Question

Read the following passage and answer 37-40: Two balls A and B of masses 'm' and '2m' are in motion with velocities '2v' and '3v' respectively. After some time, their velocities change to '4v' and '6v' respectively
find:
1. compare the inertia in ratio
2. compare the initial momentum in ratio
3. compare the final momentum in ratio
4. compare the initial velocity in ratio

Answer 1

Answer:

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Explanation:

Expert Answer:

(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