How many degrees does the Moon move per day relative to the fixed stars? About how long does the Moon take to move a distance equal to its own diameter across the sky?

a) in 1 day it covers = 13.19°  b)1 hour

Explanation:

a)

Moon completes one orbit around earth in 27.3 days. This is called siderial period which is measured according to the fixed stars. In other words 360° are covered in 27.3 days.

So, in 1 day it covers = 360/27.3 = 13.19° ~ 13.2°

b)

Velocity of moon = 1.022 km/sec

Diameter of moon = 3474 km

Time taken to cover distance equal to its diameter = 3474/1.022

              = 3399.22 sec = 56.65 minutes ~ 1 hour

two charges are fixed in place on the x-axis as shown. the charge at x = 0 is negative and has magnitude q = 2 μcoulombs (1 μcoulomb = 10-6 coulombs). the charge at x = d, (d = +12 cm), is positive and has magnitude q = 4 μcoulombs. find a point x = xo along the x-axis at which the electric field is zero.

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.