PHYSICS A Forces and Motion. OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary GCE

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OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary GCE PHYSICS A 2821 ces and Motion Wednesday 12 JANUARY 2005 Morning 1 hour Candidates answer on the question paper. Additional materials: Electronic calculator Ruler (cm/mm) Protractor Candidate Name Centre Number Candidate Number TIME 1 hour INSTRUCTIONS TO CANDIDATES Write your name in the space above. Write your Centre number and Candidate number in the boxes above. Answer all the questions. Write your answers in the spaces provided on the question paper. Read each question carefully and make sure you know what you have to do before starting your answer. INFORMATION FOR CANDIDATES The number of marks is given in brackets [ ] at the end of each question or part question. You will be awarded marks for the quality of written communication where this is indicated in the question. You may use an electronic calculator. You are advised to show all the steps in any calculations. FOR EXAMINER S USE Qu. Max. Mark 1 10 2 10 3 13 4 10 5 17 TOTAL 60 This question paper consists of 14 printed pages and 2 blank pages. SPA (KN) S76208/4 OCR 2005 [M/100/3700] Registered Charity Number: 1066969 [Turn over

2 Data speed of light in free space, c =3.00 10 8 ms 1 permeability of free space, 0 =4 10 7 Hm 1 permittivity of free space, 0 =8.85 10 12 Fm 1 elementary charge, the Planck constant, unified atomic mass constant, rest mass of electron, rest mass of proton, e =1.60 10 19 C h =6.63 10 34 Js u =1.66 10 27 kg m e =9.11 10 31 kg m p =1.67 10 27 kg molar gas constant, R = 8.31 J K 1 mol 1 the Avogadro constant, N A =6.02 10 23 mol 1 gravitational constant, G =6.67 10 11 Nm 2 kg 2 acceleration of free fall, g = 9.81 m s 2

3 mulae uniformly accelerated motion, s = ut + at 2 refractive index, n = v 2 = u 2 +2as 1 sinc 1 1 1 capacitors in series, = + +... C C 1 C 2 capacitors in parallel, C = C 1 + C 2 +... capacitor discharge, x = x 0 e t/cr Nm V pressure of an ideal gas, p = <c 2 > radioactive decay, x = x 0 e λt t = critical density of matter in the Universe, ρ 0 = 0.693 λ 3H 0 2 8 G v 2 c 2 relativity factor, = (1 ) current, I = nave nuclear radius, r = r 0 A 1/3 I sound intensity level, = 10 lg ( I 0 ) [Turn over

4 Answer all the questions. 1 (a) The following is a list of scalar and vector quantities. acceleration, density, displacement, energy, power, speed, time, weight. In the blank spaces provided in Fig. 1.1, list the quantities as either scalars or vectors. [4] scalar vector Fig. 1.1 (b) Fig. 1.2 shows the path of a ball as it is passed between three players. Player A passes a ball to player B. When player B receives the ball, she immediately passes the ball to player C. The distances for each pass are shown on Fig. 1.2. player C 10 m player B 14 m 12 m player A Fig. 1.2 The ball takes 2.4 s to travel from player A to player C.

(i) 5 Calculate, for the total journey of the ball 1. the average speed of the ball 2. the magnitude of the average velocity of the ball. average speed =... m s 1 [2] (ii) average velocity =... m s 1 [2] Explain why the values for the average speed and average velocity are different....[2] [Total: 10] [Turn over

2 (a) State the two conditions necessary for a system to be in equilibrium. 6 1............. 2.......... [2] (b) Fig. 2.1 shows a painter s plank resting on two supports A and B. 0.55 m 0.15 m 0.15 m A B 1.00 m 1.00 m 80N 650N Fig. 2.1 has been removed due to third-party copyright restrictions Fig. 2.1 The plank is uniform, has a weight 80 N and length 2.00 m. A painter of weight 650 N stands 0.55 m from one end. (i) Show that the force acting on the plank at the support B is approximately 540 N by taking moments of all the forces about the support at A. (ii) Calculate the force acting on the plank at support A. [3] force at A =... N [2]

(iii) 7 Describe and explain what happens to the forces on the plank at A and B if the painter moves towards the support at A. Quantitative values are not required....[3] [Total: 10] [Turn over

3 (a) Define acceleration. 8...[1] (b) Fig. 3.1 shows the velocity v of a ball against time t as it falls vertically from rest to when it hits the ground at A. 6.0 A v / m s 1 5.0 4.0 3.0 2.0 1.0 1.0 0 0 0.2 0.4 0.6 0.8 1.0 1.2 t /s 2.0 3.0 4.0 5.0 6.0 Fig. 3.1 Fig. 3.1 to show the distance that the ball falls is approximately 1.6 m. [2]

(c) 9 The ball is in contact with the ground for 20 ms and then rebounds vertically with an initial upwards velocity of 5.1 m s 1. (i) Calculate the acceleration of the ball as it rebounds while in contact with the ground. acceleration =... m s 2 [3] (ii) Sketch on Fig. 3.1 the velocity against time graph for the ball after it has bounced off the ground until it reaches its maximum height. [3] (d) The ball has a mass of 0.025 kg and rebounds to a height of 1.3 m. (i) Calculate the loss in the potential energy of the ball from the initial point of release at 1.6 m to when it reaches 1.3 m. loss in potential energy... unit... [3] (ii) Explain the loss in the potential energy....[1] [Total: 13] [Turn over

4 (a) (i) Define work done. 10...[1] (ii) Define the watt....[1] (b) The braking distance x of a car depends on its initial kinetic energy E k. Fig. 4.1 shows the relationship between E k and x. 400 300 E k / kj 200 100 0 0 10 20 30 40 50 60 x /m Fig. 4.1 (i) Calculate the gradient of the graph. gradient =... J m 1 [2] (ii) Explain why the gradient of the graph is equal to the braking force acting on the car....[2]

(iii) 11 The car has a mass of 800 kg. Calculate the deceleration of the car when braking. (iv) deceleration =... m s 2 [2] The car is loaded so that the total mass is 1200 kg. Describe and explain how the braking distance changes for the same braking force and initial velocity....[2] [Total: 10] [Turn over

5 (a) (i) Define strain. 12 (ii) Define stress. [2] (b) In this question, two marks are available for the quality of written communication. Describe an experiment to determine the Young modulus of a metal in the form of a wire. Your description should include a labelled diagram of the apparatus the measurements to be taken an explanation of how the equipment is used to obtain the measurements an explanation of how the measurements would be used to determine the Young modulus. diagram of the apparatus [3]

measurements to be taken 13...[2] how the equipment is used to obtain the measurements...[4] determination of the Young modulus...[4] Quality of Written Communication [2] END OF QUESTION PAPER [Total: 17]

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16 OCR has made every effort to trace the copyright holder of items used in this Question paper, but if we have inadvertently overlooked any, we apologise.