How does using a ramp make work easier when loading a piano onto a truck three feet above the ground? a. it allows a larger force to be applied over a shorter distance. b. it allows a larger force to be applied over a longer distance. c. it allows a smaller force to be applied over a shorter distance. d. it allows a smaller force to be applied over a longer distance.

D) True. The value of the work is constant and the force is less, therefore it is easier to raise the piano

Explanation:

In this exercise the work to raise the piano is given by

          W = F d cos θ

The distance and the displacement have an angle of zero degrees

          W = F d

If we use energy conservation

          W = ΔEm

         W = - Em₀

Suppose the piano starts from rest and reaches the top also at rest

         W = mh y₂ - mg y₁

        W = mg h

        h= 3 ft

We see that the work to raise the body is always the same, regardless of the path, so, in the work relationship or is the product of force for distance if one goes up the other must decrease so that the product is the same.

Let's examine the answers

A) False. The distance on a ramp is greater

B) False. Change the value of work

C) False. Change the value of work

D) True. The value of the work is constant and the force is less, therefore it is easier to raise the piano

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