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Gravity • Any two objects are attracted to each other simply because they have mass. Universal Law of Gravitation • Gravitational force is a field force between two particles -- in all mediums. • Force varies as the inverse square of the distance • Force is proportional to mass of objects = ∙ = 6.67 × 10 • G is the Universal Gravitational Constant. • Gravity force acts from the center of object. EE Button? Laws of Attraction • Girl, Brandy (42.5 kg), sits 1.50 m from boy (63.0 kg), George. What is force of gravity between them? Laws of Attraction • Girl, Brandy (42.5 kg), sits 1.50 m from boy (63.0 kg), George. What is force of gravity between them? Find mass of earth. re = 6.38 x 106 m. 10.0 kg mass, other mass is earth’s mass. Find mass of earth. re = 6.38 x 106 m. 10.0 kg mass, other mass is earth’s mass. You weigh 567 N on earth. How much would you weigh on mars? = . × = . ! × You weigh 567 N on earth. How much would you weigh on mars? = . × = . ! × What is the acceleration of gravity on Venus? "#$% = . && × "#$% = . ' × What is the acceleration of gravity on Venus? "#$% = . && × "#$% = . ' × The International Space Station has a mass of 450,000 kg and 250 miles (402,336m) above the surface of the earth re=6.38x106m. What is the force of gravity on it if the mass of the Earth is 5.97 x 1024 kg? How fast is the ISS traveling? How long does it take to orbit the Earth once? The International Space Station has a mass of 450,000 kg and 250 miles (402,336m) above the surface of the earth re=6.38x106m. What is the force of gravity on it if the mass of the Earth is 5.97 x 1024 kg? ( = . 450,000 ∗ 5.97 ∗ 10 ( = 6.67 ∗ 10 = 3.9 ∗ 102 2 402,336 + 6.35 ∗ 10 How fast is the ISS traveling? ( = 3 450000 ∗ 4 3.9 ∗ 10 = (402,336 + 6.35 ∗ 102 ) 2 4 3.9 ∗ 10 = 2 4 = 7664 7 How long does it take to orbit the Earth once? 897:;<=> = = = 2? 2? 402,336 + 6.38 ∗ 102 = 4.26 ∗ 10A 8 4.26 ∗ 10A := = = 55607 = 92.79< 4 7664 402,336m 6.35E6m Satellites • http://waowen.screaming.net/revision/force& motion/ncananim.htm Gravity in orbit: FreeFall Astronauts ≡ "weightless" distance to the center of the earth is only about 10 % greater force of gravity only slightly less Falling endlessly around the earth Gravity doesn't seem to work while falling. weightlessness is caused by being in a constant state of free fall.
