Agent 009 devised the following method of measuring the muzzle velocity of a rifle (Figure below). He fires a bullet into a 4.648-kg wooden block resting on a smooth surface, and attached to a spring of spring constant k = 142.7 N/m. The bullet, whose mass is 7.870 g, remans embedded in the wooden block. He measures the maximum distance that block compresses the spring to be 9.460 cm. (a) What is the speed of the bullet? (b) What is the loss in the kinetic energy of the bullet? (c) What is the spring force exerted on the block?

Agent 009 devised the following method of measuring the muzzle velocity of a rifle (Figure below). He fires a bullet into a 4.648-kg wooden block resting on a smooth surface, and attached to a spring of spring constant k = 142.7 N/m. The bullet, whose mass is 7.870 g, remans embedded in the wooden block. He measures the maximum distance that block compresses the spring to be 9.460 cm. (a) What is the speed of the bullet? (b) What is the loss in the kinetic energy of the bullet? (c) What is the spring force exerted on the block?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 11PQ

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Question

can you solve a b c

Agent 009 devised the following method of measuring the muzzle velocity
of a rifle (Figure below). He fires a bullet into a 4.648-kg wooden block resting on
a smooth surface, and attached to a spring of spring constant k = 142.7 N/m. The
bullet, whose mass is 7.870 g, remans embedded in the wooden block. He
measures the maximum distance that block compresses the spring to be 9.460
cm.
(a)
(b) What is the loss in the kinetic energy of the bullet?
(c)
(d)
What is the speed of the bullet?
What is the spring force exerted on the block?
Show that the blocks motion after the collision is simple harmonic
of the form x = Asinwt.
(e)
What is the period of the motion?
ww
M
9.460 cm
M + m

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