Two carts, labeled 1 and 2, are headed toward each other along a level track. Both carts roll without friction and the only significant horizontal forces acting on the carts are the forces that they exert on each other. Cart 1 has a mass of 2.13 kg. Before the collision it was moving to the right with a speed v1j of 1.9 m/s. Cart 2 has a mass of 3.11 kg. Before the collision it was moving to the left with a speed v2 of 1.8 m/s. These two speeds, v1¡ and v2; are measured in the laboratory reference frame (the frame in which the track is not moving). The two carts had a completely elastic collision. Calculate the velocity (in units of meters per second) of cart 1 after the collision, as measured in the laboratory frame. The positive direction points to the right, and the sign (positive or negative) of your answer is important.

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Chapter12: Relativity, Particle Physics, And Cosmology
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Problem 12P: . If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of...
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Figure 1
The positive direction
1i
2i
m1
m2
"The lab frame:"
This track is not moving.
Transcribed Image Text:Figure 1 The positive direction 1i 2i m1 m2 "The lab frame:" This track is not moving.
Two carts, labeled 1 and 2, are headed toward each other along a level
track. Both carts roll without friction and the only significant
horizontal forces acting on the carts are the forces that they exert on
each other.
Cart 1 has a mass of 2.13 kg. Before the collision it was moving to the
right with a speed v1j of 1.9 m/s.
Cart 2 has a mass of 3.11 kg. Before the collision it was moving to the
left with a speed v2j of 1.8 m/s.
These two speeds, v1j and v2; are measured in the laboratory
reference frame (the frame in which the track is not moving).
The two carts had a completely elastic collision.
Calculate the velocity (in units of meters per second) of cart 1 after the
collision, as measured in the laboratory frame. The positive direction
points to the right, and the sign (positive or negative) of your answer is
important.
Transcribed Image Text:Two carts, labeled 1 and 2, are headed toward each other along a level track. Both carts roll without friction and the only significant horizontal forces acting on the carts are the forces that they exert on each other. Cart 1 has a mass of 2.13 kg. Before the collision it was moving to the right with a speed v1j of 1.9 m/s. Cart 2 has a mass of 3.11 kg. Before the collision it was moving to the left with a speed v2j of 1.8 m/s. These two speeds, v1j and v2; are measured in the laboratory reference frame (the frame in which the track is not moving). The two carts had a completely elastic collision. Calculate the velocity (in units of meters per second) of cart 1 after the collision, as measured in the laboratory frame. The positive direction points to the right, and the sign (positive or negative) of your answer is important.
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