Q) IF RADIUS OF EARTH KEEP DECREASING KEEPING MASSS CONSTANT THEN EFFECT ON WEIGHT OF A BODY?
Sol) Since weight of body is given by
F = mg Newton
Here m = mass of body in Kg
g = accln due to gravity = 9.8 m/sec^2
Now g is expressed as
g = GM/R2
Where M = mass of earth
G = Gravitational constant
R= Radius of earth.
If R decreases such that M remains same, Obviously g increases.
Thus, If R is Halved, weight becomes 4 times.
If R is 1/3 times of R, then weight of the body becomes 9 times.
In general if radius is 1/n times of R, weight gets multiplied by n2
Moderation Team
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