A satellite is held in orbit by a 3000-N gravitational force. Each time the satellite completes an orbit of circumference 80,000 km, the work done on it by gravity is:Select one:a.0b.2.4 × 1011 Jc.9.6 × 1011 Jd.2.4 × 108 J
Question
A satellite is held in orbit by a 3000-N gravitational force. Each time the satellite completes an orbit of circumference 80,000 km, the work done on it by gravity is:Select one:a.0b.2.4 × 1011 Jc.9.6 × 1011 Jd.2.4 × 108 J
Solution
The work done by a force on an object is given by the equation W = F * d * cos(θ), where W is the work done, F is the force, d is the distance over which the force is applied, and θ is the angle between the force and the direction of motion.
In the case of a satellite in orbit, the force of gravity acts towards the center of the Earth, while the satellite moves perpendicular to this force (it moves in a circular path). This means that the angle θ between the force and the direction of motion is 90 degrees.
The cosine of 90 degrees is 0, so the work done on the satellite by gravity as it completes one orbit is W = F * d * cos(90) = 3000 N * 80,000,000 m * 0 = 0 Joules.
So, the correct answer is a. 0.
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