Question

Two
Velcro lined air hockey disks collide with each other in a perfect
inelastic collision. If the first disk has a mass of 50.0 g and is
going 0.8 m/s to the west and the second has a mass of 60.0 g and a
velocity of 2.5 m/s to the north, what is their final
velocity?

Answer #1

Momentum along X axis and Y axis is conserved. Where +Y is towards north and +X is eastward.

So, The momentum of the first disk =

Momentum of the second disk =

If the final velocity of the connected disks is = then,

So,

The magnitude of the velocity is:

and the direction is clockwise from the west, i.e. 39.5degree anticlockwise from north. Towards the NorthWest.

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