Question

Determine the maximum radius Earth's Moon would have to have in
order for it to be a black hole. Mass of Moon is
7.36×10^{22}kg.

Answer #1

n order better to map the surface features of the Moon, a 311 kg
imaging satellite is put into circular orbit around the Moon at an
altitude of 133 km. Calculate the satellite's kinetic energy,
gravitational potential energy, and total orbital energy. The
radius and mass of the Moon are 1740 km and 7.36×1022 kg.

A satellite circles the earth in an orbit whose radius is 3.14
times the earth's radius. The earth's mass is 5.98 x
1024 kg, and its radius is 6.38 x 106 m. What
is the period of the satellite?
Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 44.6 km/s and 59.9 km/s. The slower
planet's orbital period is 8.88 years. (a)...

A. At what altitude above the Earth's surface would a satellite
have to be for it’s orbital period to be equal to 24 hours? Assume
the satellite is in a circular orbit. Assume a spherical, uniform
density for the Earth. The Earth's mass 5.98 x 10 raised to 24kg.
The Earth's radius is 6380 km B. Why would a satellite in such an
orbit be a useful thing?

Astronomers have observed a small, massive object at the center
of our Milky Way galaxy. A ring of material orbits this massive
object; the ring has a diameter of about 10 light years and an
orbital speed of about 110 km/s .
a) Determine the mass of the massive object at the center of the
Milky Way galaxy. Give your answer in kilograms.
b) Give your answer in solar masses (one solar mass is the mass
of the sun).
c)...

Suppose that you have found a way to convert the rest energy of
any type of matter directly to usable energy with an efficiency of
49.0%. How many liters of water would be sufficient fuel to very
slowly push the Moon 1.90 mm away from the Earth? The density of
water is ?water=1.00kg/liter, the Earth's mass is
?earth=5.97×1024 kg, the Moon's mass is
?moon=7.36×1022 kg, and the separation of the Earth and
Moon is ?E,M=3.84×108 m. (in liters)

The moon has a mass of 7.36 1022 kg and
moves about the earth in a circular orbit of radius
3.80 108 m with a period of 27.3 days. Find
the moon's kinetic energy as observed on earth.
(b) Would the moon's kinetic energy be the same from the sun's
reference frame?

Given the Schwarzschild radius defined by
Rs = (2GM)/ c2
we can also define a “surface gravity” κ, which is the
acceleration (from gravity) an imaginary
mass would feel if it were held at the Schwarzschild radius.
Calculate κ using classical
Newtonian gravity.
(a) How does κ depend on the total black hole mass M?
(b) What is the value of κ for a black hole with a mass of 40 x 109
M@ (this is the most
massive black...

If 1% of the Earth’s mass were transferred to the Moon, how far
would the center of mass of the Earth-Moon-population system
move?
The mass of the Earth is 5.97×1024 kg and that of the
Moon is 7.34×1022 kg.
The radius of the Moon’s orbit is about 3.84×105m.

Lasers have been used to suspend spherical glass beads in the
Earth's gravitational field.
(a) A black bead has a radius of 0.466 mm and a density of 0.212
g/cm3. Determine the radiation intensity needed to
support the bead.
(b) What is the minimum power required for this laser?

I only need question (C) answered. I have written out the
previous two questions with their answers so that it can assist you
in the question (C) THANK YOU
(a) Calculate the angular momentum of the Moon due to its
orbital motion about Earth. In your calculation use 3.84 ✕
108 m as the average Earth-Moon distance and 2.36 ✕
106 s as the period of the Moon in its orbit. (Use 7.36
✕ 1022 kg for the mass of...

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