   Chapter 6.3, Problem 6.4QQ

Chapter
Section
Textbook Problem

An object of mass m moves to the right with a speed v. It collides head-on with an object of man 3m moving with speed v/3 in the opposite direction. If the two objects stick together, what is the speed of the combined object, of mass 4w, after the collision?(a) 0 (b) v/2 (c)v (d)2v

To determine

The speed of combined object.

Explanation

Given info:

The mass of first object is m and the mass of second object is 3m. The speed of first object is v and the speed of second object is v/3.

The collision occurred here is inelastic. In inelastic collision, the kinetic energy is not conserved however, the momentum is conserved.

According to the conservation of momentum, the initial momentum of the system is equal to the final velocity of the system.

The conservation of momentum is given by,

m1u1+m2u2=(m1+m2)vf

• m1 is the mass of first object
• m2 is the mass of second object
• u1 is the initial velocity of first object
• u2 is the initial velocity of raft
• vf is the final velocity of the combined object

Rearrange the equation to get the final velocity of the combined object

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