   Chapter 6, Problem 37P

Chapter
Section
Textbook Problem

Consider the ballistic pendulum device discussed in Example 6.5 and illustrated in Figure 6.13. (a) Determine the ratio of the momentum immediately after the collision to the momentum immediately before the collision, (b) Show that the ratio of the kinetic energy immediately after the collision to the kinetic energy immediately before the collision is m1/(m1 + m2).

(a)

To determine
Ratio of the momentum after and before collision.

Explanation

Given Info: Momentum before collision is pi   and momentum after collision is pf .

Explanation:

The expression for conservation of momentum is,

pi=pf

• pi is the momentum before collision.
• pf is the momentum after collision.

Collision in ballistic Pendulum:

Before collision the objects move independently and after collision the objects stick together, system momentum is conserved but system energy is not conserved

(b)

To determine
Ratio of kinetic energy after and before collision.

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