Answer:
The maximum height the ball will reach after hitting the ground four times = 5.84 m
Explanation:
Kinetic Energy: This is the energy of a body, by virtue of its motion. The S.I unit of kinetic Energy is Joules(J).
At the point when the ball hits the ground, the kinetic energy is converted to potential energy.
Ep = mgh .......................... Equation 1
Where E p = potential Energy, m = mass of the ball, g = acceleration due to gravity, h = height.
Given: m = 0.25 kg, h = 10 m,
Constant: g = 9.81 m/s²
Substituting into equation 1,
Ep = 0.25(10)(9.81)
Ep = 24.525 J.
Each time the ball hits the ground, 10 percent of the ball's kinetic energy is lost in the collision.
The ball will lost 40 percent of its energy after hitting the ground four times.
Energy lost after hitting the ground four times = 24.525(0.4) = 10.21 J.
Ep₁ = 24.525 - 10.21
Ep₁ = 14.315 J.
Where Ep₁ = Energy of the ball after hitting the ground four times.
But
h = Ep₁/mg ............................. Equation 2
h = 14.315/(0.25×9.81)
h = 14.315/2.4525
h = 5.84 m.
Thus the maximum height the ball will reach after hitting the ground four times = 5.84 m
