Work will be done if a force acts on an object and displacement occurs in the direction of force. According to this explanation work is done in following activities:
• Suma is swimming in a pond.
• A donkey is carrying a load on its back.
• A windmill is lifting water from a well.
• An engine is pulling a train.
• A sailboat is moving due to wind energy.
Work is performed when two conditions are met:
→ A force acts on the object.
→ The object experiences displacement due to the application of force either in the same direction or opposite to the force.
(a) Suma swims by exerting a force to push water backward, causing her to move forward due to the water's reaction. As the force causes displacement, work is done by Suma while swimming.
(b) When a donkey carries a load, it exerts an upward force, but the load moves forward. Since the displacement is perpendicular to the force, no work is done.
(c) A windmill lifts water against gravity, performing work to raise water from the well.
(d) If plant leaves do not move, no displacement occurs, resulting in zero work done.
(e) An engine pulls a train by applying force, causing the train to move in the same direction. As there is displacement, work is done by the engine on the train.
(f) Food grains remain stationary under solar energy, resulting in zero work during the drying process in the sun.
(g) Wind energy propels a sailboat forward by applying force to it, leading to displacement in the boat's direction. Consequently, work is done by the wind on the boat.
In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.
Look up the dictionary entries for the words sympathy, familiarity, comfort, care, and surprise. Use the information given in the dictionary and complete the table.
Noun, Adjective, Adverb, Verb, Meaning:
sympathy
familiarity
comfort
care
surprise
Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
W = Force × Distance
Where,
Work (W) is equal to the force (f) time the distance.
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.
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.