Question
Problem 4 (25 points) - show detailed steps Two identical balls come into a collision with...
Problem 4 (25 points) - show detailed steps Two identical balls come into a collision with a coefficient of restitution e=0.8. Before the impact, VA = 7 m's and vg = 3 m/s. Their directions are as shown. Determine the magnitude of velocity of each ball after the impact. Include the following steps in your VB solution: a) Define a coordinate system appropriately (3 pts) b) Calculate the two components of each velocity before the impact. (6 pts) c) Apply the right principle(s)/equation(s) to determine the component velocities of each ball after impact. (12 pts) VA d) Determine the magnitude of the velocity of each ball after the impact. (4 pts) 2007
Answers
solution 가 VB isy 10 VBRL MA=MB , VA = 7m/ NB= 3 m/s A 20 WAY VAL (VA) x = 7 cosso = 6.6 m/ (valy, - 7 sinzo = 2.4 m/s (UB)x, = 3 sin 20 = 1002 m/s 2.81 m)s (UB) ly - 3 cos 20 = Since y axis velocity will remain Same before & after collision in the direction of collisim VAR + VBX2 6.6 +1.02 C-0.8 - VAB 2 TVB 2 2 = 6.09 m/sBalancing momentan 6.0m - 1.02m = -(m) (VA22) + (m VBx2) VBA - Vade = 5.58 from ① & ② VBd2 = 5.58 + Vara = 6.096 - VARI => Var = 0.25 8 m/s VBX 2 = 5.838 m/s After impact VAR 70258 + 2. 9 = 2:41 m/s V Bt 5.83 + 2.8) 5.831+ = 6.47 m/s
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