Question

If an astronaut has a weight of 450 N on the earth, what would be her weight on the moon? A. 101 Ib В. 46 N C. 77 N D. 7.8 N

Answer 1

Step-by-step explanation:

Given that,

Weight of the astronaut on the surface of Earth, W = 450 N

We know that the acceleration due to gravity on the earth is,
`g=9.8\ m/s^2`

Weight of an object is given by, W = mg

`m=(W)/(g)`

`m=(450\ N)/(9.8\ m/s^2)`

m = 45.91 kg

Also, the acceleration due to gravity on the surface of moon is one -sixth of the acceleration due to gravity on the surface of Earth,
`g'=1.62\ m/s^2`

As mass remains constant. So, the weight on the moon is :

W' = mg'

`W'=45.91* 1.62`

W' = 74.37 N

Hence, this is the required solution.