Velocity and Momentum: Understanding the Basics

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SUMMARY

The discussion focuses on fundamental concepts of velocity and momentum in physics. It clarifies that the statement "The car rounded the corner at a constant velocity" is incorrect due to the misuse of the term 'velocity.' The second question regarding upward momentum from a table is debated, with the conclusion leaning towards false if no displacement occurs. For the third question, the impulse experienced by a 1.0 kg cart after colliding with a 3.0 kg cart is calculated as 0.75 kg m/s leftward, emphasizing the importance of understanding momentum and impulse in collisions.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity and momentum.
  • Familiarity with Newton's laws of motion.
  • Knowledge of impulse and its relation to momentum.
  • Ability to perform calculations involving kinetic energy.
NEXT STEPS
  • Study the principles of Newton's laws of motion in detail.
  • Learn about the conservation of momentum in collisions.
  • Explore the relationship between impulse and momentum in various scenarios.
  • Review calculations involving kinetic energy and its implications in physics problems.
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Students studying physics, educators teaching basic mechanics, and anyone interested in understanding the principles of velocity and momentum in real-world applications.

eraemia
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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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