Question

Calculate the weight of an astronaut of mass 66 kg on the surface of the Earth and on the surface of the

moon. The acceleration due to gravity on the surface of the moon is 16th times the acceleration due to gravity at the surface of the Earth.​

Answer 1

Weight of astronaut on earth is 646.8 N and on moon is 107.58 N.

Given:

• Mass of astronaut = 66 kg.
• gravity on moon = ⅙ gravity on earth

To find:

• Weight of astronaut on earth and moon?

Calculation:

As per our knowledge, the gravitational acceleration on the surface of the earth = 9.8 m/s². So, the gravitational acceleration on the surface of moon will be :

$g_{moon} = \dfrac{1}{6} \times 9.8 = 1.63 \: m {s}^{ - 2}$

Now, weight on earth :

$W_{earth} = 66 \times 9.8 = 646.8 \:N$

Again, weight on moon :

$W_{moon} = 66 \times 1.63 = 107.58 \:N$

Hope It Helps.