Question

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?

Answer #1

How fast is a satellite moving if it is in a circular orbit
whose radius is 22000 km? G = 6.67 x 10-11 Nm2/kg2, and the mass of
the earth is 5.98 x 1024 kg.

A satellite in a circular orbit around the earth with a radius
1.019 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 69.0 kg) is ejected in the
backwards direction so that it is stationary with respect to the
earth and falls directly to the ground. Its speed just before it
hits the ground is 367.0 m/s.
a)Find the total work done by gravity on the satellite fragment.
RE 6.37·103 km;...

A satellite is in a circular orbit around the Earth at an
altitude of 3.32 106 m. (a) Find the period of the orbit. (Hint:
Modify Kepler's third law so it is suitable for objects orbiting
the Earth rather than the Sun. The radius of the Earth is 6.38 106
m, and the mass of the Earth is 5.98 1024 kg.) h (b) Find the speed
of the satellite. km/s (c) Find the acceleration of the satellite.
m/s2 toward the...

A satellite is in a circular orbit around the Earth at an
altitude of 3.84 106 m.
(a) Find the period of the orbit. (Hint: Modify
Kepler's third law so it is suitable for objects orbiting the Earth
rather than the Sun. The radius of the Earth is
6.38 106 m, and the mass of the Earth is
5.98 1024 kg.)
h
(b) Find the speed of the satellite.
km/s
(c) Find the acceleration of the satellite.
m/s2 toward the center of the...

A satellite is in a circular orbit around the Earth at an
altitude of 1.66 106 m. (a) Find the period of the orbit (in hrs).
(Hint: Modify Kepler's third law: T2 = (4π2/GMS)r3 so it is
suitable for objects orbiting the Earth rather than the Sun. The
radius of the Earth is 6.38 106 m, and the mass of the Earth is
5.98 1024 kg.) (b) Find the speed of the satellite (in km/s). (c)
Find the acceleration of...

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 satellite in a circular orbit around the earth with a radius
1.019 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 95.0 kg) is ejected in the
backwards direction so that it is stationary with respect to the
earth and falls directly to the ground. Its speed just before it
hits the ground is 375.0 m/s.
(1) Find the total work done by gravity on the
satellite fragment. RE 6.37·103 km;...

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

Scientists want to place a 1000 kg satellite in a circular orbit
around Venus. They want the height of the orbit to be three times
the radius of Venus. Mvenus = 4.867 x 1024 kg Rvenus = 6.050 x 106
m G = 6.67428 x 10-11 N-m2/kg2
A) What would be the force of gravity between Venus and the
satellite?
B) What would be the acceleration due to gravity at the
satellite’s orbit?
C) What would be the orbital speed...

1. A satellite is in a circular orbit about the earth (ME = 5.98
x 1024 kg). The period of the satellite is 2.35 x 104 s. What is
the speed at which the satellite travels?
2. Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 545 km above the earth’s
surface, while that for satellite B is at a height of 787 km. Find
the orbital speed for (a)...

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