The collision between a hammer and a nail can be considered to be approximately elastic. estimate the kinetic energy acquired by a 13 g nail when it is struck by a 550 g hammer moving with an initial speed of 4.6 m/s.

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grav forces affect all objects magnetic forces affect magnetic objects and electric currents

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach