Elastic Collision and Kinematic Problem

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SUMMARY

The discussion centers on a physics problem involving two balls with a mass of 0.05 kg each, where one ball slides down a 0.1 m ramp and collides with the other ball at the bottom. The key equations used include the conservation of momentum and kinematic equations for projectile motion. The velocity of Ball One at the moment of collision can be determined using energy principles, specifically calculating the potential energy converted to kinetic energy as it falls 0.1 m. The final displacement and angle of Ball Two can be derived from the initial velocity obtained from Ball One's descent.

PREREQUISITES
  • Understanding of conservation of momentum in elastic collisions
  • Knowledge of kinematic equations for projectile motion
  • Familiarity with energy conservation principles
  • Ability to solve quadratic equations
NEXT STEPS
  • Learn how to apply conservation of energy to find velocities in free fall scenarios
  • Study the derivation of kinematic equations for projectile motion
  • Explore the concept of elastic collisions and their mathematical representation
  • Practice solving problems involving multiple bodies in motion and collisions
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Students studying physics, particularly those focusing on mechanics and kinematics, as well as educators seeking to clarify concepts related to collisions and energy conservation.

22flakes
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Homework Statement


A .1 m ramp is sitting at the edge of a horizontal surface that is 1 m from the ground. One ball is resting at the top of a ramp and another ball is resting at the bottom of the ramp where it is flattened. Each ball has a mass of .05 kg. Ball one is released and hits ball two. Find the displacement of ball two and the angle that it makes relative to the starting position. The starting position is at angle 0 degrees.


Homework Equations


When VB, i=0
VA, f = [(mA - mB)/(mA + mB)]VA, i
VB, f = [2ma/(mA + mB)]Va, i
R=[(Vi^2sin2(theta))/g]
y= Viy - gt

The Attempt at a Solution



I know that I have to find the VA in order to get VB, but if I try to solve for those velocities, I end up with 0. VA, i is 0, and when plugged in it gives the final velocities at 0. I thought about trying to use the variables and cancel out somehow, but that didn't lead me anywhere.

I know that when the balls are both in free fall they'll have a constant velocity because of gravity, but time isn't given. I also tried to figure out a way to find t through other equations and plug it in, but I couldn't find a way.

I also don't know how to find the final angle.

I appreciate all help.
 
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22flakes said:

Homework Statement


A .1 m ramp is sitting at the edge of a horizontal surface that is 1 m from the ground. One ball is resting at the top of a ramp and another ball is resting at the bottom of the ramp where it is flattened. Each ball has a mass of .05 kg. Ball one is released and hits ball two. Find the displacement of ball two and the angle that it makes relative to the starting position. The starting position is at angle 0 degrees.

I'm not sure I understand the physical set up. Am I right that Ball One slides down an incline from a height of 0.1 m and then strikes Ball Two horizontally?

If so, to get the speed of Ball One at the moment of the collision, you want to find the velocity of a body that falls from rest for a distance of 0.1 m. Do you know how to do that? Have you worked with the fact that energy is a state function?

Is my reasoning for this clear?
 
Fewmet said:
I'm not sure I understand the physical set up. Am I right that Ball One slides down an incline from a height of 0.1 m and then strikes Ball Two horizontally?

If so, to get the speed of Ball One at the moment of the collision, you want to find the velocity of a body that falls from rest for a distance of 0.1 m. Do you know how to do that? Have you worked with the fact that energy is a state function?

Is my reasoning for this clear?

Yes, that's right. Thank you, the problem makes more sense to me. I'll try to tackle the problem again.
 

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