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Can mass be offset by increase in speed/velocity?

 
 
Reply Mon 17 Oct, 2011 05:13 pm
Say two objects are headed towards each other, a small object (with a mass of 5) and a large object (with the mass of 20).
The small object as a velocity of +2, and the large object has a velocity of -2.
When the big object hits the small object, since the larger object as more momentum, it would push the smaller object back (correct?).
So, my question is, would it be possible to provide the smaller object with momentum equal to that of the larger by increasing its speed?
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Type: Question • Score: 1 • Views: 2,977 • Replies: 3
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raprap
 
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Reply Mon 17 Oct, 2011 05:36 pm
@jackdarin,
Sure

momentum =velocity*mass

Smaller object ms=5*8=40
Larger object ml=20*(-2)=-40

BTW you are less likely to err if you attach units (mass=g or kg) (velocity=cm/s or m/s) so the units of momentum is consistent (g cm/s or kg m/s)

Rap
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BillRM
 
  0  
Reply Mon 17 Oct, 2011 06:44 pm
@jackdarin,
Momentum=V*M

Energy=M*v^2

Short answer is yes indeed.

Momentum is equal when V of the smaller object is equal to 4 times the V of the larger object.

The smaller object would have 4 times the energy of the larger object at that point.

BillRM
 
  0  
Reply Mon 17 Oct, 2011 07:52 pm
@BillRM,
Damn energy is equal = 1/2*M*V^2

Ok let see when the momentum is equal the smaller object would had 2 times the energy of the larger object at that point.

How in the hell could I had forgotten that formula?
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