cq_1_242

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phy121

Your 'cq_1_24.2' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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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: ->->->->->->->->->->->-> :

here is what we know

steel ball: m = .6 kg, v0 = .8m/sec, vf = .5m/sec

marble: m=.2kg, v0 = 0m/sec, vf = .7m/sec

so we need to find the momentum before and after

m1v1+m2v2 is momentum before

.6kg * .8m/sec + .2kg * 0 = .48 kgm/sec

Momentum after m1v1` + m2v2` gives

.6kg * .5m/sec + .2kg * .7m/sec = .44kgm/sec

Total momentum before and after the collision are not the same

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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: ->->->->->->->->->->->-> :

To use m1v1 + m2v1 = m1v2 + m2v2 we get

.6kg * .8m/sec + .2kg * 0 = .6kg * .5m/sec + .2kg * v2`

.48 kgm/sec = .30 kgm/sec +.2kg*v2`

.2kgv2` = .18 kgm/sec

V2` = .9 m/sec

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20 minutes

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