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# 67 10 11 2 r kg 2 1m 7 f gravity 33 10 newtons

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Unformatted text preview: wton’s Law of Universal Gravita:on “Every par>cle in the universe a^racts every other par>cle with a force propor>onal to the product of their masses and inversely propor>onal to the square of the distance between them. The force points along the line joining the two par>cles.” m1m2 | F | gravity = G 2 r 3/5/2014 G ≈ 6.67 x 10 −11 2 Nm / kg Gravita)onal Constant (Newton’s Constant) PHYS- 2010 7 2 Universal Gravita:on Veriﬁca:on 1687: Isaac Newton m1m2 | F | gravity = G 2 published Gravity Theory r 1798: Henry Cavendish conﬁrmed this formula experimentally and measured G. 1915: Albert Einstein’s General Theory of Rela>vity explained why gravity behaves this way. 3/5/2014 PHYS- 2010 8 How Strong is Gravity? m1 = 70 kg m2 = 70 kg r = 1 meter m1m2 ⎛ྎ Nm 2 ⎞ྏ (70kg )(70kg ) | F | gravity = G 2 = ⎜ྎ 6.67 ×10 −11 ⎟ྏ 2 ⎜ྎ r kg 2 ⎟ྏ (1m) ⎝ྎ ⎠ྏ −7 | F | gravity = 3.3 × 10 Newtons = 7.5 ×10−8 Pounds That is about 1/60th the weight of a single hair! 3/5/2014 PHYS- 2010 9 Big G, [email protected] g What is the force of gravity exerted by the Earth with mass ME on a person of mass m on its surface? GM E m | F |gravity = 2 RE (5.98 × 10 kg) m = ( 6.67 × 10 Nm / kg ) (6.37 × 10 m) Teach you I will ! RE | F |gravity 24 −11 2 2 6 2 | F | gravity = m × 9.81m / s | F | gravity = mg ( ) 2 Sur...
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