Question

A satellite of mass 220 kg is launched from a site on Earth's equator into an orbit at 210 km above the surface of Earth.

(a) Assuming a circular orbit, what is the orbital period of this satellite? _____ s

(b) What is the satellite's speed in its orbit? _____ m/s

(c) What is the minimum energy necessary to place the satellite in orbit, assuming no air friction? _____ J

Answer #1

The gravitational force provides the centripetal force for the satellite in the orbit. We use this to find the required period and the speed as shown below. Use energy conservation principle to find the energy necessary to place the satellite in orbit

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(part 1 of 3) A satellite of mass 398 kg is launched from a site
on the Equator into an orbit at 544 km above Earth’s surface. If
the orbit is circular, what is the satellite’s speed in orbit? The
gravitational constant is 6.67259 × 10^−11 N · m2/kg2 , the mass of
the earth is 5.98 × 10^24 kg and its radius is 6.37 × 10^6 m.
Answer in units of m/s.
(part 2 of 3) What is the...

A satellite of mass 220 kg is placed into Earth orbit at a
height of 850 km above the surface.
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h
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(c) Starting from the satellite on the Earth's surface, what is the
minimum energy input necessary to place this satellite in orbit?
Ignore air resistance but include the effect of the planet's daily
rotation.
J

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height of 500 km above the surface.
(a) Assuming a circular orbit, how long does the satellite take
to complete one orbit? h
(b) What is the satellite's speed? m/s
(c) Starting from the satellite on the Earth's surface, what is
the minimum energy input necessary to place this satellite in
orbit? Ignore air resistance but include the effect of the planet's
daily rotation. J

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height of 450 km above the surface.
(a) Assuming a circular orbit, how long does the satellite take
to complete one orbit?
1.56 h
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minimum energy input necessary to place this satellite in orbit?
Ignore air resistance but include the effect of the planet's daily
rotation.

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height of 350 km above the surface. (a) Assuming a circular orbit,
how long does the satellite take to complete one orbit? h (b) What
is the satellite's speed? m/s (c) Starting from the satellite on
the Earth's surface, what is the minimum energy input necessary to
place this satellite in orbit? Ignore air resistance but include
the effect of the planet's daily rotation. J

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of 600 km above the surface.
(a) Assuming a circular orbit, how long does the satellite take
to complete one orbit?
(b) What is the satellite's speed?
(c) What is the minimum energy necessary to place this satellite in
orbit (assuming no air friction)?

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(c) Starting from the satellite on the Earth's surface, what is
the minimum energy input necessary to place this satellite in
orbit? Ignore air resistance but include the effect of the planet's
daily rotation.

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(c) Starting from the satellite on the Earth's surface, what is
the minimum energy input necessary to place this satellite in
orbit? Ignore air resistance...

A satellite of mass 180 kg is placed into
Earth orbit at a height of 700 km above the surface.
(a) Assuming a circular orbit, how long does the
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h
(b) What is the satellite's speed?
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(c) Starting from the satellite on the Earth's surface, what is the
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Ignore air resistance but include the effect of the planet's daily
rotation.

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transformed into internal energy by means of air friction?
J

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