Question

A satellite circles the earth in an orbit whose radius is 3.14
times the earth's radius. The earth's mass is 5.98 x
10^{24} kg, and its radius is 6.38 x 10^{6} m. What
is the period of the satellite?

Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 44.6 km/s and 59.9 km/s. The slower
planet's orbital period is 8.88 years. **(a)** What is
the mass of the star? **(b)** What is the orbital
period of the faster planet, in years?

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 40.5 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road.

Answer #1

A computer is reading data from a rotating CD-ROM. At a point
that is 0.0208 m from the center of the disk, the centripetal
acceleration is 132 m/s2. What is the centripetal
acceleration at a point that is 0.0600 m from the center of the
disc?
A computer is reading data from a rotating CD-ROM. At a point
that is 0.0208 m from the center of the disk, the centripetal
acceleration is 132 m/s2. What is the centripetal
acceleration at...

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 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...

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 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. At what altitude above the Earth's surface would a satellite
have to be for it’s orbital period to be equal to 24 hours? Assume
the satellite is in a circular orbit. Assume a spherical, uniform
density for the Earth. The Earth's mass 5.98 x 10 raised to 24kg.
The Earth's radius is 6380 km B. Why would a satellite in such an
orbit be a useful thing?

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 160 kg satellite is orbiting on a circular orbit 7655 km above
the Earth's surface. Determine the speed of the satellite. (The
mass of the Earth is 5.97×1024
kg, and the radius of the Earth is 6370 km.)
(in km/s)

NASA launches a satellite into orbit at a height above the
surface of the Earth equal to the Earth's mean radius. The mass of
the satellite is 830 kg. (Assume the Earth's mass is 5.97 1024 kg
and its radius is 6.38 106 m.) (a) How long, in hours, does it take
the satellite to go around the Earth once? h (b) What is the
orbital speed, in m/s, of the satellite? m/s (c) How much
gravitational force, in N,...

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