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
[tex]\dfrac{1}{2}mv^2 = Force\times displacement[/tex]
[tex]\dfrac{1}{2}mv^2 = F\times d[/tex]
[tex]\dfrac{1}{2}\times 1.8\times 6^2 = F\times 0.03[/tex]
F = 1080 N
hence, the average resistance force is equal to F = 1080 N
