Conservation of Momentum and linear momentum

In summary, linear momentum is not conserved in the following situations: A bomb exploding into fragments, a bowling ball colliding with pins, a golf ball being struck by a club, and an astronaut throwing a hammer in space and moving in the opposite direction. However, it is conserved in the system as a whole when considering the Earth's recoil or two cars colliding. The question of whether momentum is conserved or not depends on the system being considered.
  • #1
x0ji11y
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Homework Statement


In which one of the following situations is linear momentum not conserved?
A) A bomb suspended by a string explodes into one hundred fragments.
B) A bowling ball collides with ten pins.
C) A golf ball is struck by a club.
D) An astronaut floating in space throws a hammer away and subsequently moves in the opposite direction.
E) A tree limb is struck by lightning and falls to the ground.

Homework Equations



Momentum=mass(velocity)

The Attempt at a Solution



I have no idea... I thought momentum was always conserved? Can someone help explain this please? Thanks!
 
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  • #2
do you know how to compute the momentum in the lightning bolt? (prolly not yet)
can you figure out a way to measure the Earth's speed moving up to meet the branch?
(Nobel prize if you do it)
 
  • #3
Say you are standing on the the ground. You're at rest, so your momentum is zero. If you now jump, you rise through the air, and your momentum is no longer zero. Clearly, your momentum isn't conserved. However, look at the system consisting of you and the Earth. When you jump up, the Earth recoils, and the momentum of the system as a whole is conserved. Two cars colliding is another example. The momentum of an individual car is obviously not conserved, but the momentum of the two-car system is conserved. So the question of whether momentum is conserved or not depends on what you're talking about, on what is included in the system.
 
  • #4
I think the question is faulty.We may not be able to prove by experiment that momentum is conserved in some of the situations described but theory based on other experiments suggests that within closed systems momentum is always conserved.
 
  • #5
Thanks for the responses! So, when you say that it must remain in a closed environment, are you saying the answer would be the one dealing with lightning or the one dealing with outer space.. sorry I'm still a bit confused. :confused:
 
  • #6
Well, determining that is the whole point of the problem. I agree with Dadface, though. The question isn't worded very well. You're just going to have to use some common sense in deciding what you think they were asking and therefore what the correct answer is.
 

FAQ: Conservation of Momentum and linear momentum

What is conservation of momentum?

Conservation of momentum is a fundamental principle in physics that states that the total momentum of a closed system remains constant. This means that in the absence of external forces, the total momentum of a system before and after a collision or interaction will be the same.

What is linear momentum?

Linear momentum, also known as momentum or translational momentum, is a measure of an object's motion in a straight line. It is defined as the product of an object's mass and its velocity. The SI unit for momentum is kg*m/s.

How is momentum conserved in collisions?

In collisions, the total momentum of the system before the collision is equal to the total momentum after the collision. This is because the forces involved in the collision are internal forces and do not change the total momentum of the system.

What is an elastic collision?

An elastic collision is a type of collision where both kinetic energy and momentum are conserved. This means that the objects involved in the collision rebound off each other with no loss of energy. An example of an elastic collision is two billiard balls colliding on a table.

How does the conservation of momentum apply to real-life situations?

The conservation of momentum is a fundamental principle in physics and applies to many real-life situations. Some examples include car crashes, ballistics, and rocket propulsion. Understanding the conservation of momentum can help us predict the outcome of these situations and design safer and more efficient systems.

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