Question

On the Moon, Jim had a weight of 27.5 lbf (27.5 pounds-force).

The force of gravity on the Moon is one sixth of that on Earth. How much did Jim weigh on Earth?

A

4.583 lbf

B 27.5 lbf

C

137.5 lbf

D

165 lbf

Answer 1

Jim had a weigh 165 lbf on Earth.

Explanation:

Weight:

The product of mass and acceleration due to gravity.

weight= mass× g

Mass: The amount of material in an object is known as mass of the object.

Mass does not depends on g. Mass of an object remains same.

Given that,

Jim had a weight of 27.5 lbf on the moon.

So,

`mg_m=27 \ lbf` .......(1)

m = mass of Jim

`g_m`= acceleration due to gravity on the moon.

Again,

The value of force of gravity on the Moon is one sixth of that on Earth.

`g_m=\frac16 g`

g = force of gravity on Earth.

Now plug
`g_m=\frac16 g` in equation (1)

`m*\frac16 g =27 \ lbf`

`\Rightarrow mg=(27* 6) \ lbf`

⇒mg = 165 lbf

Jim had a weigh 165 lbf on Earth.