i)You are looking at a satellite in orbit about the Earth (above the atmosphere)
ID: 1961889 • Letter: I
Question
i)You are looking at a satellite in orbit about the Earth (above the atmosphere). The Earth is to the left of the satellite. What are the forces in the free-body diagram of the satellite?A) a force down towards the center of the Earth
B) there are no forces on the satellite since it is weightless
C) two forces which are equal and opposite
D) a force to the outside of its circular orbit
E) two unequal forces
F) a force in the direction of its motion
ii)The satellite is in a circular orbit, at a distance of 7000 kilometers from the center of the Earth. The mass of the satellite is 450 kg, and its orbital speed is 7560 meters/second. What is the magnitude of the force of the Earth's gravity pulling on the satellite?
A) 3675 Newtons
B) 4410 Newtons
C) zero, being beyond the Earth's atmosphere, there is no gravity
D) 8085 Newtons
E) 735 Newtons
iii)What is the acceleration (due to gravity) of the satellite in its orbit? (in meters/second2)
A) zero
B) 9.8
C) more than 9.8
D) less than 8
E) 8.17
Explanation / Answer
1) In a satellite the forces are balanced by the gravity and centripetal force. so answer is C) two forces which are equal and opposite 2) Using equation for centripetal force. (since gravity and centripetal force are same) F = mV^2/r = 450* 7560^2/7000 000 3674.16 N A) 3675 Newtons 3)Accelration is obtained as a = F/m 3674.16÷450 = 8.164 answer is E) 8.17
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