Question

what is the answer of this question
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Answer 1

Answer:

1/9th of mass of body on earth that is

1/9×4.5

=0.5 kg

Answer 2

Explanation:

Gravity on a planet is calculated by the formula,

g = GM / r²

where G is the gravitational constant, M is the mass of planet and r is the distance of separation between the surface and the centre of planet.

Let the mass of earth be M and let it's radius be r.

So gravity of earth,

g(earth) = GM/r² [Equation 1]

Given, another planet has

mass = 1/9th of earth = M/9

it's radius = half of earth = 1/2r

So gravity of the planet,

g = G×M /9 / (1r/2)²

g = G×M /9 / (1r²/4)

g = G×M /9 × 4/r²

g = 4/9 × GM/r²

g = 4/9 × g(earth) [From equation 1]

Therefore, gravity of planet is 4/9th the gravity of earth.

We know,

gravity of earth = 10m/s² (approx)

Given, mass of body = 4.5kg

Gravity of another planet,

g = 4/9 × 10m/s²

Weight on another planet = mg

Weight = 4.5kg × 4/9 × 10m/s²

Weight = 20kg

Hope it helps!

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