7. Figure 11(a) shows a ballistics pendulum used to deter-mine speeds of bullets before the advent of modern elec-tronic timing. A bullet is shot horizontally into a block ofwood suspended by two strings. The bullet remainsembedded in the wood, and the wood and bullet togetherswing upward.(a) Explain why the horizontal momentum of the bullet-wood system is conserved during the collision, eventhough the strings exert tension forces on the wood.(a)m+++(b) If the bullet and wood have masses of m and M,respectively, and the bullet has an initial speed of v,derive an algebraic expression for the speed of thebullet and wood immediately after the collision, beforethey swing upward, in terms of m, M, and v.(c) As the bullet and wood swing up, what law of naturecan be used to relate the maximum vertical height tothe speed just after the collision?(d) Use your answers to (b) and (c) to derive an expres-sion for the maximum vertical height h in terms of m,M, v, and g.(e) Rearrange your expression in (d) so that if his aknown quantity, v can be calculated.(f)If a bullet of mass 8.7 g hits a block of wood of mass5.212 kg, and the bullet and wood swing up to a max-imum height of 6.2 cm, what is the initial speed of thebullet?(g) Figure 11(b) shows a modern ballistics pendulumused for student experimentation. Describe some of thesources of random and systematic error that should beminimized in determining the speed of the ball firedfrom the spring-loaded triggering mechanism.

Answered: Image /qna-images/answer/30bcc469-78d4-426b-9154-52579326090f.jpg

7. Figure 11(a) shows a ballistics pendulum used to deter- mine speeds of bullets before the advent of modern elec- tronic timing. A bullet is shot horizontally into a block of wood suspended by two strings. The bullet remains embedded in the wood, and the wood and bullet together swing upward. (a) Explain why the horizontal momentum of the bullet- wood system is conserved during the collision, even though the strings exert tension forces on the wood. (a) E ↑> +++

7. Figure 11(a) shows a ballistics pendulum used to deter- mine speeds of bullets before the advent of modern elec- tronic timing. A bullet is shot horizontally into a block of wood suspended by two strings. The bullet remains embedded in the wood, and the wood and bullet together swing upward. (a) Explain why the horizontal momentum of the bullet- wood system is conserved during the collision, even though the strings exert tension forces on the wood. (a) E ↑> +++

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

7. Figure 11(a) shows a ballistics pendulum used to deter-
mine speeds of bullets before the advent of modern elec-
tronic timing. A bullet is shot horizontally into a block of
wood suspended by two strings. The bullet remains
embedded in the wood, and the wood and bullet together
swing upward.
(a) Explain why the horizontal momentum of the bullet-
wood system is conserved during the collision, even
though the strings exert tension forces on the wood.
(a)
m
+++
(b) If the bullet and wood have masses of m and M,
respectively, and the bullet has an initial speed of v,
derive an algebraic expression for the speed of the
bullet and wood immediately after the collision, before
they swing upward, in terms of m, M, and v.
(c) As the bullet and wood swing up, what law of nature
can be used to relate the maximum vertical height to
the speed just after the collision?
(d) Use your answers to (b) and (c) to derive an expres-
sion for the maximum vertical height h in terms of m,
M, v, and g.
(e) Rearrange your expression in (d) so that if his a
known quantity, v can be calculated.
(f)
If a bullet of mass 8.7 g hits a block of wood of mass
5.212 kg, and the bullet and wood swing up to a max-
imum height of 6.2 cm, what is the initial speed of the
bullet?
(g) Figure 11(b) shows a modern ballistics pendulum
used for student experimentation. Describe some of the
sources of random and systematic error that should be
minimized in determining the speed of the ball fired
from the spring-loaded triggering mechanism.

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