Practice Problems 12: Impulse, Collisions Begin Date: 10/5/2016 12:00:00 AM Due

Question

Practice Problems 12: Impulse, Collisions Begin Date: 10/5/2016 12:00:00 AM Due Date: 5/4/2017 12:00:00 AM End Date: 5/4/2017 12:00:00 AAM (9%) Problem 3: A batter hits a baseball m 0.49 kg from rest with a force of F 78 N, The ball is in contact with the bat for t 0.28 s. It is observed that the ball leaves the bat with an angle of 0 24 degrees with respect to the horizontal Otheexpertta.com 50% Part (a) IIow long was the ball in the air if it was hit from the top of a cliff with a height of h 71 m. Grade Summary Deductions Potential 92% sind) cos() tano 7 8 9 HOME Submissions Attempts remaining: 1 4 5 6 cotano asin() acoS (4% per attempt 1 2 3 detailed view at ano acotano sinh() 4% cosho tanh() cotanho 4% vo BACKSPACE CLEAR Degrees Radians Submit Hint I give up! Ilints: 4% ded ction per hint. IIints rem laillllig 7 Feedback 5% deduction per feedback. A 50% Part (b) IIow far did the ball travel horizontally in meters? All content 2017 Expert TA, LLC

Explanation / Answer

Start with impulse: Ft = mv
78N * 0.28s = 0.49kg * v v = 44.57 m/s
So Vx = 44.57m/s * cos24º = 40.71 m/s
and Vy = 44.57m/s * sin24º = 18.12 m/s

(a) vertically: s = So + Vo*t + ½at²
0 = 71 + 18.27t - 4.9t²
is quadratic with solutions at t = -2.37 s, 6.10 s take positive root
t = 6 s (to 1 significant digit)

(b) d = Vx*t = 4071m/s * 6s = 244.26 m 244 m

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