Question

A girl weight 750N on the earth.
1) on the planet Mars,the force of gravity is 38% of that of the earth.how much will the girl weight on the Mars? useg=9.8m/s2
2) what will be the girls mass on the earth?​

Answer 1

Answer:

A girl weight 750N on the earth.

1) on the planet Mars, the force of gravity is 38% of that of the earth. Weight of the girl on Mars $283.16N$

2) the girl's mass on the earth is $76.5kg$

Explanation:

• The weight of a body is the force on that body due to gravitational force due to its mass whereas mass is the amount of matter in that body

• If the mass of a body is $m$ and acceleration due to gravity is $g$ then the weight of that body is

        $W=mg$

• weight of the body changes with acceleration due to the gravity of the location, but the mass remains the same where ever it is located

From the question, we have

the weight of the girl on earth $W_{E} =750N$

acceleration due to gravity on earth $g_{E} =9.8m/s^{2}$

⇒ mass of that girl $m=W_{E}/g_{E}$

$m=750/9.8=76.5kg$

acceleration due to gravity on Mars is $38%$% of that in earth

⇒ $g_{M}=9.8*38/100=3.7m/s^{2}$

the weight of girl on Mars

$W_{M}=mg_{E}$

        $=76.5*3.7=283.16N$