2024 DHS Prelim H1 Phy P2

1 © DHS 2024 8867/02 [Turn over Name: Centre/Index Number: Class: DUNMAN HIGH SCHOOL Preliminary Examination Year 6 H1 PHYSICS Paper 2 Structured Questions Candidates answer on the Question Paper 8867/02 12 September 2024 2 hours READ THESE INSTRUCTIONS FIRST Write your class, index number and name at the top of this page Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Section A Answer all questions in the spaces provided on the question paper. Section B Answer any one question in the spaces provided The use of an approved scientific calculator is expected, where appropriate. You may lose marks if you do not show your working or if you do not use appropriate units. The number of marks is given in brackets [ ] at the end of each question or part question. For Examiner’s Use Section A 1 10 2 8 3 19 4 12 5 11 Section B (circle attempted) 6 / 7 20 s.f. -1 Total 80 This document consists of 20 printed pages

2 © DHS 2024 8867/02 [Turn over Data speed of light in free space, c = 3.00 × 108 m s1 elementary charge, e = 1.60 × 1019 C unified atomic mass constant, u = 1.66 × 1027 kg rest mass of electron, me = 9.11 × 1031 kg rest mass of proton, mp = 1.67 × 1027 kg the Avogadro constant, NA = 6.02 × 1023 mol1 gravitational constant, G = 6.67 × 1011 N m2 kg2 acceleration of free fall, g = 9.81 m s2 Formulae uniformly accelerated motion, s = ut + 1 2 at2 v2 = u2 + 2as resistors in series, R = R1 + R2 + . . . resistors in parallel, 1/R = 1/R1 + 1/R2 + . . .

3 © DHS 2024 8867/02 [Turn over Section A Answer all the questions in the spaces provided. 1 Student X attempts to determine the acceleration of free fall g experimentally by determining the time taken t for a small metal ball to free fall through a vertical distance s from rest in vacuum. The data obtained by the student are as follows. t = (860 ± 10) ms s = (359 ± 1) cm (a) Define acceleration. …………………………………………………………………………………………… …………………………………………………………………………………………… [1] (b) (i) Calculate the magnitude of the g obtained by the student. g = …………………………………. m s-1 [2] (ii) Express g with its associated uncertainty. g = ………………… ± ………………. m s-1 [3]

4 © DHS 2024 8867/02 [Turn over (iii) Another student Y uses the same method as student X to determine g but in the presence of significant air resistance. State and explain how student Y’s calculated value of g calculated will differ from the value of g obtained by student X. …………………………………………………………………………………….. …………………………………………………………………………………….. [2] (c) The accuracy of the experiment to determine g can be further improved by collecting several pairs of values of s and t. Fig. 1.1 shows the variation with time t of distance s . Fig. 1.1 (i) Suggest why drawing a best fit line reduces random errors. …………………………………………………………………………………….. …………………………………………………………………………………….. [1] (ii) Explain what feature of Fig. 1.1 suggests the presence of systematic errors. …………………………………………………………………………………….. …………………………………………………………………………………….. [1] [Total: 10]

5 © DHS 2024 8867/02 [Turn over 2 (a) State the conditions necessary for equilibrium of a body acted upon by a number of forces. …………………………………………………………………………………………… …………………………………………………………………………………………… [2] (b) A non-uniform beam of mass 5.0 kg and length 5.0 m is supported by a cable and hinged to a wall as shown in Fig. 2.1. Fig. 2.1 (i) Explain what is meant by the centre of gravity of an object. …………………………………………………………………………………….. …………………………………………………………………………………….. [1] (ii) Given that the tension in the cable is 120 N, determine the distance of the centre of gravity of the beam from the hinge. distance = …………………………………. m [2] 40º hinge beam cable 5.0 m

6 © DHS 2024 8867/02 [Turn over (iii) Determine the magnitude and direction of the force acting by the hinge on the beam. force = …………………………………. m direction of force = ……………………………… ………… … ………………. [3] [Total: 8] 3 The planets in the solar system are said to move in circular orbits around the Sun. The masses m of the various planets , distances r of planets from the Sun, and their velocities v, are given in Table 3.1. planet m / 1024 kg r / 108 km v / 104 m s-1 Mercury 0.330 0.579 4.74 Venus 4.87 1.082 3.50 Earth 5.97 1.496 2.98 Mars 0.642 2.279 2.41 Jupiter 1898 7.786 1.31 Saturn 568.5 14.33 0.97 Uranus 86.8 28.72 0.68 Neptune 102 44.95 0.54 Table 3.1

7 © DHS 2024 8867/02 [Turn over (a) Explain how an object undergoing uniform circular motion can be accelerating even though it travels at constant speed. …………………………………………………………………………………………… …………………………………………………………………………………………… …………………………………………………………………………………………… …………………………………………………………………………………………… [3] (b) Using the data in Table 3.1, the graph of v against 1 r is plotted as shown in Fig. 3.1. Fig. 3.1 0 10 20 30 40 50 0.5 1.0 1.5 2.0 2.5 3.0 3.5 v / 104 m s -1 4.0 4.5 5.0 1 r / 10-7 m-0.5

8 © DHS 2024 8867/02 [Turn over (i) Show that the velocity of a planet that is travelling in a circular orbit around the Sun is given by GMv r Where G is the universal gravitation constant, M is the mass of the Sun, and r is the distance of the planet from the Sun. [2] (ii) Using the graph in Fig. 3.1, estimate the mass of the Sun. mass of Sun = …………………………………. kg [3] (iii) Hence, determine the magnitude of the gravitational force exerted by the Sun on Mars. gravitational force = …………………………………. N [2]

9 © DHS 2024 8867/02 [Turn over (iv) Suggest a reason why the mass of the Sun calculated in b(ii) is an estimate. …………………………………………………………………………………… …………………………………………………………………………………… [1] (c) As the planets orbit around the Sun, they experience an acceleration a towards the centre of the Sun. planet m / 1024 kg r / 108 km v / 104 m s-1 a / 10-4 m s-2 Mercury 0.330 0.579 4.74 388 Venus 4.87 1.082 3.50 Earth 5.97 1.496 2.98 58.0 Mars 0.642 2.279 2.41 Table 3.2 (i) Using your knowledge of orbital motion, complete Table 3.2 for the values of a for Venus and Mars. [2] (ii) With reference to Table 3.2, calculate the angular velocity of Venus. angular velocity = …………………………………. rad s-1 [2]

10 © DHS 2024 8867/02 [Turn over (d) Table 3.3 shows the radii and masses of each of the three satellites A, B and C that move around the Earth in a circular orbit. satellite orbital radii / km A 7071 B 26570 C 42230 Table 3.3 With reference to Tables 3.2 and 3.3, state and explain which satellite(s) is/are likely to be geostationary. Support your answer with appropriate calculations. …………………………………………………………………………………… …………………………………………………………………………………… [4] [Total: 19]