Universal Gravitation and spheres

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SUMMARY

The discussion focuses on calculating the final velocities of two spheres under the influence of universal gravitation. Sphere 1 has a mass of M and radius R, while Sphere 2 has a mass of 2M and radius 3R, initially separated by a distance of 12R. By applying the conservation of energy principle, potential energy is equated to kinetic energy, and conservation of momentum is utilized to derive the relationship between the final velocities V1f and V2f. The solution requires setting up the equations based on gravitational force and momentum conservation.

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klopez
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Two spheres are released from rest when the distance between their centers is 12R. Sphere 1 has mass M and radii R while sphere 2 has mass 2M and radii 3R. How fast will each sphere be moving when they collide? Assume that the two spheres interact only with each other. (Use G for gravitational constant, and M and R as necessary.)

I need to find the symbolic answer for V1f and V2f, I have no clue, please help...due in an hour. Thanks
 
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Use potential energy. Equate it to final kinetic energy. Use conservation of momentum to figure the ratio of V1f to V2f. You have 1hr, go. If you start showing some work, people will help you even more.
 

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