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OCR GCSE Physics Homework Mark Scheme P5a&P5b Foundation & Higher 8 1 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics 5 P5a Orbits Foundation 1 2 3 4 5 (a) a satellite is an object that orbits a larger object in space [1] (b) an artificial satellite has been man made whereas a natural satellite has been formed by nature [1] (c) the Moon, any man-made satellite e.g. Metostat [2] centripetal force, it acts towards the centre of the circle. [2] force due to gravity [1] but a better answer would be: the gravitational force provides the centripetal force [2] (a) the gravitational force, provides the centripetal force, needed to keep the shuttle and satellite in a circular orbit [3] (b) the time period will get longer [1] (a) answer same as 5(a) higher [any 5] (b) answer same as 5(b) higher [3] (c) answer same as 5(c) higher [any 6] Higher 1 2 3 4 Homework Mark Scheme P5a&P5b Foundation & Higher force due to gravity but a better answer would be: the gravitational force provides the centripetal force (a) Size of each mass, distance between the masses. (b) It is a quarter as strong. Sketch of an ellipse with the Sun at one focus, arrows moving towards and away from Sun (a) point nearest to Sun labelled fastest, point furthest from Sun labelled slowest (b) somewhere on part of path moving away from the Sun labelled gravitational force decreasing (a) the gravitational force, provides the centripetal force, to keep the shuttle and satellite in a circular orbit. (b) mass gets less, therefore the gravitational force gets less (c) gravity gets less because of greater distance. Time period gets longer [1] (a) answer should include: geostationary orbits are: higher, always above the same point on the Earth’s surface (NOT stationary above Earth), time period is 24 hours, always above the equator polar orbits are much lower, gradually pass over all the Earth, time period only a few hours, goes over both poles. [any 5] (b) transmitters and receivers only need point to one position in the sky, possible to transmit information between two points on the Earth 24 hours a day, only require three satellites to cover the whole of the Earth. [3] (c) Geostationary Polar communications weather e.g. TV, radio, telephone military weather forecasting e.g. spying GPS Earth watch e.g. land use, ice cap etc [any 6] (d) 35 800 km [1] (e) Lower orbits mean the gravitational force is greater, therefore the satellite has to travel faster. [2] P5b Vectors and equations of motion Foundation [2] [3] [1] [1] [1] [1] 1 (a) 2 m/s (b) 8m/s 2 speed only has a size velocity has a size and a direction 3 (a) 8 N to the right (b) 80 m/s to the left (c) 50 N to the right 4 40 m/s 5 24 m [2], [1] [1] [1] [2] [2] [2] [4] [4] Higher [1] [3] [2] [2] 1 264.8 m/s bearing 190.9º/angle 10.9º 2 speed only has a size velocity has a size and a direction 3 (a) 8 N to the right (b) 80 m/s to the left (c) 50 N to the right 4 24 m 5 300 m [2] [2] [1] [1] [2] [2] [2] [4] [4] 2 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Homework Mark Scheme P5c&P5d Foundation & Higher P5c Projectiles Foundation 1 2 3 4 5 6 diagram showing a parabolic path parabola any list of 10, e.g. golf balls, javelin, etc. gravity because there are no horizontal forces because the force of gravity acts vertically downwards [1] [1] [5] [1] [1] [1] Higher 1 2 3 4 5 6 7 8 3 4 gravity there is no horizontal force because gravity only acts downwards 80 m (a) 3.2 s (b) 18.75 m/s (c) 32 m time to fall = 0.63 s horizontal velocity = 31.6 m/s resultant velocity = 12.2 m/s angle = 55° (a) 80 m (b) 40 m/s (c) 20 m/s (d) 44.7 m/s at an angle of 63° [1] [1] [1] [2] [2] [2] [2] [1] [2] [2] [2] [2] [2] [2] [4] P5d Force and momentum Foundation 1 2 (a) action of man on scales, reaction of scales on man; it will be a bonus if also action of scales on floor and reaction of floor on scales (b) two sets of action and reaction pairs, one pair between beam and rope and one pair between rope and weight. (c) two sets of action and reaction, one at each end of the rope between the boy and 5 6 7 [2] [2] [2] [2] [1] [4] [2] [2] [1] [1] [2] Higher 1 2 3 4 5 6 7 [2] the rope. Some may draw the action and reaction between the boys and the ground (d) action of gases coming out of the back of the rocket and the reaction of the these gases on the rocket explanation of any type of bat and ball collision, e.g. cricket bat and ball. The ball exerts an action on the bat and the bat exerts an equal and opposite reaction on the ball one car exerts a force on the other car and the second car exerts an equal and opposite reaction on the first mention should be made of seatbelts, crumple zones and airbags. How each of these increase the time over which an accident occurs and this decreases the acceleration (deceleration) and therefore reduces the force on the passenger rapid acceleration must mean a large force on the body and therefore the risk of injury mass and velocity, if either increases then momentum increases (a) 48 000 kg m/s (b) 16 000 kg m/s (c) longer time period and therefore less acceleration and less force same as in Q1 foundation same as in Q4 foundation same as in Q5 foundation (a) 48 000 kg m/s (b) 16 000 kg m/s (c) 8000 N 3.25 m/s 5 m/s gases exert an equal and opposite reaction on rocket, gases have a large velocity, therefore have a high change in momentum backwards, this must be equal to the change in momentum of rocket forwards. 3 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. [8] [4] [2] [2] [2] [2] [3] [3] [4] OCR GCSE Physics Homework Mark Scheme P5e&P5f Foundation & Higher 4 P5e Communications + radio wave (carrier wave) Foundation 1 (a) [1] = 3 (b) diffraction (c) they are reflected frequencies above 30 GHz absorbed by gases and rain, scattered by dust they are transmitted to a satellite that retransmits it back to Earth [4] [1] [1] Foundation 1 [2] [1] [1] 2 3 2 1 4 transmitter 5 4 they are both electromagnetic waves, both transverse microwaves higher frequency, radio waves diffract in atmosphere, radio waves reflected off ionosphere [2] 6 [2] Higher 1 Frequencies above 30 GHz absorbed by gases and rain scattered by dust 2 They are transmitted to a satellite which retransmits it back to Earth 3 Radio waves are diffracted more because of longer wavelength [1] [2] [1] [1] [1] [1] [1] [1] [1] [1] P5f Interference satellite receiver amplitude modulated radio wave sound wave converted to electrical signal is added to an EM wave called the carrier, receiver has a circuit to recover signal hill 2 sound wave (changed into an electrical wave) they interfere, if trough meets a trough or a crest meets a crest then a large wave is produced, but if a trough meets a crest then no wave motion is observed [3] we need a very narrow slit, about the same size as the wavelength of light, width of door is too great [3] (a) rotate a sheet of polarised glass/plastic in front of windscreen, and it should go from allowing light through to no light [2] (a) transverse vibrations, in all directions [2] (b) place one sheet of polariser in the path of the light. [1] they interfere, if trough meets a trough or a crest meets a crest then a loud sound is heard, but if a trough meets a crest then no sound (silence) is observed [3] (a) if the same frequency they could interfere and produce no signal [2] (b) if the same then the incoming signal could interfere with the transmitted signal [2] only waves cause interference [1] Higher 1 2 3 5 same as Q3 in foundation [5] loud note produced by troughs arriving with troughs and with crests arriving with crests, in phase, constructive interference, path difference a whole number of waves [4] silence produced by trough arriving with a crest, out of phase, destructive interference, path difference an odd number of half waves [4] same as Q5 foundation [4] same as Q6 foundation [1] 4 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Homework Mark Scheme P5g&P5h Foundation & Higher (b) P5g Refraction Foundation Strictly speaking the phrase ‘total internal reflection’ does not appear in the foundation specification and so questions 1(c) and 4 could be answered without reference to TIR. 1 2 optical fibre (c) must be travelling in the more dense medium, must be incident at an angle greater than the critical angle (a) bends, refraction, speed (b) more, dispersed, blue, red (c) critical, totally internally reflected, critical, fibre, endoscopes (a) angle of incidence [3] [3] [5] [3] angle of refraction 3 [2] (b) it slows down (c) towards the normal (d) the refractive index (a) Higher 1 2 3 4 5 6 same as Q2 foundation same as Q3 foundation same as Q4 foundation n=2 19.5º when the fibre is in air the critical angle in the glass 41.8º (sin C = 1/1.5), when the fibre is in water the critical angle in the glass increases to 60.1º (sin C = 1.3/1.5) [1] [1] [1] [2] red white light 4 blue (b) each colour travels at a different speed or has a different refractive index (c) dispersion most (a) [2] [1] [1] [3] refracted air glass little reflection Less than critical angle air glass Equal to critical angle air glass all reflected Greater than critical angle © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. 5 of 15 [2] [2] [4] OCR GCSE Physics Homework Mark Scheme P5g&P5h Foundation & Higher P5h Optics Foundation 1 lines converging from both lenses focal length shorter for fatter lens [2] [1] F F 2 coming together 3 (a) object between f and 2f of lens (b) object closer than f of lens 4 distance between lens and film changes [1] [1] [1] [1] Higher 1 2 3 (a) object between f and 2f of lens (b) object closer than f of lens distance between lens and film changes (a) suitable diagram [1] [1] [1] [2] convex lens 6.7 cm 1.5 cm 2.5 cm F image object 4 cm 2.5 cm 2.5 cm 4 (b) 5.5 cm, 2 cm high (c) object closer than 2f 50 cm by 25 cm [2] [1] [2] 6 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz: answers P5a Foundation and Higher Orbits and satellites 1 Fill in the gaps below using the words from the list: geostationary communications polar greater [F/H] lower imaging gravity The Moon, just like man made satellites, orbits the Earth due to the force of gravity. The higher a polar satellite’s orbit the greater the orbital period. A geostationary satellite remains in a fixed position above the Earth’s surface. An example of a satellite that uses a geostationary orbit is one used for communications. 2 True or false? Put T or F in the boxes The higher the orbit the faster a satellite travels. Imaging satellites are in geostationary orbits. A geostationary satellite orbits the equator in 24 hours. Gravity provides the centripetal force for orbital motion. 3 [F/H] F F T T There are a number of errors in the following paragraph. Spot them and correct them in the space below. [H] The force of gravity can explain the orbits of planets and their satellites as well as objects such as comets. As a comet gets closer to the Sun its speed increases as ice melts and its mass decreases. The orbital period of a satellite (how fast it travels around the planet) increases with the distance from the surface. Low polar satellites orbit in many days as the force of gravity is greater closer to the planets. Satellites do not fall to the Earth because gravity keeps them moving at an approximately circular orbit. (a) A comet’s speed increases as the gravitational force increases. (b) The orbital period is the time taken to orbit. (c) Low polar satellites orbit in a few hours. (d) Satellites do not fall as their tangential motion keeps the orbit circular. 7 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz answers P5b Foundation and Higher Vectors and equations of motion 1 Complete the following crossword by filling in the missing words below to find an acronym for equations of motion. 1 2 D E C V A E I Q 3 4 S 5 2 L C S U V A T T A E R O A T L [F/H] N I O C O C E N I S T Y R 1 Distance can be calculated by multiplying the average velocity by the time. 2 There are four equations of motion. 3 Velocity is speed in a given direction. 4 Mass and temperature are scalar quantities. 5 Force and velocity are vector quantities. The equations of motion are often known as the ‘suvat’ equations because s stands for DISTANCE measured in metres (m). u stands for ORIGINAL VELOCITY measured in metres per second (m/s). v stands for FINAL VELOCITY measured in metres per second (m/s). a stands for ACCELERATION measured in metres per second squared (m/s2) t stands for TIME measured in seconds (s). 3 Are the following statements true or false? Put T or F in the boxes. Speed is a measure of how fast an object is moving. Direction is important when measuring speed. If two cars approach each other on a straight road then their relative speed decreases. Average speed can be calculated by multiplying the total distance travelled by the time taken. In vector quantities direction is important. 4 [F/H] [F] T F F F T A car starting from rest steadily increases its speed up to 20 m/s in 5 s. How far has it travelled? [F/H] s = (u + v)t/2 s = (0 + 20)5/2 answer = 50 m 5 A body with a velocity of 4 m/s has an acceleration of 5 m/s2 for 10 s. What is its final velocity? [F/H] v = u + at 8 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz answers P5b Foundation and Higher v = 4 + 5 x 10 answer = 54 m 6 A car starting from rest has an acceleration of 4 m/s2. How long does it take to travel a distance of 200 m? 1 [H] 2 s = ut + /2at 200 = 0 + 1/2x4 t2 t2 = 200/2 answer = 10 s 7 A body with an initial velocity of 10 m/s has an acceleration of 2 m/s2. What is its velocity after it has travelled 11 m? 2 [H] 2 v = u + 2as v2 = 102 + 2x2x11 answer = 12 m/s 8 Draw lines between the boxes in the left-hand column and the correct answer in the right-hand column. The resultant of two parallel vectors travelling in the same direction is… equal to the difference between the two vectors and in the direction of the largest vector. The resultant of two vectors at right angles to each other is… VR2 = Va2 + Vb2 The resultant of two parallel vectors pointing in opposite directions is... equal to the sum of the two vectors and is in the same direction as the original vectors. The resultant of two vectors at right angle to each other can be calculated using the equation… equal to the diagonal of the rectangle drawn to scale using the vectors as the sides of the rectangle. [H] 9 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz: answers P5c Foundation and Higher Motion of falling objects 1 Fill in the gaps using the words from the list horizontal constant accelerating [F/H] air resistance force increases When we talk about the velocity of falling objects we ignore air resistance. If this is ignored then the only force acting on the object is gravity. The horizontal velocity of falling objects is constant and the vertical velocity of the object increases. If the object’s speed increases we say it is accelerating. As gravity only acts downwards it has no affect on the horizontal velocity of the object. 2 A boy drops a stone from a bridge over a river and his friend throws a similar stone horizontally into it at the same time. [F/H] Complete these sentences: (a) We say that the thrown stone has constant horizontal velocity because we ignore air resistance. (b) Both stones hit the water at the same time because the only force on both stones is gravity. 3 The following sentences regarding projectiles have been mixed up. Connect them up so they make correct statements. [H] The resultant velocity of a projectile in the horizontal direction. Near the surface of the Earth is the vector sum of the horizontal and vertical velocities. There is no acceleration the gravitational field is uniform. 10 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz: answers P5d Foundation and Higher Momentum 1 Fill in the gaps using words from the list. Choose four different words from the list. force energy momentum movement acceleration increase [F/H] decrease If you multiply an object mass and velocity together you calculate a property called momentum. Sporting injuries are often caused by a rapid acceleration of parts of the body. Crumple zones reduce injuries as the force of a collision is reduced. This is reduced because as the zone crumples it increases the time of the collision. 2 Solve the clues across. The shaded column is a word that is central to this item. 6 V E 2 3 C R 4 5 L O C 7 R E 8 T 1 F U S I I D I M O M E N T U M A R P A J Y C E S C L T U S E E E S R [H] Y 1 The more of this an object has the more momentum it has. 2 Reducing this in collisions reduces the chance of serious damage to passengers. 3 This zone absorbs the energy during front or rear end collisions. 4 What type of belt stops passengers colliding with hard surfaces on the dash board. 5 This is reduced when air bags are deployed. 6 Reducing this slowly reduces deceleration. 7 Spreading the change in momentum over a longer time does this to the forces in collisions. 8 All safety features increase this during collisions. 11 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz answers P5e Foundation and Higher Long distance communication 1 Complete the following crossword. 1 8 2 3 R [F/H] A D I O 2 I O N O S P H E 3 R E F L E C T I O N 4 5 D I F F R A C T I O A E R I A L 6 G A P 7 M I C R O W A V E S S C A T T E R E D R E N 1 These waves are very suitable for broadcasting. 2 Radio waves can be reflected off this part of the atmosphere. 3 This occurs when light hits a mirror or water waves hits a hard surface. 4 This occurs when a wave travels through a narrow gap. 5 Radios require one of these to collect radio signals. 6 When this gets bigger then the amount of diffraction gets less. 7 Satellites use this type of wave for communication. 8 This happens to some electromagnetic waves when they meet dust. Answer these questions True or false. Put T or F in the boxes. [F/H] Radio waves of frequency below 30 MHz can be reflected by the ionosphere. T Radio waves cannot be diffracted around the curve of the Earth. F Radio waves have a longer wavelength than microwaves. T Satellites use radio waves and not microwaves for communication. F Explain what is wrong with the following statements: [H] (a) Microwaves are sent as thin beams because they have long wavelengths. They have a short wavelength and only diffract a small amount. (b) Minimum diffraction occurs when the wavelength equals the size of the gap. Maximum diffraction occurs. (c) In amplitude modulation the radio wave is the signal and the sound wave is the carrier. The radio wave is the carrier and the sound wave is the signal. (d) Microwaves diffract more than radio waves because of their longer wavelength. Radio waves have the longest wave and therefore diffract the most. 12 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz: answers P5f Foundation and Higher Nature of waves 1 Fill in the gaps using words from the list. Choose four different words from the list. destructive larger interference cancel crests constructive [F/H] trough Interference occurs between waves when they overlap. When the crest of one wave arrives at a point at the same time as a trough from another they are out of phase and cancel each other out. This is known as destructive interference. If two crests or two troughs arrive at the same time they are in phase, adding together to form a larger wave. This is known as constructive interference. 2 3 True or false? Put T or F in the boxes. [H] Diffraction patterns are proof that light acts like a stream of particles. F An even number of half wavelengths leads to destructive interference. F Light can be polarised as it is a transverse wave. T Interference patterns are due to light being diffracted. T Complete these sentences [H] Unpolarised light vibrates in all directions. After passing through a polarising filter the whole wave is contained in just one plane. A second filter will allow light to pass through if it is lined up with the first. The wave is blocked if the second filter is turned through 90 degrees. When light reflects off water it is part polarised because more waves are reflected parallel to the surface. Polaroid lenses reduce glare because they block reflections from a horizontal surface such as water. 13 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz: answers P5g Foundation and Higher Refraction and TIR 1 Solve the clues across. The shaded column is a scientific word of which a rainbow is one. [F/H] 2 5 I N C I D D 7 2 1 S P E E D I S P E R S I O N 3 R E F R A C T I O 4 C R I T I C A L N T 6 R E D O U N D A R Y 8 M E D I U M E B N 1 This changes when a wave reaches a boundary. 2 This effect produces a rainbow when white light goes through a prism. 3 This happens at a boundary when the incident angle is small. 4 At this angle light travels along the boundary. 5 This is the angle between the normal line and the wave going towards a boundary. 6 The colour that is refracted the least through a prism. 7 The junction between air and plastic is an example of a ___________ 8 The scientific name for the stuff a wave is travelling through. True or false? Put T or F in the boxes. Refraction occurs at a boundary due to the change in a wave’s frequency. When a wave’s speed decreases it bends towards the normal. 3 [F/H] F T Waves refract the most when there is a small change in speed. F Dispersion occurs because colours have different wave speeds. T Fill in the gaps using words from the list. Choose four different words from the list. higher lower greater lower [H] higher Total internal reflection can only occur when a ray of light travels from a medium with a higher refractive index into a medium with a lower one. Also the angle of incidence must be greater than the critical angle. The higher the refractive index of a medium the lower its critical angle. 14 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original. OCR GCSE Physics Self-assessment quiz: answers P5h Foundation and Higher Lenses 1 Complete the following ray diagram and mark the focal point on the diagram. [F/H] focal point 2 Complete the following sentences using the words given. convex real converging focal length smaller [F] centre (a) A convex lens sometimes known as a converging lens. (b) The distance from the centre of the lens to the focal point is known as the focal length. (c) A thick lens will have smaller focal length than a thin lens. (d) Cameras and projectors both use convex lenses and produce real images. 3 Complete the following ray diagram by drawing two rays from the top of the object to the top of the image. [H] F = focal point F 4 A convex lens produces an image 8 cm high of an object that was originally 4 cm high. Calculate the magnification. [H] x2 5 How would you adjust a camera lens to produce a focused image on the film? [F/H] By moving the lens towards or away from the film (not the object!) 15 of 15 © Harcourt Education 2006, OCR Gateway Science This document may have been altered from the original.