Four balls collide and stick together as shown. What is the final velocity of the set given the masses and velocities before colliding are: Ball Mass Initial Velocity 1 2.5 kg 2 1.5 kg 2 m/s 1 m/s 3 0.97 kg -0.37 m/s 4 0.94 kg -0.44 m/s 2 3 4 1 2

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Chapter1: Units, Trigonometry. And Vectors
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Four balls collide and stick together as shown. What is the final velocity of the set given the masses and velocities before colliding are:
Ball Mass Initial Velocity
1 2.5 kg
2 m/s
2
1.5 kg
1 m/s
3 0.97 kg
-0.37 m/s
4 0.94 kg
-0.44 m/s
4
1
2
3
4
Transcribed Image Text:Four balls collide and stick together as shown. What is the final velocity of the set given the masses and velocities before colliding are: Ball Mass Initial Velocity 1 2.5 kg 2 m/s 2 1.5 kg 1 m/s 3 0.97 kg -0.37 m/s 4 0.94 kg -0.44 m/s 4 1 2 3 4
Expert Solution
Step 1

Given masses and their velocities are:

m1 =2.5 kg;   v1= 2 m/sm2 =1.5 kg;   v2 = 1 m/sm3 =0.97 kg;  v3= -0.37 m/sm4 = 0.94 kg; v4= -0.44 m/s

By the law of conservation of momentum Total momentum before collision equals total momentum after collision

as all the masses stick together during collision so :

m1v1+m2v2+m3v3+m4v4 = (m1+m2+m3+m4)v 

 

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