KnowledgeBoat Logo
|

Physics

A body has a mass of 100 kg on earth. What will be its mass on moon, considering gravity of moon is 1/6th of earth ? What will be its weight on earth and moon ?

Motion in One Dimension

3 Likes

Answer

Given,

  • Mass of the body on earth = 100 kg
  • Gravity on moon = 1/6th times the gravity of earth

Since the mass of a body does not change with location, so its mass on the Moon will remain 100 kg.

However, weight depends on gravitational pull.

So, on Earth, the weight of the body is given by,

Weight = m x g

  • g = 9.8 N kg-1 on earth

Then

Weight = 100 × 9.8 = 980 N

Since the Moon’s gravity is 1/6th of Earth’s, the weight on the Moon is given by,

Weight on moon=16×Weight on earth=16×980=163.33 N163 N\text {Weight on moon} = \dfrac{1}{6} \times \text {Weight on earth} \\[1em] = \dfrac{1}{6} \times 980 \\[1em] = 163.33\ \text N\\[1em] \approx 163\ \text N

Thus, the mass remains the same on both Earth and Moon, but the weight decreases on the Moon due to weaker gravity.

Hence, weight of the body on earth is 980 N and on moon it is approximately 163 N.

Answered By

1 Like


Related Questions