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A ball with a mass of 0.5 kilograms is lifted to a height of 2.0 meters and dropped. It bounces back to a height of 1.8 meters. The energy of the ball has been reduced by joules after bouncing back. This reduction happens because potential energy transforms to energy. Hint: Use PE = m × g × h where g = 9.8 m/s2. NextReset

Respuesta :

The difference in height is 2.0-1.8=0.2m. The gravitational energy lost is 0.5×9.8×0.2=0.98 joules.

Potential energy is the stored energy present in an object due to its position. The energy of the ball after reduction will be 0.98 joules due to the conversion of potential energy into kinetic energy.

What are potential and kinetic energy?

Potential is the stored amount of energy possessed by an object relevant to its height or position, whereas kinetic energy is due to the motion possessed by the object.

According to the conservational energy, the potential energy will be equivalent to the kinetic energy and is calculated as,

Given,

m = 0.5 kilograms

g = 9.8  m/s²

h = 2.0 - 1.8 = 0.2m

ΔPE = -ΔKE

mgh = -ΔKE

0.5 x 9.8 (1.8 - 2) = -ΔKE

-0.98 J = -ΔKE

Therefore, kinetic energy is 0.98 J.

Learn more about kinetic and potential energy here:

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