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 theta as shown (Figure 1).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 theta and the acceleration due to gravity, g.) An experiment is done to compare the initial speed of bullets fired from different handguns: a 9.0 m and a .44 caliber. The guns are fired into a 10-kg pendulum bob of length L. Assume that the 9.0-m bullet has a mass of 6.0 g and the .44-caliber bullet has a mass of 12 g . If the 9.0-m bullet causes the pendulum to swing to a maximum angular displacement of 4.3 degree and the .44-caliber bullet causes a displacement of 10.1 degrees , find the ratio of the initial speed of the 9.0-m bullet to the speed of the .44-caliber bullet, (v0)9.0/(v0)44 v = 0MM+m

Let the m be the mass of the bullet. Let the M be the mass of the block. Let v0 be the initial…

Answered: v = 0 M -M+ m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 5P

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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 theta as shown (Figure 1).

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 theta and the acceleration due to gravity, g.)

An experiment is done to compare the initial speed of bullets fired from different handguns: a 9.0 m and a .44 caliber. The guns are fired into a 10-kg pendulum bob of length L. Assume that the 9.0-m bullet has a mass of 6.0 g and the .44-caliber bullet has a mass of 12 g . If the 9.0-m bullet causes the pendulum to swing to a maximum angular displacement of 4.3 degree and the .44-caliber bullet causes a displacement of 10.1 degrees , find the ratio of the initial speed of the 9.0-m bullet to the speed of the .44-caliber bullet, (v₀)_9.0/(v₀)₄₄

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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