Question

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 5.97×10^{24}
kg, and the radius of the Earth is 6370 km.)

(in km/s)

(in km/s)

Answer #1

Solution: Here, gravitational force will be equal to centripetal force acting on satellite.

Thus, GMm/R^{2} = mv^{2}/R

( M- mass of Earth and m is mass of satellite and R is distance
between centre of the Earth to satellite = **radius of Earth
+ Height of satellite = 6370+7655 = 14025 km = 1.4025*10^7
m** and G is gravitational constant = 6.674 *
10^{-}^{11} m^{3}
kg^{-}^{1} s^{-}^{2})

=> GM/R = v^{2}

=> v = **√** (GM/R)

=> v = **√** { (6.674 *
10^{-}^{11}) (5.97*10^{24}
)/(1.4025*10^{7})}

=> **v = 5330.01 m/s. Answer**

A 345 kg satellite is orbiting on a circular orbit 8955 km above
the Earth's surface. What is the gravitational acceleration at the
location of the satellite? (The mass of the Earth is
5.97×1024 kg, and the radius of the Earth is 6370
km.)?

A satellite is set to orbit at an altitude of 20200 km above the
Earth's surface. What is the period of the satellite in hours?
(Earth radius 6.378×1066.378×106 m, Earth mass 5.97×10245.97×1024
kg, Universal Gravitational constant
G=6.67×10−11m3kg−1s−2G=6.67×10−11m3kg−1s−2 ).

A satellite is orbiting Earth 1,790 m above Earth's surface.
Earth has a mass of 5.97×1024 kg and a radius of
6371×103 m. What is the satellite's speed? Answer in SI
units, rounded to the nearest whole number.
Thank youuuu

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?

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,...

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
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.

A 400 kg satellite is in a circular orbit at an altitude of 550
km above the Earth's surface. Because of air friction, the
satellite eventually falls to the Earth's surface, where it hits
the ground with a speed of 1.90 km/s. How much energy was
transformed into internal energy by means of air friction?
J

a) For a satellite to be in a circular orbit 850 km above the
surface of the earth, what orbital speed must it be given?
b) What is the period of the orbit (in hours)?

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 7 minutes ago

asked 23 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 52 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago