Aparticle of mass m moves in a singular central potential with v(r) = with > -lambda r^-n with n > 2. reduce the equations of motion to an equivalent one-dimensional problem and discuss the qualitative nature of the orbit for different values of the energy. for the bound orbits, show that the particle takes a finite length of time to spiral into the center of force, passing through a finite number of revolutions. can you say anything about the subsequent motion?

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

answer; how far out of place which the object finished relative to the starting location;

answer///terminator or twilight zone;