Question

A ball is allowed to fall from a height of 10m if there is 40% loss of energy due to impact then after one impact ball will go up by A 10m B 8m C 4m D 6m

Answer 1

let the mass of the ball be "m"

h₁ = initial height before bounce for the ball = 10 m

initial potential energy before bounce is given as

PE₁ = mg h₁

h₂ = final height after bounce for the ball = ?

final potential energy after bounce is given as

PE₂ = mg h₂

Using conservation of energy

PE₂ = 60% of PE₁ (Since remaining 40% energy is lost)

mg h₂ = 0.60 mg h₁

h₂ = (0.60) (10)

h₂ = 6 m

Answer 2

The potential energy of gravity is directly affected by the height. When the ball is dropped from a 10m height, it loses 40% energy thus affecting the same percentage of height when it bounces back.

So. 40 %loss in height

i.e 60% of 10m

=6m

Thanks don't forget for a like