Question

Weight of a body is 30 kg on the surface of the earth find its weight on a planet whose mass is 1/9 the mass of earth and radius is half oe earth

Answer 1

SOLUTION.

What is weight of a object ?

• As we see if we throw a body in air on the surface of earth than it come back so there is a force exerted by the earth on the object which attracts the object this force is known as weight of the body.

Weight = mass × Acceleration due to gravity

Let the mass be m

Acceleration be g

than weight = mg

On surface of earth g = √GM/√R

where G is gravitation constant

M is mass of earth

R is radius of earth

Acc to question

30 = √GM/√R.....(1)

Let the mass of planet = M°

Radius of planet = R°

than weight of same object can be written as..

W° = √GM°/√R°....(2)

M° = M/9

R° = R/2

Put in (2)

W° = (√2/3)(√GM/√R)

from (1) √GM/√R = 30

W° = 30(√2/3)

W° = 10√2kg

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