A and B please!! (9%) Problem 3: A hammer of mass 0.445 kg is moving horizontall

Question

A and B please!! (9%) Problem 3: A hammer of mass 0.445 kg is moving horizontally at a velocity of v-45 ms when it strikes a nail and comes to rest after driving the nail a distance 0.95 cm into a board. 33% Part (a) What is the duration of the impact, assuming the acceleration is constant during this time period in terms of the given variables? Grade Summary Deductions 0% Potential 100% Ar= (00031 - pleted pleted 7 | 8 | 9 | HOME Submissions 5x 1(1 2 Attempts remaining (0% per attempt) detailed view J 1 2 3 0. END VO BACKSPACEEL CLEAR mpleted mpleted mpleted mpleted Hint I give up Feedback: 0% deduction per feedback. | | Hintst-deduction per hint. Hints remaining: | ompleted 33% Part (b) what was the average force exerted on the nail, in terms of the mass, initial velocity, and distance traveled?

Explanation / Answer

initial velocity vox = 4.5 m/s

final velocity v1x = 0

displacement dx = 0.95 cm = 0.0095 m

from equation of motion

dx = (v1x + vox)*t/2

0.0095 = (0 + 4.5)*t/2

dt = 0.00422 s <<<<----ANSWER

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part b

average force F = m*ax

from equation of motion

v1x^2 - vox^2 = 2*ax*dx

0 - v^2 = 2*ax*dx

ax = -v^2/(2*dx)

F = -m*v^2/(2*dx)

magnitude of force F = m*v^2/(2*dx)

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