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Work, Energy and 
Power
Page 2


Work, Energy and 
Power
What is Work?
In daily life “work? = any effort.
In physics, work is done only if a force causes displacement of its 
point of application in the direction of the force.
Definition (scalar): W = F ? · s? = F ? s? cos ?
Example (holding a weight at height h): the weight doesn't move 
? displacement = 0 
? work done on the weight = 0 J (even though you feel tired).
Page 3


Work, Energy and 
Power
What is Work?
In daily life “work? = any effort.
In physics, work is done only if a force causes displacement of its 
point of application in the direction of the force.
Definition (scalar): W = F ? · s? = F ? s? cos ?
Example (holding a weight at height h): the weight doesn't move 
? displacement = 0 
? work done on the weight = 0 J (even though you feel tired).
Work Done by a Constant Force
There are mainly two methods of finding work done by a force:
(i) Work done by a constant force.
(ii) Work done by a variable force.
Formula
Say, if a constant force F 
displaces a body through 
displacement "d", then the work 
done, W is given by
W = F d cos? = F.d
Where
d is the magnitude of 
displacement
? is the angle between force 
and displacement
SI Unit
The SI unit of work is joule (J).
Page 4


Work, Energy and 
Power
What is Work?
In daily life “work? = any effort.
In physics, work is done only if a force causes displacement of its 
point of application in the direction of the force.
Definition (scalar): W = F ? · s? = F ? s? cos ?
Example (holding a weight at height h): the weight doesn't move 
? displacement = 0 
? work done on the weight = 0 J (even though you feel tired).
Work Done by a Constant Force
There are mainly two methods of finding work done by a force:
(i) Work done by a constant force.
(ii) Work done by a variable force.
Formula
Say, if a constant force F 
displaces a body through 
displacement "d", then the work 
done, W is given by
W = F d cos? = F.d
Where
d is the magnitude of 
displacement
? is the angle between force 
and displacement
SI Unit
The SI unit of work is joule (J).
Unit of Work
S.I. System
In the S.I. system, the unit of work done is Joule. 
Another name for joule is newton-meter.
CGS System
In the CGS system, the unit of work is erg.
One erg of work is said to be done when a force of one 
dyne displaces a body through one centimeter in its 
direction.
Relation between joule and erg:
1 joule = 107 erg
1 erg = 10?7 joule
Dimensions of Work: [Work] = [Force] [Distance] = [MLT?²] [L] = [ML²T?²]
Page 5


Work, Energy and 
Power
What is Work?
In daily life “work? = any effort.
In physics, work is done only if a force causes displacement of its 
point of application in the direction of the force.
Definition (scalar): W = F ? · s? = F ? s? cos ?
Example (holding a weight at height h): the weight doesn't move 
? displacement = 0 
? work done on the weight = 0 J (even though you feel tired).
Work Done by a Constant Force
There are mainly two methods of finding work done by a force:
(i) Work done by a constant force.
(ii) Work done by a variable force.
Formula
Say, if a constant force F 
displaces a body through 
displacement "d", then the work 
done, W is given by
W = F d cos? = F.d
Where
d is the magnitude of 
displacement
? is the angle between force 
and displacement
SI Unit
The SI unit of work is joule (J).
Unit of Work
S.I. System
In the S.I. system, the unit of work done is Joule. 
Another name for joule is newton-meter.
CGS System
In the CGS system, the unit of work is erg.
One erg of work is said to be done when a force of one 
dyne displaces a body through one centimeter in its 
direction.
Relation between joule and erg:
1 joule = 107 erg
1 erg = 10?7 joule
Dimensions of Work: [Work] = [Force] [Distance] = [MLT?²] [L] = [ML²T?²]
Nature of Work
Looking at this equation W = F d cos?, we can understand three different scenarios for the work done:
1. Positive Work
When the force and the direction of movement 
are at an acute angle (? < 90º), cos? is positive. 
Hence, the work done is positive.
2. Zero Work
If the force applied and the direction of 
movement are at right angles (perpendicular), 
i.e., ?=90º, cos 90º = 0, the work done is zero.
3. Negative Work
When the force and the direction of movement 
form an obtuse angle (? >90º), cos ? is 
negative, and hence work done is negative.
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FAQs on PPT: Work, Energy and Power

1. What is the principle of work-energy theorem?
Ans. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. Mathematically, it can be expressed as W = ΔKE, where W is the work done, and ΔKE is the change in kinetic energy. This theorem helps in understanding how energy is transferred into or out of a system as work is performed.
2. How are work, energy, and power related to each other?
Ans. Work, energy, and power are interconnected concepts in physics. Work is the process of energy transfer when a force is applied to move an object. Energy is the capacity to do work, and it can exist in various forms such as kinetic, potential, thermal, etc. Power is defined as the rate at which work is done or energy is transferred, expressed as P = W/t, where P is power, W is work, and t is time. Thus, power quantifies how quickly work is performed or energy is converted.
3. What are the different forms of energy relevant to the work-energy principle?
Ans. The primary forms of energy relevant to the work-energy principle include kinetic energy (the energy of motion) and potential energy (the stored energy due to position). Kinetic energy (KE) is given by the formula KE = (1/2)mv², where m is mass and v is velocity. Potential energy (PE), especially gravitational potential energy, is calculated as PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height. Understanding these forms is essential for solving problems related to work and energy.
4. How can we calculate the work done against friction?
Ans. The work done against friction can be calculated using the formula W = F_friction × d × cos(θ), where W is the work done, F_friction is the frictional force, d is the distance over which the force is applied, and θ is the angle between the force and the direction of motion. In the case of friction, θ is typically 0 degrees, making cos(θ) equal to 1, thus simplifying the formula to W = F_friction × d. This calculation is crucial in scenarios involving movement on surfaces with friction.
5. What role does the conservation of energy play in work and energy problems?
Ans. The conservation of energy principle states that energy cannot be created or destroyed, only transformed from one form to another. In work and energy problems, this principle allows us to equate the initial and final energies in a system. For example, in a closed system, the total mechanical energy (sum of kinetic and potential energy) remains constant if only conservative forces (like gravity) are acting. This understanding is fundamental when analyzing scenarios such as projectile motion, pendulum swings, and rollercoaster dynamics.
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