AQA GCSE Physics 3-1b Turning Forces Circular, Satellite & Planetary Motion GCSE Physics pages 222 to 233 April 10th 2010 AQA GCSE Specification CIRCULAR MOTION 13.2 What keeps bodies moving in a circle? Using skills, knowledge and understanding of how science works: • to identify which force(s) provide(s) the centripetal force in a given situation • to interpret data on bodies moving in circular paths. Skills, knowledge and understanding of how science works set in the context of: • When a body moves in a circle it continuously accelerates towards the centre of the circle. This acceleration changes the direction of motion of the body, not its speed. • The resultant force causing this acceleration is called the centripetal force. • The direction of the centripetal force is always towards the centre of the circle. • The centripetal force needed to make a body perform circular motion increases as: – the mass of the body increases; – the speed of the body increases; – the radius of the circle decreases. SATELLITE AND PLANETARY MOTION 13.3 What provides the centripetal force for planets and satellites? Using skills, knowledge and understanding of how science works: • to interpret data on planets and satellites moving in orbits that approximate to circular paths. Skills, knowledge and understanding of how science works set in the context of: • The Earth, Sun, Moon and all other bodies attract each other with a force called gravity. • The bigger the masses of the bodies the bigger the force of gravity between them. • As the distance between two bodies increases the force of gravity between them decreases. • The orbits of the planets are slightly squashed circles (ellipses) with the Sun quite close to the centre. • Gravitational force provides the centripetal force that allows planets and satellites to maintain their circular orbits. • The further away an orbiting body is the longer it takes to make a complete orbit. • To stay in orbit at a particular distance, smaller bodies, including planets and satellites, must move at a particular speed around larger bodies. • Communications satellites are usually put into a geostationary orbit above the equator. • Monitoring satellites are usually put into a low polar orbit. Circular Motion An object requires a force for it to move along a circular path. If this force is removed the object will continue to move along a straight line tangentially to the circle. Centripetal Force CENTRIPETAL FORCE is the general name given to a centrally directed force that causes circular motion. Tension provides the CENTRIPETAL FORCE required by the hammer thrower. Other examples of centripetal force Situation Centripetal force Earth orbiting the Sun GRAVITY of the Sun Car going around a bend. FRICTION on the car’s tyres Airplane banking (turning) PUSH of air on the airplane’s wings ELECTROSTATIC attraction due to opposite charges Electron orbiting a nucleus Factors affecting centripetal force Centripetal force INCREASES if: - the object is moved FASTER - the object’s mass is INCREASED. - the radius of the circle is DECREASED. Choose appropriate words to fill in the gaps below: circular An object will only move along a __________ path if it is force constantly acted on by a centripetal _________. The force is towards always directed __________ the centre of the circular path. increases Centripetal force ___________ if the object moves in a smaller radius path or at a __________ speed. greater centripetal force is the Moon orbiting the An example of a _________ gravitational Earth due to the Earth’s _____________ pull on the Moon. WORD SELECTION: gravitational force greater circular towards centripetal increases Circular motion Notes questions from pages 222 & 223 1. 2. 3. 4. 5. 6. 7. 8. Explain why an object moving in a circle has a centrally directed acceleration by copying the bullet points below Figure 2 on page 222. Copy and answer question (a) on page 222. What is a ‘centripetal force’? Give two examples of centripetal force. Copy and answer question (b) on page 223. What factors affect the size of the centripetal force acting on an object moving in a circle? Copy and answer question (c) on page 223. Copy the ‘Key points’ table on page 223. Answer the summary questions on page 223. Circular motion ANSWERS In text questions: (a) It would fly off at a tangent. (b) The force of gravity due to the Earth on it. (c) There is much less friction so the centripetal force is less and the car must go slower. Summary questions: 1. (a) D, C. (b) C, B. 2. (a) Friction. (b) Pull (tension). (c) Gravity. (d) Electrostatic force. Circular Motion Simulations Ladybug Revolution - PhET - Join the ladybug in an exploration of rotational motion. Rotate the merry-go-round to change its angle, or choose a constant angular velocity or angular acceleration. Explore how circular motion relates to the bug's x,y position, velocity, and acceleration using vectors or graphs. Motion in 2D - PhET - Learn about velocity and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle). See the velocity and acceleration vectors change as the ball moves. Motion produced by a force - linear & circular cases - netfirms Uniform circular motion - Fendt Carousel - centripetal force - Fendt Relation between speed and centripetal force - NTNU Vertical circle & force vectors - NTNU Circular Motion & Centripetal Force - NTNU Inertia of a lead brick & Circular motion of a water glass - 'Whys Guy' Video Clip (3 mins) (2nd of 2 clips) Gravitational attraction Gravity is a force exerted by all objects on each other. Gravitational force: - is always attractive - increases if the mass of the objects is increased - decreases if the distance between the objects is increased Gravitational field strength Gravitational field strength is equal to the force exerted on an object of mass 1kg. On the Earth’s surface the gravitational field strength is about 10 N/kg Moon’s surface = 1.6 N/kg Mars’ surface = 3.7 N/kg Weight is the force of gravity on an object. Complete Answers Surface Field Strength (N/kg) Object mass (kg) Object weight (N) Earth 10 80 800 Moon 1.6 80 128 Mars 3.7 200 740 Jupiter 25 60 1500 Pluto 0.07 80 5.6 Choose appropriate words to fill in the gaps below: objects on each other Gravity is a force exerted by all ________ masses because of their ________. decreases if the distance between the Gravitational force __________ increases if their masses are objects is increased but __________ increased. weight _________ is the force of gravity on an object. On the Earth’s newtons surface an object of mass 1kg has a weight of 10 __________. The Moon’s gravity is about one sixth the strength of the mass Earth’s because its _________ is much lower. WORD SELECTION: increases newtons masses objects mass decreases weight Gravitational attraction Notes questions from pages 224 & 225 1. 2. 3. 4. 5. 6. 7. 8. State Newton’s rules on gravity. Copy and answer questions (a) and (b) on page 224. Describe how the force of gravity on a space vehicle changes as it travels from the Earth to the Moon. Copy and answer question (c) on page 224. Define what is meant by ‘gravitational field strength’. Show that a mass of 200 kg weighs approximately 32 N on the Moon. Copy and answer question (d) on page 225. Copy the ‘Key points’ table on page 225. Answer the summary questions on page 225. Gravitational attraction ANSWERS In text questions: (a) The force of gravity on it due to the Sun. (b) Their mass is too small. (c) The force of gravity on the Moon is less, so less energy would be needed to escape from the Moon. (d) The force of gravity due to the Earth. Summary questions: 1. (a) Increases (b) Stays the same (c) Decreases. 2. (a) The force of gravity is less on the Moon so it is easier for the astronaut to move up and down. (b) The force of gravity is less on the Moon so the ball can go higher for the same change of gravitational potential energy. Gravity Simulations Free-fall Lab - Explore Science Galileo Time of Fall Demonstration - 'Whys Guy' Video Clip (3 mins) - Time of fall independent of mass - Leads slug and feather with and without air resistance. (1st of 2 clips) Distance Proportional to Time of Fall Squared Demonstration - 'Whys Guy' Video Clip (3:30 mins) - Falling distance proportional to the time of fall squared. (2nd of 2 clips some microphone problems) Lunar Lander - PhET - Can you avoid the boulder field and land safely, just before your fuel runs out, as Neil Armstrong did in 1969? Our version of this classic video game accurately simulates the real motion of the lunar lander with the correct mass, thrust, fuel consumption rate, and lunar gravity. The real lunar lander is very hard to control. Moonlander Use your thrusters to overcome the effects of gravity and bring the moonlander safely down to earth. BBC KS3 Bitesize Revision: Mass and gravity Weight Planetary orbits The orbits of the planets are slightly squashed circles (ellipses) with the Sun quite close to the centre. The Sun lies at a ‘focus’ of the ellipse Planets move more quickly when they are closer to the Sun. faster slower The above diagram is exaggerated! The time taken for a planet to complete one orbit increases with its distance from the Sun. Mercury 88 days Venus 225 days Earth 1 year Mars 2 years Jupiter 12 years Saturn 29 years Uranus 84 years Neptune 165 years Planetary orbits Notes questions from pages 226 & 227 1. 2. 3. 4. 5. 6. 7. Copy the table on page 227. (a) What force is responsible for planetary motion? (b) Why is this force an example of centripetal force? Explain how orbital speed affects the shape of a planet’s orbit. State how (a) the speed and (b) the time taken to complete one orbit depends on a planet’s distance from the Sun. Copy and answer questions (a) and (b) on pages 226 and 227. Copy the ‘Key points’ table on page 227. Answer the summary questions on page 227. Planetary orbits ANSWERS In text questions: (a) There would probably be a bigger variation of temperature each year. The tides would be more variable. (b) Its orbit is about 5 times bigger and it takes about 12 times longer, so it must travel slower than the Earth. Summary questions: 1. (a) Satellite, Earth. (b) Earth (c) Satellite, Earth. (d) Planet, Sun. 2. (a) (i) Jupiter (ii) Venus (b) 49 km/s Planetary Motion Simulations My Solar System - PhET- Build your own system of heavenly bodies and watch the gravitational ballet. With this orbit simulator, you can set initial positions, velocities, and masses of 2, 3, or 4 bodies, and then see them orbit each other. Multiple planets - 7stones Planet orbit info - Fendt Orrery of Inner Solar System - CUUG The Solar System - Powerpoint presentation by KT Solar system quizes - How well do you know the solar system? This resource contains whiteboard activities to order and name the planets corrrectly as well as a palnet database - by eChalk Hidden Pairs Game on Planet Facts - by KT - Microsoft WORD Fifty-Fifty Game on Planets with Atmospheres - by KT - Microsoft WORD Fifty-Fifty Game on Planets that are smaller than the Earth - by KT - Microsoft WORD Sequential Puzzle on Planet Order - by KT - Microsoft WORD Sequential Puzzle on Planet Size - by KT - Microsoft WORD Projectile & Satellite Orbits - NTNU Kepler Motion - NTNU Kepler's 2nd Law - Fendt Two & Three Body Orbits - 7stones Orbits - Gravitation program BBC KS3 Bitesize Revision: Gravitational Forces - includes planet naming applet Satellites A satellite is a lower mass body that orbits around a higher mass body. - The Moon is a natural satellite of the Earth. - The Hubble Space Telescope is an artificial (man-made) satellite of the Earth. - The Earth is a satellite of the Sun. How a satellite orbits To stay in orbit at a satellite must move at a particular speed. too slow too fast correct speed Communication satellites These are usually placed in geostationary orbits so that they always stay above the same place on the Earth’s surface. VIEW FROM ABOVE THE NORTH POLE Geostationary satellites must have orbits that: - take 24 hours to complete - circle in the same direction as the Earth’s spin - are above the equator - orbit at a height of about 36 000 km Uses of communication satellites include satellite TV and some weather satellites. Monitoring satellites They are used for weather, military, and environmental monitoring. They have relatively low orbital heights (eg 500 km). They take typically 2 hours to complete one orbit. They are considered to be in polar orbits even though their orbits do not always pass over the poles. Question What are the advantages / disadvantages of using a polar orbiting rather than a geostationary satellite for monitoring? ADVANTAGES - it is nearer to the Earth allowing more detail to be seen and - it is easier to place into orbit - it eventually passes over all of the Earth’s surface DISADVANTAGE - unlike a geostationary satellite it is not always above the same point on the Earth’s surface so continuous monitoring is not possible GPS / SatNav The satellites used for the Global Positioning System (GPS), as used in SatNav, are in ‘polar’ orbits. GPS makes use of about 30 polar orbiting satellites. Choose appropriate words to fill in the gaps below: lower A satellite is a ________ mass object orbiting around a higher mass body. ________ slowly The larger the orbit of a satellite the more ________ it moves longer it takes to complete one orbit. and the ________ communications and have Geostationary satellites are used for _____________ 24 hours. an orbital period of _____ monitoring _____________ satellites normally use polar orbits. WORD SELECTION: monitoring higher longer lower communications 24 slowly Satellites Notes questions from pages 228 & 229 1. 2. 3. 4. 5. 6. 7. 8. With the aid of a diagram explain how a satellite can remain in orbit about the Earth. How does (a) the speed and (b) the period of a satellite vary with its height above the Earth? Copy and answer questions (a) and (b) on page 228. (a) What is meant by a ‘geostationary orbit’? (b) Why must satellite TV use geostationary satellites? What are ‘monitoring satellites’? What type of orbit is used for this type of satellite? Copy and answer question (c) on page 229. Copy the ‘Key points’ table on page 229. Answer the summary questions on page 229. Satellites ANSWERS In text questions: (a) It can give the location and the height above sea level. (b) 12 (c) They would be slowed by drag from the atmosphere and would fall back to Earth. Summary questions: 1. (a) High, equator. (b) Low, poles. 2. (a) (i) Below (ii) Above (b) Less energy is needed because the orbit is nearer the ground than a geostationary orbit is. Satellite Simulations Electromagnetic Spectrum & Communications - BT Inside a communication satellite - BT Projectile & Satellite Orbits - NTNU Newton's Cannon Demo - to show how orbits occur - by Michael Fowler Kepler Motion - NTNU Kepler's 2nd Law - Fendt Space craft control - NTNU How a satellite orbits - BT Satellite orbits - BT Inside a communication satellite - BT BBC KS3 Bitesize Revision: Satellites & Space Probes Turning issues Notes questions from pages 230 & 231 1. No questions.