Question

Problem 10a

Answer 1

Given information

It is given that the height of  hill is .

A child  of mass  slides starting from rest at the top to the bottom of hill hence initial velocity   .

There is no friction 

speed of child at the bottom of hill in absence of friction depends on the angle of hill.

Step-by-step explanation

Step 1.

 Velocity with which the child reaches bottom of hill is determined using the Principle of Conservation of Energy -'' Total mechanical energy , sum of kinetic energy  and potential energy remains constant  in absence of all kinds of frictional forces

  Mathematically: