Question

A Gravitational Potential Energy (GPE) Sensor attached to a 12 Kg ball changes from 12 J to 22 J, by height change alone. What is the change in height?

Answer 1

The change in height is 0.085 m.

Step-by-step explanation:

Given that,

Gravitational potential energy (GPE) = 10J (changes from 12J to 22J = (22J - 12J) = 10 J

Mass = 12 kg

The equation for “gravitational potential energy” is GPE = m × g × h, where “m” is the "mass" in "kilograms", “g” is the "acceleration due to gravity" (9.8 m\s2 on Earth), and “h” is the "height above the ground" in "meters".

"Gravitational potential energy" = 10J

"Gravitational potential energy" = m × g × h

Substitute the given values in the above formula,

10J = 12kg × 9.8 × h

`\mathrm{h}=\frac{10 \mathrm{J}}{12 * 9.8}`

`\mathrm{h}=\frac{10 \mathrm{J}}{117.6}`

h = 0.085 m

Therefore, the change in height is 0.085 m .