0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as shown above, when it collides with a second cart of undetermined mass m that is initially at rest. The magnitude of the force F of the collision as a function of time t is shown in the graph below, where t = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 2.4 m/s to the right. Assume that friction is negligible before, during, and after the collision. a) Calculate the magnitude and direction of the velocity of the 2.0 kg cart after the collision. b) Calculate the mass m of the second cart

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 9.4OQ: A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a...
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A 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as shown above, when it collides with a second cart of undetermined mass m that is initially at rest. The magnitude of the force F of the collision as a function of time t is shown in the graph below, where t = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 2.4 m/s to the right. Assume that friction is negligible before, during, and after the collision.

a) Calculate the magnitude and direction of the velocity of the 2.0 kg cart after the collision.

b) Calculate the mass m of the second cart.

 

3.0 m/s
2.0 kg
A 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as
shown above, when it collides with a second cart of undetermined mass m that is initially at rest. The
magnitude of the force Fof the collision as a function of time tis shown in the graph below, where t = 0 is
the instant of initial contact. As a result of the collision, the second cart acquires a speed of 2.4 m/s to the
right. Assume that friction is negligible before, during, and after the collision.
4,000
Force (N)
2,000
1
Time (ms)
Transcribed Image Text:3.0 m/s 2.0 kg A 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as shown above, when it collides with a second cart of undetermined mass m that is initially at rest. The magnitude of the force Fof the collision as a function of time tis shown in the graph below, where t = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 2.4 m/s to the right. Assume that friction is negligible before, during, and after the collision. 4,000 Force (N) 2,000 1 Time (ms)
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