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Force is a measure of effort needed to accelerate an object, and is mathematically represented by:

F = ma.

Work is a measure of energy needed to move an object through a certain displacement, and is represented by:

W = Fd.

Power is a measure of the work done per unit time, and is represented by:

P = W/t.

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Related Questions

Does power depend on work?

Yes, power is directly related to work. Power is the rate at which work is done, so the more work that is done in a given amount of time, the higher the power. Mathematically, power is calculated by dividing work by time.


What is equal to work and time?

Work is equal to the product of force and distance, expressed mathematically as ( W = F \times d ), where ( W ) is work, ( F ) is force, and ( d ) is the distance over which the force is applied. Time, in the context of work, can be related to power, which is the rate at which work is done, defined as ( P = \frac{W}{t} ), where ( P ) is power and ( t ) is time. Thus, work and time are interconnected through the concepts of force, distance, and power.


How is the word 'power' defined in physics?

Power is the rate of performing work on an object. Mathematically, power = work divided by time =force x distance divided by time.


What is work equal to force times?

Work is equal to the force applied to an object multiplied by the distance the object moves in the direction of the force. Mathematically, work = force × distance (W = F × d).


What is the difference between force and power?

Force is the rate of change of momentum (which is the product of mass and velocity) whereas power is the rate of work done (product of force and displacement) In fact, it can be shown that power = force x velocity


How determined power mathematically?

Power is mathematically determined using the formula ( P = \frac{W}{t} ), where ( P ) represents power, ( W ) is the work done (or energy transferred), and ( t ) is the time taken to do that work. In electrical contexts, power can also be calculated using ( P = VI ), where ( V ) is voltage and ( I ) is current. Additionally, in mechanical systems, power can be expressed as ( P = Fv ), where ( F ) is force and ( v ) is velocity.


What is the relationship between work and power?

Work is the measure of energy transfer that occurs when a force is applied over a distance. Power, on the other hand, is the rate at which work is done or energy is transferred. Power is the amount of work done or energy transferred per unit of time. Mathematically, power is equal to work divided by time.


How is power related to force and velocity?

Power is the rate at which work is done or energy is transferred. It is calculated as the product of force and velocity, where power = force x velocity. This means that power increases with both force and velocity.


Work is defined as force times?

Work is defined as force times displacement in the direction of the force being applied. This means that work is a measure of how much force is used to move an object a certain distance. Mathematically, work is calculated as the product of force and distance: Work = Force x Distance.


What is Power is equal to force times distance divided by?

Power is equal to force times distance divided by time. This relationship can be expressed mathematically as ( P = \frac{F \cdot d}{t} ), where ( P ) represents power, ( F ) is the applied force, ( d ) is the distance over which the force is applied, and ( t ) is the time taken for that distance. Essentially, power quantifies the rate at which work is done or energy is transferred.


Is power a measure of work?

No, power and work are related but not the same. Power is the rate at which work is done or energy is transferred, while work is the energy transferred when a force causes an object to move over a distance. Power is a measure of how quickly work is done.


How is work and power related?

They are both related by a transfer function which is time . And w= force x distance or w= distance x time . P= work / time