2022 RI Yr 5 CT Sect B QP

© Raffles Institution [Turn over Name: ( ) CT Group: 23S0 RAFFLES INSTITUTION 2022 YEAR 5 JULY COMMON TEST H2 PHYSICS RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITU TION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES I NSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION I Section B INSTRUCTIONS TO CANDIDATES Write your name, index number and CT Group. Write your answers to Section B in the spaces provided in this booklet. For Examiner’s Use Section A MCQ / 15 Section B 16 / 9 17 / 10 18 / 10 19 / 10 20 / 10 21 / 11 22 / 20 Deductions Total / 95 There are 18 printed pages, inclusive of the cover page, in this booklet.

2 © Raffles Institution 16 Drag coefficient is a quantity used to quantify the drag force acting on an object in a fluid environment. A smaller drag coefficient indicates that an object has less aerodynamic drag. The drag coefficient Cd of a steel ball of diameter d and mass m when it falls through a fluid of density ρ at terminal speed v is given by the expression 22 8 d mgC vdπρ= where g is the acceleration of free fall. (a) Determine the SI base units of Cd. SI base units of Cd = [2] (b) In an experiment to determine the drag coefficient of a steel ball falling through air, the following measurements are made: d = (9.6 ± 0.1) mm m = (3.64 ± 0.01) g g = (9.81 ± 0.03) m s−2 ρair = (1.23 ± 0.02) kg m−3 v = (39.8 ± 0.1) m s−1 (i) State the instrument that was used to measure d. [1] (ii) Determine Cd, with its actual uncertainty. Give your answer to an appropriate number of significant figures. Cd = ± [4]

3 © Raffles Institution [Turn over (iii) Suggest two methods to reduce the uncertainty in the measurement of the diameter of the steel ball. 1 2 [2]

4 © Raffles Institution 17 In an attempt to chase his enemy, Captain America rides his motorbike up a ramp inclined at an angle of 30° to jump over 14 identical crates of length 1.5 m and height 1.5 m as shown in Fig. 17.1. The motorbike leaves the ramp at a speed of 15 m s−1. (a) Determine the horizontal and vertical components of the initial velocity of the motorbike. horizonta