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

Answer:

F ’= 40.9 lb

Explanation:

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

          F = $G \frac{m M_e}{R_e^2}$

          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 ’= $G \frac{mM}{R^2}$

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

Answer:

$W_m=183.495N$

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

 $W_m=m*g/6$

 $W_m=122.344*\frac{9.8}{6}$

 $W_m=183.495N$