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A particle of mass m is moving in the xy - plane such that its velocity at a poin t (x, y) is given as ) y ˆ x 2 x ˆ y ( v    , where  is a non - zero constant. What is the force F acting on the particle?

1. ) y ˆ y x ˆ x ( m 2 F 2   
2. ) y ˆ x 2 x ˆ y ( m F 2   
3. ) y ˆ x x ˆ y ( m 2 F 2   
4. ) y ˆ y 2 x ˆ x ( m F 2   

Correct answer: ) y ˆ y x ˆ x ( m 2 F 2   

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