Define the term work. State the conditions that need to be satisf
Advertisement

Define the term work. State the conditions that need to be satisfied for work to be done. Give some situations in which work is done.


Work is the amount of force exerted on a body such that it moves in the direction of the force. 

Two conditions need to be satisfied for work to be done are as follows: 

(i) A force should act on the body. 

(ii) The body must be displaced in the direction of the applied force. 

Work is not done, if either of the above two conditions is not satisfied.

Let consider some examples from the daily life. 

(i) Push a pebble lying on a surface. The pebble moves through some distance. Here we apply a force on the pebble and the pebble gets displaced. So, we have done work on the pebble.

(ii) We apply a force to lift a book through a height. The book rises up. We have done work in moving up the book.

(iii) A bullock is pulling a cart. The cart moves. There is a force on the cart and the cart has moved. The bullock has done work on the cart.

467 Views

Advertisement

How is work done measured when a body moves in the direction of the applied force?


Work done by a constant force when a body moves in the direction of applied force. As shown in Fig., suppose a force F acts on a body. The body moves through a distance s in the direction of the force.


Work done by a constant force when a body moves in the direction of a


Work done by a constant force when a body moves in the direction of a



Thus, work done by a force acting on a body is equal to the magnitude of the force multiplied by the distance moved in the direction of the force.

482 Views

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


(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.
297 Views

A car weighing 1000 kg and travelling at 30 mis stops at a distance of 50 m decelerating uniformly. What is the force exerted on it by the brakes? What is the work done by the brakes?


253 Views

A boy pulls a toy with a force of 50 N through a string which makes an angle of 30° with the horizontal so as to move the toy by a distance of 1 m horizontally. If the string were inclined making an angle of 45° with the horizontal, how much pull would he apply along the string in order to move it the same distance of 1 m?



 

 

123 Views

Advertisement