Few random questions collision, circular orbit, trajectory, etc

In summary, the conversation covered various topics related to collisions, projectile motion, and satellite orbits. The first question discussed the fraction of initial kinetic energy that remains after a perfectly inelastic collision between two bodies. The second question explored the effect of friction and elasticity on the final velocities of two colliding bodies. The third question delved into the trajectory of a projectile, taking into account the Earth's spherically symmetric mass. Lastly, the conversation touched on the ratio of kinetic energy to potential energy for a satellite in circular orbit around its parent body.
  • #1
bgggsob
2
0
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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  • #2
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?
 
  • #3
oh this isn't actually for homework or anything and i really don't have any idea about the equations so nevermind...
 

1. What is a collision in scientific terms?

A collision is an event where two or more objects come into contact with each other and exchange energy, momentum, or both. This can result in a change in the trajectory or movement of the objects involved.

2. How is circular orbit different from elliptical orbit?

Circular orbit is a type of orbit where the object moves around another object in a circular path at a constant speed. On the other hand, an elliptical orbit is an oval-shaped path where the object moves at varying speeds and distances from the other object.

3. What factors affect the trajectory of an object?

The trajectory of an object can be affected by various factors such as the object's initial velocity, the force acting on the object, the presence of other objects, and the gravitational pull of larger objects.

4. Can a collision change the direction of an object's trajectory?

Yes, a collision can change the direction of an object's trajectory. This is because the exchange of energy and momentum during a collision can alter the object's velocity and direction of movement.

5. How can scientists predict the trajectory of an object?

Scientists can use mathematical equations and models, such as Newton's laws of motion and the laws of gravitation, to predict the trajectory of an object. They can also use data from previous observations and experiments to make more accurate predictions.

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