Question

Two bodies A and B of masses m and 2m are in motion with velocities 2v and v respectively . Compare (I) their inertia , (ii)their momentum, and (iii) the force needed to stop them in the samne time.

Answer 1

Comparison of momentum

for body1

p₁ = m.2v = 2mv

for body 2

p₂ = 2m.v = 2mv

so,

momenta are same

..

Comparison of stopping force

for body 1

F₁ = ma = m.(2v - 0)/t = 2mv/t

and

for body 2

F₂ = ma = 2m.(v - 0)/t = 2mv/t

so,

the stopping force is the same as well.

This means that the inertia will also be same.