Question

find the mass of a ball on a roof 30 meters high, if the ball's gravitational potential energy is 58.8 joules

Answer 1

0.2 kg

Step-by-step explanation:

Height of roof from the ground=h=30 m

Gravitational potential energy=P.E=58.8 J

We have to find the mass of the ball.

We know that

Gravitational potential energy of ball= mgh

Where g=
`9.8 m/s^2`

Substitute the values

`58.8=m* 9.8* 30`

`58.8=294 m`

`m=(58.8)/(294)`

Using division property of equality

`m=0.2 kg`

Hence, the mass of ball=0.2 kg

Answer 2

we are given the gravitational potential energy and the height of the ball and is asked in the problem to determine the mass of the ball. the formula to be followed is PE = mgh where g is the gravitational acceleration equal to 9.81 m/s^2. substituting, 58.8 J = m*9.8 m/s^2 * 30 m; m = 0.2 kg.