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give and mass of two balls a and b = m and 2m
density of two balls a and b= 2v and v
moment of inertia of sphere = (2/5)M *R^2
if the radius R of two ball is constant
then
moment of inertia of A /moment of inertia of B = Mass of A/mass of B = m/2m = 1/2
so
moment of inertia of A is 2 times the moment of inertia of B
b) we know that momentum = mass *velocity
so momentum of A /moment of B = 2mv/2mv = 1/1
momentum of A is equal to momentum of B
c) We know that
F = ma
and
to stop body v = 0
intiel velocity of A and B = v and 2v
let time taken by both body be t
so
v = u + at
a = - u/t
For A and B
Fa/Fb = (- 2mv/t )/(- 2mv/t)
Fa = Fb
both the body need same amount of force to stop since both force are equal.
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