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n Lab 8 we investigated two types of collisions, elastic and inelastic. Assuming an inelastic collision,...

n Lab 8 we investigated two types of collisions, elastic and inelastic. Assuming an inelastic collision, cart 1 with inertia of M and velocity V collides with a stationary cart 2 with inertia of M and they stick together what is the final velocity of the two carts?

V

4V

V/2

2V
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Answer #1

Mass of cart 1 is=M

Initial Velocity of cart 1,v1=V

Mass of cart 2 is=M

Initial Velocity of cart 2,v2=0

Let final velocity of the two carts when  they stick together is vf

Total linear momentum of system before collision=Mv1+Mv2

Total linear momentum of system after collision=(M+M)vf=2Mvf

According to principal of conservation of linear momentum

Total linear momentum of system before collision=Total linear momentum of system after collision

or

Mv1+Mv2=2Mvf

MV+M(0)=2Mvf

So

vf=V/2

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