Question

A 55 kg skier is at the top of a slope. The vertical distance between start and finish is 10m. (a) What is her Potential Energy? (b) How fast is she moving at the bottom of the hill?

Answer 1

Step-by-step explanation:

Given that,

Mass of a skier, m = 55 kg

The vertical distance between start and finish is 10 m.

(a) The potential energy of a skier is given by :

`E=mgh\\\\E=55* 9.8* 10\\\\=5390\ J`

(b) When she reaches the bottom of the hill, the potential energy is converted to kinetic energy. So,

`5390=(1)/(2)mv^2\\\\v=\sqrt{(2* 5390)/(55)} \\\\v=14\ m/s`

Hence, her potential energy is 5390 J and at the bottom of the hill she is moving with a speed of 14 m/s.