Question

In: Physics

Now consider the collision represented in the animation below. Let's assume that the two balls are...

Now consider the collision represented in the animation below. Let's assume that the two balls are sliding on a frictionless, horizontal surface. Do not assume that this collision is elastic (though it might be). Here's what's given:

The direction of +x is to the right.The blue ball has twice the mass of the red. Let's make them mb = 2 kg and mr = 1 kg.

The red ball is initially stationary.

The initial velocity of the blue ball, vbi, is 6 m/s, and its final velocity, vbf, is 2 m/s.

1)Find the final velocity, vrf, of the red ball, in meters per second. Enter only a single number (without units) before submitting. If your answer isn't an integer, you've made a mistake somewhere ! 2)The principle that I used to get the answer to the previous question was conservation of ... 3)

the initial KE of the system (both balls) in this problem is: (give answer and show/explain how you got it) 4)

The final KE of the system (both balls) in this problem is: (give answer and show/explain how you got it) 5) was the collision elastic?

Solutions

Expert Solution

Mass of red ball .mr =1kg

Initial velocity of red ball ,vri =0m/s

Mass of blue ball .mb =2kg

Initial velocity of blue ball ,vbi =6m/s

Final velocity of blue ball ,vbf =2m/s

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Momentum is conserved

Momentum before collision =Momentum after Collision

(1) ANSWER: 8

=====================

(2) ANSWER: Momentum

====================

(3) Initial Kinetic Energy ,

ANSWER:

============

(4) Final Kinetic Energy ,

ANSWER:

============

(5) Initial Kinetic energy is equal to final kinetic energy

so Kinetic enrgy is conserved

ANSWER: Yes,Collision was elastic

===========================


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