Question

A ball is thrown upward. At a height of 10 meters above the ground, the ball has a potential energy of 50 Joules (with the potential energy equal to zero at ground level) and is moving upward with a kinetic energy of 50 Joules. What is the maximum height h reached by the ball?

Answer 1

Answer:

The maximum height reached by the ball is 20 meters

Explanation:

Given that,

Height, h = 10 m

Potential energy at the height of 10 m, $h_1=50\ J$

The ball is moving upward with a kinetic energy of 50 Joules

Let h is the maximum height reached by the ball. At a height of 10 meters above the ground, the energy is given by :

$mgh=50$

$mg\times 10=50$

mg = 5 N

At this point, total energy will be 100 J. We know that the velocity is zero at maximum height. So, the ball possess only potential energy. it is given by :

$100=mgh$

$100=5\times h$

h = 20 meters

So, the maximum height reached by the ball is 20 meters. Hence, this is the required solution.