Question:

What is the work done by the force of gravity on a satellite moving round the earth? Justify your answer.

Updated On: Nov 21, 2023
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Solution and Explanation

The satellite is moving on around the earth, displacement of the object is perpendicular to the direction of force. \(θ = 90°\).
\(W = F×s \ cos\ θ\)
\(W= F×s\ cos\ 90°\)
\(W= F×0\)
\(W= 0\)
Therefore, work done is zero.

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Concepts Used:

Work

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Work Formula:

W = Force × Distance

Where,

Work (W) is equal to the force (f) time the distance.

Work Equations:

W = F d Cos θ

Where,

 W = Amount of work, F = Vector of force, D = Magnitude of displacement, and θ = Angle between the vector of force and vector of displacement.

Unit of Work:

The SI unit for the work is the joule (J), and it is defined as the work done by a force of 1 Newton in moving an object for a distance of one unit meter in the direction of the force.

Work formula is used to measure the amount of work done, force, or displacement in any maths or real-life problem. It is written as in Newton meter or Nm.