Question

explain why one can jump higher at the surface of the moon than on the surface of the earth.

Answer 1

One can jump higher at the surface of the Moon than on the surface of the Earth as the gravitational pull is more on Earth than the gravitational pull on the Moon.

HOPE THIS HELPS!

Answer 2

A person can jump to a greater height on the surface of the moon as compared to that of the earth because :

• Gravitational acceleration on the surface of the moon is ⅙ times the gravitational acceleration on the surface of the earth.

• So, value of g_(moon) = 1/6 × 9.8 = 1.63 m/s².

As a result of this smaller value of gravitational pull on the moon surface, any object will achieve higher height on moon as compared to that of earth (provided initial velocity is same).

${v}^{2} = {u}^{2} + 2as$

$\implies \: {0}^{2} = {u}^{2} + 2( - g)h$

$\implies \: 2gh = {u}^{2}$

$\implies \: h = \dfrac{ {u}^{2}}{2g}$

$\implies \: h \propto \dfrac{1}{g}$

So, less value of g will correspond to higher height attained.

$\star$ Hope It Helps