At a particular point in orbit, a satellite in an elliptical orbit has a gravitational potential energy of 5200 mj with respect to earth's surface and kinetic energy of 4800 mj. later in its orbit, the satellite's potential energy is 6000 mj. use conservation of energy to find its kinetic energy at that point.

Final kinetic energy,

Explanation:

It is given that,

Initial gravitational potential energy of the satellite,

Initial kinetic energy of the satellite,        

Final gravitational potential energy of the satellite,

Let is the final kinetic energy of the satellite at that point. Using the conservation of energy to find it as the energy of the satellite remains constant.

So, the final kinetic energy of the satellite at that point is 4000 MJ. Hence, this is the required solution.                  

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.