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Question

A 1000kg automobile is moving along a straight highway at 10m/s. Another car with mass 2000kg is moving at speed 20m/s at a distance of 30m ahead of the first car.
Find the total momentum, using the velocity of the center of mass, compare your result with that of part.

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Solution

Momentum of the car - A=M_{A} V_{A}$
PA=(1000)10=104 kg m/s
Momentum of car -B=MBVB
PB=(2000)(20)=82×104 kg m/s
Total momentum =PAPB=3×104 kg m/s
Velocity of COM=MAVA+MBMBMAMB
VCOM=(10)(1000)(20)(2000)1000+2000
VCOM=10 m/s
Total momentum=Msystem×VCOM
=3000×10=3×104kg m/s
Hence compared






























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