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An air-track cart with mass m1=0.32kg and initial speed v0=0.75m/s collides with and sticks to a...

An air-track cart with mass m1=0.32kg and initial speed v0=0.75m/s collides with and sticks to a second cart that is at rest initially. If the mass of the second cart is m2=0.43kg, how much kinetic energy is lost as a result of the collision?

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Answer #1

Let the velocity of the carts after the collision is 'v'.

So, using the conservation of momentum, we can write

or,

or,

or,

The initial kinetic energy of the system was

  

and the kinetic energy of the system after the collision is  

So, lost in the kinetic energy of the system is

  

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