Question

A 36.0kg child slides down Aplay ground slide that is 2.5m high at the bottom of the slide she is moving at 3.0m/s Calculate

The GPE Of the child at the top of the side
The KE OF THE CHILD AT the bottom of side
And How much energy was lost as she slid down the slide

Answer 1

GPE = 900 JOULES

Kinetic energy = 162 JOULES

Energy lost = 738 JOULES

Step-by-step explanation:

Given: variables

mass = 36kg

height = 2.5m

velocity = 3.0 m/s

gravity = 10 m/s

GPE: To calculate gravitational potential energy we need to know its formula:

GPE = mgh

m= mass

g= gravitational field

h= height

GPE = (36)(10)(2.5)

GPE = 900 JOULES

Kinetic energy: To calculate kinetic energy we must know its formula

KE = 1/2mv*2

KE = (1/2)(36)(3)*2

KE = 162 JOULES

Energy Lost: Lost energy can be calculated by subtracting the GPE initial from the KE final

Energy lost = GPE-KE

Energy lost = 900-162

Energy lost = 783 JOULES