Conservation of Momentum of a shot bullet

In summary, the conservation of momentum is a fundamental law in physics stating that the total momentum in a closed system remains constant. This applies to a shot bullet, where the momentum of the bullet is equal and opposite to the momentum of the gun. Factors such as mass, velocity, and external forces can affect the conservation of momentum. It cannot be violated and is used in various real-world applications such as space travel and sports.
  • #1
Kennedy111
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0

Homework Statement


If a 30 g bullet is shot with a velocity of +300 m/s from a 7.5 kg gun, what is the recoil velocity of the gun?

m1 = 0.03 kg
v1 = 300 m/s
m2 = 7.5 kg

Velocity initial for both objects is 0.0 m/s

Homework Equations



(m1 + m2)(v) = (m1v1) + (m2v2)


The Attempt at a Solution



0 = (0.03kg x 300m/s) + (7.5kg x v)
0 = 9kgm/s = (7.5kg x v)
-9kgm/s = 7.5 kg x v
v = -1.2 m/s
 
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  • #2
Your attempt and solution look good.
 
  • #3
Okay :) Thank you!
 

1. What is the conservation of momentum?

The conservation of momentum is a fundamental law in physics that states that in a closed system, the total momentum before an event must equal the total momentum after the event. This means that the total amount of momentum in a system remains constant, regardless of any internal changes or interactions.

2. How does the conservation of momentum apply to a shot bullet?

When a bullet is fired from a gun, the system is considered closed because there are no external forces acting on the bullet. Therefore, the total momentum before the bullet is fired must equal the total momentum after the bullet is fired. This means that the momentum of the bullet will be equal and opposite to the momentum of the gun, resulting in a recoil of the gun.

3. What factors affect the conservation of momentum in a shot bullet?

The conservation of momentum is affected by the mass and velocity of the bullet. A heavier bullet will have a greater momentum, and a bullet with a higher velocity will also have a greater momentum. Additionally, any external forces such as air resistance or gravity can also impact the conservation of momentum.

4. Can the conservation of momentum be violated?

No, the conservation of momentum is a fundamental law of physics and cannot be violated. In any closed system, the total momentum must remain constant. If it appears that the conservation of momentum has been violated, it is likely due to an incomplete understanding of the system or inaccurate measurements.

5. How is the conservation of momentum used in real-world applications?

The conservation of momentum is used in a variety of real-world applications, including space travel, car crashes, and sports such as billiards and ice hockey. It is also a crucial concept in understanding the motion of objects in the universe, such as planets and stars.

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