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OCR Physics Module P5 SPACE FOR REFLECTION P5a Satellites, gravity and circular motion Satellite a satellite is an object that orbits a larger object in space Orbit gravitational force keeps a satellite in orbit Gravity universal force of attraction between masses; decreases as the masses get further apart Circular motion circular motion requires a centripetal force and that gravity provides the centripetal force for orbital motion Circular motion – acceleration artificial satellites are continually accelerating towards the Earth due to the Earth’s gravitational pull, but their tangential [“straight line”] motion keeps them moving in an approximately circular orbit Orbital period time taken for a satellite to make one complete orbit Orbit of Moon/Earth the Moon remains in orbit around the Earth and the Earth in orbit around the Sun due to gravitational forces between them Orbit of planets the orbit period of a planet depends upon its distance from the sun; orbit is not circular but is a slight ellipse Orbit of comets the variation in speed of a periodic comet during its orbit around the sun is caused by its highly elliptical orbit Gravity universal force of attraction between masses; decreases as the masses get further apart Orbit height the orbit of an artificial satellite depends on its height above the Earth’s surface Satellite orbit orbital period of an artificial satellite increases with height above the Earth’s surface; satellites in lower orbits travel faster because the gravitational force is stronger Satellite use height of orbit of an artificial satellite determines its use Geostationary orbiting satellite high orbit; slower orbit speed; orbits the Earth once in 24 hours around the equator; orbits over ‘fixed point’ on Earth’s surface (Communications; Weather forecasting; GPS) Polar orbiting satellite low orbit; faster orbit speed; orbits the Earth in a few hours over the Poles; covers more area as it orbits the rotating Earth; (Imaging the Earth’s surface; Military uses [‘Spy satellites]) P5b Vectors and equations of motion Scalar quantity Vector quantity Parallel vectors Vectors at right angles Speed Velocity Equations of motion Use equations direction is not important – e.g. speed, mass direction is important – e.g. velocity, force calculate the resultant vector by adding the individual components together calculate the resultant vector by right angle triangle rule [Pythagoras] – H2 = (A2 +O2) scalar quantity; measures how fast an object is moving; s=d/t vector quantity; speed + distance suvat; s= distance (!); u = start speed; v = final speed; a = acceleration: t = time v = u + at; s = (u + v) t v2 = u2 +2as; s = ut + ½ at2 2 P5c Projectile motion Projectiles Trajectory Object moving horizontally Horizontal projection Equations (P5b) Vectors Resultant velocity Forces Downward acceleration Horizontal acceleration P5d Momentum Momentum Momentum – equation Action/reaction Collisions Collisions – forces Force – equation Acceleration and injuries Acceleration and force Safety features in cars Changing momentum Conservation of momentum Events Momentum of collisions P5e Satellite Communication EM spectrum – communication Microwaves Earth’s atmosphere Effect of ionosphere Effect of particles Radio waves Radio/TV reception Diffraction Diffraction – maximum Long wave radio waves FM radio when fired in the air; missiles, cannon balls, golf balls, netballs, darts and long-jumpers path of a projectile; path of an object projected horizontally in the Earth’s gravitational field is curved – parabolic has two components of velocity – horizontal and vertical (ignore air resistance) an object projected horizontally in the Earth’s gravitational field, (ignore air resistance): has a constant horizontal velocity; is accelerating towards the ground so has a steadily increasing vertical velocity use suvat equations for calculations for an object projected horizontally above the Earth’s surface where the gravitational field is still uniform the horizontal and vertical velocities of a projectile are vectors the resultant velocity of a projectile is the vector sum of the horizontal and vertical velocities ignoring air resistance, the only force acting on a ball during the flight is gravity projectiles have a downward acceleration and that this only affects the vertical velocity for a projectile there is no acceleration in the horizontal direction (ignore air resistance) the greater the mass of an object and/or the greater velocity, the more momentum the object has in that direction momentum = mass x velocity every action has an equal and opposite reaction ball struck by an object in sport (e.g. cricket ball and bat) is an example of a collision when an object collides with another object, the two objects exert an equal and opposite force on each other Force = change in momentum ÷ time injuries in vehicle collision and many sporting injuries are due to a very rapid acceleration of parts of the body a rapid acceleration causes a rapid change in momentum and so a large force is exerted crumple zones; seatbelts; airbags; work by increasing the time for change in momentum spreading the change in momentum over a longer time: reduces the forces required to act; reduces the injury momentum is a property that is always conserved; total momentum is the same before and after the event such as collisions; explosions; recoil; rocket propulsion total momentum the same before and after a collision two objects moving in the same direction (including calculations of mass, speed or momentum) em waves used to transmit information – microwaves; radio waves information transmitted using microwaves to orbiting artificial satellites and then retransmitted back to Earth; microwaves are sent as a thin beam because they only diffract by a small amount due to their short wavelength stops some radio frequencies; allows others to pass through; reflects others radio frequencies below 30MHz are reflected by the ionosphere above 30GHz, rain, dust and other atmospheric effects reduce the strength of the signal due to absorption and scattering radio waves have a very long wavelength aerial for radio/terrestrial TV; ‘dish’ for satellite TV waves can ‘spread out’ as they pass an object or pass through a gap; amount of diffraction depends upon the size of the gap and the wavelength of the wave maximum diffraction occurs when the wavelength equals the size of the gap long wave radio waves have a very long range because they diffract around hills and over the horizon shorter range; only to ‘horizon’ AM FM P5f Nature of waves Interference of waves Constructive interference Destructive interference Interference – results Constructive interference Destructive interference Light – as waves Light – diffraction patterns Polarisation Polaroid P5g Refraction of waves Medium Refraction Normal Change in wave speed Change in wavelength Change in direction Refractive index Refractive index – equation Snell’s law Reflection Air to glass Dispersion Refraction and critical angle Total internal reflection (TIR) TIR and refractive index Media and critical angle Critical angle – equation P5h Optics Convex lens Focal length ‘Fat’ lenses Convex lenses uses Real image Ray diagrams Focussing – camera Focussing – projector Virtual images Magnification formula medium wave and long wave radio waves are AM (amplitude modulation); signal transmitted on a carrier wave that has the signal superimposed on it; information transmitted as variation in amplitude of the wave higher frequency waves; higher ‘quality’ signal but shorter range; information transmitted as variation in the frequency of the wave an effect resulting from two waves that overlap areas where the waves add together; patterns of reinforcement areas where the waves subtract from each other; patterns of cancellation louder and quieter areas in sound; bright and dark areas in light number of half wavelengths in the path difference for two waves from the same source is an even number number of half wavelengths in the path difference for two waves from the same source is an odd number diffraction of light and its associated interference patterns are evidence for the wave nature of light stripes of light and dark; explained by interference electromagnetic waves are transverse waves and so can be plane polarised – vibrations in one plane block ‘glare’ from water etc by polarising light being reflected from the surface into one plane a substance that light passes through change in direction of a wave due to the wave passing from one medium into another reference line at 90˚ to the point the wave enters the medium; angles measured from the normal line refraction occurs at the boundary between two mediums due to a change in the wave speed change in speed causes a change in wavelength and may cause a change in direction as a wave enters a denser medium, the wave speed decreases and the wave bends towards the normal refractive index is limited to the amount of bending after a boundary; more dense medium has higher refractive index refractive index = speed of light in vacuum ÷ speed of light in medium refractive index (n) = sin i ÷ sin r; i = angle of incidence; r = angle of refraction some, or all, of a light ray can be reflected when travelling from glass, or water, to air a ray of light travelling from air into glass the angle of incidence is usually greater than the angle of refraction when white light is refracted into the spectrum colours; blue light is deviated more than red light refraction occurs when a ray of light hits a glass/air boundary at an angle less than the critical angle TIR happens when a ray of light hits a glass/air boundary at an angle greater than the critical angle TIR can only occur when a ray of light travels from a medium with a higher refractive index into a medium with a lower refractive index and the angle of incidence is greater than the critical angle different media have different critical angles because of having different refractive index; the higher the refractive index of a medium the lower is its critical angle Sin c = nr ÷ ni ; c = critical angle; ni = refractive index of ‘incident’ medium; nr = refractive index of ‘refraction’ medium () shape; converging lens; converge parallel rays of light onto a single point (focal point/focus) of a convex lens as being measured from the centre of the lens to focal point (focus) have short focal lengths magnifying glass; cameras; projectors projectors and cameras produce real images on a screen/film; image can be projected; image inverted (upside down) find the position and size of the real image formed by a convex lens by drawing suitable ray diagrams images produced by cameras are focussed by moving the lens closer to /further from the film/sensors images produced by cameras and projectors are focussed by moving the lens closer/further to the object cannot be projected onto a screen but are the right way up magnification = image size ÷ object size