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A-Level MathematicsYear 2020Q7

24 7. A light elastic spring has natural length l and modulus of elasticity 4mg . A particle P of mass m is attached to one end of the spring. The other end of the spring is attached to a fixed point A. The point B is vertically below A with AB = 7 4 l. The particle P is released from rest at B. (a) Show that P moves with simple harmonic motion with period π l g (7) (b) Find, in terms of m, l and g, the maximum kinetic energy of P during the motion. (3) (c) Find the time within each complete oscillation for which the length of the spring is less than l. (5) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_4C_que_20201024.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)

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