Bob can throw a 500 g rock with a speed of 30 m/s. He moves his hand forward 1.0 m while doing so.
How much work does Bob do on the rock?
Work done = change in kinetic energy You're given final speed, and can assume initial speed is zero.
Work done=final kinetiç energy-initial kinetic energy
Kinetic energy=0.5mv^2
Technically should use this formula so that you can take into account the movement of your hand. \[W = Fs = mas = ms \frac{ v-u }{ t }\] Where s is the distance the force is applied. Assume u = 0 m/s
actually you aren't given the time here. so looks like the KE formula will need to be used.
Distance shouldn't matter. It would take less force to accelerate it over a larger distance, and more force to accelerate it over a smaller distance. The work done is the same regardless, since the change in KE is the same. It'd just take more power with less time.
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