Work done by friction on an incline plane

In summary, the conversation discusses the work done on a block of mass M being pulled up an inclined plane at a constant speed by an attached rope with a tension T. The block is pulled a distance L and the plane has an angle θ with the horizontal, and a coefficient of kinetic friction μk. The first question asks for the work done by the rope, while the second question verifies that the total work done on the block is equal to the change in kinetic energy. The conversation then considers the scenario where the rope is attached to the downward side of the block and is pulled down the plane, a distance L, with the same tension T and at a constant speed. The first question is repeated and the second question verifies that the non
  • #1
GoSS190
20
0
A block of mass M is being pulled up an inclined plane at a constant speed, by an attached rope that exerts a tension T. The block is pulled a distance L. The plane makes an angle θ with the horizontal, and the coefficient of kinetic friction between the block and the incline is μk.
a.) What is the work done by the rope?

b.) Find the total work done on the block, Wtot = Wcons + Wnoncons. Verify that Wtot = ΔKE.

Suppose that the rope is attached to the downward side of the block, and it is pulled down the plane, a distance L. The tension in the rope again has magnitude T. Assume once again that the sled is pulled at a constant speed.
a.) What is the work done by the rope?

b.)Verify that Wnon-cons = ΔPE + ΔKE by first calculating the change in kinetic energy.
I know work is equal to Force times the distance the object moved and that frictional force is equal to mgcos(theta)
 
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  • #2
Start by drawing a force diagram.

What forces is the rope working against? Over what distance.
 
  • #3
The tension force in the rope is working against the force of gravity as well as the force of friction on the block
 
  • #4
So maybe if you reduce this to an equation ...?
 

What is work done by friction on an incline plane?

Work done by friction on an incline plane refers to the amount of energy that is lost due to the frictional forces acting on an object as it moves up or down an inclined plane.

How is work done by friction on an incline plane calculated?

The work done by friction on an incline plane can be calculated using the formula W = Ff x d, where W is the work done, Ff is the frictional force, and d is the distance the object moves along the incline plane.

What factors affect the work done by friction on an incline plane?

The amount of work done by friction on an incline plane is affected by the coefficient of friction between the object and the surface of the incline plane, as well as the angle of the incline.

Is the work done by friction on an incline plane always negative?

No, the work done by friction on an incline plane can be positive or negative depending on the direction of the object's motion. If the object is moving up the incline, the work done by friction is positive. If the object is moving down the incline, the work done by friction is negative.

Can the work done by friction on an incline plane be reduced?

Yes, the work done by friction on an incline plane can be reduced by using a lubricant or by reducing the angle of the incline. This will decrease the amount of frictional force acting on the object, resulting in less work being done by friction.

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