How to find acceleration. With only Force of friction?

In summary: No, no and no. First, constant velocity means no acceleration. Acceleration is the change in velocity with respect to time. Please review the equations of motion, which relate position, velocity and acceleration.
  • #1
7randomapples
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How to find acceleration. With only Force of friction??

Homework Statement


While traveling down between floors at a constant speed, a passenger has a weight of 800 N. During the acceleration to stop the elevator, the passenger experiences an apparent weight of 1000 N. Calculate the acceleration of the elevator.

I am confussed because there is two forces of friction. There is no time or velocity. But the velocity is constant.


Homework Equations


I don't have an equation to find acceleration with only Force of friction.


The Attempt at a Solution


Gravity? 9.8 m/s ^ 2 ?
 
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  • #2


7randomapples said:

Homework Statement


While traveling down between floors at a constant speed, a passenger has a weight of 800 N. During the acceleration to stop the elevator, the passenger experiences an apparent weight of 1000 N. Calculate the acceleration of the elevator.

I am confussed because there is two forces of friction. There is no time or velocity. But the velocity is constant.


Homework Equations


I don't have an equation to find acceleration with only Force of friction.


The Attempt at a Solution


Gravity? 9.8 m/s ^ 2 ?

There is no relevant force of friction in this problem. Weight is weight -- in this problem, all you have is an accleration, causing an increase in weight.

In the first part, the velocity is constant, so his acceleration is __________.

So from the first part, can you calculate the mass of the person?

In the second part, he is being slowed by an acceleration (or deceleration if you like). That acceleration causes a change in weight, or an apparent change in mass. Use F=ma from here...
 
  • #3


In the first part, the velocity is constant, so his acceleration is -9.8 m/s ^ 2?

So from the first part, can you calculate the mass of the person? F=ma
m=F/a
m=800 N / -9.81 m/s ^ 2
m= 81.55 m/s ^ 2

In the second part, he is being slowed by an acceleration (or deceleration if you like). That acceleration causes a change in weight, or an apparent change in mass. Use F=ma from here...
Wouldn't this be the same but with 1000 N?
m=F/a
m=1000 N / -9.81 m/s ^ 2
m= 101.94 m/s ^ 2 ??

That does not seem to make sense.
 
  • #4


7randomapples said:
In the first part, the velocity is constant, so his acceleration is -9.8 m/s ^ 2?

So from the first part, can you calculate the mass of the person? F=ma
m=F/a
m=800 N / -9.81 m/s ^ 2
m= 81.55 m/s ^ 2

In the second part, he is being slowed by an acceleration (or deceleration if you like). That acceleration causes a change in weight, or an apparent change in mass. Use F=ma from here...
Wouldn't this be the same but with 1000 N?
m=F/a
m=1000 N / -9.81 m/s ^ 2
m= 101.94 m/s ^ 2 ??

That does not seem to make sense.

No, no and no. First, constant velocity means no acceleration. Acceleration is the change in velocity with respect to time. Please review the equations of motion, which relate position, velocity and acceleration.

In your equations:
m=F/a
m=800 N / -9.81 m/s ^ 2
m= 81.55 m/s ^ 2

Mass has units of kg. A Newton is a kg*m/s^2. Please review your use of units.

For the 3rd part, you are asked to find the acceleration, not mess with the mass. You have the mass, and you have the force... How can you find the acceleration from that?
 

FAQ: How to find acceleration. With only Force of friction?

1. What is the formula for finding acceleration with only the force of friction?

The formula for finding acceleration with only the force of friction is a = Ff/m, where a is acceleration, Ff is the force of friction, and m is the mass of the object.

2. What units are used to measure the force of friction?

The force of friction is typically measured in units of Newtons (N).

3. How can I determine the mass of an object if I only know the force of friction and acceleration?

If you know the force of friction and acceleration, you can use the formula m = Ff/a to determine the mass of the object. Rearranging the formula, we get m = Ff/a.

4. Can the force of friction ever be greater than the applied force?

Yes, the force of friction can be greater than the applied force. This is known as static friction, which occurs when two surfaces are in contact but not moving relative to each other. The force of static friction will match the applied force until it reaches its maximum value, at which point the object will begin to move.

5. How does the coefficient of friction affect the acceleration of an object?

The coefficient of friction, which is a measure of the roughness of the surfaces in contact, affects the acceleration of an object by determining the magnitude of the force of friction. The higher the coefficient of friction, the greater the force of friction and thus the slower the acceleration of the object. On the other hand, a lower coefficient of friction will result in a smaller force of friction and faster acceleration.

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