Difference Between Work and Power

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Work and Power are important concepts in physics that describe the transfer of energy due to a force acting on an object and the rate at which this transfer occurs.

  • The amount of energy required to move an object to a certain distance by the application of force is known as Work.
  • The rate at which this energy is delivered is known as Power.
  • Power will be more if the same work is done in less time.

Work and Power are related by the formula

Power = Work / Time

In this article, we will explore more about the difference between Work and Power.

Key Terms: Work definition, Power definition, Work vs Power, SI unit of of work and power, Formula of work and power, Difference between work and power, Dimensional formula of work and power


What is Work?

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Work is defined as the transfer of energy by the application of force to move an object through a certain distance

  • It is a scalar quantity.
  • The SI unit of work is Joule (J).
  • The dimension formula of work is [M L2 T-2].

Mathematically, work done is defined as the product of force components in the direction of displacement and magnitude of displacement. It is given by

W = FS cosθ

Where

  • W is work done
  • F is the applied force
  • S is the displacement of the body
  • θ is the angle between force and displacement.

Real-life Examples of Work

The following are real-life examples of work done.

  • Pushing a vehicle horizontally from rest
  • Ascending the stairs
  • Bullet shooting
  • An object falling from the table
  • Box lifting
  • Put a used utensil on the shrink
  • Rock climbing
  • Door closing and opening
Work Done

Work Done

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What is Power?

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The amount of energy transferred or converted in unit time is defined as Power.

  • The SI unit of power is Watt (W) and is equal to joule per second (J/s).
  • Horsepower (hp) is a unit traditionally used to measure the power output of engines in machines and motor vehicles.
  • Power is a scalar quantity.
  • The dimension formula of power is [M L2 T-3].

The formula that relates power with work is given by

P = W / T

Where

  • P is the Power
  • W is the work done
  • T is the time

Real-life Examples of Power

The following are the real-life examples in which power is used.

  • Vehicle engine
  • Grinder Machine
  • Run up a flight of stairs
  • Use of Refrigerator, cooling, heating, lighting, etc.
  • Use of electronic devices such as computers, mobile, etc.

Difference Between Work and Power

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The differences between Work and Power in tabular form are given below

Parameters Work Power
Definition It is defined as the transfer of energy by the application of force to move an object. The rate at which work is done is known as Power.
SI unit The SI unit of work is Joule (J). The SI unit of power is Watt (W)
Other units Other units of work are electron volt (eV), kWh, MWh, and GWh. Other units of power are horsepower (hp), kW, MW, and GW.
Formula W = FS cosθ Power = Work / Time
Type of physical quantity Work is a scalar quantity. Power is also a scalar quantity.
Factors affecting Factors affecting work done are force and displacement. Factors affecting power are work and time.
Time dependency It is independent of time It is the time-independent quantity

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Things to Remember

  • Work is defined as the amount of energy required to move an object.
  • Power is defined as the rate at which energy is expended to move the object.
  • The SI unit of work is Joule, while the SI unit of power is Watt.
  • Work is calculated using the formula W = FS cosθ.
  • Power is calculated using the formula P = W / T.

Sample Questions

Ques. What is the SI unit of work? (1 Mark)

Ans. The SI unit of work is Joule (J).

Second Answer: One Joule is defined as the amount of work done when a force of 1 Newton displaces a body through one meter in the direction of the applied force.

Ques. What is the SI unit of Power? (1 Mark)

Ans. The SI unit of power is Watt (W).

Second Answer: A body is said to have one watt of power if it can perform one joule of work in one second.

Ques. What is power, and how can it be demonstrated with an example? (2 Marks)

Ans. The rate at which work is completed is referred to as power. The watt (W) is the SI unit of power, and one watt equals one joule per second (1 W = 1 J/s). Because work is the transfer of energy, power is the rate at which energy is expended. For example, a 90-W light bulb expends 90 J of energy per second.

Second Answer: Scientifically, power is defined as the rate at which work is done. It describes how quickly energy is transferred. The total work done in lifting the box remains the same, but the power output differs based on speed.

Ques. What is the difference between power and force? (2 Marks)

Ans. Force and power are both important concepts in physics, but they represent different aspects of how energy interacts with objects.

  • Force: Force is a push or pull that acts on an object, causing it to accelerate. It is measured in Newtons (N).
  • Power: Power is the rate at which work is done. It tells you how quickly energy is transferred. It is measured in Watts (W).

Second Answer: Difference between force and power

Force Power
A push or pull that causes objects to move, change direction, or deform is known as force. Power is defined as the rate at which work is done, or energy is transferred.
SI unit force is Newton (N) SI unit of power is Watt (W)
Force is a vector quantity Power is a scalar quantity

Ques. Is work a vector? (1 Mark)

Ans. Work is not a vector quantity. Since it has only magnitude but no sense of direction, it is referred to as scalar quantity.

Second Answer: A vector quantity is defined when they have both magnitude and direction. Vector quantities are direction-aware and are always expressed as a numerical value along with a direction. Work is a scalar quantity, not a vector quantity. mathematically work is nothing but the product of force and displacement. Force and displacement both are vector quantities and the dot product of the two vectors is always scaler.

Ques. What is the formula of Power? (1 Mark)

Ans. The formula of power is given by

Power = Work / Time

Second Answer: The power formula gives you the rate at which work is done.  In other words, it tells you how quickly energy is transferred from one form to another.

The formula of work or energy in terms of power can be given as

Energy or Work = Power x Time

Ques. What is the relationship between work and power? (2 Marks)

Ans. The relationship between work and power can be understood by analyzing the definition of both quantities.

  • Work is defined as the transfer of energy by the application of a force acting on an object, causing it to displace a certain distance in a specific direction. 
  • The rate at which work is completed is referred to as power.

Second Answer: The understanding of the relationship between work and power with an example is given below.

Moving a car by force from position A to position B is considered work. The method you use to move the car affects the power involved. Using an engine or accelerating the car generally allows you to do the same work i.e. moving the car from A to B in a shorter time, which requires higher power.

Ques. Write 5 real-life examples of work. (2 Marks)

Ans. These are real-life examples of work.

  • Taking a vehicle from a standstill and pushing it horizontally.
  • Taking the stairwell
  • Shooting bullets
  • An item that has fallen off the table
  • Lifting a box

Second Answer: Some examples of work in everyday life are

  • An object falling to the ground: Gravity pulls the object downwards. Since the force and displacement are in the same direction, the work done by gravity is considered positive work.
  • Rocket launching: A rocket moves in the upward direction and the force of gravity acts downwards. In this case, the work done by gravity is negative.
  • Pushing against a wall: If you push strongly against a wall, the wall does not move. Since there is no displacement, even though a force is applied, the work done is zero.
  • Weightlifting: When a weightlifter lifts a barbell 2 meters upwards, it exerts a force against gravity, causing the barbell to move upwards. The work done here is against gravity.

Ques. Write 5 real-life examples of power. (2 Marks)

Ans. These are real-life examples of power

  • Attempt to climb a flight of stairs.
  • Refrigerator usage
  • The use of air conditioning and heating.
  • Computers, cell phones, and other electronic gadgets are used.
  • The engine of a vehicle

Second Answer: Power is a physical quantity that is a measure of the rate of transfer of energy. Therefore, it can be defined as the rate at which work is done with respect to time. 

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