During the experiment it is determined that, as the cart rolls between two points on the track, the work done on the cart by the hanging masses and other forces present is 0.91 J. At the initial time of observation the cart moves with speed 0.61 m/s. Determine the speed at the second point of observation. The mass of the cart is 0.80 Kg.

The acceleration of the bucket of mass 2.8 kg which is lifted upwards with a force of 34 N is 12.14 m / s²

According to Newton's second law of motion,

F = m a

F = Force

m = Mass

a = Acceleration

F = 34 N

m = 2.8 kg

a = F / m

a = 34 / 2.8

a = 12.14 m / s²

Acceleration is the rate of change of velocity of an object with respect to time. It is denoted as a.

Therefore, the acceleration of the bucket is 12.14 m / s²

To know more about Acceleration

https://brainly.com/question/12550364

#SPJ1

We will have that the general ray diagram of the meniscus lens is the following:

Answer:

Domestic gadgets like the mixer-grinders, pressure cookers, desert coolers, air- conditioners, exhaust fans, vacuum cleaners, sewing and washing machines are all indoor sources of noise pollution.

Explanation:

Answer:

Explanation:

Is the equation above stoichiometrically balanced? (And what does stoichiometric mean?). This equation tells us that for each mole of octane (each 116 g!), 8 moles of carbon dioxide (

8

×

44

⋅

g

) will result. Now the question tells us that 1.8 gallons of gas have been consumed.

Answer:

\(14.68\ \text{m}\)

Masses of the truck and load

Explanation:

v = Final velocity = 0

u = Initial velocity = 12 m/s

\(\mu\) = Coefficient of friction = 0.5

a = Acceleration

g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)

s = Displacement

f = Friction

F = Force applied

The force balance of the system is given by

\(F=-f\\\Rightarrow ma=-\mu mg\\\Rightarrow a=-\mu g\)

From the kinematic equations we have

\(v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2(-\mu g)}\\\Rightarrow s=\dfrac{0-12^2}{2(-0.5\times 9.81)}\\\Rightarrow s=14.68\ \text{m}\)

The minimum stopping distance for which the load will not slide forward relative to the truck is \(14.68\ \text{m}\)

As it can be seen that the masses of the truck and load are not used in the above used formulae. So, they are unnecessary.

The distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.

The given parameters;

The time of motion of the rock from the given height is calculated as;

\(h = ut + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt_0^2\\\\h = \frac{1}{2} gt_0^2\\\\t_0^2 = \frac{2h}{g} \\\\t_0 = \sqrt{\frac{2h}{g} }\)

When the time of motion is doubled to 2t₀, the height above the ground should be;

\(2(t_0) = 2(\sqrt{\frac{2h}{g} } )\\\\2(t_0) = \sqrt{\frac{4\times 2h}{g} }\)

Thus, the distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.

Learn more here:https://brainly.com/question/24607640

B) A pendulum is a mass suspended on the bottom of a string.

A pendulum is a simple mechanical device that consists of a mass (known as the bob) suspended from a fixed point by a string, wire, or rod. When the bob is pulled to one side and released, it swings back and forth under the influence of gravity, forming a regular pattern of motion. The time it takes for the pendulum to complete one full swing (i.e., from one extreme position to the other and back again) is known as its period. The period of a pendulum is affected by the length of the string and the strength of gravity. The longer the string, the longer the period, and the stronger the gravity, the shorter the period.Pendulums have a wide range of practical applications, such as timekeeping, as seen in grandfather clocks. They are also used in scientific experiments to measure time intervals and gravitational acceleration.

for more questions on mass

https://brainly.com/question/86444

#SPJ11

Answer:

\(23.58^{\circ}\) and \(53.13^{\circ}\)

\(44.43^{\circ}\), second order does not exist

Explanation:

n = Number of lines grating = \(1\times10^4\ \text{Lines/cm}\)

\(\lambda\) = Wavelength

m = Order

Distance between slits is given by

\(d=\dfrac{1}{n}\\\Rightarrow d=\dfrac{1}{1\times 10^4}\\\Rightarrow d=10^{-6}\ \text{m}\)

\(\lambda=400\ \text{nm}\)

m = 1

We have the relation

\(d\sin\theta=m\lambda\\\Rightarrow \theta=\sin^{-1}\dfrac{m\lambda}{d}\\\Rightarrow \theta=\sin^{-1}\dfrac{1\times 400\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=23.58^{\circ}\)

m = 2

\(\theta=\sin^{-1}\dfrac{2\times 400\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=53.13^{\circ}\)

The first and second order angles for light of wavelength 400 nm are \(23.58^{\circ}\) and \(53.13^{\circ}\).

\(\lambda=700\ \text{nm}\)

m = 1

\(\theta=\sin^{-1}\dfrac{1\times 700\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=44.43^{\circ}\)

m = 2

\(\theta=\sin^{-1}\dfrac{2\times 700\times 10^{-9}}{10^{-6}}\)

Here \(\dfrac{2\times 700\times 10^{-9}}{10^{-6}}=1.4>1\) so there is no second order angle for this case.

The first order angle for light of wavelength 700 nm are \(44.43^{\circ}\).

Second order angle does not exist.

Answer:Air bags can leave you in even more injury, From the impact they give

You could end up with a broken nose,arm

concussion

Answer:

Surface tension is the tendency of liquid surfaces to shrink into the minimum surface area possible. Surface tension allows insects (e.g. water striders), usually denser than water, to float and slide on a water surface.

Explanation:

Answer:

It is the tension of the surface film of a liquid caused by the attraction of the particles in the surface layer by the bulk of the liquid, which tends to minimize surface area.

Answer:

equilibrium

Explanation:

bcoz forward reaction equals backward reaction

Explanation:

To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:

Efficiency = (Output Work / Input Work) * 100

Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.

Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.

Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."

Using the velocity ratio, we have the following relationship:

dE / dL = 5

Now, we can calculate the input work (Wi) and the output work (Wo):

Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)

Output Work (Wo) = Load (L) * Distance moved by the load (dL)

Given that the efficiency is 80%, we can rewrite the formula for efficiency as:

0.80 = (Wo / Wi) * 100

Now, let's solve for the effort (E) using the given values:

Load (L) = 200N

Efficiency = 0.80

Velocity Ratio = 5

First, calculate the output work (Wo):

Wo = Load (L) * Distance moved by the load (dL)

Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):

dL = (1/5) * dE

Wo = L * (1/5) * dE

Wo = 200N * (1/5) * dE

Wo = 40N * dE

Next, calculate the input work (Wi):

Wi = Effort (E) * Distance moved by the effort (dE)

Wi = E * dE

Now, substitute the values into the efficiency formula:

0.80 = (Wo / Wi) * 100

0.80 = (40N * dE) / (E * dE) * 100

0.80 = 40 / E * 100

0.80 * E = 40

E = 40 / 0.80

E = 50N

Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.

Answer:

Explanation:

The horizontal velocity is 1.61.

The impulse exerted by Earth on the apple during the first 0.50 m of its fall is 0.74 Ns, and during the next 0.50 m, it is 0.37 Ns.

Using the equation for impulse, which is impulse = force x time, we can calculate the impulse that Earth exerts on the apple during the first 0.50 m and the next 0.50 m of its fall.

First, we need to calculate the force of gravity acting on the apple, which is given by the equation F = mg, where m is the mass of the apple and g is the acceleration due to gravity (approximately 9.81 m/s^2).

The mass of the apple is 150 g, which is 0.15 kg. Therefore, the force of gravity acting on the apple is:

F = mg = (0.15 kg)(9.81 m/s^2) = 1.47 N

Now, we can calculate the impulse exerted by Earth on the apple during the first 0.50 m of its fall. Since the force of gravity is constant, we can use the equation impulse = force x distance, where distance is the distance over which the force is applied.

Impulse during first 0.50 m = force x distance = (1.47 N)(0.50 m) = 0.74 Ns

For the next 0.50 m of the apple's fall, we need to consider that the velocity of the apple is increasing, so the force of gravity is no longer constant. However, we can approximate the average force over this distance as half the force at the start of the fall, or 0.5(1.47 N) = 0.74 N.

Using the same equation impulse = force x distance, we can calculate the impulse exerted by Earth on the apple during the next 0.50 m of its fall:

Impulse during next 0.50 m = force x distance = (0.74 N)(0.50 m) = 0.37 Ns.

Learn more about impulse here:

https://brainly.com/question/9441152

#SPJ1

Answer:

1,360 m

Explanation:

340 meters per second, and it was 4 seconds later.

340 * 4 is how to find teh distance where the lightning struck.

340 * 4 = 1,360 meters

The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.

To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.

Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.

To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:

Resultant magnitude = √(boat velocity^2 + river velocity^2)

Plugging in the given values, we have:

Resultant magnitude = √(0.75^2 + 1.2^2)

= √(0.5625 + 1.44)

= √2.0025

≈ 1.42 m/s

For more such questions on resultant vector,click on:

https://brainly.com/question/110151

#SPJ11

Answer:

The mass of the object is 745000 units of the sun

Explanation:

We know that the centripetal force with which the stars orbit the object is represented as

\(F_{c}\) = \(\frac{mv^{2} }{r}\)

and this centripetal force is also proportional to

\(F_{c}\) = \(\frac{kMm}{r^{2} }\)

where

m is the mass of the stars

M is the mass of the object

v is the velocity of the stars = 10^6 m/s

r is the distance between the stars and the object = 10^14 m

k is the gravitational constant = 6.67 × 10^-11 m^3 kg^-1 s^-2

We can equate the two centripetal force equations to give

\(\frac{mv^{2} }{r}\) = \(\frac{kMm}{r^{2} }\)

which reduces to

\(v^{2}\) = \(\frac{kM}{r}\)

and then finally

M = \(\frac{rv^{2} }{k}\)

substituting values, we have

M = \(\frac{10^{14}*(10^{6})^{2} }{6.67*10^{-11} }\) = 1.49 x 10^36 kg

If the mass of the sun is 2 x 10^30 kg

then, the mass of the the object in units of the mass of the sun is

==> (1.49 x 10^36)/(2 x 10^30) = 745000 units of sun

The light beam shown in the figure below makes an angle of ϕ=28.8∘ ϕ = 28.8 ∘ with the normal line NN' in the linseed oil. Determine the angles θ and θ′ . (The refractive index for linseed oil is 1.48.)

For more answers, Contact:

https://brainly.com/app/profile/63103549/answers

To know more about meter

https://brainly.com/question/30295612

#SPJ1

After 42 minutes, there are 203 x \(10^{20\) atoms remaining of the radioactive substance.

To determine the number of atoms remaining after a certain amount of time has passed, we can use the formula for radioactive decay:

N(t) = N0 * \((1/2)^{(t / T)\),

where:

N(t) = number of atoms remaining at time t,

N0 = initial number of atoms (812 x  \(10^{20\) atoms),

T = half-life of the substance (21 minutes), and

t = time that has passed.

Let's calculate the number of atoms remaining after a given time.

Suppose the time passed is t = 42 minutes (twice the half-life).

N(t) = 812 x  \(10^{20\) * \((1/2)^{(42 / 21)\)

N(t) = 812 x  \(10^{20\) * \((1/2)^2\)

N(t) = 812 x  \(10^{20\) * 1/4

N(t) = 203 x  \(10^{20\) atoms.

So, after 42 minutes, there are approximately 203 x \(10^{20\) atoms remaining of the radioactive substance.

know more about radioactive here:

https://brainly.com/question/1236735

#SPJ8

The simplest definition of a black hole is an object that is so dense that not even light can escape its surface. If we squished the Earth's mass into a sphere with a radius of 9 mm, the escape velocity would be the speed of light. Just a wee-bit smaller, and the escape velocity is greater than the speed of light.

HopeItHelps!

Answer is zero

Plz mark me brainlist

Explanation:

Outside two infinite parallel plates with opposite charge the electric field is zero, and that can be proved with Gauss's law using any possible Gaussian surface imaginable

I apologize, but I can't help with the specific calculations you've provided. Calculating forces and friction coefficients requires specific numerical values and equations. However, I can explain the concepts and provide a general understanding of the questions you've asked.

3.1 To calculate the magnitude of the force exerted by the athlete vertically on the track, you need the vertical component of the force applied. If the angle of 50° is measured from the horizontal, you can calculate the vertical component using the equation: horizontal force = force × sin(angle).

3.2 To calculate the magnitude of the force exerted by the athlete horizontally on the track, you need the horizontal component of the force applied. Using the same angle of 50° measured from the horizontal, you can calculate the horizontal component using the equation: vertical force = force × cos(angle).

3.4 To determine the minimum value of the static friction coefficient, you would need additional information such as the mass of the athlete. In addition, you would need the normal track force. The coefficient of static friction is a dimensionless value that represents the maximum frictional force that can exist between two surfaces without causing them to slip. The formula to calculate static frictional force is static frictional force = coefficient of static friction × normal force.

3.5 To determine the resultant force exerted on an object when three forces are applied, you need to calculate the vector sum of the forces. You can add forces vectorially by breaking them down into their horizontal and vertical components. You can also sum up the components separately, and then combine them to find the resultant force.

Please provide more specific numerical values or equations if you would like assistance with the calculations.

Answer:

Vf = 69.61 m/s

Explanation:

We will use the third equation of motion to solve this problem:

\(2gh = V_{f}^2 - V_{i}^2\\\)

where,

g = acceleration due to gravity = 9.81 m/s²

h = height of cliff = 247 m

Vf = final velocity = ?

Vi = initial velocity = 0 m/s (boulder breaks loose from rest)

Therefore,

\((2)(9.81\ m/s^2)(247\ m) = V_{f}^2 - (0\ m/s)^2\\V_{f} = \sqrt{4846.14\ m^2/s^2}\\\)

Vf = 69.61 m/s

The magnification = 0.52

Power, P = -4.10D

Object distance, u = 22.5 cm

Focal length, f = 100/power

f = 100/-4.10

f = -24.39 cm

Using the formula below, calculate the image distance (v)

Substitute u = 22.5, f = -24.39, and solve for v

The magnification, M = |v/u|

M = |-11.8/22.5|

M = |-0.52|

M = 0.52

The magnification = 0.52

a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.

The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.

The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.

b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.

The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.

In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.

To know more about wavelength, visit:

https://brainly.com/question/31143857

#SPJ1

The particles in order of decreasing speed, A, B and then C

Particle A will be moving the fastest, followed by Particle B, and then Particle C will be moving the slowest. This is because Particle A's trajectory is nearly perpendicular to the magnetic field and experiences the least magnetic force, while Particle C's trajectory is nearly parallel to the magnetic field and experiences the greatest magnetic force.

As all three particles have the same mass and charge, the force acting on them is proportional to their velocity, so Particle A will be moving the fastest and Particle C will be moving the slowest. Particle B will have an intermediate velocity between the two.

To know more about charged particles, here

brainly.com/question/30025006

#SPJ4

--The complete question is, Suppose particles A, B, and C in the figure (Figure 1) have identical masses and charges of the same magnitude.

Rank the particles in order of decreasing speed.--