How Is Work Calculated in a Friction Scenario with Constant Velocity?

In summary, the total work done on the refrigerator as it is pushed across the floor is equal to the force applied multiplied by the distance traveled. The work done by friction is equal to the force applied, as the velocity is constant. The mass of the refrigerator is not needed to calculate the work done in this scenario.
  • #1
nbroyle1
43
0
You are pushing a refrigerator across the floor of your kitchen. You exert a horizontal force of
291N for 7.5s, during which time the refrigerator moves a distance of 2.7m at constant velocity.

(a) What is the total work (by all forces) done on the refrigerator?

(b) What is the work done by friction?

How can I calculate the work done by friction if a mass isn't provided and there is no acceleration obviously since there is a constant velocity?
 
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  • #2
welcome to pf!

hi nbroyle1! welcome to pf! :smile:
nbroyle1 said:
How can I calculate the work done by friction if a mass isn't provided and there is no acceleration obviously since there is a constant velocity?

that's right, the acceleration is zero and the velocity is constant …

so use the work energy theorem :wink:
 
  • #3
Thanks, but don't I need the mass for the work energy theorem also?

Net work=1/2mv(final)^2-1/2mv(initial)^2
 
  • #4
Is the friction force equal to the force applied since it is a constant velocity? or would that just meant that the object isn't moving at all?
 
  • #5
(try using the X2 button just above the Reply box :wink:)

in this case, 1/2mv(final)2-1/2mv(initial)2 = … ? :smile:
 
  • #6
doesnt it just equal zero since the velocity is the same?
 
  • #7
nbroyle1 said:
Is the friction force equal to the force applied since it is a constant velocity?

yes :smile:

(lots of exam questions are exactly like this)
 
  • #8
Ok awesome thanks!
 

Related to How Is Work Calculated in a Friction Scenario with Constant Velocity?

1. What is work done at constant velocity?

Work done at constant velocity is when an object is moving in a straight line with a constant speed and there is a force applied in the same direction as the motion. In this case, the work done is equal to the product of the force applied and the distance traveled by the object.

2. How is work calculated at constant velocity?

The work done at constant velocity is calculated using the formula W = Fd, where W is the work done, F is the force applied, and d is the distance traveled by the object.

3. Does the direction of the force affect the work done at constant velocity?

No, the direction of the force does not affect the work done at constant velocity, as long as the force and the motion of the object are in the same direction. This is because the work done is only dependent on the magnitude of the force and the distance traveled by the object, not the direction of the force.

4. What is the unit of work done at constant velocity?

The unit of work done at constant velocity is joule (J) in the International System of Units (SI). It can also be expressed in other units such as erg and foot-pound in the centimeter-gram-second (CGS) system and the British Engineering System (FPS) respectively.

5. Can work be negative at constant velocity?

Yes, work can be negative at constant velocity if the force applied is in the opposite direction of the motion of the object. This means that the object is losing energy as it moves, and work is being done against the motion of the object. This can happen, for example, when a person is pushing a box up a ramp, the force they apply is in the opposite direction of the motion of the box, thus resulting in negative work.

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