Question

Define 1 J of work and 1 Watt of power.

Answer 1

Hint : Work done can be defined as the product of force acting on an object and the distance moved by the object in the direction of the force. Power can be defined as the rate of doing work with time. The unit SI of work is the Joule, and the SI unit of power is the Watt

Formula used: In this solution we will be using the following formula;
$W = Fd$ where $W$ is the work done, $F$ is the force acting on an object, and $d$ is the distance moved by the object while the force still acts on it.
$P = \dfrac{W}{t}$ where $P$ is the power of a force, $W$ is the work done, and $t$ is the time taken to do the particular work.

Complete step by step answer:
Firstly, we are asked to define 1 J of work. To do, we must recall the definition of work.
Generally, work done by a force can be defined as the product of force acting on an object and the distance moved by the object in the direction of the force. Mathematically,
$W = Fd$ where $F$ is the force acting on an object, and $d$ is the distance moved by the object while the force still acts on it. The Joule is just the SI unit of work
Hence, I J is simply the work done by a force of 1 Newton on an object which moves through a distance of 1 metre.
Power is the rate of doing work, mathematically, in average form, is given as
$P = \dfrac{W}{t}$ where $t$ is the time taken to do the particular work.
Hence, 1 Watt is the power of a force, if it does a work of 1 Joule in 1 second.

Note:
To avoid confusions, we need to observe the emphasis on the fact that the work done by a force is the distance moved while the force still acts on it. When a particular force stops acting on an object but the object keeps moving for a distance before coming to rest, the work done by the force does not consider that extra distance but only the distance until the force stopped acting.