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15 J of work were expended moving an 18 kg block. At what velocity did the block move?

A 1.3 m/s

To solve for velocity, you should use the formula W = KE, where Work = W, and Kinetic Energy = KE. This is because any work that is done to accelerate an object is converted to the kinetic energy of that object (the work-energy theorem). So, \(W= \frac{\mathrm{1} }{\mathrm{2} }m v^2 \). Plugging in the block's weight (18 kg) and the work done (15 J) will give you a velocity of 1.3 m/s.