In a ballistic pendulum an object of mass m is fired with aninitial speed vat a pendulum bob. The bob has a mass M,which is suspended by a rod of length I and negligible mass.After the collision, the pendulum and object stick together andswing to a maximum angular displacement as shown (Figure 1).FigureV%0mM-M+mV=01 of 1 >Part AFind an expression for, the initial speed of the fired object.Express your answer in terms of some or all of the variables m, M, L, and and the acceleration due to gravity, g.► View Available Hint(s)Vo =(M+m)√2gL(1-cos(6))mSubmit Previous Answers✓ CorrectThe ballistic pendulum was invented during the Napoleonic Wars to aide the British Navy in making better cannons. It has since been used byballisticians to measure the velocity of a bullet as it leaves the barrel of a gun. In Part B you will use your expression for to compare the initialspeeds of bullets fired from 9.0-mm and 44-caliber handguns.Part BAn 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-kgpendulum 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 bulletcauses 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 theinitial speed of the 9.0-mm bullet to the speed of the .44-caliber bullet, (vo)9.0/(v0)44-Express your answer numerically.▸ View Available Hint(s)(20)9.0/(20)44 =Submit195| ΑΣΦΑ—|?

Given:Mass of bob, M=10KgMass of 9 mm bullet, m=6gMass of 44-caliber bullet, m=12gMaximum angular…

Figure M V M+m < 1 of 1 > V=0 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. ▸ View Available Hint(s) (vo)0.0/(20)44 = Submit 195| ΑΣΦ 4 ?

Figure M V M+m < 1 of 1 > V=0 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. ▸ View Available Hint(s) (vo)0.0/(20)44 = Submit 195| ΑΣΦ 4 ?

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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Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

In a ballistic pendulum an object of mass m is fired with an
initial speed vat a pendulum bob. The bob has a mass M,
which is suspended by a rod of length I and negligible mass.
After the collision, the pendulum and object stick together and
swing to a maximum angular displacement as shown (
Figure 1).
Figure
V
%0
m
M
-M+m
V=0
1 of 1 >
Part A
Find an expression for, the initial speed of the fired object.
Express your answer in terms of some or all of the variables m, M, L, and and the acceleration due to gravity, g.
► View Available Hint(s)
Vo =
(M+m)√2gL(1-cos(6))
m
Submit Previous Answers
✓ Correct
The ballistic pendulum was invented during the Napoleonic Wars to aide the British Navy in making better cannons. It has since been used by
ballisticians to measure the velocity of a bullet as it leaves the barrel of a gun. In Part B you will use your expression for to compare the initial
speeds of bullets fired from 9.0-mm and 44-caliber handguns.
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/(v0)44-
Express your answer numerically.
▸ View Available Hint(s)
(20)9.0/(20)44 =
Submit
195| ΑΣΦΑ
—|
?

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