Question

Select the correct answer.

The value of gravitational acceleration of a body on Earth is 9.8 meters/second. The gravitational potential energy for a 1.00 kilogram object is
found to be 12.5 joules. How high is this object above the ground level, where PE = 0?
A.
1.3 meters
B.
3.5 meters
C. 2.0 meters
D. 5.6 meters
E.
7.9 meters
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Answer 1

A. 1.3 meters

Step-by-step explanation:

• Gravitational potential energy is a form of energy possessed by a body at rest on the earth's surface.
• It is given by the formula, mgh, where m is the mass, h is the height and g is the gravitational acceleration.

In this case we are given;

Gravitational acceleration, g = 9.8 m/s²

Mass of the object, m = 1.0 kg

Gravitational potential energy = 12.5 Joules

We are required to calculate the height, h above the ground .

Therefore;

Replacing the known variable in the formula;

12.5 joules = 1.0 kg × 9.8 m/s² × h

h = 12.5 J ÷ 9.8 m/s²

= 1.276 m

= 1.3 meters

Thus, the height of the object above the ground is 1.3 meters.