Matter In Our Surroundings

Question

When is the work done by a force said to be
(i) positive and (ii) negative?

Answer

(i) Positive work: when the force acting on the object is in the direction of displacement, then work done by a force is positive. 

Positive work done is given by, 

                   W = Fs cos 0° = Fs
Examples:

(i) When a body falls freely under gravity (θ = 0°), the work done by the force of gravity is positive.

(ii) When a horse pulls a cart, the applied force and displacement are in the same direction, the work done by the horse is positive.

(ii) Negative work: when the force acts in a direction opposite to the direction of displacement, work done is negative. 

Negative work done is given by, 

            W = Fs cos 180°
                 = Fs (-1)
                 = - Fs

Examples

(i) When a body is lifted up, the work done by the gravitational force is negative. Gravitational force is acting downwards and weight is lifted up. 

(ii) When brakes are applied to a moving vehicle, the work done by the braking force is negative. The braking force acts in the backward direction while the displacement of the vehicle is in the forward direction.

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