A particle experiences a variable force F → = 4 x i ^ + 3 y 2 j ^ in a horizontal x - y plane. Assume distance in meters and force is newton. If the particle moves from point 1 , 2 to point 2 , 3 in the x - y plane, then Kinetic Energy changes by :

Question

A particle experiences a variable force F → = 4 x i ^ + 3 y 2 j ^ in a horizontal x - y plane. Assume distance in meters and force is newton. If the particle moves from point 1 , 2 to point 2 , 3 in the x - y plane, then Kinetic Energy changes by :, 25 J, 50 J, 12 . 5 J, 0 J

MARKS App · Accepted Answer

Using Work energy theorem, Kinetic energy ∆ K E = W = ∫ 1 2 4 x d x + ∫ 2 3 3 y 2 d y = 4 x 2 2 1 2 + 3 y 3 3 2 3 = 2 × 2 2 - 2 × 1 2 + 3 2 - 2 3 = 6 + 19 = 25 Joules

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