Few random questions collision, circular orbit, trajectory, etc

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SUMMARY

The discussion centers on the physics of collisions and projectile motion, specifically addressing perfectly inelastic and elastic collisions, as well as the trajectory of projectiles in a gravitational field. It establishes that in a perfectly inelastic collision, kinetic energy is not conserved, while in a perfectly elastic collision, the final velocities of two identical bodies are perpendicular. Additionally, the trajectory of a projectile is approximately parabolic, influenced by the Earth's spherical symmetry. The ratio of a satellite's kinetic energy to its potential energy in circular orbit is a constant, independent of mass and radius.

PREREQUISITES
  • Understanding of Newtonian mechanics
  • Familiarity with kinetic and potential energy concepts
  • Knowledge of elastic and inelastic collisions
  • Basic principles of projectile motion
NEXT STEPS
  • Study the equations governing elastic and inelastic collisions
  • Explore the derivation of projectile motion equations under gravitational influence
  • Research the principles of orbital mechanics, focusing on circular orbits
  • Learn about energy conservation in mechanical systems
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of collisions and projectile motion in classical mechanics.

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a body of mass m1 and speed v1 collides with a body of fmass m2 at rest. the bodies ad here; the collision is perfectly inelastic. what fraction of the initial kinetic energy remains?

a body of mass m, moving with velocity v1, strikes an ideintical body at rest, off center. friction and rolling effects are negligible. if collision is perfectly elastic, final velocities of the two bodies will be perpendicular. if the collision is not perfectly elastic, is the angle between the final velocities always less than 90 degrees, always greater than 90 degrees, or greater in some collisions, less in others?

the trajectory of a projectile (with aerodynamic drag negelcted) is only apporximately a parabola, because the acceleration due to gravity is only approximately constant, and that only for projectiles which don't travel two high or too far. a more accurate approximation is to treat the Earth as a spherically symmetic mass. given that, and still disregardinig drag, describe as precisely as possible the actual shape of a projectiles path---even projectiles which travel long distances over the earth

a satellite is in circular orbit around its parent body. the ratio of the satellits kinetic energy to its potential energy, K/Ug is a constant independent of the masses of the satellite and parent, and of the radius and velocity of the orbit. find the value of this constant (potenial energy is taken to be zero at infinite separation)
 
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You need to post homework and coursework questions like these in the appropriate Homework Help forum here on the PF, and not in the general technical forums. I've moved your question to the Intro Physics Homework Help forum.

You also need to show us the relevant equations involved, and show us your work so far before we can help you. What equations govern the motion of a satellite, for example?
 
oh this isn't actually for homework or anything and i really don't have any idea about the equations so nevermind...
 

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