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Remember that when dealing with collisions in 2-dimensions, momentum is conserve

ID: 1324935 • Letter: R

Question

Remember that when dealing with collisions in 2-dimensions, momentum is conserved in each dimension.
Two pucks are sliding on a frictionless tabletop. Block A (mass 4.95 kg) is moving to the East (+x direction) at 2.70 m/s. Block B (mass 5.94 kg) is moving to the North (+y direction) at 3.24 m/s. Assume the system to be both Block A and Block B. (Note: It could be useful to make a drawing of the situation.)
What is the x-component of the total momentum of the system before the collision?

What is the y-component of the total momentum of the system before the collision?

What is the x-component of the total momentum of the system after the collision?

What is the y-component of the total momentum of the system after the collision?

Explanation / Answer


since both the balls are moving at right angles to each other

momentum along east Px = mv

Px = 4.95 * 2.7   = 13.365 kgm/s----------<<<<<<Answer to PArt A

momentum along north = Py = mu

Py = 5.94 * 3.24 = 19.24 kgm/s------<<<<<<<Answer to part B

so

net momentum p^2 = px^2 + py^2

P^2 = 13.365 ^2 +19.242^2

P^2 = 549

P = MV = 23.43


speed V = 23.43/(4.95 + 5.94)

V = 2.1515 m/s ----------------answer to part C and D