Solve Collision Momentum: Find Speed of Pucks A & B

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AI Thread Summary
The discussion focuses on solving a momentum collision problem involving two pucks on an air-hockey table. Puck A, with a mass of 0.0180 kg and an initial velocity of +7.71 m/s, collides with puck B, which is at rest and has a mass of 0.0360 kg. Participants emphasize the need to apply conservation of momentum in both the x and y directions to find the final speeds of both pucks after the collision. Confusion arises regarding the correct equations to use, particularly in differentiating the final velocities of the two pucks. The conversation highlights the importance of setting up separate equations for momentum conservation in each direction to accurately solve for the speeds.
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Homework Statement


The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.0180 kg and is moving along the x-axis with a velocity of +7.71 m/s. It makes a collision with puck B, which has a mass of 0.0360 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the speed of (a) puck A and (b) puck B.
http://edugen.wileyplus.com/edugen/courses/crs2216/art/qb/qu/c07/ch07p_30.gif


Homework Equations


m1vf1x+m2vf2x = m1vo1+m2vo2

0 = Mf1V1sin(65) - M2Vf2sin(37)

M1 = .0180
M2 = .0360
Vo1 = 7.71
Vo0 = 0

The Attempt at a Solution



.018(v)+.036(v) = .018(7.71)
.054v = .13878
v = 2.57. (Terribly wrong)

.018(Vf1)sin(65) - .036(Vf2)sin(37)

My problem is I'm getting so confused as to what I am solving for. I mean, I know I'm solving for the final speeds of puck A and puck B but I'm confused as to how to get there. I'm just plan lost.
 
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hi neoncrazy101! :smile:
neoncrazy101 said:
.018(v)+.036(v) = .018(7.71)
.054v = .13878
v = 2.57. (Terribly wrong)

but your two vs are different

also, momentum is conserved in both the x direction and the y direction, so you need an equation for each :wink:
 
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