# Math questions

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 dont know the formula to solve them.

## The Attempt at a Solution

I cant do any attempts yet because I dont have the formulas.

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