Problem: A 0.450-kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. Assume constant acceleration of the hammer-nail pair. a. Calculate the duration of the impact.b. What was the average force exerted on the nail? 

FREE Expert Solution

Uniform accelerated motion (UAM) equations:

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

(a)

We'll solve for time using kinematics:

We have:

  • Δx = 1.00 cm(1m/100cm) = 0.01 m
  • v0 = 7.00 m/s
  • vf = 0.00 m/s
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Problem Details

A 0.450-kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. Assume constant acceleration of the hammer-nail pair. 

a. Calculate the duration of the impact.

b. What was the average force exerted on the nail?