Question

Two balls A and B of masses m and 2m are in motionwith velocities 2v and v respectively.compare their inertia,their momentum and force needed to stop them in the same time

Answer 1

(i) Since, the mass of B is more, inertia of B will be more.

 

(ii) Momentum is p = mv

Thus, for A, pA = m�2V = 2mV

And, for B, pB = 2m�V = 2mV

Thus, momentum for both is same.

 

(iii) According to Newton's second law, force is rate of change of momentum.

Since, we have to stop both the masses, their final momenta is zero.

 

Thus, force for both masses to stop in same time will be same.

F = dp/dt = 2mV/dt