cq_1_242

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PHY 201

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A steel ball of mass 60 grams, moving at 80 cm / sec, collides with a stationary marble of mass 20 grams.  As a result of the collision the steel ball slows to 50 cm / sec and the marble speeds up to 70 cm / sec. 

• Is the total momentum of the system after collision the same as the total momentum before? 

answer/question/discussion: ->->->->->->->->->->->-> :

mAvA + mBvB = mAv'A + mAv'B

.06kg(.8 m/s) + .02kg(0 m/s) = .06kg(.5 m/s) + .02kg(.7 m/s)

.048 kg*m/s + 0 kg*m/s = .03 kg*m/s + .014 kg*m/s

.048 kg*m/s > .044 kg*m/s

The total momentum of the system after the collision is NOT the same as the momentum before.

 

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• What would the marble velocity have to be in order to exactly conserve momentum, assuming the steel ball's velocities to be accurate?

answer/question/discussion: ->->->->->->->->->->->-> :

 .048 kg*m/s = .03kg*m/s + .02kg(v'B)

.018 kg*m/s = .02kg(v'B)

v'B = 90 cm/s

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7 mins

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&#Very good responses. Let me know if you have questions. &#