Question

An object of mass 12 kg is at a certain height above the ground. If the potential energy of the object is 480 J. Find the height at which the object is with respect to the ground. (Given gravity = 16 m/s)

Answer 1

Answer:

Height at which the object is with respect to the ground is 4m

Explanation:

m=12kg

PE=480J

g=10m/s-²

h=?

PE=mgh

h=PE/mg=480/[12×10]

=4m

Therefore, h=4m

Answer 2

Given,

Mass of an object = 12 kg

The potential energy of the object = 480 J

Gravity = 16 m/sec^2

To find,

The height at which the object is with respect to the ground.

Solution,

We can simply solve this numerical problem by using the following process:

Let us assume that the height of the object is h meters.

The potential energy of an object at height h and mass m, with gravity g acting on it, is represented as:

Potential energy (PE) = mass x height x gravity

=> PE = mgh

=> 480 J = 12 kg x 16 m/sec^2 x h meters

=> h = 2.5 meters = 2.5 m

Hence, the object is at a height of 2.5 meters.