At what height would the gravitational potential energy have a value of 73.7 joules for a 15 kilogram object? note that acceleration due to gravity is 9.8 meters/second2.. a. 0.5 meters. b. 1.2 meters. c. 2.0 meters. d. 3.1 meters. e. 3.4 meters

Option A is correct

0.5 m

Step-by-step explanation:

Potential energy(P.E.) is given by:

               ....[1]

where,

m is the mass

g is the acceleration due to gravity

h is the height.

As per the statement:

Potential energy have a value of 73.7 joules for a 15 kilogram object.

⇒ and m = 15 kg

Use: g = 9.8 m/s^2

Substitute these in [1] we have;

⇒

Divide both sides by 147 we get;

⇒ m

Therefore,  height would the gravitational potential energy have a value of 73.7 joules for a 15 kilogram object is, 0.5 m