Comparing Speed and Kinetic Energy in a Railroad Car Collision

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SUMMARY

The discussion focuses on the physics of collisions and kinetic energy, specifically analyzing a scenario involving two railroad cars with differing masses. The correct answers to the posed questions are established: for the collision of the railroad cars, the speed and kinetic energy of the connected cars are less than that of the single car before the collision. For the kinetic energy of a ball with momentum, the correct relationship is identified as option c, 2(p²/m). Additionally, the gravitational force experienced on a newly discovered planet is determined to be 1000N.

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  • Knowledge of gravitational force calculations
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  • Learn the derivation of kinetic energy from momentum equations
  • Explore gravitational force variations on different celestial bodies
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Homework Statement


1.) a railroad car of mass m is moving with speed v when it collides with and connects to a second railroad car of mass 3m, initially at rest. how do the speed and kinetic energy of the connected cars compare to those of the single car of mass m before the collision.
speed/Kinetic Energy
a.)less,less​
b.)less,the same​
c.) the same, less​
d.) greater, the same​

2.) a ball of mass m and momentum p has kinetic energy equal to which of the following?
a.) 1 p2/2 m​
b.) p2/m​
c.)2 (p2/m)​
d.)1m/2p2

3.) a new planet is discovered that is twice the Earth's mass and twice the Earths radius. On the surface of this new planet, a person who weights 500N on Earth would experience a gravitational force of
a.)125N​
b.)250N​
c.)500N​
d.)1000N​

Homework Equations





The Attempt at a Solution


1 is not b
2 is not b
3 is not c
 
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What have you tried?

Where are you stuck?

Can you give any reasons as to why the listed answers are wrong?

A hint for #2: What is the formula for p? Pk\lug that formula in for p in the four choices. See if any of them result in the formula for kinetic energy.
 

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