Define the following and give sl unit each:

(a) power
(b) work done
(c) kinetic energy

Sure! Here's a brief explanation of each term and their corresponding SI units:

(a) Power: Power is the rate at which work is done or the rate at which energy is transferred or converted. It measures how quickly work is done or energy is transferred. The SI unit of power is the watt (W). One watt is equivalent to one joule per second (J/s).

(b) Work Done: Work done is the measure of the energy transferred when a force is applied to an object and it is displaced in the direction of the force. Mathematically, work done (W) can be calculated as the product of the magnitude of the force (F) and the displacement (d) in the direction of the force, multiplied by the cosine of the angle (θ) between the force and displacement vectors. The SI unit of work done is the joule (J).

(c) Kinetic Energy: Kinetic energy is the energy possessed by an object due to its motion. It depends on the mass (m) of the object and its velocity (v). Mathematically, kinetic energy (KE) can be calculated as half the product of the mass and the square of the velocity (KE = 0.5 * m * v^2). The SI unit of kinetic energy is also the joule (J).

To summarize:
(a) Power: SI unit is the watt (W).
(b) Work Done: SI unit is the joule (J).
(c) Kinetic Energy: SI unit is the joule (J).