Question

Europa, a satellite of Jupiter, has an orbital diameter of 1.34 ×
109 m and a period of 3.55 days. What is the mass of Jupiter? (G =
6.67 × 10-11 N m2/kg2)

Answer #1

Gravitational force is equal to centripetal force for the satellite around Jupiter in the orbit. Use this to find the required mass of the Jupiter as shown below

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omission, let me know in the comments immediately and I will fix
it....**

(Fictional) Xerxes, a moon of the planet Arcturus-5, has an
orbital diameter of 1.34 × 10^9 m, and a period of 3.55 Earth days.
What is the mass of Arcturus-5? Group of answer choices A)1.41
E37
B)kg 1.13 E38
c)kg 1.89 E27
D) kg 1.51 E28 kg

A satelite in a circular orbit has an orbital period of 189
minutes . On Earth the satelite weighs 980 N. The earth's mass is
5.97 × 1024 kg, its equatorial radius is 6.3 × 106 m, and G = 6.67
× 10−11 N • m2/kg2.
How far is the satellite above the earths surface?
How far is it from the earths surface?
If the weight of the satelite on Earth were 8820 N instead of
the 980 N given...

(a) One of the moons of Jupiter, named Io, has an orbital radius
of 4.22 ✕ 108 m and a period of 1.77 days. Assuming the orbit is
circular, calculate the mass of Jupiter. _____kg
(b) The largest moon of Jupiter, named Ganymede, has an orbital
radius of 1.07 ✕ 109 m and a period of 7.16 days. Calculate the
mass of Jupiter from this data. _____kg
(c) Are your results to parts (a) and (b) consistent?
Yes?/No?
Explain.

A satellite of mass 3.00 x 104 kg is placed in orbit
5.00 x 105 m above the surface of Jupiter. Please refer
to the data table for planetary motion included in this lesson.
Determine the force of gravitational attraction between the
satellite and Jupiter.
What must be the orbital speed of the satellite?
What must be the value of the gravitational field constant, g,
at the location of the satellite?
One of the moons of Jupiter is Europa. It's...

A satellite of mass 1525 kg is in circular orbit around Earth.
The radius of the orbit of the satellite is equal to 1.5 times the
radius of Earth (RE = 6.378*106 m, ME = 5.98*1024 kg, G =
6.67*10-11 Nm2/kg2). (a) Find the orbital period of the satellite?
(b) Find the orbital (tangential) velocity of the
satellite. (c) Find the total energy of the
satellite?

A satellite is in circular orbit at an altitude of 1800 km above
the surface of a nonrotating planet with an orbital speed of 3.7
km/s. The minimum speed needed to escape from the surface of the
planet is 8.4 km/s, and G = 6.67 × 10-11 N ·
m2/kg2. The orbital period of the satellite
is closest to
59 min.
83 min.
75 min.
67 min.
51 min.

A satellite of mass m = 2.00 ×103 kg is launched into a
circular orbit of orbital period T = 4.00 hours. Newton's
gravitational constant is G = 6.67 ×10−11 N∙m2/kg2, and
the mass and radius of the Earth are respectively M⨁ =
5.97 ×1024 kg and r⨁ = 6.37 ×106 m. Answer the following
questions.
What is the total mechanical energy (kinetic energy + potential
energy) of the satellite in orbit? Take the gravitational potential
energy of the satellite...

(a) Calculate the orbital speed of a satellite that orbits at an
altitude h = one Earth radius above the surface of the Earth. (b)
What is the acceleration of gravity at this altitude? (G = 6.67 x
10-11 N.m2 /kg2 , ME = 5.97 x 1024 kg, RE = 6.37 x 106 m)

A satellite is in circular orbit at an altitude of 1500 km above
the surface of a nonrotating planet with an orbital speed of 3.4
km/s. The minimum speed needed to escape from the surface of the
planet is 8 km/s, and G = 6.67 × 10-11 N ·
m2/kg2. The orbital period of the satellite
is closest to
A)59 min.
B)45 min.
C)72 min.
D)65 min.
E)52 min.

An astronaut is standing on the surface of a planetary satellite
with no atmosphere that has a radius of 1.74 × 106 m and a mass of
7.35 × 1022 kg. An experiment is planned where a projectile needs
to be launched straight up from the surface. What must be the
minimum initial speed of the projectile, so it will reach a height
of 2.55 × 106 m above this satellite’s surface? (G = 6.67 × 10-11 N
∙ m2/kg2)

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