![]() Solution: Work done = Force × Distance movedĮxample 3: Calculate the work done in pushing a cart, through a distance of 100 m against the force of friction equal to 120 N. Solution: The work done is calculated by using the formula:Įxample 2: Find the work done by a force of 10 N in moving an object through a distance of 2 m. Work Done By A Force Example Problems With SolutionsĮxample 1: How much work is done by a force of 10N in moving an object through a distance of 1 m in the direction of the force ? It is because the person has to do work in moving his muscles or to work against friction and air resistance. Here, one can ask that if no work is done, then why the person gets tired. A person walking on a road with a load on his head actually does no work because the weight of the load (force of gravity) acts vertically downwards, while the motion is horizontal that is perpendicular to the direction of force resulting in no work done.In all these cases, the direction of displacement is always perpendicular to the direction of force (centripetal force) and hence no work is done. Since the bob is always displaced perpendicular to this force, thus no work is done in this case. When a bob attached to a string is whirled along a circular horizontal path, the force acting on the bob acts towards the centre of the circle and is called as the centripetal force.Thus no work is done when a force acts at right angle to the displacement. ![]() Work done when force is perpendicular to Displacement Work done when force and displacement are inclined (Oblique case):Ĭonsider a force ‘F’ acting at angle θ to the direction of displacement ‘s’ as shown in fig. Therefore we can say that, “The amount of work done is equal to the product of weight of the body and the vertical distance through which the body is lifted. If ‘m’ is the mass of the object and ‘h’ is the height through which it is raised, then the upward force Work done against gravity: To lift an object, an applied force has to be equal and opposite to the force of gravity acting on the object. Work done against the force: Work is said to be done against a force if the direction of the displacement is opposite to that of the force. Work done by a force: Work is said to be done by a force if the direction of displacement is the same as the direction of the applied force. ![]() Work done when force and displacement are along same line: Or 1 J = 1 Nm (In SI unit) Work Done Analysis When a force of 1 newton moves a body through a distance of 1 metre in its own direction, then the work done is known as 1 joule. (ii) Distance through which the body moves (in the direction of force) The work done by a force on a body depends on two factors Work = Force × Distance moved in the direction of force. Work done in moving a body is equal to the product of force exerted on the body and the distance moved by the body in the direction of force. “work is said to be done when the point of application of a force moves. However, in physics the term ‘work’ is used in a specific sense involves the displacement of a particle or body under the action of a force. Definition: In our daily life “work” implies an activity resulting in muscular or mental exertion.
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