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

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Homework Help Overview

The discussion revolves around a ballistic pendulum problem involving a 25-gm bullet and a block weighing 98N. The scenario includes calculating the length of the arc through which the pendulum swings after the bullet strikes the block.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conservation of momentum and energy as potential methods for solving the problem. There are questions about how to compute the arc length after determining the height of the pendulum's swing.

Discussion Status

Some participants have provided hints regarding the conservation principles involved, while others express uncertainty about the next steps, particularly in calculating the arc length. Multiple interpretations of the problem setup are being explored.

Contextual Notes

There is mention of the bullet embedding into the block, which may influence the calculations. The radius of the pendulum's swing is specified as 1m, but further details on the angle and arc length remain unclear.

acissej_o3
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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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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:
 


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:)
 
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:
 
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:

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