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 1000 kg1000\text{ kg} car moves on a level circular test track of radius 50 m50\text{ m}. At one instant its speed is 10 m s110\text{ m s}^{-1} and it is speeding up with tangential acceleration 2 m s22\text{ m s}^{-2}. The coefficient of static friction is 0.300.30. Take g=10 m s2g=10\text{ m s}^{-2}.
Total: 5 marks

(a) Find the maximum available static friction. (1 mark)

(b) Find the radial force needed for circular motion at this instant. (1 mark)

(c) Find the tangential force needed to produce the given tangential acceleration. (1 mark)

(d) Find the resultant static friction required. (1 mark)

(e) Decide whether the car can move this way without skidding. (1 mark)

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cbse-physics-11.u3.t3-5.case.005

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