please help show working for 5 and 6. answers are already there ** Use the follo
ID: 2075510 • Letter: P
Question
please help show working for 5 and 6. answers are already there **
Use the following information for questions 5-8: A 4.8 kg mass is on a horizontal frictionless track and moves with velocity v = 36 m/s i, and at some instant it is at location r = -5mi - 2mk. Shortly after that, the 4.0kg mass hits a 2.0kg mass. Both masses continue on the track, which makes a circular loop of radius 2.0m. The center of the loop is the origin of the coordinate system. This is shown in the figure: At the instant described above, what is L measured around the center of the loop? (a) 144 kg m^2/s i (b) *** -288 kg m^2/s j (c) 432 kg m^2/s k (d) -576 kg m^2/s i (e) 720 kg m^2/s i After the collision the 4.0kg mass travels with a velocity of 12 ms/s i. What is the velocity of the 2.0kg mass? (a) 12 m/s i (b) 24 m/s i (c) *** 48 m/s i (d) 96 m/s i (e) This cannot be determined with the information provided.Explanation / Answer
5)
Total linear momentum p^ = 4*36 i^ +2.0 = 144 kg-m/s i^
angular momentum L^ = r^ X p^ = -2.0 k^ X 144 i^
= -288 j^ kg-m2 /s
6) initial momentum = 4*36 i^ = 144 i^
momentum of 4-kg mass after collision = 4*12 i^ = 48 i^ kg-m/s
momentum of 2-kg mass = 144 i^ - 48 i^ = 96 i^
velocity of 2-kg mass = 96 i^ /2 = 48 m/s i^
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