A 25-g ball is released from rest 80 m above the surface of the Earth. Just before it hits the surface its speed is 20 m/s. What is the change in energy of the ball during its fall?

Respuesta :

Answer:

The change in energy of the ball during its fall is 14.6 Joules.

Explanation:

Given that,

Mass of the ball, m = 25 g

It is released from rest 80 meters above the surface of the Earth, h = 80 m

Just before it hits the surface its speed is 20 m/s, v = 20 m/s

We need to find the change in energy of the ball during its fall. The potential energy gets converted to its kinetic energy. The change in energy is given by :

[tex]\Delta E=mgh-\dfrac{1}{2}mv^2\\\\\Delta E=25\times 10^{-3}\times 9.8\times 80-\dfrac{1}{2}\times 25\times 10^{-3}\times (20)^2\\\\\Delta E=14.6\ J[/tex]

So, the change in energy of the ball during its fall is 14.6 Joules.

Answer:

14.6 joule

Explanation:

mass of ball, m  = 25 g = 0.025 kg

height, h = 80 m

speed at the time as the ball hits the ground, v = 20 m/s

Potential energy at the top, U = m g h

U = 0.025 x 9.8 x 80 = 19.6 Joule

Kinetic energy at the bottom, K = 0.5 x mv²

K = 0.5 x 0.025 x 20 x 20 = 5 Joule

Change in energy

E = Potential energy - Kinetic energy

E = 19.6 - 5 = 14.6 Joule