Question

(6%) Problem 13: A hammer of mass m = 0.465 kg is moving horizontally at a velocity of v = 45 m/s when it strikes a nail and comes to rest after driving the nail a distance Ax 1.05 cm into a board 335 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 Are Potential 100% Deductions 05 B Ax d ( 9 0 7 4 a 8 5 2 6 Submissions Attempts remaining 2 (I per attempt detailed view h 1 3 8 k S m P + . 0 Vok V Submit Hits: 103 deduction per himt. Hints remaining 2 Feedback: 33% Purt (b) What was the average force exerted on the nail, in terms of the mass, initial velocity, and distance traveled? 335 Part(e) What was the average force, in newtons, exerted on the nail? Alpen TA, LLC

Answer 1

solution) M 0.465kg V=4.5 m/s Ax=1.05 cm 1.05x102m (a) ot=? W² = V + 2 a 4x 2 we have f (4.5)² + 2a (1.05x102) - (4.3)2 (1.05x163) -964.3 m/s² 4.5 VA = Votat - Vota (at) o 4.5+ (-964-3) (st) = st = -0.0046 s 964.3 let = 0.0046 Pavg = ? Farg = (b) st MAV st st=AX To mNo) (v.) Дх AV Farga [Farg = m (v.)2 454.89 N a Paug = ? Fargement me Farg = (0.418) Cour) [Farg = 455/N