Find the gravitational attraction of the moon to the Earth using the regents reference tables. What would the gravitational attraction of the Earth to.

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Presentation transcript:

Find the gravitational attraction of the moon to the Earth using the regents reference tables. What would the gravitational attraction of the Earth to the moon be? What if the moon where twice as massive? Gravity

Find the gravitational attraction of the moon to the Earth using the regents reference tables. What would the gravitational attraction of the Earth to the moon be? What if the moon where twice as massive? Gravity F = G x M 1 x M 2 / r 2 = (6.67 E-11) x (7.35 E22) x (6.37 E24) (3.84 E8) 2 = 2 billion billion Newtons

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Find the gravitational attraction between these two masses?

Find the gravitational attraction between an electron and a proton in a hydrogen atom ( r = m ).

Henry Cavendish’s experiment to measure G.

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To achieve orbit, you must launch a rocket at a certain minimum velocity, called the orbital velocity, where the object’s weight can provide the centripetal force, and the earths curvature makes up for the objects falling. Fc = W r v escape =  gr mv 2 = mg

The “force field” model: A drawing wher arrows represent the direction oif the force on an object. The denser the lines, the stronger the field and the stronger the force

Fg m g = g = 9.8 g = 6 g = 2.5 g = 9.81 N/kg G is relatively constant at 9.81 N/kg near the surface of the earth. Sensitive gravimetric measurements show variation of g at different points on earth’s surface at the 5 th decimal place

Gravitational Map of New England Why is the gravity stronger over oceans?

VERY exaggerated graphics of where g is strongest and weakest on earth’s surface, due mainly to variances in local rock densities.

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LAW 2: Planets sweep out equal areas in equal intervals of time LAW 3: The squares of the periods of the planets are proportional to the cubes of their distance to sun: T a 2 / T b 2 = R a 3 / R b 3 LAW 1: The orbit of a planet is an ellipse with the Sun's center of mass at one focus Kepler’s Laws of Motion

T a 2 / T b 2 = R a 3 / R b 3 Planet Period “T” (yr) a (AU) T2T2 R3R3 Mercury Venus Earth1.00 Mars Jupiter Saturn Neptune is 30 times further from the sun than we are. Calculate its period of orbit.

Neptune is 30 times further than we are from the sun. Calculate its period of orbit. In another solar system, planet X is 5 times farther away from its central star than planet Y. Planet X has a solar year of 500 days. Find the period of planet Y.