Two carts mounted on an air track are moving toward one another. Cart 1 has a...

Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 4.40 m/s and a mass of 0.530 kg. Cart 2 has a mass of 0.710 kg.

a) If the total momentum of the system is to be zero, what is the initial speed of cart 2?

b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero?

c) Determine the system's kinetic energy in order to substantiate your answer to part (b).

Solutions

Expert Solution

Mass of cart 1 is , Mass of cart 2 is

Initial speed of cart 1 is , Initial speed of cart is

Total momentum of the system is zero,

negative sign indicates , the direction of cart 2 is opposite to direction of cart 1.

Initial speed of cart 2 is

Kinetic energy of system

Kinetic energy cannot be equal to zero.

genius_generous answered 1 year ago

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