   Chapter 6, Problem 22P

Chapter
Section
Textbook Problem

A rifle with a weight of 30.0 N fires a 5.00-g bullet with a speed of 3.00 × 102 m/s. (a) Find the recoil speed of the rifle, (b) If a 7.00 × 102-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle.

(a)

To determine
The velocity of the rifle.

Explanation

Given Info: Weight of the rifle is w=30.0 N and mass of the bullet is mbullet=5.00g .

Explanation:

The expression for mass of the rifle,

mrifle=wg

• w is the weight of the rifle.
• g is the acceleration due to gravity.
• mrifle is the mass of the rifle.

Substitute 30.0 N for w and 9.80 m/s2 for g .

mrifle=30.0N9.80m/s2=3.06kg

Thus the mass of the rifle is 3.06kg .

The direction of the bullet’s motion is negative.

Velocity of the bullet is vbullet=3.00×102m/s , initial velocity of the bullet is vbullet=0 and initial velocity of the rifle is vrifle=0 .

Apply conservation of momentum to bullet-rifle system

(mriflevrifle+mbulletvbullet)f=(mriflevrifle+mbulletvbullet)i

Substitute 3

(b)

To determine
Speed of the man and rifle

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