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Case study·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A particle moves from x=0x=0 to x=4 mx=4\text{ m} under a variable force F=(5+2x) NF=(5+2x)\text{ N} along the positive xx-direction.
Total: 5 marks

(a) Find the work due to the constant 5 N5\text{ N} part. (1 mark)

(b) Find the work due to the 2x2x part. (2 marks)

(c) Find the total work done. (1 mark)

(d) Find the average force over the interval. (1 mark)

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cbse-physics-11.u4.t4-1.case.005

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