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Universal Gravitation Newton Cavendish Examples Whiteboards

Universal Gravitation Newton Cavendish Examples Whiteboards. Newton: Apple falls on his head? Newton knows four things: Distance apple is from the earth’s center Distance it falls in a second Distance the moon is from the earth’s center Distance it “falls” in a second. 1643-1727.

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Universal Gravitation Newton Cavendish Examples Whiteboards

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  1. Universal Gravitation • Newton • Cavendish • Examples • Whiteboards

  2. Newton: • Apple falls on his head? • Newton knows four things: • Distance apple is from the earth’s center • Distance it falls in a second • Distance the moon is from the earth’s center • Distance it “falls” in a second 1643-1727 He concludes there is an inverse square relationship: F 1/r2

  3. r m2 m1 • Newton: • His law of universal gravitation so far: • F = Gm1m2 • r2 1643-1727 What to use for G? r = Center to center distance m1 = One of the masses m2 = The other mass G = Universal gravitation constant

  4. Cavendish • Determines the value of G in 1798 • F = Gm1m2 • r2 Measures F, both masses, and r G = 6.67 x 10-11 Nm2/kg2 (units cancel)

  5. F = Gm1m2 • r2 r = Center to center distance m1 = One of the masses m2 = The other mass G = 6.67 x 10-11 Nm2/kg2 Example 1 - Find the force of gravity between a .756 kg stapler, and a .341 kg marker that is 1.75 m away?

  6. F = Gm1m2 • r2 r = Center to center distance m1 = One of the masses m2 = The other mass G = 6.67 x 10-11 Nm2/kg2 Example 2 - What is the force of gravity between a 1.0 kg mass, and the earth? (r = 6.38 x 106m, mearth = 5.97 x 1024 kg) (check use of scientific notation)

  7. Whiteboards: Gravity 1 | 2 | 3 | 4 TOC

  8. What is the force of gravity between a 5.2 kg shot and a 250. kg wrecking ball whose centers are 2.45 m distant? 1.44 x 10-8 N

  9. Another shot is 1.45 m from the center of a 250. kg wrecking ball and experiences a force of 1.55 x 10-7 N, what is the mass of the shot? 19.5 kg

  10. What distance from the center of a 512 kg wrecking ball must a 4.5 kg bowling ball be to experience a force of 1.13 x 10-9 N? 11.7 m

  11. The moon has a mass of 7.36 x 1022 kg, and a radius of 1.74 x 106m. What does a 34.2 kg mass weight on the surface? 55.5 N

  12. The moon has a mass of 7.36 x 1022 kg, and a radius of 1.74 x 106m. What mass weighs 25 N on its surface? 15 kg

  13. The moon has a mass of 7.36 x 1022 kg, and a radius of 1.74 x 106m. At what distance from the moon’s center would a 43 kg mass weigh 25 N? 2.9 x 106m

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