Solving Two Falling Spheres Homework Statement

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Homework Help Overview

The problem involves two spheres of different masses falling from a height and colliding elastically with the ground and each other. The goal is to determine the maximum height that the center of the upper sphere rises after the collisions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss calculating the velocity of the lower mass just before and after it collides with the ground. There is uncertainty about how to initiate the problem and what steps to take next.

Discussion Status

Some participants are exploring the necessary calculations for velocity and considering the implications of elastic collisions. Guidance has been offered regarding the specific velocities to consider, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are navigating the problem with limited initial ideas and are seeking clarification on the definitions of velocity in the context of the problem.

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Homework Statement



Two spheres of mass M1 and M2 are arranged one above the other as shown. They are separated by a fraction of a mm. They are released from rest and allowed to fall to the ground, a distance h = 6.5 m below. Mass M2 collides elastically with the ground and then elastically with mass M1. Calculate the maximum height the center of M1 rises above the ground after the collision. D = 20 cm, d = 5 cm, M1 = 0.13 kg, M2 = 2.00 kg.

1-8.png


Homework Equations



P = mv

The Attempt at a Solution



I have no ideas how to start on this problem. Any guide?
 
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I know one more thing is:

Pf = I + Pi

should I calculate the v first? Any ideas?
 
As a start, try answering these two questions:

1. What is the velocity of M2, just before it hits the ground?

2. Using the answer to #1, what is the velocity of M2 just after it collides elastically with the ground?

Note: my questions ask for velocity, not speed. You need to pay attention to direction and whether the velocity is positive or negative.
 
Got it! Thanks for your help ;)
 

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