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A robot probe lands on a new, uncharted planet. It has determined the diameter of the planet to be 8 × 106 m. It weighs a standard 1 kg mass and determines that 1 kg weighs only 5 newtons on this new planet.

(a) What must the mass of the planet be?

(b) What is the acceleration due to gravity on this planet?
the distance from santa maria to los alamos is 16.25 mi. what is the distance in cm
Imagine that it is possible to travel to each planet in our solar system. After a space “cruise,” a tourist returns to Earth. One of the ways he recorded his travels was to weigh himself on each planet he visited. Use the list of these weights on each planet to figure out the order of the planets he visited. On Earth he weighs 720 newtons. List of weights: 655 N; 1,872 N; 792 N; 36 N; and 661 N.
The absolute visual magnitude of a star is 6.5 and for its temperature, the bolometric correction is - 0.3. Calculate the absolute bolometric magnitude and the luminosity of the star.
A key observational parameter of stars is their distance. What is the best method you could
use to determine the distance to:

a. α Centauri (distance: 1.3 pc).
b. a globular cluster in the Milky Way (distance: ∼ 8 to 30 kpc).
c. an M0 Ia supergiant (distance: 5 kpc).

d. the Hyades open star cluster (distance: 46.3 pc).

e. a spiral galaxy in the Fornax cluster (distance: 17.2 Mpc).

f. the Large Magellanic cloud (distance: 48.5 kpc).

Motivate your answers.
From home plate to the center field wall at a ball park is 130 meters. When a batter hits a long drive the ball leaves his bat 1 meter off the ground with a velocity of 40 meters per second at 28 degrees above the horizontal. The center field wall is 2.6 meters high. Does he hit a home run?
WHAT IS THE MEAN MASS DENSITY FOR A SUPER MASSIVE BLACK HOLE WITH TOTAL MASS OF 1*10^8 th MASS OF SUN INSIDE THE SCHWARZSCHILD RADIUS ?
The siriometer is a rarely-used astronomical measure equal to 1 million astronomical units which is 1 million times the average distance between the Sun and Earth. This distance is equal to about 15.8 light years and is about twice the distance from Earth to the star Sirius. How many parsecs is it from our sun to dinner up which is 3228 light years away? 1 pc= 3.262 LY, 1 pc= 206,264.806 AU, 1 AU = 1.496 x 10^11 meters
The crab is defined as the intensity of x-rays emitted from the Crab Nebula at a given photon energy up to 30 kiloelectronvolts (keV). One crab is approximately 24 pW/m^2. What surface area in ft^2 would show the intensity of X-rays in 1 second?
If parallax of a star is 0.1 and three times luminosity than sun, find apparent magnitude
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