Solving Elastic Collision of Blocks with Masses 12 kg and 6.8 kg

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Homework Help Overview

The discussion revolves around an elastic collision problem involving two blocks with masses of 12 kg and 6.8 kg. The first block slides down a frictionless incline from a height of 7.3 m and collides with the second block. Participants are exploring how to determine the final velocities of both blocks after the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy and momentum principles, with some attempting to derive equations for the velocities involved. Questions arise regarding the initial conditions, particularly the initial velocity of the first block and how to calculate it as it slides down the incline.

Discussion Status

There is active engagement with various approaches being suggested, including the use of energy conservation to find the initial velocity of the first block. Some participants are confirming the equations being used, while others are questioning the assumptions about initial conditions and the setup of the problem.

Contextual Notes

Participants note that no additional information is provided in the problem statement, which may limit the approaches available for solving the problem. There is also a focus on ensuring that the assumptions made about the initial conditions are valid.

anyone1979
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[SOLVED] Slide and Collide.

I need help getting started on this.

A block of mass 12 kg lies at a vertical height 7.3 m on a frictionless incline plane. It slides down the plane and collides elastically with a second block whose mass is 6.8 kg. Find the final velocities of the two blocks.

so far I got:
(1/2)M1V1^2 = (1/2)M1V2 ^2 + (1/2)M

V2 = ((M1V1^2) - (M1V1^2))/M2.

I am not sure where to start.
 
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[tex]\frac{1}{2}M_1v_0^2=\frac{1}{2}M_1v_1^2+\frac{1}{2}M_2v_2^2[/tex]

And also use conservation of momentum

[tex]M_1v_0=M_1v_1+M_2v_2[/tex]
 
Thanks.
So the initial velocity of M1 at the top is zero right?
Do I need to get the the velocity while the mass is sliding down the incline?
If so, I will need to calculate the x direction, and then use the same velocity sliding down the incline as the initial velocity until it collides right?
 
In this question nothing extra is given,so we can use just

[tex]v_0=\sqrt{2gh}[/tex]
 
Thanks, for the final equation, I got:

Vbf - Vaf = -(Vbi - Vai)

Is that right?
 

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