Section Problem 6 A man-made satellite of mass 6000 kg is in orbit around the earth, making one revolution in 450 minutes. Assume it has a circular orbit and it is interacting with earth only. a) b) first one, what will be its speed? c) If a rocket of negligible mass is attached to the first satellite and the rockets fires off for some time to increase the radius of the first satellite to twice its original radius, with the orbit again circular. i. | What is the magnitude of the gravitational force exerted on the satellite by earth? If another satellite is at a circular orbit with 2 times the radius of revolution of the | What is the change in its kinetic energy? H What is the change in its potential energy? ] How much work is done by the rocket engine in changing the orbital ii. iii. radius? Mass of Earth is 5.97x1024 kg, The radius of Earth is 6.38×106 m, G= 6.67 x 10-11 N• m?/kg?
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
![Name
Section
Problem 6
A man-made satellite of mass 6000 kg is in orbit around the earth, making one revolution in 450
minutes. Assume it has a circular orbit and it is interacting with earth only.
a)
1 What is the magnitude of the gravitational force exerted on the satellite by earth?
If another satellite is at a circular orbit with 2 times the radius of revolution of the
first one, what will be its speed?
c) If a rocket of negligible mass is attached to the first satellite and the rockets fires off for
some time to increase the radius of the first satellite to twice its original radius, with the orbit
again circular.
i.
| What is the change in its kinetic energy?
| What is the change in its potential energy?
$] How much work is done by the rocket engine in changing the orbital
ii.
iii.
radius?
Mass of Earth is 5.97x1024 kg,
The radius of Earth is 6.38×106 m,
G= 6.67 x 10-11 N• m?/kg?
orlk.
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20
Problem
20
Froblem 6
Problem 6
Tetal Orade
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