Question

A satellite (pictured in brown) of mass 4000kg is in a circular orbit around the earth at a distance 6Re from the earth's center (Reis the earth's radius which is about 6.37×10^6. Another satellite (pictured in grey) of the same mass as the first and traveling faster but going in the same direction, crashes into it as shown. After the crash, the two objects stick together. What velocity must the second grey satellite have, right before the collision, in order that the two objects end up escaping from the earth's gravitational field? (Don't forget that the acceleration due to gravity at r=Re is g=9.81ms2.. If you do the problem using symbols instead of numerical values as far as possible, you can use this information to simplify your equations.)

Answer #1

Consider a satellite of mass m in a circular orbit of radius r
around the Earth of mass ME and radius RE.
1.
What is the gravitational force (magnitude and direction) on
the satellite from Earth?
2.
If we define g(r) to be the force of gravity on a mass m at a
radial distance r from the center of the Earth, divided by the mass
m, then evaluate the ratio g(r)/g(RE)to see how g varies with
radial distance. If...

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(b) What is the period of its revolution?
min
(c) Calculate the gravitational force acting on it.
N

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 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
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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 =
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(b) Find the orbital (tangential) velocity of the
satellite. (c) Find the total energy of the
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A satellite of mass m is in an elliptical orbit around the
Earth, which has mass Me and radius
Re. The orbit varies from closest approach of
distance a at point A to maximum distance of
b from the center of the Earth at point B. At
point A, the speed of the satellite is
v0. Assume that the gravitational potential
energy Ug = 0 when masses are an infinite distance
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A satellite of mass m = 2.00 ×103 kg is launched into a
circular orbit of orbital period T = 4.00 hours. Newton's
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the mass and radius of the Earth are respectively M⨁ =
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What is the total mechanical energy (kinetic energy + potential
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1. Consider a satellite which is in orbit around the
earth. Which of the following statements is
true?
a. The satellite and the earth experience the same force of
gravitational attraction.
b. The satellite and the earth experience the same
acceleration.
c. The satellite experiences a stronger gravitational force than
the earth.
d. The gravitational force acting on the satellite (which is in
outer space) is zero.
e. Only the satellite experiences a gravitational force, and not
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2....

A satellite is in a circular orbit around Earth with an altitude
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can you solve this?

a
satellite in circular orbit around the earth moves at constant
speed.
The orbit is maintained by the force of gravity between the
Earth and satellite, yet no work is done on the satellite. how is
this possible?
A. no work is done if there is no contract between
objects.
b.no work is done if done if the direction of motion is
parallel to the force.
c. no work is done if the direction of motion is perpendicular
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