Help with linear momentum conservation problem

In summary, the problem is asking for the magnitudes of V1 and V2, which can be solved using the Conservation of Momentum principle.
  • #1
bananan
176
0
I have been screwing around with this problem for, I kid you not, almost four hours. Please walk me through to the answer... this is driving me crazy!

The problem:

A fireworks rocket is moving at a speed of 45.0 m/s. The rocket suddenly breaks into two pieces of equal mass, which fly off with velocities V1 (offset 30 degrees to the left of the initial flight path of the rocket) and V2 (offset 60 degrees to the right of the initial flight path of the rocket). What are the magnitudes of V1 and V2?

A step-by-step walkthrough would be enormously appreciated...
 
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  • #2
bananan said:
I have been screwing around with this problem for, I kid you not, almost four hours. Please walk me through to the answer... this is driving me crazy!

The problem:

A fireworks rocket is moving at a speed of 45.0 m/s. The rocket suddenly breaks into two pieces of equal mass, which fly off with velocities V1 (offset 30 degrees to the left of the initial flight path of the rocket) and V2 (offset 60 degrees to the right of the initial flight path of the rocket). What are the magnitudes of V1 and V2?

A step-by-step walkthrough would be enormously appreciated...

As you named the thread, linear momentum is conserved. Linear momentum is a vector. So, if it is conserved, that means you can apply that fact in both directions. That makes two equations with two unknowns. Present your work if you get stuck.
 
  • #3
Have you tried to apply Conservation of Momentum? Remember that the final momentum of the system is equal to the initial momentum.
 

Related to Help with linear momentum conservation problem

What is linear momentum conservation?

Linear momentum conservation is a fundamental law of physics that states that the total linear momentum of an isolated system remains constant. In other words, the total momentum of all objects in a system before any interaction is the same as the total momentum after the interaction, as long as there are no external forces acting on the system.

What is an example of a linear momentum conservation problem?

An example of a linear momentum conservation problem is when two objects collide with each other. The momentum of each object before the collision must be equal to the total momentum of both objects after the collision.

How do you solve a linear momentum conservation problem?

In order to solve a linear momentum conservation problem, you must first identify the objects involved in the system and their initial velocities. Next, you must apply the conservation of linear momentum equation, which states that the sum of the initial momenta must equal the sum of the final momenta. This will allow you to solve for any unknown velocities or masses.

What factors affect linear momentum conservation?

Linear momentum conservation is affected by the mass and velocity of the objects in a system. The greater the mass and velocity, the greater the momentum of the object. External forces and collisions can also affect the conservation of linear momentum in a system.

Why is linear momentum conservation important?

Linear momentum conservation is important because it is a fundamental law of physics that helps us understand and predict the motion of objects. It is used in various fields, including engineering, mechanics, and astrophysics. Additionally, it is a crucial principle in understanding the conservation of energy and the behavior of objects in collisions.

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