Question

A 60.0 kg person weighs 100.0 N on the Moon. What is the acceleration of gravity on the Moon?

Answer 1

The acceleration of gravity on the Moon is 1.67 m/s².

Step-by-step explanation:

The weight of an object is determined by the acceleration due to gravity. On Earth, a 60.0 kg person weighs 588 N (60.0 kg × 9.8 m/s²). However, on the Moon, the person weighs 100.0 N. To find the acceleration of gravity on the Moon, we can rearrange the weight formula:

weight = mass × acceleration due to gravity

Using this formula, we can solve for the acceleration due to gravity on the Moon:

acceleration due to gravity = weight / mass = 100.0 N / 60.0 kg = 1.67 m/s²

Answer 2

`g=1.66\ m/s^2`

Step-by-step explanation:

It is given that,

Mass of the person, m = 60 kg

Weight of the person on Moon, W = 100 N

The weight of an object is equal to the product of its mass and acceleration due to gravity. It is given by :

W = m g

g is the acceleration due to gravity on the moon

`g=(W)/(m)`

`g=(100\ N)/(60\ kg)`

`g=1.66\ m/s^2`

So, the acceleration due to gravity on the Moon is
`1.66\ m/s^2`. Hence, this is the required solution.