In a ballistic pendulum an object of mass m is fired with an initial speed vo at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement 0 as shown (Figure 1). Figure 1 of 1 v = 0 M -M+m

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.16P
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In a ballistic pendulum an object of mass m is fired with an initial speed v0 at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement θtheta as shown (Figure 1).

An experiment is done to compare the initial speed of bullets fired from different handguns: a 9.0 mm and a .44 caliber. The guns are fired into a 10-kg pendulum bob of length L. Assume that the 9.0-mm bullet has a mass of 6.0 g and the .44-caliber bullet has a mass of 12 g . If the 9.0-mm bullet causes the pendulum to swing to a maximum angular displacement of 4.3∘∘ and the .44-caliber bullet causes a displacement of 10.1∘∘ , find the ratio of the initial speed of the 9.0-mm bullet to the speed of the .44-caliber bullet, (v0)9.0/(v0)44.

Express your answer numerically. 

In a ballistic pendulum an object of mass m is fired with
an initial speed vo at a pendulum bob. The bob has a
mass M, which is suspended by a rod of length L and
negligible mass. After the collision, the pendulum and
object stick together and swing to a maximum angular
displacement 0 as shown (Figure 1).
Figure
1 of 1
v = 0
M
-M+m
Transcribed Image Text:In a ballistic pendulum an object of mass m is fired with an initial speed vo at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement 0 as shown (Figure 1). Figure 1 of 1 v = 0 M -M+m
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