Work done upon a body is _______.

Question

Question

Answer 1

The correct answer is only a scalar quantity.

Concept:

Work is said to be done by a force when the body is displaced actually through some distance in the direction of the applied force.
Since the body is being displaced in the direction of F, therefore work done by the force in displacing the body through a distance s is given by

\(W = \vec F \cdot \vec s\)

Or, W = Fs cos θ

Thus work done by a force is equal to the scalar or dot product of the force and the displacement of the body.

EXPLANATION:

Work done upon a body is only a scalar quantity. Therefore option 2 is correct.
Scalar quantities are the measurements that strictly refer to the magnitude of the medium.
There are absolutely no directional components in a scalar quantity only the magnitude of the medium. For example, length, speed, work, mass, density, etc.

Railways Solution Improvement Satya 10 June Madhu(Dia)

Scalar quantities	Vector quantities
The physical quantities which have only magnitude and no direction are called scalar quantities or scalars.	The physical quantities which have both magnitude and direction and obey the laws of vector addition are called vector quantities or vectors.
A scalar quantity can be specified by a single number, along with the proper unit.	A vector quantity is specified by a number with a unit and its direction.
Examples: Mass, volume, density, time, temperature, electric current, etc.	Examples Displacement, velocity, force, momentum, etc.