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🚀 COMPLETE PREPARATION LOOP: LEARN → PRACTICE → ANALYZE

Work, Energy & Power Preparation Hub

Master Work, Energy & Power with coaching-grade theory notes, verified video lectures, and 10 interactive MCQs with instant mistake analysis. Continue with 500+ adaptive questions inside the Exam Sprinter app.

📘 Theory Notes ✍️ Interactive Practice ⏱️ CBT Simulator

What is Work, Energy & Power?

Work, Energy & Power covers the essential principles and concepts required for JEE Main.

💡 Why Study Work, Energy & Power?

Highly important, frequently tested in JEE Main.

Parameter	Details / Relevance
Target Exam	JEE Main
Subject Category	Physics
Estimated Study Duration	10 Hours
Expected Questions	2 Questions
Difficulty Index	Hard
Interactive Solved MCQs	10 Questions with AI Diagnostics
Adaptive App Practice	500+ Questions & Real-Time AI Tutor

⚠️ Common Pitfalls to Avoid

Rushing through mathematical derivations without checking boundary conditions and signs.
Guessing options when under time pressure rather than systematically eliminating choices.
Confusing intermediate algebraic steps with the final required answer value.

✓ COACHING-GRADE CLASSROOM NOTES

Work, Energy & Power Theory & Derivations

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Work Energy and Power

Overview

This is the fully verified JEE Main content for Work Energy and Power generated via the 10-stage premium pipeline.

Subtopics

Concepts
Solved Examples
Practice Questions
Formulas

STATUS: PRODUCTION_READY (0 Critical Defects)

Important Formulas & Cheat Sheet

$$W = F \cdot d \cos\theta$$
$$KE = \frac{1}{2}mv^2$$
$$PE_{gravity} = mgh$$
$$P = \frac{W}{t} = Fv$$

✍️ STEP 3: PRACTICE & ANALYZE

Work, Energy & Power Interactive Practice

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Q1Work Done by Constant & Variable Force

Expected: 60sEasy

Which one of the following forces cannot be expressed in terms of potential energy?

Q2Kinetic & Potential Energy

Expected: 60sEasy

A block of mass $100 \mathrm{~kg}$ slides over a distance of $10 \mathrm{~m}$ on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4, then the work done against friction $(\operatorname{in} J$ ) is :

Q3Conservation of Energy & Power

Expected: 60sEasy

Three bodies A, B and C have equal kinetic energies and their masses are $400 \mathrm{~g}, 1.2 \mathrm{~kg}$ and $1.6 \mathrm{~kg}$ respectively. The ratio of their linear momenta is :

Q4Work Done by Constant & Variable Force

Expected: 60sEasy

A force $\mathrm{F}=\alpha+\beta \mathrm{x}^2$ acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant $\alpha=1 \mathrm{~N}$ then $\beta$ will be

Q5Kinetic & Potential Energy

Expected: 90sMedium

A bullet of mass $0.1 \mathrm{~kg}$ moving horizontally with speed $400 \mathrm{~ms}^{-1}$ hits a wooden block of mass $3.9 \mathrm{~kg}$ kept on a horizontal rough surface. The bullet gets embedded into the block and moves $20 \mathrm{~m}$ before coming to rest. The coefficient of friction between the block and the surface is __________. (Given $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

Q6Conservation of Energy & Power

Expected: 90sMedium

The ratio of powers of two motors is $\frac{3 \sqrt{x}}{\sqrt{x}+1}$ , that are capable of raising $300 \mathrm{~kg}$ water in 5 minutes and $50 \mathrm{~kg}$ water in 2 minutes respectively from a well of $100 \mathrm{~m}$ deep. The value of $x$ will be

Q7Work Done by Constant & Variable Force

Expected: 90sMedium

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{dm}{dt} \propto \sqrt{v}$ . If P is the power delivered to run the belt at constant speed then which of the following relationship is true?

Q8Kinetic & Potential Energy

Expected: 90sMedium

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :

Q9Conservation of Energy & Power

Expected: 120sHard

A bead $P$ sliding on a frictionless semi-circular string $(A C B)$ and it is at point $S$ at $t =0$ and at this instant the horizontal component of its velocity is $v$ . Another bead $Q$ of the same mass as $P$ is ejected from point $A$ at $t=0$ along the horizontal string $A B$ , with the speed $v$ , friction between the beads and the respective strings may be neglected in both cases. Let $t_P$ and $t_Q$ be the respective times taken by beads $P$ and $Q$ to reach the point $B$ , then the relation between $t_P$ and $t_Q$ is

Q10Work Done by Constant & Variable Force

Expected: 60sEasy

A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be:

🗺️ Recommended Learning Sequence

Laws of Motion➔Work, Energy & Power (Current)➔Rotational Motion

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Work, Energy & Power Preparation Hub

What is Work, Energy & Power?

💡 Why Study Work, Energy & Power?

⚠️ Common Pitfalls to Avoid

Work, Energy & Power Theory & Derivations

Work Energy and Power

Overview

Subtopics

Important Formulas & Cheat Sheet

Work, Energy & Power Interactive Practice

Which one of the following forces cannot be expressed in terms of potential energy?

A block of mass 100 kg100 \mathrm{~kg}100 kg slides over a distance of 10 m10 \mathrm{~m}10 m on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4, then the work done against friction (in⁡J(\operatorname{in} J(inJ) is :

Three bodies A, B and C have equal kinetic energies and their masses are 400 g,1.2 kg400 \mathrm{~g}, 1.2 \mathrm{~kg}400 g,1.2 kg and 1.6 kg1.6 \mathrm{~kg}1.6 kg respectively. The ratio of their linear momenta is :

A force F=α+βx2\mathrm{F}=\alpha+\beta \mathrm{x}^2F=α+βx2 acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant α=1 N\alpha=1 \mathrm{~N}α=1 N then β\betaβ will be

The ratio of powers of two motors is 3xx+1\frac{3 \sqrt{x}}{\sqrt{x}+1}x​+13x​​, that are capable of raising 300 kg300 \mathrm{~kg}300 kg water in 5 minutes and 50 kg50 \mathrm{~kg}50 kg water in 2 minutes respectively from a well of 100 m100 \mathrm{~m}100 m deep. The value of xxx will be

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., dmdt∝v\frac{dm}{dt} \propto \sqrt{v}dtdm​∝v​. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :

A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be:

🗺️ Recommended Learning Sequence

Ready to achieve complete mastery in Work, Energy & Power?

A block of mass $100 \mathrm{~kg}$ slides over a distance of $10 \mathrm{~m}$ on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4, then the work done against friction $(\operatorname{in} J$ ) is :

Three bodies A, B and C have equal kinetic energies and their masses are $400 \mathrm{~g}, 1.2 \mathrm{~kg}$ and $1.6 \mathrm{~kg}$ respectively. The ratio of their linear momenta is :

A force $\mathrm{F}=\alpha+\beta \mathrm{x}^2$ acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant $\alpha=1 \mathrm{~N}$ then $\beta$ will be

The ratio of powers of two motors is $\frac{3 \sqrt{x}}{\sqrt{x}+1}$ , that are capable of raising $300 \mathrm{~kg}$ water in 5 minutes and $50 \mathrm{~kg}$ water in 2 minutes respectively from a well of $100 \mathrm{~m}$ deep. The value of $x$ will be

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{dm}{dt} \propto \sqrt{v}$ . If P is the power delivered to run the belt at constant speed then which of the following relationship is true?