Question

Two skiers start at the same place at the top of the hill, and finish at the same place at the bottom. Skier A takes a straight, smooth route to the finish whereas Skier B takes a curvy, bumpy route to the finish. If you assume that friction is negligible, which of the following statements is true? A) Skier A has the same speed as Skier B at the finish. B) Skier B has the greater speed at the finish C) Skier A has the greater speed at the finish.

Answer 1

Answer:A

Explanation:

Given

Skier A takes straight, smooth route while Skier B takes curvy, bumpy route to finish.

We know gravity is conservative in nature i.e. work done against it is independent of path followed

So work done by gravity for A and B is same

According to Work energy Theorem Change in the kinetic Energy is equal to work done by all the forces.

$W_g=\frac{1}{2}mv^2$

$W_g=mgh$

where h=vertical height of hill

thus $v=\sqrt{2gh}$

which is same for both A and B