Question

JOM 10 Consider dropping a baseball from rest at an alti- wide of 300 m. Assume that the baseball has a drag coef- ficient of 0.3, a mass of 0.145 kg, and a radius of 3.7 cm (roughly the real values for a baseball). (a) What is the terminal speed vy of this baseball? (b) Calculate the characteristic time t, = V/. (c) Set up the Newton application to model this situa- tion. Let's agree that the ball has essentially reached its terminal velocity when its acceleration falls below 12/20. About how long must the baseball fall to reach terminal velocity according to this criterion? Express your answer as a multiple of the characteristic time to. (Hints: Equation N9.17 might be helpful as you set up the program. A time step of 0.1 s works pretty well.)

Answer 1

Som: H=300m, Col = 0.3, m = 0.145kg, 7 = 3.70m ↑ Fd Ting indo 2xUS X9.8 When tominal vel is achieved, Fd- og = IC SAVE = mg - VT=2mg forto V CSA V7= 1/2x0145 x 9.8 10:3x1:29x5x0.037)2 IVT= 41.32 mls | 1B) te= VI = 41.32 = 4.2173. 909680 ty=4.217 5.

Solny K=5.74x10-3 ma= mg - Fd K a=g- (CPA) v2 when a= man as = 9 - 5.74X10-3 v2 5.74X10-3v2 - 199 V=40.27 mle. a= g-kv2 20 Now, at = 9-kv2 jau yra Jdt at 40.27 when v=0,0=0 e Veu0.27 ms. Since= 400270 5.74x10-3 9.8 @=77.06 7.06. Let v= g since 9-1 V2 = g corro dva velo do. it has secondo a thig [en (sco84 lands]." tvalda Saurio's (2-177-03 [t=9.179 s. 2.177. X5.74610-3 It=2.177 tr