Solving Momentum in Inelastic Collisions

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SUMMARY

The discussion focuses on calculating the impulse acting on a wooden block during an inelastic collision with a bullet. The bullet, with a mass of 0.11 kg and an initial speed of 1129.8 m/s, collides with a 12.7 kg block, resulting in a final velocity of 9.702 m/s for the combined system. The initial momentum is calculated as 124.278 kg·m/s, and since momentum is conserved, the final momentum also equals 124.278 kg·m/s. The impulse acting on the block is determined to be 0, indicating a misunderstanding in the calculation of impulse, which should account for the change in velocity of the bullet and the block.

PREREQUISITES
  • Understanding of inelastic collisions and momentum conservation
  • Basic knowledge of impulse and its calculation
  • Familiarity with mass and velocity units in physics
  • Ability to solve algebraic equations
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  • Review the principles of impulse and momentum in inelastic collisions
  • Study the concept of conservation of momentum in different collision types
  • Learn how to calculate impulse using the formula Impulse = Change in Momentum
  • Explore examples of real-world applications of inelastic collisions
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Physics students, educators, and anyone interested in understanding the dynamics of collisions and impulse in mechanics.

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A bullet of mass 0.11 kg and moving along the horizontal direction with a speed 1129.8 meters/sec hits a wooden block of mass 12.7 kg and gets embedded in it. Find the impulse acting on the block in meters/sec.

Here's what I did:
initial momentum = (0.11*1129.8) + (12.7*0) = 124.278
final momentum = (0.11 + 12.7) v

inelastic collision, momentum is conserved; so:
initial momentum = final momentum
124.278 = 12.81v
v = 9.702 m/s
final momentum = (12.81*9.702) = 124.278

Impulse = final momentum - initial momentum
= (124.278-124.278)
= 0

The answer is 123.21 meter/sec. What did I do wrong? Please help. Thanks!
 
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Sorry, supposed to be :The change of the bullet's velocity is due to the impulse force exerted on the bullet by the block.
The change of the block's velocity is due to the impulse force exerted on the block by the bullet.
 
Last edited:
Thanks Leong!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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