Pendulum problem in KE chapter

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In summary, the conversation discusses using two conservation laws to determine the minimum value of speed (v) needed for a bullet of mass m to pass through a pendulum bob of mass M and cause it to barely swing through a complete vertical circle. The two conservation laws mentioned are conservation of momentum and conservation of energy.
  • #1
esinn08
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Hi Everyone,

My question is as follows:

A bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed v/2. The pendulum bob is suspended by a stiff rod of length and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use M for M, m for m, l for , and g for gravity, as necessary.)

Any suggestions would be greatly appreciated! :smile: Thanks so much!

esinn08
 
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  • #2
Why don't you give it a shot? Here's a hint: You'll need to use two conservation laws.
 
  • #3
Doc Al said:
Why don't you give it a shot? Here's a hint: You'll need to use two conservation laws.

1) conservation of momentum
2) conservation of energy

Am I right?
 
  • #4
You are correct.
 

FAQ: Pendulum problem in KE chapter

What is the pendulum problem in the kinetic energy chapter?

The pendulum problem in the kinetic energy chapter refers to a physics problem involving a simple pendulum, which is a mass attached to a string or rod that is able to swing back and forth. The problem typically involves calculating the kinetic energy of the pendulum at different points in its swing.

How do you calculate the kinetic energy of a pendulum?

The kinetic energy of a pendulum can be calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the pendulum and v is the velocity of the pendulum at a given point in its swing. This formula is derived from the general equation for kinetic energy, KE = 1/2 * m * v^2, where m is mass and v is velocity.

What factors affect the kinetic energy of a pendulum?

The kinetic energy of a pendulum is affected by several factors, including the mass of the pendulum, the length of the string or rod, the angle at which the pendulum is released, and the gravitational acceleration of the pendulum's location. In addition, air resistance and friction may also play a role in altering the kinetic energy of the pendulum.

How does the kinetic energy of a pendulum change during its swing?

The kinetic energy of a pendulum changes during its swing due to the conversion of potential energy into kinetic energy and vice versa. As the pendulum swings higher, it gains potential energy and loses kinetic energy. As it swings back down, it loses potential energy and gains kinetic energy. The total energy of the pendulum (kinetic + potential) remains constant due to the law of conservation of energy.

How is the pendulum problem in the kinetic energy chapter relevant in real life?

The pendulum problem in the kinetic energy chapter is relevant in real life because it helps us understand the concept of energy conversion and conservation, which is applicable to many real-world situations. For example, the oscillations of a pendulum can be seen in various mechanical systems, such as a grandfather clock, and the principles of kinetic and potential energy are also important in fields such as engineering and physics.

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