
How are force and power related?
Answer
542.1k+ views
Hint: An interaction between two bodies that results in the motion of a body or a rate at which the work is done is known as the power. The energy that is needed to be applied as a power to move an item in a specific distance and the resultant power is corresponding to the uprooting. Force is the rate at which that work is finished.
Complete step by step answer:
The result of the collaboration between two elements directly or indirectly is known as Force. It is otherwise called the push or pull activity performed on an object. An activity that causes an adjustment in the condition of rest or condition of movement of a body on which it is applied.
The measure of energy utilization when an activity is performed. Specifically, the rate of work done is known as force. So it very well may be communicated as Force = Work done/Time taken.
The relation between the force and power is expressed using the formula, in which the force
\[F = ma\]
$\text{Force} = \text{(Mass)} \times \text{(Acceleration)}$, while power is \[P = \dfrac{W}{t}\],
$\text{Power} = \dfrac{\text{Work done}}{\text{Time is taken}}$.
Since,
$\text{Work} = \text{Force} \times \text{Displacement}$
Thus, on substituting
$P = \text{Force} \times \dfrac{\text{Displacement}}{\text{ Time}}$
Also, we know
$\dfrac{\text{Displacement}}{\text{Time}} = \text{velocity}$
Therefore, $\text{Power} = \text{Force} \times \text{Velocity}$
Note: An example of the power that can be seen as an everyday example is Horsepower, in which
\[1\] horsepower = \[750\] Watts. While Gravity, friction, magnetism are the examples, they are everyday examples of the force. The power can be related to the rate at which work is performed, while the force that is applied over a distance creates work. Power and force are the two significant terms of science, yet force indicates the connection between objects while power determines the rate at which any work is finished.
Complete step by step answer:
The result of the collaboration between two elements directly or indirectly is known as Force. It is otherwise called the push or pull activity performed on an object. An activity that causes an adjustment in the condition of rest or condition of movement of a body on which it is applied.
The measure of energy utilization when an activity is performed. Specifically, the rate of work done is known as force. So it very well may be communicated as Force = Work done/Time taken.
The relation between the force and power is expressed using the formula, in which the force
\[F = ma\]
$\text{Force} = \text{(Mass)} \times \text{(Acceleration)}$, while power is \[P = \dfrac{W}{t}\],
$\text{Power} = \dfrac{\text{Work done}}{\text{Time is taken}}$.
Since,
$\text{Work} = \text{Force} \times \text{Displacement}$
Thus, on substituting
$P = \text{Force} \times \dfrac{\text{Displacement}}{\text{ Time}}$
Also, we know
$\dfrac{\text{Displacement}}{\text{Time}} = \text{velocity}$
Therefore, $\text{Power} = \text{Force} \times \text{Velocity}$
Note: An example of the power that can be seen as an everyday example is Horsepower, in which
\[1\] horsepower = \[750\] Watts. While Gravity, friction, magnetism are the examples, they are everyday examples of the force. The power can be related to the rate at which work is performed, while the force that is applied over a distance creates work. Power and force are the two significant terms of science, yet force indicates the connection between objects while power determines the rate at which any work is finished.
Recently Updated Pages
A man running at a speed 5 ms is viewed in the side class 12 physics CBSE

The number of solutions in x in 02pi for which sqrt class 12 maths CBSE

State and explain Hardy Weinbergs Principle class 12 biology CBSE

Write any two methods of preparation of phenol Give class 12 chemistry CBSE

Which of the following statements is wrong a Amnion class 12 biology CBSE

Differentiate between action potential and resting class 12 biology CBSE

Trending doubts
What are the major means of transport Explain each class 12 social science CBSE

Which are the Top 10 Largest Countries of the World?

Draw a labelled sketch of the human eye class 12 physics CBSE

Explain sex determination in humans with line diag class 12 biology CBSE

Explain sex determination in humans with the help of class 12 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

