An object is horizontally dragged across the surface by a 100 N force acting parallel to the surface. Find out the amount of work done by the force in moving the object through a distance of 8 m.
Solution:
Given:
F = 100 N, d = 8 m
Since F and d are in the same direction, θ = 0, [θ is the angle of the force to the direction of movement], therefore
W = FdCos θ
W = 100 x 8 x Cos 0
W = 800 J [Since Cos 0 = 1]
Related Concepts
Introduction To Work Done
Work Energy Theorem And Its Application
What is Energy?
Energy is the ability to perform work. Energy can neither be created nor destroyed, and it can only be transformed from one form to another. The unit of Energy is the same as of Work, i.e. Joules. Energy is found in many things, and thus there are different types of energy.
All forms of energy are either kinetic or potential. The energy in motion is known as Kinetic Energy, whereas Potential Energy is the energy stored in an object and is measured by the amount of work done.
Types of Energy
Some other types of energy are given below:
Mechanical energy
Mechanical wave energy
Chemical energy
Electric energy
Magnetic energy
Radiant energy
Nuclear energy
Ionization energy
Elastic energy
Gravitational energy
Thermal energy
Heat Energy
Unit of Energy
The SI unit of energy is Joules (J), named in honour of James Prescott Joule.
Related Concepts
Different Forms Of Energy
Types of Energy
Law of Conservation of Energy
Watch the video and solve NCERT exercise questions in the chapter Work and Energy Class 9
What is Power?
Power is a physical concept with several different meanings, depending on the context and the available information. We can define power as the rate of doing work, and it is the amount of energy consumed per unit of time.
Formula of Power
As discussed, power is the rate of doing work. Therefore, it can be calculated by dividing work done by time. The formula for power is given below.
\(\begin{array}{l}P = \frac{W}{t}\end{array} \)
Where, P is the power, W is the work done and t is the time taken.
Unit of Power
As power doesn’t have any direction, it is a scalar quantity. The SI unit of power is Joules per Second (J/s), which is termed as Watt. Watt can be defined as the power needed to do one joule of work in one second. The unit Watt is dedicated in honour of Sir James Watt, the developer of the steam engine.
Read the article below to learn the SI unit of power in detail.
Unit of Power
Example of Power
A garage hoist lifts a truck up 2 meters above the ground in 15 seconds. Find the power delivered to the truck. [Given: 1000 kg as the mass of the truck]
First we need to calculate the work done, which requires the force necessary to lift the truck against gravity:
F = mg = 1000 x 9.81 = 9810 N.
W = Fd = 9810N x 2m = 19620 Nm = 19620 J.
The power is P = W/t = 19620J / 15s = 1308 J/s = 1308 W.
Related Concept
Electrical Energy and Power
Work, Power and Energy Questions
What is the relationship between work, energy and power?
What happens to the energy as work is done?
What is the difference between work, energy and power?
Is energy transferred the same as work done?
How does work affect an object’s energy?
How are work, energy and power related to each other?
How are force, energy and work related?
What is the formula of work, energy and power?
How do you calculate energy from power?
Can force be converted into energy?
Video Explanation of Work, Energy and Power
Here is an engaging video explanation of Work, Energy and Power and the relationship between them.
Important Resources for Work, Energy and Power
NCERT Solutions Class 11 Physics Work, Energy and Power
NCERT Solutions Class 9 Science Work and Energy
NCERT Exemplar Class 9 Science Chapter 11 Work and Energy
Work-Energy And Power Class 11 Notes
Overview of Work, Energy and Power
What is Work, Energy and Power?
Work
Definition
The work done by a force is defined to be the product of component of the force in the direction of the displacement and the magnitude of this displacement.
Formula
Work can be calculated by multiplying Force and Distance in the direction of force as follows
W = F × d
Unit
The SI unit of work is the Joule (J)
Energy
Definition
Energy is defined as the capacity to do work.
Formula
The energy stored in an object due to its position and height is known as potential energy and is given by the formula:
P.E. = mgh
Unit
The SI unit of energy is Joules (J).
Power
Definition
Power is defined as the rate at which work is done.
Formula
The formula for power is
P = W/t
Unit
The SI unit of power is Watt (W).
Watch the video and solve complete exemplar questions in the chapter Work and Energy Class 9
Frequently Asked Questions
Q1
How are work, energy and power related to each other?
Work is the energy needed to apply a force to move an object a particular distance. Power is the rate at which that work is done.
Q2
What is the unit of work?
The unit of work is Joule.
Q3
What is the unit of energy?
The unit of energy is Joule.
Q4
What is the unit of power?
The unit of power is Watt.
Q5
Is power a scalar quantity?
Power is a scalar quantity because it is a ratio of two scalar quantities.
Watch this fun and engaging rapid fire session based on the topic Work, Energy and Power!
Work, Power and Energy is one of the important topics of JEE Main and JEE Advanced, watch the video and understand the type of questions asked from this topic!
Stay tuned to BYJU’S and Fall in Love with Learning!
Test your Knowledge on Work Energy Power
Q5
Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!
Select the correct answer and click on the “Finish” button Check your score and answers at the end of the quiz
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