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27 Oct 2021
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:
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