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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 2 kg2\text{ kg} toy car moves up a rough track with initial speed 12 m s−112\text{ m s}^{-1}. It reaches a point 5 m5\text{ m} higher. Work done by friction during the motion is −30 J-30\text{ J}. Take g=10 m s−2g=10\text{ m s}^{-2}.
Total: 5 marks

(a) Find the initial kinetic energy. (1 mark)

(b) Find the gain in gravitational potential energy. (1 mark)

(c) Find the final kinetic energy. (2 marks)

(d) Find the final speed. (1 mark)

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cbse-physics-11.u4.t4-2.case.005

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