Show that a satellite in low-Earth orbit is approximately P = C(1 + 3h/2R_E) where h is the height of the satellite, C is a constant, and R_E is the radius of the earth)
The Attempt at a Solution
I have no idea how to approach this.
A damped harmonic oscillator has mass m , spring constant k , damping force
- cv .
(a) Find the ratio of two successive maxima of the oscillations.
(b) If the oscillator has Q = 100 , how many periods will it take for the amplitude to decay to 1/ e
of it’s initial...
thanks for helping, btw. I'm just stressed because my midterm is tomorrow and I can't even do these problems from the practice test and I can't afford to fail this test or this this class. But I just can't seem to get it.
No, I wasn't confusing them. part b says
(b) If at time t = 0 the particle was at x = 0 and had velocity v_0 , find the turning points of the particle’s motion.
But I can find the turning points using U when it is maximized, as you indicated. When x=pi/b * integer. So the problem has a bunch...
Oh, I guess I was going about it wrong. I was looking at when v=0 for turning points, but I should be looking at when U is maximum.
So when x = integer multiples of pi/b. But then, why was that other stuff put in the problem about v_0? And that doesn't help me with part c.
1. A particle of mass m is constrained to move along a straight line. In a certain
region of motion near x = 0 , the force acting on the particle is F = -F_0 sin(bx) , where F_0 and b are positive constants.
(a) Find the potential energy of the particle in this region...