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CBSE Class 9 Physics Chapter 10 Work and Energy Worksheet with Answers

Work and Energy is a foundational chapter in CBSE Class 9 Physics that connects force, motion, and energy transformation. This worksheet has been carefully designed to align with the latest NCERT syllabus and includes a balanced mix of objective, short-answer, and HOTS questions to test conceptual clarity and problem-solving skills. Print this worksheet and complete it in one sitting to gauge your preparation level.

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Key takeaways

  • Work is done only when a force causes displacement in the direction of the force; measured in joules.
  • Kinetic energy depends on the square of velocity, making speed far more significant than mass in determining energy.
  • Potential energy is stored energy due to position or state; gravitational PE increases with height above reference point.
  • Law of conservation of energy states total energy in an isolated system remains constant; energy transforms but never vanishes.
  • Power measures how quickly work is done; one watt equals one joule per second.
  • Commercial unit of energy is kilowatt-hour (kWh); 1 kWh equals 3.6 million joules and is used for electricity billing.
  • Work is zero when force is perpendicular to displacement or when displacement itself is zero despite force being applied.

Quick Chapter Recap: Work and Energy

Work is done when a force applied on an object causes displacement in the direction of the force. The formula is W = F × d × cos(θ), where θ is the angle between force and displacement. If force is perpendicular to displacement, no work is done. Kinetic energy (KE = ½mv²) is energy due to motion, while potential energy (PE = mgh) is stored energy due to position. The Law of Conservation of Energy states that energy can neither be created nor destroyed, only transformed from one form to another. Power (P = W/t) measures the rate of doing work, with SI unit watt. The commercial unit of energy is kilowatt-hour (kWh), used in electricity bills; 1 kWh = 3.6 × 10⁶ J. In real-life situations, mechanical energy often converts to heat and sound due to friction, but total energy remains conserved. Understanding these concepts helps solve numerical problems and interpret everyday energy transformations like a falling ball, a moving vehicle, or water stored in a dam.
  • Work formula: W = F × d × cos(θ); SI unit is joule (J)
  • Kinetic energy: KE = ½mv²; depends on mass and square of velocity
  • Gravitational potential energy: PE = mgh; depends on mass, height, and acceleration due to gravity
  • Law of conservation of energy: Total energy remains constant in an isolated system
  • Power: P = W/t; SI unit is watt (W)
  • 1 kilowatt-hour (kWh) = 3.6 million joules; used for commercial energy billing

Worksheet Details: Difficulty Level and Time

This worksheet is designed at a moderate difficulty level, suitable for regular Class 9 students preparing for school term exams and CBSE board assessments. It covers all major concepts from NCERT Class 9 Physics Chapter 10 including work, energy forms, conservation laws, and power calculations. The questions range from basic recall (MCQs and fill-in-the-blanks) to application-based short answers and higher-order thinking (HOTS) long-answer questions. A case-study question at the end tests your ability to apply multiple concepts in a real-world scenario. The suggested time to complete this entire worksheet is 90 minutes under exam conditions. If you are practicing at home, take your time to understand each solution in the answer key provided at the end. Use this worksheet as a self-assessment tool to identify weak areas and revisit those topics in your NCERT textbook or Class 9 Physics notes. Regular practice with such structured worksheets significantly improves conceptual clarity and scoring ability.
  • Difficulty: Moderate, suitable for Class 9 school and board exams
  • Suggested time: 90 minutes for full worksheet completion
  • Includes MCQs, fill-in-the-blanks, match-the-following, short and long answers, plus one case-study
  • Answer key with brief explanations provided for self-assessment
  • Covers all NCERT Class 9 Physics Chapter 10 topics comprehensively

Section A: Multiple Choice Questions (MCQs)

Each MCQ carries 1 mark. Choose the correct option. These questions test your understanding of definitions, formulae, and direct applications of Work and Energy concepts from CBSE Class 9 Physics syllabus. Pay close attention to keywords like 'always', 'never', 'maximum', and units mentioned in the options. Remember that work can be positive, negative, or zero depending on the angle between force and displacement. Kinetic energy is always non-negative, and potential energy is relative to a chosen reference point. Power is the rate of doing work, and the commercial unit kWh is used for practical energy measurements in households and industries across India. Carefully read each question twice before selecting your answer, as MCQs often contain distractors that seem correct at first glance but fail on closer examination of units or physical interpretation. These six questions form the foundation of objective assessment in Class 9 Physics Chapter 10 and are commonly seen in CBSE term exams and competitive scholarship tests.
  • Q1. When a person holds a bag without moving it, the work done on the bag is: (a) Positive (b) Negative (c) Zero (d) Cannot be determined
  • Q2. The kinetic energy of a body becomes four times its initial value. The new velocity is: (a) Same (b) Double (c) Four times (d) Half
  • Q3. A coolie does 500 J of work in lifting a load to a height of 2 m. The mass of the load is (g = 10 m/s²): (a) 10 kg (b) 25 kg (c) 50 kg (d) 100 kg
  • Q4. Which of the following is NOT a form of mechanical energy? (a) Kinetic energy (b) Potential energy (c) Heat energy (d) Elastic potential energy
  • Q5. The SI unit of power is: (a) Joule (b) Watt (c) Newton (d) Kilowatt-hour
  • Q6. One kilowatt-hour is equal to: (a) 3.6 × 10³ J (b) 3.6 × 10⁶ J (c) 1000 J (d) 10⁶ J

Section B: Fill in the Blanks

Each blank carries 1 mark. Write the correct word or phrase to complete the statement. These questions assess your recall of key terminology and relationships from CBSE Class 9 Physics Chapter 10 Work and Energy. Focus on units, definitions, and direct relationships such as how kinetic energy depends on velocity, or how potential energy relates to height. Remember that work is measured in joules, power in watts, and commercial energy in kilowatt-hours. The law of conservation of energy is a fundamental principle that applies to all isolated systems, meaning total energy remains constant even as it transforms from one form to another. Fill-in-the-blank questions are common in CBSE term exams and require precise knowledge of scientific terms and standard SI units. Make sure your spelling is correct, especially for technical terms like 'joule', 'watt', and 'kinetic'. These five questions will help reinforce your understanding of the core vocabulary and relationships in this chapter.
  • Q7. The work done by a force is ________ if the force is perpendicular to the direction of displacement.
  • Q8. Kinetic energy of a moving object is directly proportional to the square of its ________.
  • Q9. The potential energy of a body at height h is given by the formula PE = ________.
  • Q10. According to the law of conservation of energy, energy can neither be created nor ________.
  • Q11. Power is defined as the rate of doing ________.

Section C: Match the Following

Match the items in Column A with the correct items in Column B. Write the correct pairs in your answer sheet (e.g., 1-c, 2-a, etc.). This exercise tests your ability to connect concepts, formulae, units, and definitions from Class 9 Physics Chapter 10. For instance, you should be able to match 'work' with its SI unit 'joule', or 'kinetic energy' with its formula '½mv²'. Pay attention to the distinctions between similar terms: power is measured in watts, not joules; potential energy depends on height, not velocity. Matching questions are an effective way to revise relationships quickly and are frequently used in CBSE worksheets and internal assessments. These questions also help you organize your mental map of the chapter, making it easier to recall information during exams. Complete all five matches carefully, as even one incorrect pairing can cost you marks in the final assessment.
  • Column A: (1) Work, (2) Kinetic Energy, (3) Power, (4) Potential Energy, (5) Commercial unit of energy
  • Column B: (a) mgh, (b) Joule, (c) ½mv², (d) Watt, (e) Kilowatt-hour

Section D: Short Answer Questions (2 or 3 marks each)

Answer the following questions in 30 to 50 words each. These short-answer questions require you to explain concepts, derive simple results, or solve straightforward numerical problems from CBSE Class 9 Physics Chapter 10. When writing answers, always start with the relevant formula, substitute given values clearly, show all calculation steps, and state the final answer with correct units. For conceptual questions, define terms first, then explain with an example or reason. Remember that CBSE marking schemes reward structured answers: definition, formula, substitution, and result. Practice writing concise yet complete answers, as short-answer questions carry significant weightage in Class 9 Physics exams. These five questions cover work done by forces, energy transformations, power calculations, and real-life applications. Use your NCERT Class 9 Physics textbook and notes to cross-check your understanding after attempting these questions independently.
  • Q17. Define work. Write its SI unit. When is work said to be done by a force?
  • Q18. A force of 10 N moves an object through a distance of 5 m in the direction of force. Calculate the work done.
  • Q19. State the law of conservation of energy. Give one practical example from daily life.
  • Q20. Differentiate between kinetic energy and potential energy with one example each.
  • Q21. An electric bulb of 100 W is used for 5 hours daily. Calculate the energy consumed in kilowatt-hours in one month (30 days).

Section E: Long Answer and HOTS Questions (5 marks each)

Answer the following questions in detail (80 to 120 words or with complete derivation/numerical solution). These questions test higher-order thinking skills (HOTS), conceptual depth, and your ability to apply multiple concepts from Work and Energy together. Long-answer questions often ask for derivations (such as deriving the formula for kinetic energy or potential energy), multi-step numerical problems, or explanations involving real-world energy transformations like those in hydroelectric plants, pendulums, or roller coasters. Structure your answers with clear subheadings if needed: (i) Given data, (ii) Formula, (iii) Calculation, (iv) Result. For derivations, start from basic definitions and proceed step-by-step, justifying each mathematical operation. CBSE Class 9 Physics Chapter 10 long-answer questions are crucial for scoring high marks in board exams, so practice writing them neatly and completely. These three questions reflect the kind of challenging problems you will face in school assessments and annual exams.
  • Q22. Derive the expression for kinetic energy of a body of mass m moving with velocity v. State the conditions under which kinetic energy becomes zero.
  • Q23. A ball of mass 0.5 kg is dropped from a height of 10 m. Calculate its potential energy at the top and kinetic energy just before it hits the ground (assume no air resistance, g = 10 m/s²). Verify the law of conservation of energy.
  • Q24. Explain the energy transformations that take place in a hydroelectric power station. Why is the efficiency of such plants never 100 percent? Discuss at least two reasons.

Section F: Case-Study Question (4 marks)

Read the case study carefully and answer the questions that follow. Case-study questions are a recent addition to CBSE assessments and test your ability to apply Work and Energy concepts to real-world scenarios. They often describe a practical situation like a dam, a moving vehicle, a pendulum, or a roller coaster, and then ask you to analyze energy transformations, calculate values, or explain physical principles at work. Read the passage twice, underline key data like mass, height, velocity, and power, and then attempt each sub-question methodically. These questions carry 4 marks in total (usually four 1-mark sub-questions) and require both conceptual understanding and numerical ability. Case studies reflect CBSE focus on application-based learning and are increasingly common in Class 9 Physics term exams. This question brings together multiple concepts from Chapter 10 in a single integrated problem, mirroring how physics works in real life.
  • Case Study: A roller coaster car of mass 500 kg starts from rest at the top of a 20 m high track. It descends and reaches the bottom where the track is horizontal. Assume no friction or air resistance.
  • Q25(i). What is the potential energy of the car at the top? (Take g = 10 m/s²)
  • Q25(ii). What is the kinetic energy of the car at the bottom?
  • Q25(iii). Calculate the speed of the car at the bottom.
  • Q25(iv). If friction were present, would the speed at the bottom be more, less, or the same? Explain briefly.

Answer Key with Explanations

Section A Answers: 1(c) Zero, because displacement is zero when the bag is held without moving; 2(b) Double, since KE is proportional to v², if KE becomes 4 times, v becomes 2 times; 3(b) 25 kg, using PE = mgh, 500 = m × 10 × 2, so m = 25 kg; 4(c) Heat energy is not mechanical energy; 5(b) Watt; 6(b) 3.6 × 10⁶ J. Section B Answers: 7. zero; 8. velocity; 9. mgh; 10. destroyed; 11. work. Section C Answers: 1-b, 2-c, 3-d, 4-a, 5-e. Section D Answers: 17. Work is done when a force applied on a body causes displacement in the direction of force. SI unit is joule (J). 18. W = F × d = 10 × 5 = 50 J. 19. Energy cannot be created or destroyed, only transformed. Example: A falling ball converts PE to KE. 20. Kinetic energy is due to motion (e.g., moving car), potential energy is due to position (e.g., book on shelf). 21. Energy per day = 100 W × 5 h = 0.5 kWh; in 30 days = 0.5 × 30 = 15 kWh. Section E Answers: 22. Derive using work-energy theorem: W = F × s, F = ma, a = (v² - u²)/2s for u = 0, so W = m(v²/2s) × s = ½mv². KE is zero when v = 0. 23. PE(top) = 0.5 × 10 × 10 = 50 J, KE(top) = 0. At bottom, KE = 50 J, PE = 0. Total energy constant = 50 J. 24. Water PE converts to KE, then mechanical energy in turbines, then electrical energy. Efficiency less than 100% due to friction in turbines and heat losses. Section F Answers: 25(i) 100,000 J; (ii) 100,000 J (by conservation); (iii) ½ × 500 × v² = 100,000, v² = 400, v = 20 m/s; (iv) Speed would be less because some energy is converted to heat due to friction.
  • All MCQ answers: 1-c, 2-b, 3-b, 4-c, 5-b, 6-b
  • All fill-in-the-blank answers: 7-zero, 8-velocity, 9-mgh, 10-destroyed, 11-work
  • Matching pairs: 1-b, 2-c, 3-d, 4-a, 5-e
  • Short answers include definitions, formulae, substitutions, and final results with units
  • Long answers require derivations, multi-step calculations, and explanations of energy transformations
  • Case-study sub-questions test integrated application of PE, KE, conservation law, and speed calculation

How CBSETUTOR.ai Helps Master Work and Energy

Many Class 9 students find Work and Energy challenging because it involves both conceptual understanding and numerical problem-solving. Questions like deriving kinetic energy, applying conservation laws to multi-step problems, or calculating power in real-world situations require clarity and practice. CBSETUTOR.ai offers a 24×7 AI tutor designed specifically for CBSE students from Class 6 to 12. You can upload a photo of any question from this worksheet or your textbook, and the AI tutor provides step-by-step solutions in seconds, explaining every formula and calculation clearly. Unlike expensive coaching that costs thousands per month per subject, CBSETUTOR.ai charges a flat ₹999 per month for every class and every subject, making quality help affordable for all Indian families. Whether you are stuck on a tricky HOTS question, need quick revision before exams, or want to clarify a concept from your NCERT Class 9 Physics notes, the AI tutor is always available on your phone. Start with a free 3-day trial and see how personalized, instant feedback transforms your learning experience and boosts your confidence in Physics Chapter 10 and beyond.
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Tips for Scoring Full Marks in Work and Energy

To excel in CBSE Class 9 Physics Chapter 10, follow these proven strategies. First, memorize all formulae (W = F × d × cos θ, KE = ½mv², PE = mgh, P = W/t, 1 kWh = 3.6 × 10⁶ J) and practice writing them correctly with units. Second, always draw a neat diagram or list given data before solving numerical problems; this prevents silly mistakes and earns you method marks even if the final answer is wrong. Third, understand the physical meaning of each term: work is not just any activity, kinetic energy depends strongly on velocity, and power is about how fast work is done. Fourth, practice derivations like the kinetic energy formula step-by-step until you can write them confidently in exams. Fifth, solve previous years' CBSE question papers and sample papers to understand the pattern and difficulty level of questions. Sixth, revise the law of conservation of energy thoroughly, as it appears in nearly every exam in various forms. Finally, use quality resources like NCERT Class 9 Physics solutions, reference books, and online platforms like CBSETUTOR.ai to clarify doubts instantly. Regular practice, conceptual clarity, and structured revision will help you score full marks in this chapter and build a strong foundation for Class 10 Physics.
  • Memorize all formulae with correct symbols and SI units; write them first in every numerical answer
  • Draw diagrams and list given data clearly before solving problems to earn method marks
  • Understand physical meaning of terms: work requires displacement, KE depends on v², power is rate of work
  • Practice derivations (KE, PE) repeatedly until you can reproduce them flawlessly in exams
  • Solve CBSE previous years' papers and sample papers to familiarize yourself with exam patterns
  • Use CBSETUTOR.ai or NCERT solutions to resolve doubts immediately and reinforce learning

Frequently asked questions

What is the difference between work and energy in Class 9 Physics Chapter 10?+
Work is done when a force causes displacement in its direction (W = F × d × cos θ), measured in joules. Energy is the capacity to do work, existing in forms like kinetic and potential energy. Work transfers or transforms energy from one form to another, so work and energy are closely related but not identical concepts.
Why is kinetic energy always positive or zero, never negative?+
Kinetic energy is calculated as KE = ½mv². Since mass (m) is always positive and velocity (v) is squared (always positive), KE is always positive when the object is moving and zero when it is at rest. There is no physical state where KE can be negative.
How do I remember when work done is positive, negative, or zero?+
Work is positive when force and displacement are in the same direction (θ < 90°), negative when they are opposite (θ > 90°, like friction opposing motion), and zero when force is perpendicular to displacement (θ = 90°) or displacement is zero. Use the formula W = F × d × cos θ to determine the sign.
What is the importance of the law of conservation of energy in real life?+
The law of conservation of energy states that energy cannot be created or destroyed, only transformed. This principle is used in designing machines, power plants, and vehicles to maximize efficiency. It explains why perpetual motion machines are impossible and helps engineers minimize energy losses due to friction and heat.
Why do we use kilowatt-hour instead of joule for electricity bills in India?+
Household electrical appliances consume large amounts of energy, and measuring in joules would result in huge, impractical numbers. One kilowatt-hour (kWh) equals 3.6 million joules, making it a convenient unit for billing. Your electricity meter measures consumption in kWh, and you are charged per unit (1 unit = 1 kWh).
How is power different from work and energy?+
Work and energy both measure the total amount of energy transferred or transformed, measured in joules. Power measures how quickly that work is done or energy is transferred, measured in watts (joules per second). A high-power device does the same work faster than a low-power device.
Can potential energy be negative in Class 9 Physics problems?+
Yes, potential energy can be negative depending on the choice of reference point (zero level). For example, if you choose ground level as zero PE, an object below ground (like in a well) has negative PE. However, only the change in potential energy has physical significance; absolute values depend on reference choice.
What are common mistakes students make in Work and Energy numericals?+
Common mistakes include forgetting to square the velocity in KE = ½mv², using wrong units (mixing meters and centimeters), not converting power from watts to kilowatts when calculating energy in kWh, and neglecting the cos θ term in work formula when force and displacement are at an angle. Always write units in every step.
How does CBSETUTOR.ai help with Class 9 Physics Chapter 10 doubts?+
CBSETUTOR.ai provides a 24×7 AI tutor where you can upload a photo of any question from Work and Energy and get instant step-by-step solutions with explanations. It covers all NCERT problems, worksheet questions, and previous years' papers. The service costs just ₹999/month for all subjects and classes, with a free 3-day trial available.
Is this worksheet enough for Class 9 Physics Chapter 10 board exam preparation?+
This worksheet covers all major question types and concepts from NCERT Class 9 Physics Chapter 10, including MCQs, short and long answers, HOTS, and case-study questions. Combined with NCERT textbook exercises, NCERT solutions, and past CBSE papers, it provides comprehensive preparation. Regular practice and conceptual clarity are key to scoring well in board exams.

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