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Chapter 6: Q6-2MCQ (page 138)

A satellite in circular orbit around the Earth moves at constant speed. This orbit is maintained by the force of gravity between the Earth and the satellite, yet no work is done on the satellite. How is this possible?

(a) No work is done if there is no contact between objects.

(b) No work is done because there is no gravity in space.

(c) No work is done if the direction of motion is perpendicular to the force.

(d) No work is done if objects move in a circle.

Short Answer

Expert verified

(c) No work is done if the direction of motion is perpendicular to the force.

Step by step solution

01

Force of gravity on the satellite

In this type of problem, one of the main factors, which is work done, can occur only if the given object displaces or moves in the direction of the applied force.

The force of gravity maintains the orbit between the Earth and the satellite. Gravity provides the centripetal force whose value is not zero.

02

Determine the work done on the satellite

When a satellite moves in a circular orbit around the Earth with constant speed, the centripetal force developed is always perpendicular to the motion.

So, no work is done on the satellite as the work done is the dot product of force and displacement. However, the force and displacement are perpendicular to each other.

Thus, option (c) is the correct answer.

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