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2     DYNAMICS

P20 007

The graph below shows the time variation of momentum for a 3.00 kg object moving in a straight line and subject to a constant retarding force. During this time, the object undergoes a collision.

(a)    What is the speed of the 3.00 kg object at time t = 3.00 s?

(b)     What is the magnitude of the retarding force acting on the ball before the collision?

(c)     At t = 6.00 s, the object collides head-on with a stationary 1.00 kg object. The two objects move off in the same direction along the straight line. What are the momenta of the two objects after the collision?

(d)     What are the speeds of the two objects immediately after the collision?

 

 

View solution below only after you have completed the answering the question.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solution

Let the 3.00 kg object be system A and the 1.00 kg object be System B

   

Impulse    

Momentum    

Impulse = Change in momentum    

(A)     System A

 

 

(B)

For System A before the collision

 

 

(C)(D)  Systems A and B:   momentum is conserved during the collision

Momentum just before collision is 6.00 kg.m.s-1.

Immediately after the collision the momentum of System A is 4.00 kg.m.s-1 and its speed is

 

 

So, the momentum of System B immediately after the collision is 2.00 kg.m.s-1  and the speed of System b is