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Pressure and thrust: Class 9 practice

Pressure is thrust (force perpendicular to a surface) divided by the area it acts on: P = F/A, measured in pascals (1 Pa = 1 N/m²). Read the method, follow the three worked examples, then try the six questions.

What you should know first

  • Area units
  • Weight = mg

The idea behind pressure and thrust

Pressure is thrust (force perpendicular to a surface) divided by the area it acts on: P = F/A, measured in pascals (1 Pa = 1 N/m²). Smaller area → bigger pressure.

Step-by-step method

  1. Convert area to m² (1 cm² = 10⁻⁴ m²).
  2. Weight as thrust: F = mg.
  3. P = F ÷ A.

Worked example 1 (Basic)

A thrust of 450 N acts on an area of 0.5 m². Find the pressure.

  1. P = 450 ÷ 0.5
  2. P = 900 Pa
  3. Answer: 900 Pa

Worked example 2 (Standard)

A 70 kg block rests on a face of area 40 cm². Taking g = 10 m/s², find the pressure it exerts.

  1. Thrust = mg = 700 N
  2. A = 40 cm² = 0.004 m²
  3. P = 700 ÷ 0.004 = 175000 Pa
  4. Answer: 175000 Pa

Worked example 3 (Challenge)

What area is needed so that a 250 N weight exerts only 3000 Pa?

  1. A = F ÷ P = 250 ÷ 3000
  2. A = 0.083 m²
  3. Answer: 0.083 m²

Common mistakes and misconceptions

  • Leaving area in cm²
  • Using mass instead of weight

Practice questions

  1. (Basic) A thrust of 330 N acts on an area of 2 m². Find the pressure.
  2. (Basic) A thrust of 330 N acts on an area of 4 m². Find the pressure.
  3. (Standard) A 65 kg block rests on a face of area 40 cm². Taking g = 10 m/s², find the pressure it exerts.
  4. (Standard) A 30 kg block rests on a face of area 50 cm². Taking g = 10 m/s², find the pressure it exerts.
  5. (Challenge) What area is needed so that a 100 N weight exerts only 6000 Pa?
  6. (Challenge) What area is needed so that a 1000 N weight exerts only 5000 Pa?

Answer key with full working

  • Q1: P = 330 ÷ 2 → P = 165 Pa → Answer: 165 Pa
  • Q2: P = 330 ÷ 4 → P = 82.5 Pa → Answer: 82.5 Pa
  • Q3: Thrust = mg = 650 N → A = 40 cm² = 0.004 m² → P = 650 ÷ 0.004 = 162500 Pa → Answer: 162500 Pa
  • Q4: Thrust = mg = 300 N → A = 50 cm² = 0.005 m² → P = 300 ÷ 0.005 = 60000 Pa → Answer: 60000 Pa
  • Q5: A = F ÷ P = 100 ÷ 6000 → A = 0.017 m² → Answer: 0.017 m²
  • Q6: A = F ÷ P = 1000 ÷ 5000 → A = 0.200 m² → Answer: 0.200 m²

Syllabus note

This skill is listed under "Gravitation" for Class 9 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

Related practice and notes

Frequently asked questions

Which chapter is pressure and thrust in?

"Gravitation", Class 9 Physics (NCERT/CBSE). Other boards may place it differently.

How were the answers checked?

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

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