Comparing Speed and Kinetic Energy in a Railroad Car Collision

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In the discussion on comparing speed and kinetic energy in a railroad car collision, participants analyze a scenario involving two railroad cars of different masses. The first question focuses on how the speed and kinetic energy of the connected cars compare to the single car before the collision, with various answer options provided. The second question addresses the relationship between mass, momentum, and kinetic energy, prompting users to derive the correct formula. The third question involves gravitational force on a new planet with different mass and radius compared to Earth. Participants are encouraged to explore their reasoning behind incorrect answers and apply relevant physics formulas to clarify their understanding.
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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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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