Prelim SAJC (H1) P1 2024 QP

1 SAJC 2024 Prelim / 8867 [Turn Over] Class Index Number Name ST. ANDREW’S JUNIOR COLLEGE JC 2 2024 Preliminary Examination PHYSICS, Higher 1 8867/01 Paper 1 Multiple Choice 12th Sept 2024 1 hour Additional Materials: Multiple Choice Answer Sheet READ THESE INSTRUCTIONS FIRST Write in HB pencil. Do not use staplers, paper clips, glue or correction fluid. Write you name, index number on the Answer Sheet in the spaces provided. There are thirty questions in this paper. Answer all the questions. For each question there are four possible answers A, B, C, D. Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet. Each correct answer will score one mark. Double entry of choices will be considered as a wrong answer. A mark will not be deducted for a wrong answer. The use of an approved scientific calculator is expected, where appropriate. This question paper consists of 18 printed pages including this page.

2 SAJC 2024 Prelim / 8867 [Turn Over] DATA: speed of light in free space c = 3.00 x 108 m s-1 elementary charge e = 1.60 x 10-19 C unified atomic mass constant u = 1.66 x 10-27 kg The Avogadro constant NA = 6.02 x 1023 mol-1 rest mass of electron me = 9.11 x 10-31 kg rest mass of proton mp = 1.67 x 10-27 kg gravitational constant G = 6.67 x 10-11 N m2 kg-2 acceleration of free fall g = 9.81 m s-2 FORMULAE: uniformly accelerated motion, s = u t + a t2 v2 = u2 + 2 a s resistors in series, R = R1 + R2 + ... resistors in parallel, =

3 SAJC 2024 Prelim / 8867 [Turn Over] 1 What is a reasonable estimate of the cross-sectional area of the wire in a paper clip? A 1 x 10-3 m2 B 8 x 10-5 m2 C 8 x 10-7 m2 D 1 x 10-9 m2 2 Which quantity is not an SI base quantity? A charge B mass C temperature D time 3 An aeroplane is moving at a constant speed in a straight line at an angle θ to the horizontal. Four forces act on the aeroplane: thrust force T, weight W, lift force L and resistive force R. Which two equations must be correct? A L = W cos θ and T = R – W sin θ B L = W sin θ and T = R + W cos θ C L = W cos θ and T = R + W sin θ D L = W sin θ and T = R – W cos θ

4 SAJC 2024 Prelim / 8867 [Turn Over] 4 A copper pipe has a true diameter of 42.03 mm. A builder measures the diameter of the pipe five times using digital calipers. The measurements are shown. What describes the builder’s measurements? A accurate and precise B accurate but not precise C not accurate and not precise D not accurate but precise 5 The time taken for an object to fall from rest through a certain distance on Mars is TM. The time taken for the same object to fall from rest through the same distance on Earth is TE. The acceleration of free fall on Mars is 3.71 m s–2. Assume that air resistance is negligible on both Earth and Mars. What is the ratio ܶܯ ܶܧ ? A 0.378 B 0.615 C 1.63 D 2.64

5 SAJC 2024 Prelim / 8867 [Turn Over] 6 A parachutist falls from a stationary balloon at time t = 0. The velocity–time graph for the parachutist from time t = 0 until the time when he is just above the ground is shown. Which graph best shows the variation with time of the acceleration of the parachutist?

6 SAJC 2024 Prelim / 8867 [Turn Over] 7 A sky-diver jumps from an aircraft. The Earth exerts a downward force FE on the sky-diver who also exerts an upward force FS on the Earth. Which statement is correct? A the magnitude of FE > the magnitude of FS B the magnitude of FE < the magnitude of FS C the magnitude of FE = the magnitude of FS and they cancel each other out D the magnitude of FE = the magnitude of FS and they do not cancel each other out 8 A ball falls from rest through air and eventually reaches a constant velocity. For this fall, forces X and Y vary with time as shown. What could be forces X and Y ? force X force Y A B C D air resistance air resistance resultant force weight weight resultant force weight air resistance

7 SAJC 2024 Prelim / 8867 [Turn Over] 9 An object of mass m, moving at speed u along a frictionless horizontal surface, collides head-on with a stationary object of mass 4m. After the collision, the object of mass m rebounds along its initial path with 1 4 of its kinetic energy before the collision. What is the speed of the object of mass 4m after the collision? A ௨ 8 B 3 ௨ 16 C 5 ௨ 16 D 3 ௨ 8 10 The diagram shows two spheres of masses 2 kg and 3 kg moving at a constant speed along a straight line towards one another. The speed of the spheres are 4 m s-1 and 6 m s-1 respectively. Which statement explains why the spheres cannot come to rest at the same time? A The impulses during the collision are not equal and opposite. B The masses of the two spheres are not equal. C The momenta of the spheres are not equal and opposite. D The speeds of the spheres are not equal.

8 SAJC 2024 Prelim / 8867 [Turn Over] 11 The driver of a car applies two parallel forces to a steering wheel, as shown. Each force has a magnitude of 15 N and acts in the direction shown. The steering wheel has a diameter of 0.40 m. What is the torque exerted on the steering wheel? A 1.3 N m B 2.5 N m C 2.7 N m D 5.4 N m 12 Two blocks, of mass 0.20 kg and 0.50 kg, are connected by a light inextensible string that passes over a frictionless pulley. The blocks are initially held stationary. The block of mass 0.20 kg rests on a rough horizontal surface. The block of mass 0.50 kg is suspended in air. Air resistance is negligible. When the blocks are released, they have an acceleration of magnitude 2.0 m s-2. What is the magnitude of the frictional force between the block of mass 0.20 kg and the rough surface? A 3.5 N B 3.9 N C 4.5 N D 6.3 N

9 SAJC 2024 Prelim / 8867 [Turn Over] 13 A snooker ball has a mass of 200 g. It hits the cushion of a snooker table and rebounds along its original path. The ball arrives at the cushion with a speed of 14.0 m s–1 and then leaves it with a speed of 7.0 m s–1. The ball and the cushion are in contact for a time of 0.60 s. What is the average force exerted on the ball by the cushion? A 1.4 N B 2.3 N C 7.0 N D 9.0 N 14 A lamp is suspended in equilibrium from a fixed support by three long identical wires. The weight of the lamp causes each wire to have an extension of 0.40 cm. The height h of the lamp above the floor is measured. The middle wire suddenly breaks and the lamp falls a small distance as the extensions of the remaining two wires increase. The wires obey Hooke’s law. When the lamp is in equilibrium, the height h of the lamp above the floor is measured again. What is the difference between the two values of h? A 0.20 cm B 0.27 cm C 0.40 cm D 0.60 cm 15 An electric car travels at a constant speed of 70 km h–1 for 80 km on a straight horizontal road and uses energy E from its battery. Assume that the electric motor is 100% efficient and that friction is proportional to the square of the velocity. How much energy is used from the battery when the car travels at a constant speed of 60 km h–1 for 80 km on the straight horizontal road? A 0.73 E B 0.86 E C 1.2 E D 1.4 E

10 SAJC 2024 Prelim / 8867 [Turn Over] 16 An object is pulled up a frictionless slope by a constant force F. When the force has done work W, the object has gained gravitational potential energy (g.p.e.) P and kinetic energy (k.e.) K.