CAPE Physics Unit 1 · 2003 · Paper 2
64 questions and parts from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.
- 1(a)3 marksDetermine the average of these results and write down the value of the time that should be used in calculations. Include an estimate of the uncertainty in this value.
- 1(b)3 marksFind the value for the acceleration due to gravity from this experiment.
- 1(c)2 marksDistinguish between 'systematic' and 'random errors'.
- 1(d)1 markHow might random errors be reduced in this case?
- 1(e)1 markIdentify ONE source of a systematic error in this experiment.
- 2(a)4 marksPlot a suitable graph using the axes on page 7 to allow you to determine the values of a and n.
- 2(b)2 marksUse the graph to find the value of n.
- 2(c)2 marksUse your value of n to find a.
- 2(d)2 marksSuggest an accurate means of determining the time period, T.
- 3(a)2 marksExplain why the graph for the first 275 s is NOT a straight line.
- 3(b)3 marksThe power of the heating element in the kettle is 1.6 kW. If the heat losses are ignored, what value would the data give for the specific heat capacity of water.
- 3(c)2 marksThe accepted value for the specific heat capacity of water is 4 200 J kg^-1 K^-1. Suggest TWO ways of improving the accuracy of the value determined in (b) above.
- 3(d)3 marksDescribe how the specific latent heat of vaporization could be determined using this same apparatus.
- 4(a)4 marksDerive the equation for circular motion, a = rω², where a is the centripetal acceleration, ω is the angular velocity and r the radius of the circle.
- 4(b)(i)10 marksState Newton's law of universal gravitation.
- 4(b)(ii)1 markThe Moon orbits the Earth in a circle of radius 400 000 km. Considering only these two objects, state what force or forces act on the Moon and explain how Newton's third law of motion applies to the system.
- 4(b)(iii)1 markFind the time for ONE complete revolution of the Moon about the Earth.
- 4(c)(i)6 marksCalculate the angular velocity, ω, and centripetal acceleration of the mass.
- 4(c)(ii)1 markFind the centripetal force acting on the mass and the tension in the string.
- 5(a)(i)a)8 marksWhat is kinetic energy?
- 5(a)(i)b)1 markWhat is potential energy?
- 5(a)(ii)1 markA body of mass m starts from rest and acquires a velocity, v. Show that the kinetic energy of the mass, m, is given by E_k = (1/2)mv².
- 5(a)(iii)a)1 markWhat energy change takes place when a ball bearing is falling at its terminal velocity?
- 5(a)(iii)b)1 markWhat causes this energy change to take place?
- 5(b)(i)6 marksHow is the force on the ball different when its value is +4 N?
- 5(b)(i)b)1 markHow is the force on the ball different when its value is -4 N?
- 5(b)(ii)1 markFind the work done on the box during the first 5 m of movement.
- 5(b)(iii)1 markFind the kinetic energy of the box after it has moved 8 metres.
- 5(c)(i)6 marksCalculate the speed at which any object will reach the ground after being released from rest from a height of 11 000 m. (Air resistance may be neglected in this calculation).
- 5(c)(ii)1 markAn aeroplane of mass 170 x 10³ kg cruises at 900 km hr⁻¹ (250 m s⁻¹). The maximum permitted landing speed is 180 km hr⁻¹ (50 m s⁻¹). Determine the kinetic energy that must be 'lost' before landing.
- 6(a)(i)5 marksDefine the terms 'longitudinal wave' and 'frequency'.
- 6(a)(ii)1 markSketch and label graphs to represent displacement against position for the wave above.
- 6(a)(ii)b)1 markSketch and label graphs to represent displacement against time, for the wave above.
- 6(a)(iii)1 markFor EACH graph drawn in (a)(ii) insert the scale on the horizontal axis.
- 6(b)(i)8 marksExplain the terms 'intensity of sound' and 'threshold of hearing'. State the intensity level, in dB, for the threshold of hearing.
- 6(b)(ii)a)1 markDeduce the intensity of the sound from a motor-bike where the intensity level is 80 dB.
- 6(b)(ii)b)1 markA person's ear collects sound from an effective area of 0.4 cm². What is the power incident on the ear at the threshold of hearing?
- 6(c)4 marksCalculate the lengths at which a tuning fork of 280 Hz would produce resonance. Ignore end connections. (Speed of sound = 340 m s⁻¹)
- 6(d)3 marksFor a string of mass 1.6 x 10⁻³ kg and length 0.80 m find its fundamental frequency when a mass of 1 kg is hung from its end.
- 7(a)(i)8 marksState the conditions necessary to observe interference of light using TWO sources of light.
- 7(a)(ii)1 markDescribe a demonstration of Young's double slit inference.
- 7(a)(iii)1 markState the formula for the fringe spacing and state the meaning of EACH of the terms used.
- 7(b)(i)12 marksCalculate the wavelength of the light used and state its colour.
- 7(b)(ii)1 markState whether or not there would be a bright or dark fringe at the centre of the pattern and explain your answer.
- 7(b)(iii)1 markDescribe what would be seen if ONE slit were to be covered by an opaque material.
- 7(b)(iv)1 markDescribe the effect of replacing the monochromatic light source with one of white light when using BOTH slits.
- 7(b)(v)1 markWhat would be the effect on the fringes of gradually increasing the width of the single source slit?
- 8(a)(i)a)8 marksState THREE assumptions made in the kinetic theory of gases.
- 8(a)(i)b)1 markExplain how the kinetic theory is used to explain the pressure in a gas.
- 8(a)(ii)1 markThree molecules have speeds of v, 4v and 8v. What is their mean speed and root mean square (r.m.s.) speed?
- 8(b)(i)12 marksCalculate the thermal energy supplied to the gas.
- 8(b)(ii)1 markCalculate the change in volume of the gas.
- 8(b)(iii)1 markCalculate the work done by the gas as it expands.
- 8(c)(i)1 markWhat is the increase in internal energy?
- 8(c)(ii)1 markFind the molar heat capacity at constant volume for oxygen. (Molar heat capacity at constant pressure = 29 J mol⁻¹ K⁻¹)
- 9(a)(i)a)8 marksDefine the following terms: Density
- 9(a)(i)b)1 markDefine the following terms: Pressure
- 9(a)(ii)1 markDerive the equation ΔP = ρgΔh where ΔP is the change in pressure in a liquid, g is the acceleration due to gravity and Δh is the change in depth in a liquid.
- 9(a)(iii)1 markExplain how coastal winds are generated in the Caribbean.
- 9(b)2 marksUse the kinetic theory of matter to explain the difference in the order of the size of these densities.
- 9(c)(i)10 marksCalculate the pressure due to Liquid L at depths of 3.0 cm and 14.0 cm.
- 9(c)(ii)1 markFind the net force acting on the Liquid L between planes AA₁ and BB₁.
- 9(c)(iii)1 markDetermine the weight of liquid between the planes AA₁ and BB₁.
- 9(c)(iv)1 markWhat is the upthrust on an object which when placed in the Liquid L, caused the liquid level to rise from BB₁ to AA₁?