Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a mass of 0.55 kg. Cart 2 has a mass of 0.75 kg. (a) If the total momentum of the system is to be zero, what is the initial speed (in m/s) of Cart 2? (Enter a number.) Can you express the magnitude of the momentum of each cart in terms of its mass and speed? If the total momentum of the two carts is to be zero and they are traveling in opposite directions, how does the magnitude of the momentum of Cart 1 compare to the magnitude of the momentum of Cart 2? m/s (b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? O Yes O No (c) Determine the system's kinetic energy (in J) in order to substantiate your answer to part (b). (Enter a number.) Can you write an expression for the total kinetic energy of the system (both carts)? )

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a mass of 0.55 kg. Cart 2 has a mass of 0.75 kg.
(a) If the total momentum of the system is to be zero, what is the initial speed (in m/s) of Cart 2? (Enter a number.)
Can you express the magnitude of the momentum of each cart in terms of its mass and speed? If the total momentum of the two carts is to be zero and they are traveling in opposite directions, how does the magnitude of the momentum of Cart 1 compare to the
magnitude of the momentum of Cart 2? m/s
(b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero?
O Yes
O No
(c) Determine the system's kinetic energy (in J) in order to substantiate your answer to part (b). (Enter a number.)
Can you write an expression for the total kinetic energy of the system (both carts)? J
Transcribed Image Text:Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a mass of 0.55 kg. Cart 2 has a mass of 0.75 kg. (a) If the total momentum of the system is to be zero, what is the initial speed (in m/s) of Cart 2? (Enter a number.) Can you express the magnitude of the momentum of each cart in terms of its mass and speed? If the total momentum of the two carts is to be zero and they are traveling in opposite directions, how does the magnitude of the momentum of Cart 1 compare to the magnitude of the momentum of Cart 2? m/s (b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? O Yes O No (c) Determine the system's kinetic energy (in J) in order to substantiate your answer to part (b). (Enter a number.) Can you write an expression for the total kinetic energy of the system (both carts)? J
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