Two balls 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 same time.

Question

Two balls 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 same time.

KnowledgeBoat · Accepted Answer

(i) Given, Mass of A = m Mass of B = 2m The factor on which inertia of a body depends is mass. More the mass, more is the inertia of the body. Therefore, Substituting the values, we get, Hence, ratio of their inertia = 1 : 2 (ii) As we know, momentum of a body (p) = mass (m) x velocity (v) Given, v_A = 2v v_B = v Ratio between the two is Substituting the values, we get, Hence, ratio between the momentum of A and B is 1 : 1 (iii) According to Newton's second law of motion, the rate of change of momentum of a body is directly proportional to the force applied on it and as the ratio of momentum between A and B is 1 : 1, hence, ratio of force needed to stop A and B is also 1 : 1

Physics

Two balls 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 same time.

Laws of Motion

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Compare (i) their inertia (ii) their momentum.

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Physics

Two balls 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 same time.

Laws of Motion

Related Questions

A body of mass m moving with a velocity v is acted upon by a force. Write expression for change in momentum in each of the following cases (i) when v << c (ii) when v → c, and (iii) when v << c but m does not remain constant. Here c is the speed of light.

Two bodies A and B of same mass are moving with velocities v and 2v respectively.Compare (i) their inertia (ii) their momentum.

Name the S.I. unit of force and define it.

What is the C.G.S unit of force ? How is it defined ?

Two balls 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 same time.

Two bodies A and B of same mass are moving with velocities v and 2v respectively.
Compare (i) their inertia (ii) their momentum.