2 dimensional collision with momentum

In summary, we have two pucks with different masses, one initially at rest and the other moving horizontally in the positive x direction. After a collision, the pucks are sent off at angles θ1 and θ2 relative to the x-axis. We assume conservation of momentum and set up the equations for each dimension, taking into account the initial and final velocities of each puck.
  • #1
Painguy
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0

Homework Statement



There are 2 pucks with different masses. Puck 2 is initially at rest, and Puck 1 is moving horizontally in the positive x direction. The collision has sent the pucks off at angles θ1 and θ2 measured relative to the x-axis, along which Puck 1 initially traveled. Assume momentum is conserved for this collision and
write the conservation of momentum expression for each of the two dimensions.

Homework Equations





The Attempt at a Solution



I list out my variables.

mass
m1, m2

velocities
vix1
viy1=0

vfx1=vf1*cos(θ1)
vfy1=vf1*sin(θ1)

vix2=0
viy2=0

vfx2=vf2*cos(θ2)
vfy2=vf2*sin(θ2)

Here i set up the problem.

Pfsysx=Pisysx
m1(vf1*cos(θ1)) +m2(vf2*cos(θ2)) = m1(vix1)

Pfsysy=Pisysy
m1(vf1*sin(θ1)) +m2(vf2*sin(θ2)) = 0

does this seem right? can i go any further?
 
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  • #2
Looks good
 

1. What is a 2 dimensional collision with momentum?

A 2 dimensional collision with momentum is a type of collision between two objects in which both the magnitude and direction of momentum are considered. This means that the objects are moving in different directions before and after the collision, and the total momentum of the system is conserved.

2. How is momentum calculated in a 2 dimensional collision?

In a 2 dimensional collision, momentum is calculated by multiplying the mass of an object by its velocity in each direction. The total momentum of the system is the sum of the individual momentums of the objects involved in the collision.

3. What is the law of conservation of momentum?

The law of conservation of momentum states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision. This means that momentum is conserved, and there is no net loss or gain of momentum during a collision.

4. How do you analyze a 2 dimensional collision with momentum?

To analyze a 2 dimensional collision with momentum, you can use the principles of conservation of momentum and conservation of energy. Start by identifying the objects involved in the collision and their initial velocities. Then, use the momentum equations to calculate the final velocities and check if momentum and energy are conserved.

5. What factors can affect the outcome of a 2 dimensional collision with momentum?

The outcome of a 2 dimensional collision with momentum can be affected by various factors such as the mass, velocity, and angle of approach of the objects involved, as well as external forces acting on the system. Other factors like the elasticity of the objects and the presence of friction can also influence the final outcome of a collision.

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