Gravitation Jeopardy Universal Law of Gravitation Kepler’s Laws Astronomy 10 10 10 20 20 20 30 30 30 40 40 40 50 50 50 60 60 60 Circular Motion Part 1: Universal Law of Gravitation 10 Points – ULG Using Newton’s Universal Law of Gravitation, if the mass of one of the objects increases by 5, what happens to the force exerted between them? Answer Main 10 Points Answer – ULG • The force increases by 5. Question Main 20 Points - ULG Using Newton’s Universal Law of Gravitation, if the radius between the objects increases by 5, what happens to the force exerted between them? Answer Main 20 Points Answer – ULG • The force decreases by 52 Or the force is 1/25 of the original force. Question Main 30 Points - ULG Using Newton’s Universal Law of Gravitation, if the radius between the objects decreases by 5, what happens to the force exerted between them? Answer Main 30 Points Answer – ULG • The force increases by 52 Or the force is 25 times the original force. Question Main 40 Points – ULG • Determine the gravitational force exerted by cookie monster on a nearby cookie. – Mass of cookie monster: 200 kg – Mass of cookie: 0.3 kg – Distance between them: 5 m – G: 6.67 x 10-11 Answer Main 40 Points Answer – ULG F = Gm1m2/r2 = (6.67x10-11)(200kg)(0.3kg)/(5m2) = 1.6 x 10-10 N Question Main 50 Points – ULG • Graph gravitational force versus the distance between two objects • How are these two physical quantities related? – – – – Directly proportional Directly proportional to the square of the distance Inversely proportional Inversely proportional to the square of the distance Answer Main 50 Points Answer – ULG • How are these two physical quantities related? - Directly proportional - Directly proportional to the square of the distance - Inversely proportional - Inversely proportional to the square of the distance Question Main 60 Points – ULG • State Newton’s Law of Universal Gravitation. Answer Main 60 Points Answer – ULG Fgrav = Gm1m2/r2 Gravitational force = Gravitational constant*mass1*mass2/radius2 Question Main Part 2: Kepler’s Laws Main 10 Points – Kepler • What is Kepler’s First Law? • What is at one focus? Answer Main 10 Points Answer – Kepler Kepler’s First Law: All planets orbit around the sun in an elliptical shape. The sun is at one focus. Question Main 20 Points – Kepler • What is Kepler’s Second Law? What does it tell you about the speed of an object in an elliptical orbit? Answer Main 20 Points Answer – Kepler • Objects sweep out equal areas in equal amounts of time in their orbit T1 = T2 if A1 = A2 • Objects travel faster when closer to the sun Question Main 30 Points – Kepler • State Kepler’s Third Law. What ratio is equal to Kepler’s constant for all bodies orbiting the sun? Answer Main 30 Points Answer – Kepler • The period squared divided by the semi-major axis cubed is equal to Kepler’s constant. • Kepler’s constant is equal to 1. Question Main 40 Points – Kepler DOUBLE JEOPARDY!!! • What does stellar retrograde motion depict? • Why does Kepler’s First Law explain this phenomena? Answer Main 40 Points Answer – Kepler • Stellar retrograde motion is when stars or planets appear to move backwards in the sky. • We orbit the sun instead of all planets orbiting us; therefore, if we pass another planet as we circle the sun – it appears as though that planet is travelling backwards. Question Main 50 Points – Kepler Earth moves more slowly in its orbit during June than during January. Is Earth closer to the sun in June or in January? What is the rationale for your answer? Answer Main 50 Points Answer – Kepler • Earth is closer to the sun in January. Since it travels slower in June, that means the gravitational pull is less which means Earth must be farther away in June. Question Main 60 Points – Kepler • Sketch the force and velocity arrows at each point in this diagram. Answer Main 60 Points Answer – Kepler Velocity arrows are red – always tangent to the ellipse Force arrows are green – always pointed toward the focus Question Main Part 3: Astronomy Main 10 Points – Astronomy • What are the two types of planets and what are their main differences? Answer Main 10 Points Answer – Astronomy • Terrestrial and Jovian – Terrestrial are rocky planets – Jovian are the gas giants Question Main 20 Points – Astronomy • What are the criteria for being a planet? Answer Main 20 Points Answer – Astronomy • Need to clear out the space in their orbit • Need to be circular in shape • Need to orbit the sun Question Main 30 Points – Astronomy • How does the gravitational force exerted by one planet in space on a second relate to the force exerted by the second planet on the first? Answer Main 30 Points Answer – Astronomy • The forces are equal (Newton’s Third Law) and opposite in direction. Question Main 40 Points – Astronomy • List the planets around our sun in order. Answer Main 40 Points Answer – Astronomy • Mercury, Venus, Earth, Mars • Jupiter, Saturn, Uranus, Neptune Question Main 50 Points – Astronomy • Explain what causes tides. Answer Main 50 Points Answer – Astronomy • The moon pulls on each side of the Earth differently, causing high tides on the side closest to the moon and further away. Question Main 60 Points – Astronomy • What are comets? What shape do their orbits make? How does that help explain why comets may not have originally been part of the solar system? Answer Main 60 Points Answer – Astronomy • Comets are balls of dust and ice. • They orbit in very eccentric orbits (very oval shapes) so they are not seen for very long periods of time • Because comets appear so irregularly, astronomers were not able to chart their course as easily as the other planets. Question Main Part 1: Circular Motion 10 Points – CM What direction is the acceleration for an object spinning in a circle? Answer Main 10 Points Answer – CM • Towards the center of the circle Question Main 20 Points - CM Anna Litical is practicing a centripetal force demonstration at home. She fills a bucket with water, ties it to a strong rope, and spins it in a circle. Why does the water not fall out? Answer Main 20 Points Answer – CM • Inertia keeps the water moving in a straight line, so the water “pushes against the back of the bucket” keeping it from falling out. Question Main 30 Points - CM A 900-kg car moving at 10 m/s takes a turn around a circle with a radius of 25.0 m. Determine the acceleration and the net force acting upon the car. Answer Main 30 Points Answer – CM TOK: - m = 900kg - v = 10 m/s - r = 25.0 m a = v2/r = 102/25 = 4 m/s2 F = ma = 900*4 = 3600 N Question Main 40 Points – CM A tube is been placed upon the table and shaped into a three-quarters circle. A golf ball is pushed into the tube at one end at high speed. The ball rolls through the tube and exits at the opposite end. Describe the path of the golf ball as it exits the tube. Answer Main 40 Points Answer – ULG Will leave the tube in the direction it was moving already (inertia) Question Main 50 Points – CM • You want to make a bowling ball travel in a circular counter-clockwise path around you (this means YOU are the center point). After you set the ball in motion “to the left”, in what direction will force need to be exerted to keep the ball in a circular path? – You need to constantly push the ball away from you – You need to constantly push the ball toward you. – You need to constantly push the ball to the left Answer Main 50 Points Answer – CM • You want to make a bowling ball travel in a circular counter-clockwise path around you (this means YOU are the center point). After you set the ball in motion “to the left”, in what direction will force need to be exerted to keep the ball in a circular path? – You need to constantly push the ball away from you – You need to constantly push the ball toward you. – You need to constantly push the ball to the left Question Main 60 Points – CM Determine the centripetal force acting upon a 40-kg child who makes 10 revolutions around the Cliffhanger in 29.3 seconds. The radius of the barrel is 2.90 meters. Answer Main 60 Points Answer – CM T = sec/rev = 29.3s/10rev = 2.93s v = 2πr/T = 2π(2.90m)/2.93s = 6.2m/s F = mv2/r = (40kg)(6.22 m/s)/(2.90m) = 533.4 N Question Main Physics CP Jeopardy Gravitation, Kepler’s Laws and Astronomy Review Main
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