Question

Determine the mass of a planet from the period T (15.4 days) and the radius r (6.52×104 km) of its moon’s orbit about the planet. Assume that the moon orbits the center of the planet.

Answer #1

Satellite X, a small moon of Planet X, has an orbital period of
1.77 days and an orbital radius of 4.22 x 10^5 km.
a) What is the mass of Planet X?
b) Assume that Satellite X moves in a circular orbit. What is
its orbital speed?
c) A small mass of m = 2.5 kg is dropped from rest from the
moon. What is its speed when it reaches the surface of Planet X,
whose radius is 71,492 km?...

An undiscovered planet, many light-years from Earth, has one
moon, which has a nearly circular periodic orbit. If the distance
from the center of the moon to the surface of the planet is
2.090×10^5 km and the planet has a radius of 3.600×10^3 km and a
mass of 7.00×10^22 kg , how long (in days) does it take the moon to
make one revolution around the planet? The gravitational constant
is 6.67×10^−11N·m^2/kg^2.
T=___________days

A satellite of 400 Kg was originally placed into an orbit of
radius 30,000 km and a period of 31 hours around planet Barigou. a)
Deduce the expression of the mass of this planet in terms of the
Universal constant G, the radius R and the period T. b) Calculate
the value of new time period if the satellite was then put into its
final orbit of radius 10,000 km. c) Estimate the change in the
kinetic energy of the...

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?

An undiscovered planet, many light-years from Earth, has one
moon which has a nearly circular periodic orbit. If the distance
from the center of the moon to the surface of the planet is 2.07500
× 105 km and the planet has a radius of 3775 km and a mass of 6.40
× 1022 kg, how long (in days) does it take the moon to make one
revolution around the planet. The gravitational constant is 6.67 ×
10-11 N·m2/kg2.

An undiscovered planet, many light-years from Earth, has one
moon, which has a nearly circular periodic orbit. If the distance
from the center of the moon to the surface of the planet is
2.225×105 km and the planet has a radius of 3.150×103 km and a mass
of 7.90×1022 kg , how long (in days) does it take the moon to make
one revolution around the planet? The gravitational constant is
6.67×10−11N·m2/kg2.

1.Zero, a hypothetical planet, has a mass of 4.9 x 1023 kg, a
radius of 3.3 x 106 m, and no atmosphere. A 10 kg space probe is to
be launched vertically from its surface. (a) If the probe is
launched with an initial kinetic energy of 5.0 x 107 J, what will
be its kinetic energy when it is 4.0 x 106 m from the center of
Zero? (b) If the probe is to achieve a maximum distance of...

A planet of mass ?=4.55×1024 kg is orbiting in a circular path a
star of mass ?=8.55×1029 kg . The radius of the orbit is ?=1.75×107
km . What is the orbital period (in Earth days) of the planet
?planet ?

The planet Mercury has an orbital period of 87.97 days, and its
greatest distance (aphelion distance) from the Sun is 0.4667 AU
{where 1 AU " 1 Astronomical Unit = 1.496x1011 m}. The mass of the
planet Mercury is 3.302x1023 kg and the mass of the Sun is
1.988x1030 kg. (a) Calculate the eccentricity of planet Mercury’s
orbit around the Sun. ! (b) Calculate the highest speed of planet
Mercury as it orbits around the Sun?

A star of mass 8.5x1030 kg has a single planet of mass 6.2x1023
kg. The star and planet each orbit around the center of mass of the
star-planet system. If the star and planet are separated by a
distance of 4.4x1012 m from each other, what is the radius of the
star’s orbit? a) 103 km b) 175 km c) 248 km d) 321 km e) 394 km

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