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

ID: 1561111 • Letter: A

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 W_s = 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 x axis, what is its kinetic energy at the end of the 2.00 m? Number Units Number Units

Explanation / Answer

a )

using equation

W = F . x

but given W = 7 J

so 7 = F X 2

F = 7/2 = 3.5 N

b )

the work done = 3.5 + 7

W = 10.5 J