Calculate the distance traveled by the second cart during the 5.0 s interval after the collision. 3.0 m/s2.0 kgA 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, asshown above, when it collides with a second cart of undetermined mass m that is initially at rest. Themagnitude of the force Fof the collision as a function of time tis shown in the graph below, where t= 0 isthe instant of initial contact. As a result of the collision, the second cart acquires a speed of 2.4 m/s to theright. Assume that friction is negligible before, during, and after the collision.4,000Force (N)2,00012Time (ms) After the collision, the second cart eventually experiences a ramp, which it traverses with no frictionallosses. The graph below shows the speed v of the second cart as a function of time t for the next 5.0 s,where t = 0 is now the instant at which the carts separate.2.0Speed v (m/s)1.0Time (s)

Name: Calculate the distance traveled by the second cart during the 5.0 s in
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Description: Calculate the distance traveled by the second cart during the 5.0 s interval after the collision. 3.0 m/s2.0 kgA 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, asshown above, when it collides w

Label the velocity time graph and split the area under the curve into simple polygons.

Answered: As a result of the collision, the…

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As a result of the collision, the second cart acquires a speed of 2.4 m/s

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Concept explainers

Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!

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Question

Calculate the distance traveled by the second cart during the 5.0 s interval after the collision.

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
2
Time (ms)

After the collision, the second cart eventually experiences a ramp, which it traverses with no frictional
losses. The graph below shows the speed v of the second cart as a function of time t for the next 5.0 s,
where t = 0 is now the instant at which the carts separate.
2.0
Speed v (m/s)
1.0
Time (s)

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