A swift blow with the hand can break a pine board. As the hand hits the board, t

Question

A swift blow with the hand can break a pine board. As the hand hits the board, the kinetic energy of the hand is transformed into elastic potential energy of the bending board; if the board bends far enough, it breaks. Applying a force to the center of a particular pine board deflects the center of the board by a distance that increases in proportion to the force. Ultimately the board breaks at an applied force of 790 and a deflection of 1.1 .
A) To break the board with a blow from the hand, how fast must the hand be moving? Use 0.50 for the mass of the hand.
B) If the hand is moving this fast and comes to rest in a distance of 1.1 , what is the average force on the hand?

Explanation / Answer

The work done against the board when it breaks = F x d = (870)(1.5E-2) = 13.05 J A hand of mass = 0.50 kg must have the same energy in order to break board: 1/2mV

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