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3 years ago

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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?

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

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:

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

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

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'

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

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