Question

A 1.8 kg hammer moving at 6.0 m/s drives a nail 30mm into a board. Compute the average resistance of the board on the nail using theWork-Energy theorem.

Answer 1

Answer:

F = 1080 N

Explanation:

given,

mass of the hammer = 1.8 kg

velocity of the hammer = 6 m/s

distance into board = 30 mm = 0.03 m

to calculate average resistance force = F

kinetic energy of the hammer is equal to the work done by the hammer

$\dfrac{1}{2}mv^2 = Force\times displacement$

$\dfrac{1}{2}mv^2 = F\times d$

$\dfrac{1}{2}\times 1.8\times 6^2 = F\times 0.03$

F = 1080 N

hence, the average resistance force is equal to F = 1080 N