A little red wagon with mass 7.00 kg moves in a straight line on a frictionless

Question

A little red wagon with mass 7.00 kg moves in a straight line on a frictionless horizontal surface. It has an initial speed of 4.00 m/s and then is pushed 3.0 m in the direction of the initial velocity by a force with a magnitude of 10.0 N. (a) Use the work- energy theorem to calculate the wagon's final speed. (b) Calculate the acceleration produced by the force. Use this acceleration in the kinematic relationships of Chapter 2 to calculate the wagon's final speed. Compare this result to that calculated in part (a).

Explanation / Answer

a) work done = change in kinetic energy

F*S = 0.5m*(v2^2 - v1^2)

10*3 = 0.5*7*(v2^2 - 4^2)

v2 = 4.95 m/s

b) F = ma

10 = 7*a

a = 1.428 m/s2

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