# Relationship between force and power

### What is the relationship between "force" and "power"? | Yahoo Answers

What's the difference between Force and Power? The concepts of force and power seem to convey similar meanings and are often confused for each other. Download scientific diagram | Relationship between force-velocity, force-power and optimal load. Adapted from Kawamori and Haff (). from publication. In physics, power is the rate of doing work or transferring heat, the amount of energy transferred . Let the input power to a device be a force FA acting on a point that moves with velocity vA and the output power The similar relationship is obtained for rotating systems, where TA and ωA are the torque and angular velocity of.

## Mechanics: Work, Energy and Power

Combining the equations for power and work can lead to a second equation for power. A few of the problems in this set of problems will utilize this derived equation for power.

**Introduction to Power, Work and Energy - Force, Velocity & Kinetic Energy, Physics Practice Problems**

Mechanical, Kinetic and Potential Energies There are two forms of mechanical energy - potential energy and kinetic energy. Potential energy is the stored energy of position. In this set of problems, we will be most concerned with the stored energy due to the vertical position of an object within Earth's gravitational field. Kinetic energy is defined as the energy possessed by an object due to its motion.

### Power (physics) - Wikipedia

An object must be moving to possess kinetic energy. The amount of kinetic energy KE possessed by a moving object is dependent upon mass and speed. The total mechanical energy possessed by an object is the sum of its kinetic and potential energies.

Work-Energy Connection There is a relationship between work and total mechanical energy. The final amount of total mechanical energy TMEf possessed by the system is equivalent to the initial amount of energy TMEi plus the work done by these non-conservative forces Wnc. The mechanical energy possessed by a system is the sum of the kinetic energy and the potential energy.

Positive work is done on a system when the force doing the work acts in the direction of the motion of the object. Negative work is done when the force doing the work opposes the motion of the object. When a positive value for work is substituted into the work-energy equation above, the final amount of energy will be greater than the initial amount of energy; the system is said to have gained mechanical energy.

When a negative value for work is substituted into the work-energy equation above, the final amount of energy will be less than the initial amount of energy; the system is said to have lost mechanical energy. There are occasions in which the only forces doing work are conservative forces sometimes referred to as internal forces.

Typically, such conservative forces include gravitational forces, elastic or spring forces, electrical forces and magnetic forces. When the only forces doing work are conservative forces, then the Wnc term in the equation above is zero. In such instances, the system is said to have conserved its mechanical energy. The proper approach to work-energy problem involves carefully reading the problem description and substituting values from it into the work-energy equation listed above.

Inferences about certain terms will have to be made based on a conceptual understanding of kinetic and potential energy. For instance, if the object is initially on the ground, then it can be inferred that the PEi is 0 and that term can be canceled from the work-energy equation.

In other instances, the height of the object is the same in the initial state as in the final state, so the PEi and the PEf terms are the same. As such, they can be mathematically canceled from each side of the equation. In other instances, the speed is constant during the motion, so the KEi and KEf terms are the same and can thus be mathematically canceled from each side of the equation.

Finally, there are instances in which the KE and or the PE terms are not stated; rather, the mass mspeed vand height h is given.

Work has nothing to do with the amount of time that this force acts to cause the displacement. Sometimes, the work is done very quickly and other times the work is done rather slowly.

For example, a rock climber takes an abnormally long time to elevate her body up a few meters along the side of a cliff. On the other hand, a trail hiker who selects the easier path up the mountain might elevate her body a few meters in a short amount of time.

The two people might do the same amount of work, yet the hiker does the work in considerably less time than the rock climber.

### Work, Energy and Power

The quantity that has to do with the rate at which a certain amount of work is done is known as the power. The hiker has a greater power rating than the rock climber. Power is the rate at which work is done. Mathematically, it is computed using the following equation. As is implied by the equation for power, a unit of power is equivalent to a unit of work divided by a unit of time.

For historical reasons, the horsepower is occasionally used to describe the power delivered by a machine. One horsepower is equivalent to approximately Watts. Most machines are designed and built to do work on objects. All machines are typically described by a power rating.

The power rating indicates the rate at which that machine can do work upon other objects.

## What is the relationship between "force" and "power"?

A car engine is an example of a machine that is given a power rating. The power rating relates to how rapidly the car can accelerate the car.

If this were the case, then a car with four times the horsepower could do the same amount of work in one-fourth the time. The point is that for the same amount of work, power and time are inversely proportional. The power equation suggests that a more powerful engine can do the same amount of work in less time. A person is also a machine that has a power rating.