A 400 g particle is moving in circular motion with a radius of 2.3 m . At one instant in time its speed was 3.4 m / s and it was slowing down at a rate of 2.2 m / s 2 . What was the magnitude of the net force on the particle at this instant
Answers
The net force on the particle was 2.2 N.
To find the magnitude of the net force, we can use the formula:
F = m * a
where F is the net force, m is the mass of the particle, and a is the acceleration.
The particle is moving in circular motion, so its acceleration is given by:
a = v^2 / r
where v is the speed of the particle and r is the radius of the circle.
At the instant when the particle was slowing down, its speed was 3.4 m/s, so its acceleration was:
a = (3.4 m/s)^2 / 2.3 m = 5.04 m/s^2
The mass of the particle is given as 400 g, which is 0.4 kg.
Substituting these values into the formula for net force, we get:
F = (0.4 kg) * (5.04 m/s^2) = 2.02 N
Therefore, the magnitude of the net force on the particle was 2.02 N, which is approximately equal to 2.2 N.
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Related Questions
What best describes the states of nonmetals when they are at room temperature?
Most nonmetals are gaseous, but some are liquid or solid.
All nonmetals are gaseous unless they bond with a metal.
Most nonmetals are solids, but some are gaseous or liquid.
All nonmetals are solid unless they bond with a metal.
Answers
Answer:
A.) Most nonmetals are gaseous, but some are liquid or solid
Explanation:
Answer:
a
Explanation:
Knowing Newton’s 2nd Law, how would you rearrange it to solve for acceleration.
Answers
Answer:
Force / mass
Explanation:
Divide mass on both sides to get acceleration by itself leaving you with mass below force hence divide force by mass
= (mv - mu) / t
= m (v-u) / t
= m a
( since a = (v-u)/t )
From F = m a then a= F/m
What is the rate of electric charge flow?
Answers
It's called electric current
The rate of electric charge flow is measured by electric current, which is the amount of electric charge passing through a point in a circuit per unit time. It is expressed in amperes and can be calculated using Ohm's Law.
The rate of electric charge flow is commonly referred to as electric current. It is defined as the amount of electric charge passing through a given point in a circuit per unit time. Electric current is measured in units called amperes (A).
One ampere is equivalent to one coulomb of charge flowing per second. Therefore, the rate of electric charge flow is equal to the electric current.
Electric current can be calculated using Ohm's Law, which states that current (I) is equal to the voltage (V) across a circuit divided by the resistance (R) in that circuit. Mathematically, it can be represented as
I = V / R.
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chegg using ohm’s law and kirchhoff’s loop rule, derive the equation for the equivalent resistance for resistors in series. show your work.
Answers
The equation for the equivalent resistance of resistors in series can be derived using Ohm's law and Kirchhoff's loop rule. The equivalent resistance (Req) is calculated by adding up the individual resistances (R1, R2, R3, etc.) in series.
In a series circuit, resistors are connected end-to-end, meaning the current flows through each resistor consecutively. According to Ohm's law, the voltage across a resistor (V) is equal to the product of the current (I) passing through it and the resistance (R): V = I * R.
Applying Kirchhoff's loop rule, which states that the sum of the potential differences around a closed loop is equal to zero, we can derive the equation for the equivalent resistance.
Considering a series circuit with resistors R1, R2, R3, and so on, the total voltage (V) applied to the circuit is equal to the sum of the individual voltage drops across each resistor.
By rearranging Ohm's law for each resistor and substituting the values into Kirchhoff's loop rule, we can express the equation as follows:
V = I * Req
V = I * (R1 + R2 + R3 + ...)
Since the current (I) is constant in a series circuit, we can simplify the equation to:
Req = R1 + R2 + R3 + ...
Therefore, the equivalent resistance (Req) for resistors in series is obtained by adding up the individual resistances.
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A kettle consumes 198 kJ to boil water. If 168 kJ was used to boil the
water, what is the efficiency of the kettle?
Answers
The efficiency of the kettle is 117.9%
What is efficiency?Efficiency is used to measuring how much work or energy we can conserve in a process. In other words, it is like comparing the output of the energy to the input of the energy in any given system.
It is also define as the ratio of Energy Input to the Energy Output. To express it in percent multiply it by 100.
Here, Efficiency = Energy output / Energy input
\(η =\frac{W_{out} }{W_{in} } * 100\)
\(η = \frac{198kJ}{168kJ} * 100\)
= 117.9%
So , the efficiency is 117.9%
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How much potential energy does a 75 kg diver have stepping off the edge of a 5 meter platform?
Answers
Answer:
3.678kJ
Explanation:
Given
mass= 75kg
height= 5 m
g= 9.81m/s^2
Required
Potential energy
PE= mgh
substitute
PE= 75*9.81*5
PE=3678.75J
PE= 3.678kJ
You are gardening in the peak of summer, it hasn't rained in a week, and your plants are looking rough. You decide to water the plants for an hour. The next day you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. With what you know from class, please try and explain what is happening to your plants.
Answers
In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.
However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.
It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.
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The observation deck of a skyscraper is 420 m above
the street. Determine the time required for a penny to
free fall from the deck to the street below?
Answers
The time required for a penny to free fall from the deck is 9.25 s
What is Velocity?Velocity is the directional speed of a moving object as an indication of its rate of change in position as observed from a specific frame of reference and measured by a specific time standard.A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed, a coherently derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI, is the scalar absolute value of velocity. A velocity-time graph displays the direction and speed of an object's motion over a certain amount of time. Speed-time graphs are another name for velocity-time graphs. The object's velocity is plotted along the vertical axis of a velocity-time graph. When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.Therefore,
y = 1/2at2 + v0t + y0
v = v0 + at
vf2 = v02 + 2 a (y - y0)
In this case, only the first equation is needed.
Since the object is falling the final height is 0 meters, the initial height is 420 m, and the acceleration is -9.8ms-2
Since the object is dropped, the initial velocity is 0.
0 = 1/2(-9.8)t2 + 420.
t = sqrt(420/4.9) = 9.25 s
The time required for a penny to free fall from the deck is 9.25 s
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A simple 15.2 cm reflecting telescope can achieve 1 second of arc resolution for visible light. Many radio telescopes study a particular radio wavelength of 21 cm. Complete parts a −d using the above information. a. Use the Raleigh criteron to determine how large a radio telescope aperature must be to achieve this resolution at 21 cm. b. Why must the aperture of a radio telescope be much larger than that of an optical telescope? c. Why is it possible to resolve two predominantly blue stars when the same telescope can not resolve two simarily separated red stars? d. In the galaxy pictures of 5 b, which photograph corresponds to the largest aperture?
Answers
a)The aperture size of the radio telescope needs to be approximately 0.27 meters b)The aperture of a radio telescope needs to be much larger than that of an optical telescope because radio waves have much longer wavelengths compared to visible light. c)the resolving power of a telescope depends on the ratio of the wavelength of light.
a. To determine the aperture size of a radio telescope to achieve a resolution at 21 cm, we can use the Rayleigh criterion, which states that the minimum resolvable separation (δθ) is given by:
δθ = 1.22 * (λ / D)
Where λ is the wavelength of the radiation and D is the diameter of the telescope's aperture.
Given that the radio wavelength is 21 cm (or 0.21 m), and we want to achieve the same resolution as the optical telescope (1 second of arc), we can rearrange the formula to solve for D:
D = 1.22 * (λ / δθ)
D = 1.22 * (0.21 m / 1 second of arc)
Calculating the result:
D ≈ 0.27 m
Therefore, the aperture size of the radio telescope needs to be approximately 0.27 meters to achieve a resolution of 1 second of arc at a wavelength of 21 cm.
b. The Rayleigh criterion tells us that the resolution of an instrument is inversely proportional to the wavelength.
Since radio waves have longer wavelengths, the telescope's aperture needs to be larger to achieve the same resolution as an optical telescope. This is because a larger aperture collects more incoming waves and allows for finer spatial detail to be resolved.
c. The ability to resolve two objects using a telescope depends on the size of the aperture relative to the wavelength of the radiation. When it comes to resolving stars, the resolving power of a telescope depends on the ratio of the wavelength of light to the size of the telescope's aperture (λ/D).
Blue light has a shorter wavelength compared to red light. Since the resolving power is directly proportional to the wavelength, a shorter wavelength of blue light allows for better resolution.
Therefore, two predominantly blue stars can be resolved because their shorter wavelength allows for finer detail to be distinguished, while the same separation between two predominantly red stars cannot be resolved due to the longer wavelength.
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the orion nebula, m-42, is a hot, thin cloud of glowing gas, so its spectrum is
Answers
The orion nebula, m-42, is a hot, thin cloud of glowing gas, so its spectrum is (d) a few bright lines against a dark background.
The Orion Nebula is it a cloud of gas?
One of the best-known celestial features is the Orion Nebula, often known as M42. This cloud of gas and dust, the middle "star" in Orion's dagger hanging below his belt, is so dazzling that it can be seen with the unaided eye even from a distance of more than 13 quadrillion kilometers (8 thousand trillion miles).
Why is Orion so crucial?
One of the starry sky's most intriguing and significant constellations is Orion. One reason why astronomers are drawn to it is that it contains one of the Milky Way Galaxy's closest and most active star nurseries (the Orion Nebula).
The Orion Nebula's gas glows for what reason?
The Trapezium and Nebula are located in front of a cold, dusty "giant molecular cloud" that contains regions of active star formation, around 1500 light years away. A blister on the molecular cloud's front edge gets electrified by the stars of the Trapezium, making it glow.
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please help!!! I will mark brainly.
A parachute on a drag-race car opens and changes the velocity of the car from 75 meters per second to 25 meters per second in just 5 seconds. Calculate the acceleration of the car.
Answers
Explanation:
v = u + at
25 = 75 + a * 5
25 = 75 + 5 a
a = 25 - 75/5
a = -50/5
a = -10m/sec^2
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A roller coaster is released from the top of a track that is 57 m high. Find the roller coaster speed when it reaches ground level.
Answers
Hi there!
Assuming the track is frictionless:
\(E_i = E_f\\\\PE = KE\\\\mgh = \frac{1}{2}mv^2\)
Cancel out the masses and rearrange to solve for velocity:
\(gh = \frac{1}{2}v^{2}\\\\v = \sqrt{2gh}\\\\\)
Plug in the given height and let g = 9.8 m/s²:
\(v = \sqrt{2(9.8)(57)} = \boxed{33.42 m/s}\)
two forces act on a 5kg object like shown. what is the magnitude acceleration of the object.
A. 0.2 m/s^2
B. 1.0 m/s^2
C. 1.4 m/s^2
D. 2.0 m/s^2
Answers
Answer:
B
Explanation:
resultant force is 5 so fnet /m=a
or 5/5=1ms2=B
" Sensation " occurs in the while perception occurs in the 1) brain; body 2) skin; nerves 3 ) brainstem spinal cord 4 ) body brain
Answers
Hence the complete statement will be, " Sensation " occurs in the body while perception occurs in the brain.
Option D
Sensation and its resolveGenerally, senses acquire facts from the surroundings using the sensory receptors which eventually feed into neural inputs.
These neural impulses are then dispatched to the brain there it is prepared and interpreted for in addition evaluation which is recognized as perception.
Therefore,we have the follow statements to be true
Sensation occurs in the body
Perception occurs in the brain
Option D
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"Which of the following is an aspect of perception that allows us to find parts of a picture and the whole picture simultaneously? A. Whole and part O
B. Depth O
C Figure and ground
Answers
The aspect of perception that allows us to find parts of a picture and the whole picture simultaneously is the whole and part.
Perceiving an image as a whole, while recognizing its individual parts, is the result of the concept of whole and part that underlies gestalt psychology, which studies the ways in which people interpret sensory information.
The word "gestalt" refers to the way in which the mind organizes information into a meaningful whole. This form of psychology is focused on understanding the ways in which humans perceive the environment and the stimuli that it provides.
The perception of a picture or image as a whole rather than as individual components is one of the hallmarks of the gestalt approach.
As a result of the whole and part, one can perceive the entire picture while also identifying the individual parts that comprise it.
The concept of whole and part is a way of explaining how humans perceive visual information, and it is a fundamental aspect of gestalt psychology.
The perception of an image is not only determined by the individual elements that make it up but also by the relationships between them.
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When does an object moving in a straight line at constant speed have a non-zero angular momentum?
a) never
b) always
c) sometimes
Answers
Answer: Yes, it can be possible that an object have non zero angular momentum.
Explanation:
There is a concept of frame of reference.
When your frame of reference is not on that straight line where the object is moving then the object will have non zero angular momentum .
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consider the gate shown in (figure 1). the gate has a width of 1.5 m. rhow = 1.0 mg/m3. suppose that a = 3 m, b = 1 m, c = 1.3 m.
Answers
Given, Width of gate = 1.5m rhow = 1.0 mg/m3 a = 3m, b = 1m, c = 1.3m. We have to find the force required to open the gate, F.To find the force required to open the gate, we use the following formula F = rhow g (a + b/2) c w where w is the width of the gate.w = 1.5mNow, substituting the given values in the above equation, we get F = 1.0 mg/m³ 9.81 m/s² (3 + 1/2) 1.3m 1.5mF = 69.602 NThus, the force required to open the gate is 69.602 N.
About EquationAn equation is a statement in the form of a symbol that states that two things are exactly the same. Equations are written with an equal sign, as follows x + 3 = 5, which states that the value x = 2. 2x + 3 = 5, which states that the value x = 1. The statement above is an equation.
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What is destructive interference?
a) Occurs when the crest of one wave meets the trough of another wave as they travel from two different points in the same direction and at the same frequency.
b) Occurs when the crest of one wave stays separate from another wave and they continue moving in their original direction.
Answer quickly, please!
Answers
Answer:
a
Explanation:
occurs when the crest of one wave meets the trough of another wave as they travel from two different points in the same direction and at the same frequency
imagine a person is sitting on a beach and a speedboat passers-by on the water draw a model of the situation and indicate how's the Doppler effect would influence has the sand waves coming from the boat would be perceived by the person on the Shore
Answers
If you are moving into a wave, its frequency will appear to you to be higher, while if you are traveling in the same direction as the waves, their frequency will appear to be lower.
What is meant by frequency ?
The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification.The unit of frequency is hertz, or one occurrence per second.Frequency is the measure of the number of cycles or periods per second.The hertz is the SI unit for frequency.The number of waves that pass a specific place in a predetermined period of time is known as the wave frequency. The hertz, which measures wave frequency in SI units, is one wave crossing a fixed point in one second.To learn more about frequency refer to
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A mischievous cat sees a flowerpot sitting at rest on a windowsill. If it takes 1.2 s for the flowerpot to fall from the window, how high up was the window?
Answers
Given that,
Initial speed of a cat is 0 because it was at rest.
If it takes 1.2 s for the flowerpot to fall from the window, we need to find the height reached by the cat.
Using second equation of motion to find it as follows :
\(d=ut+\dfrac{1}{2}at^2\)
Put u = 0 and a = g
\(d=\dfrac{1}{2}gt^2\\\\d=\dfrac{1}{2}\times 9.8\times (1.2)^2\\\\d=7.05\ m\)
So, it will move to a height of 7.05 m.
A motorcycle is stopped at a traffic light. When the light turns green the motorcycle accelerates to a speed of 77 km/h over a distance of 50 m.
(a) What was the average acceleration of the motorcycle over this distance?
(b) Assuming the motorcycle maintained a constant acceleration, how far is it from the traffic light after 3.0 s?
Answers
Answer:
good luck
Explanation:
.....................
When compared to winds at the surface, winds at 2,000 feet areA. higher due to absence of frictionB. higher and go at right angles to the isobars due to frictionC. higher because they move from an area of higher pressure to lower pressure
Answers
When compared to winds at the surface, winds at 2,000 feet are typically higher due to the absence of friction.
At the surface, winds are affected by friction with the Earth's surface, which slows them down and causes them to move in a more turbulent and erratic fashion. However, as winds move up in altitude, they encounter less and less friction, allowing them to increase in speed and flow in a more uniform and predictable manner.
While friction may still have some influence on winds at 2,000 feet, it is not as significant as at the surface. Therefore, winds at this altitude tend to move more smoothly and follow a more consistent path, often perpendicular to the isobars (lines of equal pressure) on a weather map. This makes them useful for aviation purposes, as pilots can use this information to plan their flight paths and take advantage of favorable tailwinds or avoid dangerous crosswinds.
In contrast, winds at the surface are more affected by local topography, temperature gradients, and other factors that can cause them to vary widely in direction and speed. Overall, winds at 2,000 feet are an important component of the Earth's atmospheric circulation system, and understanding their behavior is essential for predicting weather patterns and ensuring safe air travel.
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the product of m1m2 in the formula for gravitational force is always
negative, because the product of two positive numbers is negative.
positive, because the product of two positive numbers is positive.
positive, because the product of two negative numbers is positive.
negative, because the product of two negative numbers is negative.
Answers
Answer:
The correct answer is the second option
Explanation:
The formula in question (for gravitational force) is provided below
F = G.m₁.m₂/r²
Where
F = force of gravity
G = gravity constant (6.674 × 10⁻¹¹ m.kg⁻¹.s⁻²)
m₁ and m₂ = are the masses of the objects
r² = distance between the centers of the two objects
From the above, it can be deduced that m₁ and m₂ are masses and hence can only be positive. Positives multiplied together only gives positive, thus the second option is correct.
An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2
If her speed is 280 m/s at this time, find the
radius of the loop.
Answer in units of km.
Answers
For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.
What is centripetal acceleration?The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.
As Centripetal Acceleration formula is;
a = v²/r
Given, V- velocity = 280 m/s
And we know that for weightless object,
Gravity = centripetal acceleration
So, a = g
given, g =9.8 m/s²
So,9.8 = 280²/r
r= 8000 m
Radius of the loop = 8 km
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the advantage of the backward-curved centrifugal fan over the forward-curved centrifugal fan is that:
Answers
Once installed, backward-curved centrifugal fans can significantly reduce your energy expenditures since they have a high static efficiency that is uncommon for other centrifugal fans.
What distinguishes backward and forward curved fans from one another?In comparison to the backward curved impeller, the forward curved impeller is significantly quieter and, because of the increased number of blades, produces a noise spectrum with a much wider bandwidth and, as a result, lesser energy in any region of the spectrum.
A backward-curved centrifugal fan is what?The cylindrical design, numerous sizable curved blades, and conical input nozzle of a backward curved centrifugal fan are its distinguishing features. At high pressure, these centrifugal fans offer excellent cooling.
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Please answer ASAP!!!! Which statement describes the factors that affect the force of a spring?
A. The spring force depends on the spring constant, and increases as displacement
increases
B. The spring force only depends on the spring constant
C. The spring force gets weaker as displacement increases, and is in the same
direction as the displacement
D. The spring force depends on gravity and friction
Answers
Answer:
d
Explanation:
the spring depends on gravity and friction
At a drag race, a jet car travels 1/4 mile in 5.2 seconds. What is the final speed of the
car and its acceleration?
Answers
Answer:
1609.3
Explanation:
Why would poor clusters of galaxies be more likely to have irregular shapes then rich
clusters
Answers
These Milky Way companion galaxies are easily visible from dark locations in the Southern Hemisphere. Prime examples of erratic galaxies are the Large and Small Magellanic clouds (left and right, respectively).
What clusters of galaxies likely to have irregular shapes?In comparison to a rich cluster, the poor cluster typically has a slightly more erratic shape. A number of smaller galaxies orbit each major spiral. The Small and Large Magellanic clouds are the two most well-known examples of atypical galaxies.
When two galaxies collide, irregular galaxies frequently result. This unusual Cartwheel Galaxy was created when a tiny galaxy slid through the centre of a massive spiral galaxy.
Therefore, Rich clusters are other clusters that include hundreds to thousands of galaxies. A weak cluster can't cling to its members strongly because of its low bulk.
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As an air parcel rises, it expands and cools. At a certain height the air parcel is colder than its surrounding environment. The air parcel is:
Answers
If the air parcel has become colder than its surrounding environment, it is said to be unstable.
In this situation, the air parcel will be less dense than its surrounding environment and will continue to rise on its own, leading to convection and vertical air movements. This instability can lead to the formation of clouds and potentially to precipitation.On the other hand, if the air parcel is warmer than its surrounding environment, it is said to be stable. In this case, the air parcel will be more dense than its surrounding environment and will tend to sink back down to its original level, suppressing convection and vertical air movements. Stable conditions are typically associated with clear weather and calm winds.
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