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Transcript
Astronomy Day Two Dimensions of Solar System, Newton's Laws, Gravity and Escape Velocities QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. http://microcosm.web.cern.ch/Microcosm/P10/english/welcome.html Every body contintues in a state of rest, or in a state of uniform motion in a straight line, unless it is compelled to change that state by a force acting upon it. QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Every body contintues in a state of rest, or in a state of uniform motion in a straight line, unless it is compelled to change that state by a force acting upon it. QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Orbital Velocity of Earth is 29.8 km/sec Radius of Earth Orbit (A.U.) is 1.496 x 108 km Acceleration is Velocity2 ÷ Radius What is the centripital acceleration of the Earth, that keeps it in orbit around the Sun? QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. Every body contintues in a state of rest, or in a state of uniform motion in a straight line, unless it is compelled to change that state by a force acting upon it. QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Orbital Velocity of Earth is 29.8 km/sec Radius of Earth Orbit (A.U.) is 1.496 x 108 km Acceleration is Velocity2 ÷ Radius What is the centripital acceleration of the Earth, that keeps it in orbit around the Sun? (29.9 km/sec)2 ÷ 1.496 x 108 km = .000005932 km/sec2 QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. Or, .005932 meters/sec2 When a force "F" acts upon a body of mass "m", it produces in it an acceleration "a", that is equal to the force divided by the mass. Therefore, a=F/m, and F=ma QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. When a force "F" acts upon a body of mass "m", it produces in it an acceleration "a", that is equal to the force divided by the mass. Therefore, a=F/m, and F=ma QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Earth has a mass of about 5.97 x 1024 kg Acceleration is about .006 m/s2 What is the centripital force of gravity pulling the Earth towards the Sun? QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. When a force "F" acts upon a body of mass "m", it produces in it an acceleration "a", that is equal to the force divided by the mass. Therefore, a=F/m, and F=ma QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Earth has a mass of about 5.97 x 1024 kg Acceleration is about .006 m/s2 What is the centripital force of gravity pulling the Earth towards the Sun? F = .006 m/s2 x 5,970,000,000,000,000,000,000,000 kg = 3.582 x 1023 N QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. = a whole bunch of force. Every action has an equal and opposite reaction. QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. The centripital "pull" of the Sun's gravity is opposed almost exactly by the "push" of the Earth trying to continue to move in a straight line. QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Every particle of matter in the Universe attracts every other particle of matter in the universe with a force that is directly proportional to the product of the masses of the particles, and inversely proportional to the square of the distance between them. QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. Every particle of matter in the Universe attracts every other particle of matter in the universe with a force that is directly proportional to the product of the masses of the particles, and inversely proportional to the square of the distance between them. This force is a property of space itself, and probably not something that moves within space, although a particle called a "graviton" has been postulated, and made popular on "Star Trek". QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. "Can't Live Without You Kurt", and "Don't Leave Me Donna" are convinced that the universe is pulling them together. This is much to the chargrine of the others in the hallway who must watch the P.D.A., but anyway. What is the gravitational pull of the two, when they are 1 meter apart? Kurt has a mass of 80 kilograms, and Donna has a mass of 60 kilograms. The gravitational constant is 6.67 x 10-11(N m2/kg2). F=(Gm1m2/r2). We shall dance, and we shall sing, and then one day we shall trade a ring!!! QuickTime™ and a TIFF (Uncomp resse d) de com press or are nee ded to s ee this picture. "Can't Live Without You Kurt", and "Don't Leave Me Donna" are convinced that the universe is pulling them together. This is much to the chargrine of the others in the hallway who must watch the P.D.A., but anyway. What is the gravitational pull of the two, when they are 1 meter apart? Kurt has a mass of 80 kilograms, and Donna has a mass of 60 kilograms. The gravitational constant is 6.67 x 10-11(N m2/kg2). F=(Gm1m2/r2). F = (6.67 x 10-11 • 60 •80)÷(1 • 1) F = .000003216 Newtons. Far, far less than the force of a snowflake hitting the ground. QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. What goes up might not come back. Does is come down?