Answered: In a ballistic pendulum an object of…

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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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 θ as shown . Part A Find an expression for v0 , the initial speed of the fired object. Express your answer in terms of some or all of the variables m , M , L , and θ and the acceleration due to gravity, g . You did not open hints for this part. ANSWER: vf = Incorrect; Try Again Part B 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 .
v = 0
M
M+ m-
Part A
Find an expression for vo , the initial speed of the fired object.
Express your answer in terms of some or all of the variables m , M , L , and 0 and the
acceleration due to gravity, g .
You did not open hints for this part.
ANSWER:
Vf =
Incorrect; Try Again
Part B
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, (vo)9.0/(vo)44 ·
Express your answer numerically.
You did not open hints for this part.
ANSWER:
vn = 63.6

Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.

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