Question

At the surface of Mars the acceleration due to gravity is 3.8m/s . A book weighs 34 N at the surface of the earth. What is it’s mass on the earth’s surface? What are it’s mass and weight on mar’s surface?

Answer 1

Answer:

On the surface of Mars:

Mass, m = 3.47 kg

Weight, W' = 13.186 N

Solution:

As per the question:

Acceleration due to gravity at the surface of Mars, g' = $3.8\ m/s^{2}$

Weight of book on the Earth's surface, W = 34 N

Now,

We know that:

Weight, W = mg

where

m = mass of the body

a = acceleration due to gravity on the earth's surface = $9.8\ m/s^{2}$

Thus the mass of the body on the surface of the earth, m:

$m = \frac{W}{g} = \frac{34}{9.8} = 3.47\ kg$

Also, we know that mass is constant and it is the weight of the body that varies with the acceleration due to gravity.

Now,

Mass of the body on the surface of Mars will be same and is equal to m = 3.47 kg

Weight of the book on the surface of Mars, W' = mg'

$W' = 3.47\times 3.8 = 13.186\ N$