Question

How does the weight of an object
vany with respect to mass and radius
of the alameter of the earth becomes hall
of its present value and its mass
becomes four times of its present
value, then how would the weight
of any object on the surface of the
earth be affected?​

Answer 1

Answer:

ANSWER

The weight of an object is directly proportional to the mass of the earth and inversely proportional to the square of the radius of the earth. i.e.

Weight of a body ∝

R

2

M

Original weight W

o

=mg=mG

R

2

M

when hypothetically M becomes 4 M and R becomes

2

R

Then weight becomes

W

n

=mG

(

2

R

)

2

4M

=(16mG)

R

2

M

=16×W

o

The weight will become 16 times the present weight.

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