Question

An 80kg sled rider starts sledding down a 100m hill from rest. If her final velocity is 15m/s, what is he acceleration down the hill? What is the force needed for that kind of acceleration

Answer 1

Given :

An 80kg sled rider starts sledding down a 100m hill from rest. If her final velocity is 15m/s.

To Find :

The acceleration down the hill.

The force needed for that kind of acceleration.

Solution :

By equation of motion :

$v^2 -u^2 = 2as\\\\a = \dfrac{v^2-u^2}{2s}\\\\a = \dfrac{15^2 -0^2}{2\times 100}\\\\a = 1.125\ m/s^2$

Force required is, F = ma

F = 80×1.125 N

F = 90 N

Hence, this is the required solution.