Calculate Swing Length of Ballistic Pendulum | 25-gm Bullet at 300m/sec

In summary, a 25-gm bullet with a speed of 300m/sec hits a block of a ballistic pendulum supported by a light cord 1m long. Using conservation of momentum and energy, the height of the pendulum can be calculated. To find the length of the arc, the block is considered to move on a circle with a radius of 1m and the cosine of the angle can be used to compute the arc length.
  • #1
acissej_o3
3
0
a 25-gm bullet traveling with a speed of 300m/sec strikes the block of a ballistic pendulum. the block weighs 98N and is supported by a light cord 1 m long. calculate the length of the arc through which the pendulum swings.
 
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  • #2
Welcome to PF!

acissej_o3 said:
a 25-gm bullet traveling with a speed of 300m/sec strikes the block of a ballistic pendulum. the block weighs 98N and is supported by a light cord 1 m long. calculate the length of the arc through which the pendulum swings.

Hi acissej_o3! Welcome to PF! :smile:

Hint: the bullet will be embedded in the block, so they will move together.

Use conservation of momentum to find the initial velocity, and then use conservation of energy to find the height! :smile:
 
  • #3


tiny-tim said:
Hi acissej_o3! Welcome to PF! :smile:

Hint: the bullet will be embedded in the block, so they will move together.

Use conservation of momentum to find the initial velocity, and then use conservation of energy to find the height! :smile:

i have computed for the height. i don't know how to compute for the arc... tnx for replying:)
 
  • #4
acissej_o3 said:
i have computed for the height. i don't know how to compute for the arc...

easy-peasy! :smile:

the block moves on a circle of radius 1m …

so the cos of the angle is … ? :wink:
 
  • #5
tiny-tim said:
easy-peasy! :smile:

the block moves on a circle of radius 1m …

so the cos of the angle is … ? :wink:

y is it zero?
 
Last edited:

Related to Calculate Swing Length of Ballistic Pendulum | 25-gm Bullet at 300m/sec

1. What is a ballistic pendulum?

A ballistic pendulum is a device used to measure the speed of a projectile by using the principle of conservation of momentum. It consists of a pendulum with a known mass and length, which is struck by a projectile and swings upward. By measuring the height of the pendulum after the collision, the initial velocity of the projectile can be calculated.

2. How does a ballistic pendulum work?

A ballistic pendulum works by using the principle of conservation of momentum. When a projectile is fired into the pendulum, it transfers some of its momentum to the pendulum, causing it to swing upward. The height of the pendulum is measured, and by using the known mass and length of the pendulum, the initial velocity of the projectile can be calculated.

3. What factors affect the accuracy of a ballistic pendulum?

The accuracy of a ballistic pendulum can be affected by several factors, including the mass and length of the pendulum, the type of projectile, air resistance, and friction. The precision of the measurement instruments used and human error can also impact the accuracy of the results.

4. What are the advantages of using a ballistic pendulum?

One advantage of using a ballistic pendulum is that it is relatively simple and inexpensive to set up and use. It also allows for the measurement of high-speed projectiles, which may be difficult to measure using other methods. Additionally, the principle of conservation of momentum is a well-established law of physics, making the results of a ballistic pendulum experiment reliable.

5. How is a ballistic pendulum used in real-world applications?

Ballistic pendulums have been used in various real-world applications, including forensic science to determine the velocity of a bullet from a gun, in sports to measure the speed of a baseball pitch or golf swing, and in military and defense to test the effectiveness of weapons. They have also been used in research and development for testing the performance of new materials or objects under high-speed impacts.

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