Question

1).

a). An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 2.83 times Earth's. What is the asteroid's orbital period ?, its "year," in terms of Earth years?

b). An artificial satellite is in a circular orbit ?=390.0 km
above the surface of a planet of radius ?=3.65×10^{3} km.
The period of revolution of the satellite around the planet is
?=3.15 hours. What is the average density of the planet?

Answer #1

An artificial satellite is in a circular orbit around a planet
of radius r = 2.25 × 103 km at a distance d = 380.0 km
from the planet\'s surface. The period of revolution of the
satellite around the planet is T = 1.15 hours. What is the average
density of the planet?

The radius of the earth's orbit around the sun (assumed to be
circular) is 1.50×108km, and the earth travels around this orbit in
365 days.
1- What is the magnitude of the orbital velocity of the earth in
m/s?
2- What is the radial acceleration of the earth toward the
sun?
3- What is the magnitude of the orbital velocity of the planet
Mercury (orbit radius =5.79×107km, orbital period = 88.0 days)?
4- What is the radial acceleration of the...

An asteroid, whose mass is 4.50×10-4 times the mass
of Earth, revolves in a circular orbit around the Sun at a distance
that is 4 times the Earth's distance from the Sun. Calculate the
period of revolution of the asteroid.
What is the ratio of the kinetic energy of the asteroid to the
kinetic energy of Earth?

Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 406 km above the earth's
surface, while that for satellite B is at a height of 904 km. Find
the orbital speed for satellite A and satellite B.

A satellite of mass 350 kg is in a circular orbit around the
Earth at an altitude equal to the Earth's mean radius.
(a) Find the satellite's orbital speed.
m/s
(b) What is the period of its revolution?
min
(c) Calculate the gravitational force acting on it.
N

The radius of the Earth’s orbit around the sun (assumed to be
circular) is 1.50∙10^8 km, and the Earth travels around this obit
in 365 days. The mass of the Earth is 5.97∙10^24 kg.
(a)What is the magnitude of the orbital velocity of the Earth,
in m/s?
(b)What is the magnitude of centripetal force acting on the
Earth?
(c)Calculate the gravitational acceleration OF the Earth (not ON
the Earth). Hint: think of your answer to part (d), and set two...

A newly discovered planet follows a circular orbit around a star
in a distant part of the galaxy. The orbital speed of the planet is
determined to be 43,400 m/s. The slower planet's orbital period is
2.40x10^8 s.
a. What is the radius of the orbit of the planet?
b. What is the mass of the star? (hint: is there a centripetal
force? If so, what force i causing the centripetal force?)

Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 556 km above the earth’s
surface, while that for satellite B is at a height of 888 km. Find
the orbital speed for (a) satellite A and
(b) satellite B.

Mercury has a radius of 2440 km. A satellite is in circular orbit
around Mercury. It travels at a distance of 124 km above the
surface and its period of rotation is 1 hour 31.5 minutes.
a) Estimate the Mass of Mercury. State which formula(s) you
applied and why.
b) Estimate Mercury's mean density. You can assume a spherical
planet.
c) Compare your answer to the mean density of Earth. Why is it
larger/smaller?

A planet requires 230 (Earth) days to complete its circular
orbit around its sun, which has a mass of 2.4 x 1030 kg.
What are the planet's (a) orbital radius and
(b) orbital speed?

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