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23 December, 04:00

In order for an external force to do work on a system, Question 9 options: a) there must be a component of the force perpendicular to the motion. b) there must be a component of force parallel to the motion of the object. c) the force can be at any angle relative to the motion of the object.

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  1. 23 December, 07:00
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    b) there must be a component of force parallel to the motion of the object.

    Explanation:

    We know that work done on a body by an external force is calculated by the formula given below:

    W = F. d = Fd Cos θ

    where,

    W = Work Done by the force on the body

    F = Magnitude of force

    d = displacement of the body

    θ = The angle between the direction of motion of the body and the force applied

    It is clear from the formula of the work done, that "F Cosθ" represents the component of the force, that is acting in the direction of motion of the object or parallel to the direction of motion of the object. So, if there is no component of force parallel to motion of object, then this factor will become zero. As a result, the work done will also be zero.

    Therefore, the correct option will be:

    b) there must be a component of force parallel to the motion of object.
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