Question

An astronaut weighing 248 lbs on Earth is on a mission to the Moon and Mars. (a) What would he weigh in newtons when he is on the Moon

Answer 1

F ’= 40.9 lb

Step-by-step explanation:

The weight of a body is the attraction of the Earth on the body

F =
`G (m M_e)/(R_e^2)`

F = mg

m = F / g

m = 248/32

m = 7.75 slug

The weight of the body on the moon is the attraction of the body for the satellite

F ’=
`G (mM)/(R^2)`

from the tables the mass and radius of the moon are M = 7.34 10²² kg and R = 1.74 10⁶ m

let's reduce the mass to the SI system

m = 7.75 slug (14.59 kg / 1 slug) = 113 kg

F ’= 6.67 10⁻¹¹ 113 7.34 10²² / (1.74 10⁶) ²

F ’= 1.82 10² N

F ’= 1.82 10² N (0.2248 lb / 1 N)

F ’= 40.9 lb

Answer 2

`W_m=183.495N`

Step-by-step explanation:

From the question we are told that:

Weight
`W=248Ibs`

Mass of Weight
`m= 248*0.453`

`m=112.344kg`

Generally the acceleration due to gravity on the Moon is one-sixth that on Earth.

Therefore

The equation for Weight on Moon is given as

`W_m=m*g/6`

`W_m=122.344*(9.8)/(6)`

`W_m=183.495N`