Bullet fired in a pendulum. Calculate the initial speed of the bullet.

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SUMMARY

The problem involves a .005 kg bullet embedded in a 4.0 kg pendulum bob, which rises 5.0 cm after impact. To calculate the initial speed of the bullet, apply the conservation of momentum during the collision and conservation of energy as the pendulum swings upward. The initial speed can be determined using these principles, ensuring accurate calculations based on the given mass and height parameters.

PREREQUISITES
  • Understanding of conservation of momentum
  • Knowledge of conservation of energy principles
  • Familiarity with basic kinematics
  • Ability to perform calculations involving mass and height
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  • Study the conservation of momentum in inelastic collisions
  • Learn about potential energy and its conversion to kinetic energy
  • Explore kinematic equations relevant to projectile motion
  • Practice problems involving energy conservation in pendulum systems
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febreze
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I've been trying to figure this out for a while and it's due tomorrow...any help would be greatly appreciated.

A .005 kg bullet is fired into a 4.0 kg pendulum bob initially at rest and becomes embedded in it. If the pendulum rises a vertical distance of 5.0 cm, calculate the initial speed of the bullet.

I tried to use a kinematics equation to find the velocity, but I needed an acceleration, so I tried to use F=ma, but I'm retarded or something but couldn't figure it out any way. Thanks for any help offered.
 
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febreze said:
I've been trying to figure this out for a while and it's due tomorrow...any help would be greatly appreciated.
A .005 kg bullet is fired into a 4.0 kg pendulum bob initially at rest and becomes embedded in it. If the pendulum rises a vertical distance of 5.0 cm, calculate the initial speed of the bullet.
I tried to use a kinematics equation to find the velocity, but I needed an acceleration, so I tried to use F=ma, but I'm retarded or something but couldn't figure it out any way. Thanks for any help offered.

1. Use conservation of momentum when the bullet hits the pendulum.

2. Then use conservation of energy when the bullet+pendulum swing to the top.

Zz.
 

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