An air-track cart with mass m1=0.28kg and initial speed v0=0.80m/s collides with and sticks to a...

An air-track cart with mass m1=0.28kg and initial speed v0=0.80m/s collides with and sticks to a second cart that is at rest initially.

Part A

If the mass of the second cart is m2=0.53kg, how much kinetic energy is lost as a result of the collision?

Express your answer to two significant figures and include appropriate units.

Solutions

Expert Solution

Mass of the first cart = m1 = 0.28 kg

Mass of the second cart = m2 = 0.53 kg

Initial velocity of the first cart = V1 = 0.8 m/s

Initial velocity of the second cart = V2 = 0 m/s (At rest)

Velocity of the carts after the collision = V3

By conservation of linear momentum,

Initial kinetic energy of the system = KE1

Final kinetic energy of the system = KE2

Kinetic energy lost as a result of the collision = KE

A) Kinetic energy lost as a result of the collision = -0.0586 J

genius_generous answered 2 months ago

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