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One yak, (m1) with a mass 500 kg is sitting still on a frictionless surface when...

One yak, (m1) with a mass 500 kg is sitting still on a frictionless surface when a smaller yak (m2) charges into it at a velocity of 15 m/s in a direction 30° north of west. After the two collide the smaller yak is traveling due west while the larger yak is traveling due north. The smaller yak’s final speed is twice that of the larger yak. What is (a) the mass and (b) the final speed of the smaller yak?

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Answer #1

Concept - use conservation of linear momentum separately along the coordinate axes and hence find the mass and speed of the smaller yak as shown below. Take positive Y axis along north and positive X axis along east

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