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A bullet is fired horizontally into a stationary block of wood that is suspended by a string and then remains stuck in the block. The mass of the bullet is m = 0.0095 kg and the mass of the block is M = 1.04 kg. After the collision the block/bullet swings and reaches a height of h = 0.85 m above its initial height. (No air resistance) Find an expression for the block/bullet system immediately after the collision and use it to find the speed of this block/bullet system immediately after the collision in meters per second. Find an expression for the initial speed of the bullet and use it to solve for the bullet's initial speed in meters per second. Calculate the ratio (as a percentage) of the kinetic energy of the block/bullet system immediately after the collision to the initial kinetic energy of the bullet.

A bullet is fired horizontally into a stationary block of wood that is suspended by a string and then remains stuck in the block. The mass of the bullet is m = 0.0095 kg and the mass of the block is M = 1.04 kg. After the collision the block/bullet swings and reaches a height of h = 0.85 m above its initial height. (No air resistance) Find an expression for the block/bullet system immediately after the collision and use it to find the speed of this block/bullet system immediately after the collision in meters per second. Find an expression for the initial speed of the bullet and use it to solve for the bullet's initial speed in meters per second. Calculate the ratio (as a percentage) of the kinetic energy of the block/bullet system immediately after the collision to the initial kinetic energy of the bullet.

Principles of Physics: A Calculus-Based Text
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
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 57P: A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a...
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A bullet is fired horizontally into a stationary block of wood that is suspended by a string and then remains stuck in the block. The mass of the bullet is m = 0.0095 kg and the mass of the block is M = 1.04 kg. After the collision the block/bullet swings and reaches a height of h = 0.85 m above its initial height. (No air resistance) Find an expression for the block/bullet system immediately after the collision and use it to find the speed of this block/bullet system immediately after the collision in meters per second. Find an expression for the initial speed of the bullet and use it to solve for the bullet's initial speed in meters per second. Calculate the ratio (as a percentage) of the kinetic energy of the block/bullet system immediately after the collision to the initial kinetic energy of the bullet.
Transcribed Image Text:A bullet is fired horizontally into a stationary block of wood that is suspended by a string and then remains stuck in the block. The mass of the bullet is m = 0.0095 kg and the mass of the block is M = 1.04 kg. After the collision the block/bullet swings and reaches a height of h = 0.85 m above its initial height. (No air resistance) Find an expression for the block/bullet system immediately after the collision and use it to find the speed of this block/bullet system immediately after the collision in meters per second. Find an expression for the initial speed of the bullet and use it to solve for the bullet's initial speed in meters per second. Calculate the ratio (as a percentage) of the kinetic energy of the block/bullet system immediately after the collision to the initial kinetic energy of the bullet.
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