Problem 9.93-9.94 - Copy 1 and is suspended by a rod Example 9-12 depicts the fo

Question

Problem 9.93-9.94 - Copy 1 and is suspended by a rod Example 9-12 depicts the following scenario n a ballistic pendulum an object of mass m is fired with an initial speed v at the bob of a pendulum. The bob has a mass negligible mass. After the collision, the object and the bob stick together and swing through an arc, eventually gaining a height h u=0 0r Now we will consider some slightly different related scenarios to Example 9-12 Part A Suppose a bullet of mass m = 6.83 g is fired into a ballistic pendulum whose bob has a mass ofM-0.650 kg. If the bob rises to a height of 0.148 m, what was the initial speed of the bullet? m/s Submit My Answers Give Up

Explanation / Answer

  Let the speed of the (bob+bullet) was V m/s after the collision,by the law of energy conservation;-
=>KE(initial) = PE(final)
=>1/2 x (M+m) x V^2 = (M+m) x g x h
=>V = 2gh = [2 x 9.8 x 0.148]
=>V = 1.68 m/s
Let the initial velocity of the bullet was v m/s,by the law of momentum conservation:-
=>mv + M x 0 = (M+m) x V
=>v = [(M+m)/m] x V
=>v = [(6.83 + 0.650 x 10^-3)/(0.650 x 10^-3)] x 1.48
=>v = 15553 m/s

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