Question

if a body is raised through the height H on the surface of the Earth and the energy spent it then the same amount of energy body on the surface of the moon will rise to the height of

Answer 1

Potential energy E= mgh

H=E/mg

Potential energy on moon E= mgH'/6 (H' is height raised on moon)

H'=E×6/mg

(as H=E/mg)

•°•H'=6H

Answer 2

Given:

Energy E is spent to take a body to a height h on Earth surface.

To find:

Height attained on moon if same energy is utilised?

Calculation:

• First of all, please remember that the gravitational acceleration on moon is ⅙ the gravitational acceleration of earth.

Now, the energy used to raise object is equal to the potential energy of the object :

$\therefore \: E = m \times g \times h$

• Now, let the height attained on moon be H:

$\therefore \: E = m \times g_{moon} \times H$

$\implies \: E = m \times \dfrac{g}{6} \times H$

$\implies \: 6E = m \times g \times H$

$\implies \: H = \dfrac{6E}{mg}$

$\implies \: H = 6h$

So, height attained on moon is 6h (option B)