Answer to Question #265255 in Mechanics | Relativity for marie

Question

A skier, starting from rest, skis down a slope from a height of 300 m to the horizontal ground level.

a) Show that the speed with which the skier reaches the ground level does

not depend on either the mass of the skier or the angle of incline of the slope. State any assumptions made.

b) Calculate the speed with which the skier reaches the ground level. 

Answer 1

a)

by energy conservation law:

$mgh=\frac{mv^2}{2}$

the speed with which the skier reaches the ground level:

$v=\sqrt{2gh}$

where h is height

b)

$v=\sqrt{2\cdot9.8\cdot 300}=76.7$ m/s