A sledgehammer of mass m = 1.9 kg falls freely vertically downward from a height of h = 2.5 m at an initial speed of v = 6.5 m/s before striking a partially buried piling. After the blow the piling has moved d = 0.075 m deeper. How much force, in newtons, was applied to the piling?
A sledgehammer of mass m = 1.9 kg falls freely vertically downward from a height of h = 2.5 m at an initial speed of v = 6.5 m/s before striking a partially buried piling. After the blow the piling has moved d = 0.075 m deeper. How much force, in newtons, was applied to the piling? Assume all the energy goes towards driving the piling into the ground, and the force of the sledgehammer is constant over the distance d that the piling is driven into the ground. Note that you can ignore the change in potential energy of the piling itself. Further, because d is so small compared to h, you can also ignore the change in potential energy of the hammer as well as it moves distance d.
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