Question

A weiere start from rest at the top of sky slop and down hill find the skier sheed after her elegation 10 m assuming no work is done by friction of air residence​

Answer 1

Answer:

According to question, the situation is shown in the figure.

For a sufficiently safe-horizontal displacement ΔS can be considered straight. If the corresponding length of path element is ΔL, the friction force is given by μ

mg

ΔL

ΔS

and the work done by the friction force equals force times displacement.

μ

mg

ΔL

ΔS

ΔL=μ

mg

ΔS

Adding up, we find that along the whole path the total work done by the friction force is μ

mg

S. By energy conservation this must equals the decrease mgh is potential energy of skier.

Hence, h=μS.