Question

Work done is equal to area under the force-displacement graph
A. True
B. False

Answer 1

The work done in a force vs. displacement graph is equal to the area between the graph and the X-axis during the same interval. In other words we can also say that work done on an object of motion is equal to the force times the displacement times the cosine of the angle.

Complete step by step answer:

The term Work done is described as the product of force and the displacement in the direction of force. The constant force is the property of force displacement graphs that gives the work done which means when any force is acting on a system is constant, e.g. the force of gravity, or friction when moving at a constant speed, whereas the force displacement graph just act as a horizontal line because the forces do not change.
Work done is measured in joules (J). Work done is said to be scalar quantity because it is the “dot product of 2 vector also called the scalar quantity”. The W can also be expressed in terms of the force and displacement vectors. When there is no work done along the direction of motion then the force is perpendicular.

Therefore option (A) is the right answer.

Note:
No work done situation arises when you apply a force on an object but the object doesn’t change its place or move then no work done takes place. E.g. When you lift a book you are actually behaving as positive work because the force you exert on it is in the same direction as its displacement. Meanwhile the gravity is actually behaving as negative work.