15) A student drives a nail 1 cm into thewall after perfectly striking it with a

Question

15) A student drives a nail 1 cm into thewall after perfectly striking it with a hammer. A second studentsteps

up and hits the same nail with the samehammer but this time strikes it with twice the velocity as thefirst

student. Assuming the nail isn't drivenall the way into the wall and that it doesn't get any harder todrive

the nail into the wall with distance(frictional force on the nail is constant), how much further intothe wall

did the second student drive thenail?

A) 1 cm

B) 2 cm

C) 4 cm

D) 0.5 cm

E) 3 cm

Explanation / Answer

The work done on the nail is proportional to distance andproportional to velocity squared. . So the distance is prop to velocity squared. . The second student hits the nail with 2 times the velocity, sothe distance is 22 = 4 timesgreater or .           4cm

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