EJC Physics 2022 J2 H1 MYE P2 Qn

©EJC 2022 8867/02/J2H1MYE/2022 [Turn over EUNOIA JUNIOR COLLEGE JC2 MID YEAR EXAMINATION 2022 General Certificate of Education Advanced Level Higher 1 CANDIDATE NAME CIVICS GROUP 2 1 - REGISTRATION NUMBER PHYSICS Paper 2 Structured Questions 8867/02 June 2022 2 hours Candidates answer on the Question Paper READ THESE INSTRUCTIONS FIRST Write your name, civics group and registration number on all the work you hand in. Do not use paper clips, highlighters, glue or correction fluid. Answer all questions. The use of an approved scientific calculator is expected where appropriate. Structured Questions Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams or graphs. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 17 printed pages and 1 blank page. For Examiner’s Use 1 5 2 10 3 10 4 15 5 20 6 10 7 10 s.f. c.f. Total 80

2 ©EJC 2022 8867/02/J2H1MYE/2022 Data Formulae uniformly accelerated motion = + ++ = + = + + =   2 22 12 12 1 2 2 11 1 s at u as R /R /R u v /R t RR resistors in series resistors in parallel speed of light in free space − − − − − − −− − × × = × × × = × = = = × = = = 81 19 27 31 e 27 p 23 1 A 11 2 2 2 3 00 1 60 9 11 1 10 m s 10 C 1 66 10 kg 10 kg 10 kg 6 02 10 mol 10 N m k 6 1 g m 7 s 7 66 98 c u . e. . . N G. g . m m . . elementary charge unified atomic mass constant rest mass of electron rest mass of proton the Avogadro constant gravitational constant acceleration of free fall

3 ©EJC 2022 8867/01/J2H1MYE/2022 [Turn over Answer all the questions in the spaces provided. 1 The variable resistor is adjusted to give a new set of readings which, when repeated, give values of voltage V and current I of (3.00 ± 0.03) V and (4.9 ± 0.1) mA respectively. (a) Estimate the percentage uncertainty in the value of the unknown resistance X as a result of the uncertainties in the values of V and I. percentage uncertainty = ………………….. % [2] (b) Determine the unknown resistance X and express it with its associated uncertainty to the appropriate number of significant figures. resistance = …………………..±…………….. Ω [3]

4 ©EJC 2022 8867/02/J2H1MYE/2022 2 (a) Define acceleration. ...……………………………….…………………………………………………………………... ………...…………………………………….……………………………………………………[1] (b) A stone is projected from a cliff on a faraway planet. It travels from point A, through point B and to point D as shown in Fig. 2.1. The horizontal dotted line AB is at a vertical distance of 1.1 m above the horizontal dotted line CD. The initial velocity of the stone is 5.0 m s –1 at 30o to the horizontal. Assume air resistance is negligible. Fig. 2.1 Fig. 2.2 shows the variation of the stone’s vertical velocity with time. Fig. 2.2 –5.0 –4.0 –3.0 –2.0 –1.0 0 1.0 2.0 3.0 4.0 5.0 velocity / m s–1 0 1.75 time / s 1.00 1.50 0.75 0.50 0.25 1.25 path of stone 30o 5.0 m s–1 A B D C 1.1 m

5 ©EJC 2022 8867/01/J2H1MYE/2022 [Turn over (i) Determine the acceleration in the vertical direction. acceleration = ………………….. m s–2 [2] (ii) Calculate the vertical velocity of the stone at point D. velocity = ………………….. m s –1 [2] (iii) Determine the time of flight from point A to point D. time = …………….……….. s [2] (iv) Shade on Fig. 2.2 the area corresponding to the vertical displacement between point B and D. [1] (v) Mark with an ‘X’ on the line in Fig. 2.2 when the direction of velocity is 45o with respect to the vertical. Briefly explain your answer. ……………………………….…………………………………………………...………………... ……………………………….……………………………………………………………...……... ………………………………….……………………………………………………………..…[2]

6 ©EJC 2022 8867/02/J2H1MYE/2022 3 (a) State the principle of conservation of momentum. ……………………………………………………………………………………………………..………. ………………………………………………………………………………………………………..……. ………………………………………………………………………………………..………………… [2] (b) A bullet of mass 10 g strikes a stationary block horizontally with a speed of 100 m s-1. The block rests on a frictionless surface. The time that elapses from the instant the bullet strikes the block to the instant it just emerges from the other side of the block is 0.030 s. During this time, the bullet’s deceleration is 900 m s-2 and the block’s acceleration is 300 m s-2, both with respect to ground. (i) Calculate the final speeds of 1. the bullet, final speed of bullet = ………….…….. m s -1 [1] 2. the block. final speed of block = ………….…….. m s -1 [1] (ii) Calculate the impulse of the force on the bullet during the collision. impulse = ……………………………. [2]

7 ©EJC 2022 8867/01/J2H1MYE/2022 [Turn over (iii) Determine the mass of the block. mass = ……………….……… kg [2] (iv) Deduce if the collision between the bullet and block was elastic or inelastic. ...…………………………………………………………………………………..………….……… ………………………………………………………………….…………..……………….…… [2] 4 (a) (i) State the conditions for equilibrium for a rigid body. …………………………………………………………………………………………..….. …………………………………………………………………………………………….... ……………………………………………………………………………………………[2]

8 ©EJC 2022 8867/02/J2H1MYE/2022 (ii) A 4.0 m high column has a mass of 180 kg and its centre of gravity X is at a distance of 2.3 m from the base as shown in Fig. 4.1. A group of men was pulling on the rope to provide a tension, T. The rope makes an angle of 35 o to the column and the column itself makes an angle of 45o to the horizontal. Fig. 4.1 1. When the column is held at equilibrium as shown in Fig. 4 .1, show that the moment exerted by the weight of the column about the base is 2.87 x 103 N m. [1] 2. Calculate the tension T in the rope. T = ………………….…… N [2] 3. Sketch on Fig. 4.1 the direction of the force exerted by the ground on the column to keep the column in equilibrium. [1] 4. As the men start to pull the column towards them, the column rotates anti-clockwise. The angle between the column and rope is kept constant. State and explain how the amount of tension required for equilibrium would change before the column is upright. ………………………...…………………………………………………………………………… ……………………………...……………………………………………………………………… …………………………...………………………………………………………………………… ………………………...……………………………………………………………………..… [2]

9 ©EJC 2022 8867/01/J2H1MYE/2022 [Turn over (b) A 5.0g metallic ball bearing is allowed to rest on a spring of elastic constant k = 500 N m-1. The ball is pushed down 2.0 cm from its uncompressed position and then released as shown in Fig. 4.2 (a) and Fig. 4.2 (b). (i) Calculate the maximum height H to which the ball bearing will rise from its lowest position. . H = ……..…………….. cm [2] (ii) Explain clearly the transformation of energy of the ball bearing when it is released from the compressed position of the spring until it reaches the maximum height H. .............……………………………………………………………………………………………… ………………......…………………………………………………………………………………… …………………………………………………………………………………….……………… [2] (iii) Sketch the variations of the different energi