How are force and power related?
Answer
572.4k+ 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.
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