You have decided to spend the summer working on houses for Habitat for Humanity.

Question

You have decided to spend the summer working on houses for Habitat for Humanity. In the process of building a house, you are swinging a hammer with a mass of 1.89 kg. At one specific instant it has a height of 0.16 m above a nail and a velocity of 3.05 m/s. After this point in time, you apply no additional muscular force to the hammer. The friction force between the nail and the wood is 2114 N. How far will the nail travel into the wood when you hit it? Give your answer in millimeters (Not meters)

Explanation / Answer

It is based on energy conservation

Here Potential energy + Kinetic energy are overcoming frictional energy

MgH + 1/2.MV^2 = Fs(x)

M= mass = 1.89 kg , H = 0.16m , V = 3.05m/sec

Fs = frictional force = 2114 N . x = distance travelled by the nail

keeping all in the above equation and find for x.

x = 5.56 millimeters

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