Solving Momentum in Inelastic Collisions

In summary, a bullet with a mass of 0.11 kg and a speed of 1129.8 meters/sec collides with a wooden block of mass 12.7 kg and gets embedded in it. The impulse acting on the block is found by calculating the final momentum of the system, which is equal to the initial momentum. The change in the bullet's velocity is due to the impulse force exerted by the block, while the change in the block's velocity is due to the impulse force exerted by the bullet. In this case, the impulse acting on the block is 0 meters/sec. The correct answer is 123.21 meter/sec.
  • #1
buffgilville
91
0
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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  • #2
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:
  • #3
Thanks Leong!
 

1. What is an inelastic collision?

An inelastic collision is a type of collision in which kinetic energy is not conserved. This means that the total energy of the system before and after the collision is not the same. In an inelastic collision, some of the kinetic energy is converted into other forms of energy, such as heat or sound.

2. How do you calculate momentum in an inelastic collision?

To calculate momentum in an inelastic collision, you need to know the mass and velocity of each object before and after the collision. The total momentum before the collision is equal to the total momentum after the collision, according to the law of conservation of momentum. This can be expressed as m1v1 + m2v2 = m1v1' + m2v2', where m is mass and v is velocity.

3. What is the difference between an inelastic collision and an elastic collision?

In an elastic collision, kinetic energy is conserved, meaning that the total energy of the system before and after the collision is the same. In an inelastic collision, as mentioned earlier, some of the kinetic energy is converted into other forms of energy. Additionally, in an elastic collision, the objects bounce off each other, while in an inelastic collision, the objects stick together or deform upon impact.

4. How does momentum affect the outcome of an inelastic collision?

Momentum plays a crucial role in the outcome of an inelastic collision. The total momentum of the system must be conserved, which means that the objects' combined mass and velocity before the collision must equal the combined mass and velocity after the collision. This can help determine the final velocity of the objects after the collision.

5. Can momentum be negative in an inelastic collision?

Yes, momentum can be negative in an inelastic collision. This is because momentum is a vector quantity, meaning it has both magnitude and direction. If an object is moving in the opposite direction of the chosen positive direction, its momentum would be considered negative.

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