2.3. A train car is sitting on a level track when a second car moves in. The second car hits the first, their hitches engage, and they move together. Both cars have equal masses of about 120 000 kg, and the second car initially has a velocity of 1.5 m/s. (a) Draw a diagram that illustrates the situation and include an arrow representing the velocity vector of the second car and a separate arrow representing î, the unit vector for the coordinate system along the tracks. (b) Write vector expressions for both the velocity and momentum of the second car using at least two forms of vector notation that have been covered in class. (c) Just before the collision, what is the velocity of the center of mass of the system that includes both cars? Again, express this as a vector. (d) Just before the collision, what is the total kinetic energy of the system that includes both cars?

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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Problem 47P: A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which...
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2.3. A train car is sitting on a level track when a second car moves in. The second car hits the
first, their hitches engage, and they move together. Both cars have equal masses of about
120 000 kg, and the second car initially has a velocity of 1.5 m/s.
(a) Draw a diagram that illustrates the situation and include an arrow representing the
velocity vector of the second car and a separate arrow representing , the unit vector for
the coordinate system along the tracks.
(b) Write vector expressions for both the velocity and momentum of the second car using at
least two forms of vector notation that have been covered in class.
(c) Just before the collision, what is the velocity of the center of mass of the system that
includes both cars? Again, express this as a vector.
(d) Just before the collision, what is the total kinetic energy of the system that includes both
cars?
Transcribed Image Text:2.3. A train car is sitting on a level track when a second car moves in. The second car hits the first, their hitches engage, and they move together. Both cars have equal masses of about 120 000 kg, and the second car initially has a velocity of 1.5 m/s. (a) Draw a diagram that illustrates the situation and include an arrow representing the velocity vector of the second car and a separate arrow representing , the unit vector for the coordinate system along the tracks. (b) Write vector expressions for both the velocity and momentum of the second car using at least two forms of vector notation that have been covered in class. (c) Just before the collision, what is the velocity of the center of mass of the system that includes both cars? Again, express this as a vector. (d) Just before the collision, what is the total kinetic energy of the system that includes both cars?
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