# Fig. 2.1 shows a hammer being used to drive a nail into a piece of wood. hammer head -nail wood Fig. 2.1 The mass of the hammer head is 0.15 kg. The speed of the hammer head when it hits the nail is 8.0m/s. The time for which the hammer head is in contact with the nail is 0.0015s. The hammer head stops after hitting the nail. (a) Calculate the change in momentum of the hammer head.

1 answer

###### Question:

Fig. 2.1 shows a hammer being used to drive a nail into a piece of wood.

hammer head

-nail

wood

Fig. 2.1

The mass of the hammer head is 0.15 kg.

The speed of the hammer head when it hits the nail is 8.0m/s.

The time for which the hammer head is in contact with the nail is 0.0015s.

The hammer head stops after hitting the nail.

(a) Calculate the change in momentum of the hammer head.

hammer head

-nail

wood

Fig. 2.1

The mass of the hammer head is 0.15 kg.

The speed of the hammer head when it hits the nail is 8.0m/s.

The time for which the hammer head is in contact with the nail is 0.0015s.

The hammer head stops after hitting the nail.

(a) Calculate the change in momentum of the hammer head.

## Answers

Answer:ΔP = - 1.2 NsExplanation:The change in momentum of the hammer head can be given as follows:[tex]\Delta P = P_f - P_i\\[/tex]where,ΔP = Change in Momentum = ?Pf = Final Momentum Pi - Initial MomentumTherefore,[tex]\Delta P = mv_f - mv_i\\\Delta P = m(v_f - v_i)[/tex]where,m = mass of hammer head = 0.15 kgvf = final speed of hammer = 0 m/svi = initial speed of hammer = 8 m/sTherefore,[tex]\Delta P = (0.15\ kg)(0\ m/s-8\ m/s)[/tex]ΔP = - 1.2 Ns

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