Find the Formulas to Solve Homework Questions

[2odd]

Can anyone give me the formula or equation so I can solve each of these?

Homework Statement

Question #1
Suppose the Sun is located 7.4 kiloparsecs from the center of the Milky Way galaxy, and that it orbits the galaxy at a velocity of 240 km/sec. Estimate the mass of the galaxy interior to the Sun's orbit, converted to solar masses.

____solarmasses

Question #2
A new distant galaxy is discovered which shows a redshift corresponding to a recession velocity of 4429.0 kilometers/second. Using Hubble's Law, and a value of H = 72 km/s per Mpc, what is the distance to the new galaxy in megaparsecs?

____Mpc

Question #3
Find the invariant spacetime interval for a particle that travels sideways (in the x-direction only) a distance of 1000 kilometers in 0.1 seconds.

____meters

Question #4
What is the Schwartzschild radius of a typical stellar remnant black hole with a mass of 18.57 solar masses?

____meters

Question #5
What is the time required for a black hole with a mass of 5.13 x 1029 kilograms to evaporate by Hawking Radiation?

____years

Question #6
What is the temperature of a typical stellar remnant black hole with a mass of 16.32 solar masses?

____Kelvins

Homework Equations

I don't know the formula to solve them.

The Attempt at a Solution

I can't do any attempts yet because I don't have the formulas.

 

[CompuChip]

Well, you could start by making an attempt to locate the formulas you need in your textbook or class notes.

For the first one, you could use the approximation which says that for the orbit to be stable and circular, the centripetal force needs to be equal to the gravitational force. Find the formulas for those and equate them.

For the next questions, all you need to do is look up Hubble's law, the formula for spacetime interval, Schwarzschild radius, and so on.

Certainly your professor doesn't expect you to figure this out all by yourself... don't you have a textbook?