Solve Collision Momentum: Find Speed of Pucks A & B

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SUMMARY

The discussion focuses on solving a collision momentum 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 has a mass of 0.0360 kg and is initially at rest. The conservation of momentum equations are established for both the x and y directions, leading to the need for two separate equations to find the final speeds of both pucks after the collision. The user expresses confusion about the correct approach to solving for the final velocities of puck A and puck B.

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  • Knowledge of trigonometric functions, specifically sine
  • Ability to solve linear equations
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  • Study the conservation of momentum in two dimensions
  • Learn how to resolve vectors into their components
  • Practice solving collision problems using trigonometric functions
  • Review examples of elastic and inelastic collisions
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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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