a 30.0-kg block is initially at rest on a horizontal surface. a horizontal force of 77.0 n is required to set the block in motion, after which a horizontal force of 55.0 n is required to keep the block moving with constant speed.

Answers

Answer 1

The static friction force required to set the block in motion is approximately 77.0 N, and once it is in motion, a force of 55.0 N is required to keep it moving at a constant speed.

The problem states that a 30.0-kg block is initially at rest on a horizontal surface. To set the block in motion, a horizontal force of 77.0 N is required. Once the block is in motion, a force of 55.0 N is required to keep the block moving at a constant speed.

Let's analyze the situation using Newton's laws of motion:

Newton's First Law: An object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an external force.

Since the block is initially at rest, a force is required to overcome static friction and set it in motion. The magnitude of this force is given as 77.0 N.

Newton's Second Law: The acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The direction of the acceleration is in the same direction as the net force.

Once the block is in motion, the net force acting on it is now the force required to overcome kinetic friction, which is 55.0 N. Since the block is moving at a constant speed, the acceleration is zero.

From Newton's second law, we can write:

Net Force = Mass × Acceleration

When the block is at rest:

77.0 N = 30.0 kg × Acceleration (static friction)

When the block is in motion at a constant speed:

55.0 N = 30.0 kg × 0 (acceleration is zero for constant speed)

Solving the equation for the static friction force:

77.0 N = 30.0 kg × Acceleration

Acceleration = 77.0 N / 30.0 kg

Acceleration ≈ 2.57 m/s²

Therefore, the static friction force required to set the block in motion is approximately 77.0 N, and once it is in motion, a force of 55.0 N is required to keep it moving at a constant speed.

The given question is incomplete and the complete question is '' a 30.0-kg block is initially at rest on a horizontal surface. a horizontal force of 77.0 n is required to set the block in motion, after which a horizontal force of 55.0 n is required to keep the block moving with constant speed. find the static friction force required to set the block in motion.''

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Answer 2
Final answer:

The question asked about static and kinetic friction regarding a 30.0-kg block. The coefficient of static friction was calculated as 0.261 and the coefficient of kinetic friction as 0.187, indicating a higher force is needed to initiate motion than to sustain it.

Explanation:

This question is about the concepts of static and kinetic friction as they relate to a 30.0-kg block on a horizontal surface. The force required to initiate the motion is the force to overcome static friction, while the force to keep the block moving at a constant speed is the force overcoming kinetic friction.

First, we can use the force required to set the block in motion (77.0N) to calculate the coefficient of static friction, using the formula f_s = μ_sN. Here, N is the normal force which is equal to the block's weight (30.0 kg * 9.8 m/s² = 294N). Hence, μ_s = f_s / N = 77.0N / 294N = 0.261.

Secondly, to calculate the coefficient of kinetic friction we use the force required to keep the block moving at constant speed (55.0N), using the formula f_k = μ_kN. Therefore, μ_k = f_k / N = 55.0N / 294N = 0.187.

These values tell us that more force is required to overcome static friction and initiate motion than to maintain motion (kinetic friction), which is a consistent principle in Physics.

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Related Questions

A solution of sugar water has a specific gravity of 1.05. What is the volume, in quarts, of 0.350 kg of the sugar water

Answers

The volume of 0.350 kg of sugar water with a specific gravity of 1.05 is approximately 0.352 quarts that can be calculated by the use of use the specific gravity of the solution.

To determine the volume of the sugar water, we need to use the specific gravity of the solution. The specific gravity is defined as the ratio of the density of a substance to the density of a reference substance. In this case, the reference substance is water. The specific gravity of 1.05 means that the sugar water is 1.05 times denser than water.

First, we need to find the density of the sugar water by multiplying the specific gravity by the density of water, which is approximately 1 g/mL. Therefore, the density of the sugar water is 1.05 g/mL.

Next, we can convert the mass of the sugar water from kilograms to grams by multiplying by 1000. So, 0.350 kg is equal to 350 g.

To find the volume, we divide the mass by the density. Thus, the volume of 0.350 kg of sugar water is 350 g / 1.05 g/mL = 333.33 mL.

Finally, we convert the volume from millilitres to quarts. Since 1 quart is equal to 946.353 mL, we divide the volume in millilitres by this conversion factor. Therefore, the volume of 0.350 kg of sugar water is approximately 0.352 quarts.

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discuss the implications of assuming a constant viscosity. how would the solution change if we allowed for a variable viscosity.

Answers

Unless otherwise specified, it is assumed that the flow is steady, laminar, Newtonian, with constant density and viscosity throughout.

Newtonian thinking: What is it?

Newtonians recognized that the planets and stars affected the Earth in some way. The astrological issues, which were acceptable in the Aristotelian worldview, were, however, either gradually absorbed by other branches of natural science or discarded entirely in the Newtonian worldview.

What are Newtonian and non-Newtonian theories?

Newton's law of constant viscosity is observed by Newtonian fluids. At shear stress, these fluids exhibit zero shear rate and constant viscosity. Non-Newtonian fluids are those whose viscosity is not consistent and whose reaction to shear stress is unpredictable.

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Erik Erikson's theory of psychosocial development emphasizes that development occurs by overcoming an emotional
crisis in each of the eight stages of one's lifetime.
Please select the best answer from the choices provided
true or false??????

Answers

Answer:

trueeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Explanation:

The theory is true that psychosocial development emphasizes that development occurs by overcoming an emotional crisis.

What is psychosocial development?

The term "psychosocial development" refers to how a human's personality changes during childhood and adulthood, as well as how social skills are acquired. The eight phases of psychosocial development were first described by psychologist Erik Erikson in the 1950s. According to Erikson, each stage is marked by a "psychosocial crisis" that can either have a good or negative impact on a person's personality.

Erikson asserts that a person's personality and social abilities change over the course of eight stages that span the entirety of their life. A person encounters a psychosocial crisis—critical issues—at each level, which must be overcome.

The way a person handles each of these crises has an impact on their personality. If people respond favorably, they acquire virtue (moral behavior).

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i don’t know the answer to 4395g=________kg

Answers

4395g = 4.395 . divide it by 1000

Answer:

4.395kg

Explanation:

1kg=1000g

Therefore, 4395g/1000g=4.395kg

What is the frequency of a wave traveling at 10 m/s with a wavelength of 2 m?

Answers

Answer:

5 Hz

Explanation:

Given:

Wave velocity ( v ) = 10 m / sec

wavelength ( λ ) = 2 m

We have to calculate Frequency ( f ) :

We know:

v = λ / t [ f = 1 / t ]

v = λ f

= > f = v / λ

Putting values here we get:

= > f = 10 / 2 Hz

= > f = 5 Hz

Hence, frequency of sound is 5 Hz.

Consider the case in which the clay is launched along Path Y. The sphere of clay is launched with an initial velocity of v0 and collides with the rod at a distance of l from the pivot. The length of the rod is L. The rotational inertia of the rod about the joint is IR, and the mass of the clay is mc. The clay is considered a point mass. What is the angular speed f of the clay-rod system immediately after the collision

Answers

Answer:

    w = \(\frac{m}{ml^2 + I R^2 }\)  v l

Explanation:

Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved

initial instant. Before the crash

          L₀ = m v l

Final moment. After the collision with the clay stuck to the rod

          L_f = I_{total} w

angular momentum is conserved

         L₀ = L_f

         m v l = I_total w

         w = \(\frac{m}{I_{total} }\)  v l

the total moment of inertia is the sum of the moments of inertia of the two bodies

the moment of inertia of the rod is

        I_rod = I R²

        I_total = m l² + IR²

we substitute

          w = \(\frac{m}{ml^2 + I R^2 }\)  v l

The angular speed f of the clay-rod system immediately after the collision

\(w=\dfrac{m}{ml^2+IR^2}VI\)

What is angular speed?

Angular speed is defined as the rate of change of angular displacement,Angular Speed (ω) is the scalar measure of rotation rate. In one complete rotation, angular distance travelled is 2π and time is time period (T)

Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved

initial instant. Before the crash

\(L_o=mvl\)

Final moment. After the collision with the clay stuck to the rod

\(L_o = L_f m v l = I_{total} w\)

\(w=\dfrac{m}{I_{total}} Vl\)

the total moment of inertia is the sum of the moments of inertia of the two bodies

the moment of inertia of the rod is

     \(I_rod = I R^2 I_{total} = m l^2 + IR^2\)

we substitute

\(w=\dfrac{m}{ml^2+IR^2}VI\)

Hence the angular speed f of the clay-rod system immediately after the collision

\(w=\dfrac{m}{ml^2+IR^2}VI\)

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A wheelbarrow can be used to help lift a load, such as a pile of dirt, and then push the load across a distance.A man pushes a wheelbarrow.Which simple machines make up a wheelbarrow

Answers

A wheelbarrow is actually a combination of several simple machines that work together to make it possible to lift and move heavy loads with ease. In fact, a wheelbarrow is often referred to as a "compound machine" because it consists of more than one simple machine.

To start with, there is the lever. The handles of the wheelbarrow act as levers that allow the user to lift and control the load. The user applies force to the handles, which in turn, lifts the load up off the ground.

Next, there is the wheel and axle. The wheel and axle of the wheelbarrow make it much easier to move the load across a distance. The user pushes the wheelbarrow forward, and the wheel and axle help to reduce the amount of force needed to move the load by transferring the weight to the wheel.

Finally, there is the inclined plane. The bed of the wheelbarrow is essentially an inclined plane, which allows the load to be lifted more easily than it would be if it were simply lifted straight up. The inclined plane allows the load to be raised gradually, reducing the amount of force needed to lift it.

So, in conclusion, the simple machines that make up a wheelbarrow are levers, wheels and axles, and inclined planes.

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while driving, a driver with no seat belt nor air bag hit the windshield and the contact time was 0.66 millisecond. the speed before crash was 30 m/s. the driver weighs 80 kg, while the car is 1,500 kg. assume constant deceleration. the force on the driver was kn.

Answers

The correct answer to the force on the driver is: -3,636.36 kN

The force on the driver can be calculated using the formula for force, F = ma, where F is the force, m is the mass, and a is the acceleration. Since we are assuming constant deceleration, we can use the formula a = (v_f - v_i)/t, where v_f is the final velocity, v_i is the initial velocity, and t is the time.

First, we need to convert the time from milliseconds to seconds: 0.66 milliseconds = 0.00066 seconds.

Next, we can plug in the values into the formula for acceleration: a = (0 - 30 m/s)/0.00066 s = -45,454.55 m/s².

Finally, we can plug in the values into the formula for force: F = (80 kg )(-45,454.55 m/s²) = -3,636,363.64 N.

Therefore, the force on the driver was -3,636,363.64 N or -3,636.36 kN.

Answer: -3,636.36 kN.

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If the balloon is now blown up to twice this diameter without changing the charge, the electric field at its surface is?

Answers

The electric field at the surface of a balloon is determined by the charge and the radius of the balloon. Assuming the charge remains constant while the diameter is doubled, the radius of the balloon will also double.

The electric field at the surface of a charged sphere is given by:

E = k × (Q / r^2)

Where:

E is the electric field,

k is the Coulomb's constant (a proportionality constant),

Q is the charge,

r is the radius of the sphere.

Since the diameter is doubled, the radius is also doubled. Let's denote the original radius as r1 and the new radius as r2. We can express the relationship between r1 and r2 as r2 = 2 × r1.

Therefore, the electric field at the surface of the inflated balloon with twice the diameter is:

E2 = k × (Q / r2^2) = k × (Q / (2 × r1)^2) = k × (Q / 4 × r1^2)

Comparing E2 to the original electric field at the surface of the balloon (E1), we can see that the electric field at the surface is reduced by a factor of 1/4 when the diameter is doubled while keeping the charge constant.

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A hospital engineer finds an unidentified radioactive source using his Geiger counter in the nuclear medicine department. explain how the engineer could identify what type of radiation is being emitted from the source.
.
Any Idias? ​

Answers

Ionising radiation such as alpha and beta particles or gamma rays are detected using the Geiger-Müller (GM) tube. The radiation enters the tube through a very thin window at one end.

A radioisotope used for diagnostics must generate enough gamma rays to escape from the body and have a short enough half-life to decay away shortly after imaging is concluded. Tc-99 is the most often used radioisotope in medicine, accounting for approximately 80% of all nuclear medicine treatments.

Nuclear imaging is used to study the function of organs and tissues. During the operation, a trace amount of a radioactive chemical is used to aid in the examination. Body tissue absorbs the radioactive substance, known as a radionuclide (radiopharmaceutical or radioactive tracer).

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find the net work w done on the particle by the external forces during the particle's motion.express your answer in terms of f and s . gg done on the particle by the external forces during the particle's motion. to understand the meaning and possible applications of the work-energy theorem. in this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. we will start with a special case: a particle of mass m moving in the x direction at constant acceleration a . during a certain interval of time, the particle accelerates from vi to vf , undergoing displacement is given by s

Answers

The net work (W) done on the particle by the external forces during its motion can be expressed in terms of the initial (Ki) and final (Kf) kinetic energies as: \(W = ((1/2) \times m \times  vf^2) - ((1/2) \times  m \times  vi^2)\)

To find the net work (W) done on the particle by the external forces during the particle's motion in terms of the initial (Ki) and final (Kf) kinetic energies, we will use the work-energy theorem. The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy.

Step 1: Calculate the initial kinetic energy (Ki) and final kinetic energy (Kf).
Ki = (1/2) * m * vi²
Kf = (1/2) * m * vf²

Step 2: Calculate the change in kinetic energy (ΔK) as the difference between Kf and Ki.
ΔK = Kf - Ki

Step 3: According to the work-energy theorem, the net work (W) done on the particle by the external forces during its motion is equal to the change in kinetic energy (ΔK).
W = ΔK

Step 4: Substitute the expressions for Ki and Kf from step 1 into the equation for W from step 3.
W = ((1/2) * m * vf²) - ((1/2) * m * vi²)

In conclusion, the net work (W) done on the particle by the external forces during its motion can be expressed in terms of the initial (Ki) and final (Kf) kinetic energies as:  W = ((1/2) * m * vf²) - ((1/2) * m * vi²)

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Complete Question:

Find the net work W done on the particle by the external forces during the motion of the particle in terms of the initial and final kinetic energies. Express your answer in terms of Ki and Kf. Work done on the particle by the external forces during the particle's motion. To understand the meaning and possible applications of the work-energy theorem. In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a . During a certain interval of time, the particle accelerates from vi to vf, undergoing displacement is given by s=xf −xi.

Observations: (Describe the eleanliness of your buret following pre-treatment. One sentence only. Si measuring starts from Pen to p to bottom Data: (show your representative calculations on the next page) The density of water at 29

C is 0.99595 Calculations: Include all wits in your calculation and report your answer with the correct number of significant figures and wirs. Density of Water (from linear interpolation if needed): Show how the volume of the second transfer was calculated from the mass and density values: Show how the average absolute error was calculated. Post Experiment Questions: Complete the following statement: The student grade buret delivered approximately 5 mL samples with an average absolute error of showing good, marginal, or poor accuracy or precision compared to the tolerance of expected for these burets.

Answers

The cleanliness of the buret following pre-treatment was pristine. The density of water at 29∘C is 0.99595.

To find the volume of water in the buret, weigh the buret and record the mass (measured in grams). Fill the buret with water up to a specific volume, and record the mass (in grams) and volume (in mL) again. Subtract the mass of the empty buret from the mass of the buret filled with water to get the mass of the water. Show your work.Using the formula, Density = Mass / Volume, calculate the density of water.

Calculate the volume of the second transfer by taking the volume of the first transfer and subtracting the volume delivered during the first titration. Finally, to calculate the average absolute error, take the absolute value of the difference between the theoretical amount of titrant required to reach the endpoint and the actual amount of titrant delivered to reach the endpoint.Post Experiment Questions: The student grade buret delivered approximately 5 mL samples with an average absolute error of 0.02 mL, showing good accuracy or precision compared to the tolerance of expected for these burets.

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Radio waves of frequency 1.667 GHzGHz arrive at two telescopes that are connected by a computer to perform interferometry. One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.

Required:
a. Will the two waves combine constructively or destructively?
b. Calculate the value of m for the path difference between the two signals

Answers

Explanation:

The frequency of radio waves is 1.667 GHz

One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.

There are two conditions for interference either constructive or destructive.

For constructive interference , the path difference is n times of wavelength and for destructive interference, the path difference is (n+1/2) times of wavelength

We can find wavelength in this case as follows :

\(\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{1.667\times 10^9}\\\\\lambda=0.1799\ m\)

If we divide path difference by wavelength,

\(\dfrac{\delta}{\lambda} =\dfrac{1.26}{0.1799}\\\\\dfrac{\delta}{\lambda} =7\\\\\delta =7\lambda\)

It means that the path difference is 7 times of the wavelength. it means the two waves combine constructively and the value of m for the path difference between the two signals is 7.

Which instrument changes kinetic energy into electrical energy?




electric motor

hair drier

electric bell

dynamo​

Answers

Answer:

Dynamo

Explanation:

Dynamo started to rotate which is known as kinetic energy.When dynamo is in running it produces electricity.dynamo specially used for generating electricity.

A person jogs at an average velocity of 3 m/s West. How long will it take this person to run a 30-meter city block?​

Answers

Answer:

It will take the person 10 seconds to run a 30-meter city block.

Explanation:

To solve this problem, we must remember the formula for velocity:

velocity = displacement/time

If we plug in the values that we are given, we get:

3 m/s = 30 m/time

We can see from the above equation that our answer should be in seconds, so we can get rid of the units to simplify the equation slightly.

3 = 30/t

Next, we can multiply both sides by t:

3t = 30

Then, we should divide both sides of the equation by 3 to get the variable t alone on the left side of the equation.

t = 10

Therefore, the correct answer is 10 s.

Nancy and Joe were racking the leaves in their yard. Initially Joe claimed the bag of leaves was not heavy. Joe didn't notice a difference in the weight of the bag of leaves until the end when he claimed that there must be rocks in there. Joe was experience which of the following?
sensory adaptation
difference threshold
priming
transduction

Individuals with damage to their visual cortex should not be able to see objects presented to them. But when presented objects in a laboratory individuals were able to identify which cup was larger. This shows that the brain engages in which of the following?
parallel processing
feature detection
blind spot
retinal disparity

Sally is researching children's fear of heights. She utilizes a device that determines if children will continue to crawl past a visible edge. Sally is most likely using which of the following devices?
depth perception apparatus
visual cliff
MRI scans
binocular cues

Answers

Joe was experiencing sensory adaptation, while individuals with damage to their visual cortex who could still identify object sizes were engaging in parallel processing. Sally is likely using a visual cliff apparatus to study children's fear of heights.

Joe's experience of not noticing a difference in the weight of the bag of leaves until the end suggests sensory adaptation. Sensory adaptation is the phenomenon where our sensory receptors become less responsive to constant or repetitive stimuli over time. In this case, Joe initially claimed the bag of leaves was not heavy because his sensory receptors adapted to the weight. However, when he noticed a sudden change in weight, he attributed it to the presence of rocks, indicating a difference threshold.

In the second scenario, individuals with damage to their visual cortex should theoretically not be able to see objects presented to them because the visual cortex plays a crucial role in processing visual information. However, when they were able to identify which cup was larger, it indicates that the brain engages in parallel processing. Parallel processing is the ability of the brain to simultaneously process multiple aspects of a stimulus or task. In this case, even though the individuals' visual cortex was damaged, other visual processing pathways or areas in the brain were able to contribute to the identification of object sizes.

Sally's use of a device to determine if children will continue to crawl past a visible edge suggests that she is using a visual cliff apparatus. The visual cliff apparatus is a device used in psychological studies to assess depth perception in infants and young animals. It typically consists of a glass or  plexiglass surface with a visible drop-off, creating the illusion of a cliff. By observing the behavior of children when faced with the visual cliff, researchers can gain insights into their perception of heights and their fear response. The visual cliff apparatus helps to assess if children have developed depth perception and if they perceive the visible edge as a potential danger.

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A 0.250 kg block resting on a frictionless horizontal surface is attached to a spring having force constant 83.8 N/m as in figure P13.16. A horizontal force F causes the spring to stretch a distance of 5.46 cm from its equilibrium position.
(a) Find the value of F.
(b) What is the total energy stored in the system when the spring is stretched?
(c) Find the magnitude of the acceleration of the block immediately after the applied force is removed.
(d) Find the speed of the block when it first reaches the equilibrium position.
(e) If the surface is not frictionless but the block still reaches the equilibrium position, how would your answer to part (d) change? What other information would you need to know to answer?

Answers

Answer:

Explanation:

a)

By Hooke's law

F=kx

⇒kd

=83.8×0.0546

=4.575N

By Hooke's law, F=kx ⇒kd =83.8×0.0546 =4.575N.

What is Hooke's law?

The first traditional example of an explanation of elasticity is Hooke's law. Elasticity is the quality of a substance or item that allows it to return to its original shape after distortion.

It is possible to refer to a "restoring force" as the capacity to restore normal shape after distortion. This restoring force, when viewed in the context of Hooke's Law, is often proportional to the degree of "stretch" encountered.

These experiments can range from blowing up a balloon and pulling on a rubber band to calculating the amount of wind pressure required to bend and wobble a tall building.

Therefore, By Hooke's law, F=kx ⇒kd =83.8×0.0546 =4.575N.

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Which sex is born with half-formed versions of
their gametes that will mature at puberty

Answers

I’m pretty sure it’s females

Answer:

females

Explanation:

The ova(egg) starts meiosis as a foetus but doesn't complete it until puberty. This is when the menstrual cycle will start to occur indicating the gametes( egg) is maturing and if not fertilized will be removed.

Astronomers have concluded that the Sun's activity varies in an 11-year cycle. Which of the following statements about this cycle is TRUE?
a. The Sun's activity cycle shows absolutely no connection to its magnetic field.
b. When sunspots are at a minimum we get the largest number of flares and prominences.
c. The number of sunspots gets larger and smaller over the course of 11 years.
d. Every 11 years sunspots completely cover the Sun making its surface much darker.

Answers

Since astronomers have concluded that the Sun's activity varies in an 11-year cycle, the statement about this cycle which is true is that: C. The number of sunspots gets larger and smaller over the course of 11 years.

What is the Sun?

In Science, the Sun can be defined as an astronomical (celestial) body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.

Based on astronomical records and information, we can reasonably infer and logically deduce that all of the activities which are associated with the Sun generally varies in an 11-year cycle, and this makes the number of sunspots to both get smaller and larger within a period of eleven (11) years.

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A circuit has two batteries and a resistor as shown. In the figure, the terminal voltage of the 12 V battery is closest to _____.
a. 15.6 V
b. 13.2 V
c. 8.4 V
d. 10.8 V
e. 9.6 V

Answers

Answer:

a 15.6voltz

i Hope this helps

From base camp, a park ranger drives 27 meters at 32 degrees East of North, then 40 meters at 58 degrees West of North, and finally 39 meters directly West in an attempt to rescue a lost hiker.

Answers

Answer:

R = 73.34 m,   θ = 37º North of West

Explanation:

In this exercise you are asked to find the distance traveled.

The best way to do this is with a Cartesian coordinate system, let's use a system where the x axis coincides with the West - East direction), to decompose the trajectories

First trajectory

distance d₁ = 27 m

Direction 32 East of North, this angle is measured from the vertical direction (y-axis)

           cos 32 = y₁ / d₁

           sin 32 = x₁ / d₁

           y₁ = d₁ cos 32

           x₁ = d₁ sin 32

           y₁ = 27 cos 32 = 22.90 m

           x₁ =  27 sin 32 = 14.31 m

second trajectories

distance d2 = 40 m

direction 58 West from North, the angle is measured with respect to the y axis, towards the negative side of the x axis

            cos 58 = y₂ / d₂

            sin 32 = x₂ / d₂

            y₂ = d₂ cos58

            x₂ = d₂ sin 58

            y₂ = 40 cos 58 = 21.20 m

            x₂ = 40 sin 58 = -33.92 m

The negative sign of the x coordinate is due to the fact that the displacement is towards the West (negative of the x axis)

third trajectory

distance d₃ = 39 m

West direction, negative part of x-axis

             x₃ = - 39 m

the total distance is

            = x₁ + x₂ + x₃

            X_{total}l = 14.30 - 33.92 -39

            X_{total}X_total = -58.6 m

           

            Y_{total} = y₁ + y₂

             Y_{total}= 22.90 + 21.20

             Y_{total} = 44.1 m

we give the result in the form of module and angle

we use the Pythagorean theorem

              R = \(\sqrt{X_{total}^2 + Y_{total}^2 }\)

              R =\sqrt58.6^2 + 44.1^2 }

              R = 73.34 m

we use trigonometry

               tan θ =

               θ = tan⁻¹ \frac{  Y_{total} }{ X_{total} }

θ = tan⁻¹ \frac{ 44.1 }{ 58.6 } (44.1 / 58.6)

            θ = -37º

this angle is in the second quadrant, given in the form of cardinal coordinates is

              θ = 37º North of West

what power contact lens must be used to correct the vision of a nearsighted person whose far point is 40 cm (focal length of a convex lens)?

Answers

The power of the contact lens needed to correct the vision of a nearsighted person can be calculated using the formula:
Power of the lens (in diopters) = 1 / focal length of the lens (in meters)
Given that the focal length of the convex lens is 40 cm (or 0.4 meters), we can substitute this value into the formula:
Power of the lens = 1 / 0.4
Simplifying the calculation, we find that the power of the lens needed to correct the vision of the nearsighted person is 2.5 diopters
In other words, a contact lens with a power of 2.5 diopters should be used to correct the vision of the nearsighted person whose far point is 40 cm.
To summarize, the power of the contact lens required to correct the vision of the nearsighted person is 2.5 diopters.
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The position of an object moving along a line is given by the function s(t)=−18t 2
+54t. Find the average velocity of the object over the following intervals. (a) [1,10] (c) [1,8] (b) [1,9] (d) [1,1+h] where h>0 is any real number. (a) The average velocity of the object over the interval [1,10] is −144 (b) The average velocity of the object over the interval [1,9] is −126 (c) The average velocity of the object over the interval [1,8] is −108 (d) The average velocity of the object over the interval [1,1+h] is

Answers

The average velocity of the object over the given intervals can be calculated using the position function s(t) = \(-18t^{2}\) + 54t. The average velocities are as follows: (a) -144, (b) -126, (c) -108, and (d) -18h + 36.

The average velocity of an object can be found by calculating the change in position divided by the change in time. In this case, we are given the position function s(t) = \(-18t^{2}\) + 54t.

(a) For the interval [1,10], the change in time is 10 - 1 = 9. To find the change in position, we evaluate s(10) - s(1):

s(10) = \(-18(10)^{2}\) + 54(10) = -1800 + 540 = -1260

s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36

Change in position = -1260 - 36 = -1296

Average velocity = Change in position / Change in time = -1296 / 9 = -144.

(b) For the interval [1,9], the change in time is 9 - 1 = 8. To find the change in position, we evaluate s(9) - s(1):

s(9) = -18(9)^2 + 54(9) = -1458 + 486 = -972

Change in position = -972 - 36 = -1008

Average velocity = Change in position / Change in time = -1008 / 8 = -126.

(c) For the interval [1,8], the change in time is 8 - 1 = 7. To find the change in position, we evaluate s(8) - s(1):

s(8) = \(-18(8)^{2}\) + 54(8) = -1152 + 432 = -720

Change in position = -720 - 36 = -756

Average velocity = Change in position / Change in time = -756 / 7 = -108.

(d) For the interval [1,1+h], the change in time is (1+h) - 1 = h. To find the change in position, we evaluate s(1+h) - s(1):

s(1+h) = \(-18(1+h)^{2}\) + 54(1+h) = -18(1 + 2h + h^2) + 54(1 + h) = -18 - 36h - \(18h^{2}\) + 54 + 54h = 36h - \(18h^{2}\) + 36

s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36

Change in position = (36h - \(18h^{2}\) + 36) - 36 = 36h - \(18h^{2}\)

Average velocity = Change in position / Change in time = (36h - \(18h^{2}\)) / h = 36 - 18h.

Therefore, the average velocities for the given intervals are (a) -144, (b) -126, (c) -108, and (d) 36 - 18h.

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4. Scenario: A car runs into a truck.
a. Identify two objects that are interacting (colliding) in this scenario)
One object is...
The other object is...
b. Identify the action and the reaction forces.

4. Scenario: A car runs into a truck.a. Identify two objects that are interacting (colliding) in this

Answers

One object is a car and the other object is a truck. The action will be from the car while the reaction will be from the truck.

What happens when the objects collide?

When the objects collide then one will be acting on the other while the receiver of the force reacts to it. After a collision, Newton's third law of motion comes into play.

At this time, the second body, the truck will exert a force that is the same in magnitude and opposite in the direction of the car which initiated the action. From this law of motion, we can deduce the actor and reactor.

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Gravitational attraction is the driving force for which processes? Stellar fusion Formation of Moons Expansion of the Universe Formation of stars Formation of planets Formation of nebulae

Answers

Gravitational attraction is the driving force for option (A)Stellar fusion Formation of Moons (C) Formation of stars (D) Formation of planets and (D) Formation of nebulae

Gravitational attraction is the driving force for the following processes:

Formation of moons: Gravity is responsible for the formation and maintenance of moons in orbit around planets.

Formation of stars: Gravity causes the collapse of gas and dust clouds, leading to the formation of protos tars and ultimately stars.

Formation of planets: The gravitational attraction between dust and gas particles in a protoplanetary disk causes them to clump together and form planets.

Formation of nebulae: Gravity can cause the collapse of interstellar gas and dust clouds, leading to the formation of nebulae.

Expansion of the Universe: Although not a "process" per se, gravity plays a key role in the expansion of the universe by pulling matter together, slowing the expansion.

Stellar fusion is not driven by gravitational attraction but by the intense pressure and temperature in the core of a star, where hydrogen atoms combine to form helium.

Therefore, the correct options are (A) Stellar fusion Formation of Moons (C) Formation of stars (D) Formation of planets and (D) Formation of nebulae

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A bullet of mass 0.1 kg traveling horizontally at a speed of 100 m/s embeds itself in a block of mass 3 kg that is sitting at rest on a nearly frictionless surface. (a) What is the speed of the block after the bullet embeds itself in the block? v = m/s (b) Calculate the kinetic energy of the bullet plus the block before the collision

Answers

The speed of the block after the bullet embeds itself in the block is approximately 3.33 m/s.

To solve this apply the principle of conservation of momentum. Before the collision, the momentum of the bullet is (0.1 kg) * (100 m/s) = 10 kg m/s. After the collision, the bullet becomes embedded in the block, so the combined mass of the bullet and block is (0.1 kg + 3 kg) = 3.1 kg. speed of the block after the collision is v.

The momentum before the collision is equal to the momentum after the collision:

(0.1kg)*(100m/s)=(3.1 kg)*v

v=(0.1kg*100m/s)/3.1kg≈3.2m/s

Therefore, the speed of the block after the bullet embeds is approximately 3.33m/s.The kinetic energy of the bullet plus the block before the collision, consider the kinetic energy of the bullet and the block separately.

The kinetic energy of an object is given by the equation:

KE = (1/2)*mass*velocity^2

KE_bullet = (1/2)*(0.1 kg)*(100 m/s)^2 = 500J

The kinetic energy of the block before the collision is zero since it is at rest.

Therefore, the total kinetic energy is 500 J.

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Compare the gravitational field and the electric field produced by a proton

O The electric field is stronger and is the opposite direction of the gravitational field
C The gravitational field is stronger and is in the same direction as the electric field
O The gravitational field is the same strength as the electric field
O The electric field is stronger and has the same direction as the gravitational field

Answers

By using what we know about microscopic interactions, we will see that the correct option is:

"The electric field is stronger and is the opposite direction of the gravitational field"

Comparing the gravitaitonal and electric fields.

The gravitational field depends on the mass of the proton, while the electric field depends on the charge of the proton. We know that gravity is negligible at such small scales, where the electric and nuclear interactions rule. So for such small particles, electric fields will always be stronger than gravitational fields.

Now, in which direction points each field?

We know that the gravitational force is an attractive force, so the field will point inwards.

In the other hand, the electric force depends on the type of the charge. Two equal chares repel and two opposite charges attract.

In the case of the proton, we have a positive charge, so it will only atract negative charged particles. So the vectors of the field point outwards.

Then we can conclude that the field's directions are opposite.

Then the correct option is:

"The electric field is stronger and is the opposite direction of the gravitational field"

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A wave has a frequency of 3 Hz, how long is the period?

A 9

B 6

C 3

D .33

Answers

Answer D

Explanation I did the quiz

If a vector C is defined to be the sum of these two vectors (i.e. C = A + B) which of the following are true about the magnitude of C? Choose all that apply.
Cmax = (1^2 + 10^2)^0.5
Cmin = 9
Cmax = 10
Cmin = 0
Cmin = (1^2 + 10^2)^0.5
Cmax = 11

Answers

Cmax = 11 and Cmin = 9

When two vectors are added, let's say a and b, their resultant, let's say c is given by

c = √(a² + b² + 2ab cosΦ)

where Φ is the angle between them.

Assuming in given question a = 10 and b =1

so resultant c = √(10² + 1² + 2×10×1× cosΦ)

for Cmax, cosΦ = 1, a and b are parallel

so Cmax = √(a² + b² + 2ab)

Cmax = a + b

Cmax = 10 + 1

Cmax = 11,

similarly for Cmin, cosΦ = -1, a and b are antiparallel

so Cmin = √(a² + b² - 2ab)

Cmin = a- b

Cmin = 10 - 1

Cmin = 9

Therefore, Cmax = 11 and Cmin = 9.

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What is projectile motion?
A. Motion in which an object moves under the influence of gravity
B. Motion in which an object has a changing velocity
C. Motion in which an object has a constant velocity
D. Motion in which an object has zero acceleration

Answers

Answer:

A

Explanation:

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