A can of bolts and nuts is pushed 2.00 m along an x axis by a broom along the gr

Question

A can of bolts and nuts is pushed 2.00 m along an x axis by a broom along the greasy (frictionless) floor of a car repair shop in a version of shuffleboard. The figure gives the work W done on the can by the constant horizontal force from the broom, versus the can's position x. The scale of the figure's vertical axis is set by Ws = 7 J. (a) What is the magnitude of that force? (b) If the can had an initial kinetic energy of 3 J, moving in the positive direction of the xaxis, what is its kinetic energy at the end of the 2.00 m?

Explanation / Answer

a) Work = F x

force F =   7 J / 2.0 m

magnitude of force = 3.5 N

b) work done is the increase in KE

= Ki + Ws

= 3.00 + 7.00 = 10 J

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