2023 RI H2 Physics Prelims P3 Section B Questions

Centre Number Index Number Name Class S3016 RAFFLES INSTITUTION 2023 Preliminary Examination PHYSICS Higher 2 Paper 3 Longer Structured Questions 9749/03 September 2023 2 hours Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your index number, name and class in the spaces at the top of this page. Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. The use of an approved scientific calculator is expected, where appropriate. Section A Answer all questions. Section B Answer one question only and circle the question number on the cover page. You are advised to spend one and a half hours on Section A and half an hour on Section B. The number of marks is given in brackets [ ] at the end of each question or part question. *This booklet only contains Section B. For Examiner’s Use Section B (circle question attempted) 8 / 20 9 / 20 Deduction This document consists of 9 printed pages.

2 © Raffles Institution Section B Answer one question from this Section in the spaces provided. 8 Fig. 8.1 shows block A of mass m at rest on a frictionless horizontal surface and connected to a mechanical oscillator through a horizontal light spring with spring constant k. The mechanical oscillator is fixed in position. Fig. 8.1 (a) The mechanical oscillator is not switched on. Block A is displaced from its original position along the axis of the spring and set into oscillation. (i) For a displacement x, write down an expression for the force F exerted by the spring on block A. [1] (ii) Use Newton’s second law of motion to show that block A will oscillate with simple harmonic motion. Assume that air resistance on block A is negligible. [2] (iii) Show that the period T of the oscillations of block A is given by: = 2 mT k . [2] A oscillator frictionless surface spring

3 © Raffles Institution [Turn over (b) Block A is now brought to rest at the equilibrium position. Block B of mass 18 g travels to the right with speed 5.3 m s−1 as shown in Fig. 8.2. The two blocks collide and stick together. The mass of block A is 35 g and the force constant of the spring is 25 N m−1. (i) Determine: 1. the maximum compression of the spring maximum compression = m [3] 2. the time it takes after the collision to reach this maximum compression. time = s [2] A B 5.3 m s−1 oscillator frictionless surface spring Fig. 8.2

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