Question

An object on top of a building has a GPE of 23,048 J and a mass of 39 kg, what is the height of the object

Answer 1

Your answer will be 85.9803

Answer 2

Given:

An object on top of a building has a GPE (Gravitational Potential Energy) of 23,048 Joules and a mass of 39 kg.

To find:

Height of the object above the earth surface.

Calculation:

Gravitational Potential Energy is a type of mechanical energy possessed by a body by the virtue of its height above the Earth surface.

• Mathematically , it can be calculated as the product of mass of the object, gravitational acceleration and the height.

$\rm{\therefore \: GPE = m \times g \times h}$

$\rm{ = > \: 23048 = 39 \times 9.8 \times h}$

$\rm{ = > \: h = \dfrac{23048}{39 \times 9.8} }$

$\rm{ = > \: h = \dfrac{23048}{382.2} }$

$\rm{ = > \: h = 60.3 \: m }$

So, height at which the object is present is 60.3 metres.