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A bullet with a mass of 4.0 g and a speed of 650 m/s is
Chapter 9, Problem 32(choose chapter or problem)
A bullet with a mass of 4.0 g and a speed of 650 m/s is red at a block of wood with a mass of 0.095 kg. The block rests on a frictionless surface, and is thin enough that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of the block is 23 m/s. (a) What is the speed of the bullet when it exits the block? (b) Is the nal kinetic energy of this system equal to, less than, or greater than the initial kinetic energy? Explain. (c) Verify your answer to part (b) by calculating the initial and nal kinetic energies of the system.
Questions & Answers
QUESTION:
A bullet with a mass of 4.0 g and a speed of 650 m/s is red at a block of wood with a mass of 0.095 kg. The block rests on a frictionless surface, and is thin enough that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of the block is 23 m/s. (a) What is the speed of the bullet when it exits the block? (b) Is the nal kinetic energy of this system equal to, less than, or greater than the initial kinetic energy? Explain. (c) Verify your answer to part (b) by calculating the initial and nal kinetic energies of the system.
ANSWER:Step 1 of 7
The law of conservation of momentum states that the total momentum of a closed system of objects (meaning a system where there are no external forces acting) remains constant. This means that if two objects interact with each other, the total momentum of the two objects before the interaction is equal to the total momentum of the two objects after the interaction.
The speed of the bullet after collision can be determined using the law of conservation of momentum. The kinetic energy of the system can be calculated by using the following equation
Here the mass of the system is
the speed of the system is 