W=Energy (kinetic i think)
E=m(0)xc^2x(1-v^2/c^2)^-0.5
=9.109×10^-31x(3x10^8)^2x((1-0.98^2)^0.5-1)
=4.1197x10^-13J
Edit: Forgot two negative signs...
Since each moon orbits the same planet, M_planet is the same for each of them. Orbital velocity is independent of the mass of the orbiting object. Since each moon has the same orbital velocity, they all have THE SAME ORBITAL RADII, i.e. the ratio is 1:1:1. This is because Kepler's formula (on the data sheet) is r^3/T^2 = G*M_planet / 4*pi^2. Note: equal orbital velocities mean equal orbital periods (T), which is the time it takes for one complete orbit.Question:
3 moons, X, Y and Z are in orbit around the same planet. The moons have identical orbital speeds, but masses of M, 9M and 25M respectively. Determine the ratio of their orbital radii and justify your answer.
I think you forgot to halve it
But correct process
Here is one my tutor students struggled with in their examination
New Question: (There was a diagram to go with it, but it makes sense without it)
Two clocks are started simultaneously.
A rocketship instantaneously accelerates to 0.6c as the clocks are started.
At the instant in time that the observer on the ground measures the rocketship to have travelled 5.4x10^10m, how much time has the observer in the rocketship seen elapse on the clock on the ground?
huh?, isn't there a formula?@astro cx60x60x24x365
what topic is that under? (dont remember being in the core)how do u calculate the distance to proxima centauri using parallax?
it is astrophysics optionwhat topic is that under? (dont remember being in the core)
q2q is useful for most uni physics, astro isn't really.ohh i see, astrophysics seems interesting, but Q2Q still the boss