Question

Scientists want to place a 3200 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.1 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:

m_{mars} = 6.4191 x 10^{23} kg

r_{mars} = 3.397 x 10^{6} m

G = 6.67428 x 10^{-11} N-m^{2}/kg^{2}

1. What is the force of attraction between Mars and the satellite?

2. What speed should the satellite have to be in a perfectly circular orbit?

3. How much time does it take the satellite to complete one revolution?

4. Which of the following quantities would change the speed the satellite needs to orbit at?

the mass of the satellite

the mass of the planet

the radius of the orbit

5. What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

Answer #1

1. What is the force of attraction between Mars and the satellite?

F = GMm / r^{2}

where M is mass of Mars and m is mass of satellite

F = 6.67e-11 * 6.4191e23 * 3200 / ( 2.1 * 3.397e6 +
3.397e6)^{2}

F = 1236 N

___________________________

2. What speed should the satellite have to be in a perfectly circular orbit?

v = sqrt ( GM / r)

v = sqrt ( 6.67e-11 * 6.4191e23 / ( 2.1 * 3.397e6 + 3.397e6))

v = 2016.4 m/s

__________________________

3. How much time does it take the satellite to complete one revolution?

T = distance / speed

T = 2 * pi * ( 2.1 * 3.397e6 + 3.397e6) / 2016.4

T = 32814.09 seconds

_____________________________

4.

the radius of the orbit

________________________

5.

radius will be 4 times larger

Scientists want to place a 2700 kg satellite in orbit around
Mars. They plan to have the satellite orbit a distance equal to 2.4
times the radius of Mars above the surface of the planet. Here is
some information that will help solve this problem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
G = 6.67428 x 10-11 N-m2/kg2
1)What is the force of attraction between Mars and
the satellite?
2)What speed should the satellite have...

Scientists want to place a 3400 kg satellite in orbit around
Mars. They plan to have the satellite orbit a distance equal to 1.5
times the radius of Mars above the surface of the planet. Here is
some information that will help solve this problem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
G = 6.67428 x 10-11 N-m2/kg2
1)What is the force of attraction between Mars and the
satellite?
2)What speed should the satellite have...

Scientists want to place a 2600 kg satellite in orbit around
Mars. They plan to have the satellite orbit at a speed of 2439 m/s
in a perfectly circular orbit. Here is some information that may
help solve this problem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
G = 6.67428 x 10-11 N-m2/kg2
1) What radius should the satellite move at in its orbit?
(Measured frrom the center of Mars.)

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...

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 has a mass of 6372 kg and is in a circular orbit
4.05 × 105 m above the surface of a planet. The period
of the orbit is 2.1 hours. The radius of the planet is 4.41 ×
106 m. What would be the true weight of the satellite if
it were at rest on the planet’s surface?

A 200 kg satellite is placed in Earth’s orbit 200 km above the
surface. The Radius of Earth is 6.37 x 106 m, and the Earth’s mass
is 5.98 x 1024 kg.
A) Assuming a circular orbit, how long does the satellite take
to complete one orbit?
B) What is the satellite’s speed?

A satellite of mass 3.00 x 104 kg is placed in orbit
around Jupiter. The mass of Jupiter is 2.90 x 1027 kg.
The distance between the satellite and the centre of Jupiter is
9.24 x 107 m.
Determine the force of gravitational attraction between the
satellite and Jupiter.
One of the moons of Jupiter is Io. The distance between the
centre of Jupiter and the centre of Io is 5.22 x 108 m.
If the force of gravitational attraction...

A satellite has a mass of 5966 kg and is in a circular orbit
4.12 × 105 m above the surface of a planet. The period
of the orbit is 1.9 hours. The radius of the planet is 4.58 ×
106 m. What would be the true weight of the satellite if
it were at rest on the planet’s surface?

A satellite has a mass of 6495 kg and is in a circular orbit
4.94 × 105 m above the surface of a planet. The period
of the orbit is 2.2 hours. The radius of the planet is 4.19 ×
106 m. What would be the true weight of the satellite if
it were at rest on the planet’s surface?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 21 minutes ago

asked 35 minutes ago

asked 42 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago