C
CraftExam
medium difficulty5 min

Kinetic Energy

Kinetic energy is the energy possessed by a body due to its motion.

In one line: Speed gets squared, so speed matters more.

Practice This Concept

Understand it

A moving object can do work because of its motion. Kinetic energy depends on mass and the square of speed. This means doubling mass doubles kinetic energy, but doubling speed makes kinetic energy four times.

Example

A moving cricket ball has kinetic energy and can move the stumps when it hits them.

Rule to remember

KE = 1/2 mv², where m is mass in kilogram, v is speed in metre per second, and KE is measured in joule.

See it worked out

Follow the example line by line, then use the same method on new questions.

Worked example

For a 4 kg body moving at 3 m/s, KE = 1/2 × 4 × 3² = 2 × 9 = 18 J.

Method you can reuse

Write m and v in SI units, square v, multiply by m, divide by 2, and write joule as unit.

Visual tip

A comparison table can show same mass at v and 2v to highlight the square effect of velocity.

Check yourself

Answer the question in your head before opening the answer.

Try it yourself

What happens to kinetic energy if the speed of a body is doubled while mass remains constant?

Think first, then show answer
The kinetic energy becomes four times because kinetic energy is proportional to the square of speed.

Common wrong answer

Forgetting to square velocity gives 1/2 × 4 × 3 = 6 J, which.

Why it loses marks: The formula uses v².

Don't mix this up

Students often think mass and speed affect kinetic energy equally, but speed has a stronger effect because it is squared.

Exam tip

In numerical questions, square the velocity first and then multiply by 1/2 m.

Write it in the exam

Each point is worth about one mark. Write point 1 for a 1-mark question and keep adding points as the marks go up.

How CBSE asks it

Questions often ask for numerical KE, comparison after doubling speed, or why a fast vehicle is more dangerous.
  1. 1

    Enough for 1 mark

    Kinetic energy is the energy possessed by a body due to its motion.

  2. 2

    Add for 2 marks

    Example: A moving cricket ball has kinetic energy and can move the stumps when it hits them.

  3. 3

    Add for 3 marks

    A moving object can do work because of its motion.

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