Question

If the earth shrinks to 50% of its real radius its mass remaining the same, the weight of a body on earth will
a) decreased by 50%. b) increased by 50%
c) decreased by 25%
d)increased by 300%

Answer 1

Answer:

Answer:

Gravitational acceleration g= GM/r^2

M….mass of earth.

Mass is same

r……radius of earth or distance from earth centre to the point where g required to measure.

r now half.

So acceleration will be 2^2 = 4 times the normal acceleration.

g' = 4g

Weight= mass × gravitational acceleration = mg

So weight will be four times and unit Newton or kg m/s^2.

Now comes the big twist.

Weight according to physics will be 4 times. But weight term used in day to day life is different.

If you take four piece of apple which weigh 1 kg with g = 9.8 , will be same 1 kg with 4g too.

Your weight will be same like 70 kg will be 70 kg after g increased to four times. But You will feel very heavy like four times in new conditions.

bathroom scale must show same 70 kgs after new calibration.

If you weigh yourself on balance weigh system, you will find you are still weigh same 70 kgs.

Because weight in common terms used for mass rather than force.

Weight have two different meanings. One for physics which is normal force other is common use for mass.

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