   Chapter 6, Problem 10CQ

Chapter
Section
Textbook Problem

Two cans move in the same direction along a frictionless air track, each acted on by the same constant force for a time interval Δt. Cart 2 has twice the mass of cart 1. Which one of the following statements is true? (a) Each cart has the same change in momentum. (b) Cart 1 has the greater change in momentum. (c) Cart 2 has the greater change in momentum. (d) The changes in momenta depend on the initial velocities.

(a)

To determine

To say True or False: Each cart has the same change in momentum.

Explanation

Momentum of a body is defined as the product of its mass and velocity.

Momentum =mass×velocity .(I)

Impulse of a body is defined as the product of force and time.

Impluse=Ft=(ma)t=m(vu)

(b)

To determine

To say True or False: cart 1 has the greater change in momentum.

(c)

To determine

To say True or False: cart 2 has the greater change in momentum.

(d)

To determine

To say True or False: The changes in momenta depend on the initial velocities.

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