Velocity and Momentum: Understanding the Basics

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The discussion addresses three questions related to velocity and momentum in physics. It clarifies that a constant velocity cannot be maintained while rounding a corner due to the change in direction, indicating a misunderstanding of the term. The second question about a cup on a table receiving upward momentum is debated, with the conclusion that momentum and force are distinct concepts. For the third question, the impulse experienced by the smaller cart after a collision is calculated as the change in its momentum, emphasizing the importance of direction and signs in the calculations. Overall, the thread highlights common misconceptions about momentum and the principles governing collisions.
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Homework Statement



I have three questions:

1. "The car rounded the corner at a constant velocity." Would this statement make sense to a physicist?

2. A cup sitting on a table constantly receives upward momentum from the table, T or F?

3. Imagine that a 1.0 kg cart traveling rightward at 1.0 m/s hits a 3.0 kg cart at rest. Afterward, the smaller cart is observed to move leftward with a speed of 0.75 m/s. What impulse did the collision give the smaller cart at the expense of the larger?

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The Attempt at a Solution



1. No, the word velocity is being used incorrectly.
2. I don't know about this one. I would say true, if the compression contact interaction of the table can be considered as velocity (which is a component of momentum). False, if the table is not displacing anything, hence there is no displacement over time or velocity.
3. I don't understand the question. The collision gave the smaller car an impulse? Well, I suppose 0.75 kg m/s leftward? Or was there none?
 
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1, correct
2, No momentum and force are quite different.
3, Impulse is force * time so has units of Newton seconds ( or kg m/s )
I don't see how part 3 can be true, the initial carts has ke = 0.5 * 1 * 1^2 = 0.5J
the second cart has ke = 0.5 * 3* 0.75^2 = 0.84J unless I have made a msitake in arithmetic.
 
For part 3, impulse given to the small cart is change in momentum of the small cart... so the final momentum of the small cart - initial momentum of the small cart is what you need... careful about directions and signs.
 
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