problems 2.notebook February 03, 2016

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Georgia Stewart
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1 What's my weight? Use Universal Gravitation formula 1

2 What's my weight? r e Centripetal force needed to keep me on earth? 2

3 Centripetal force needed to keep me on earth? Centripetal force needed to keep me on earth? 3

4 What velocity do I circle at? What velocity do I circle at? This equation would tell the velocity the moon orbited the earth at, or the velocity the earth orbited the sun at. I'm not orbiting the earth! I'm standing still on the surface. 4

5 or, you could get it by: What is the period of the moon?...use Newton's variation of Kepler's 3rd Law. r om = 3.9 x 10 8 m 5

6 What is the period of the moon?...use Newton's variation of Kepler's 3rd Law. Using the earth's data and Newton's Variation of Kepler's 3rd Law, determine the mass of the sun. 6

7 Using the earth's data and Newton's Variation of Kepler's 3rd Law, determine the mass of the sun. r 3 /T 2 = Gm 1 /4π 2 m 1 = 4π 2 r 3 /GT 2 m s = [4π 2 (1.5 x ) 3 ]/[6.67 x Nm 2 /kg 2 (3.16 x 10 7 s) 2 ] m s = 2.0 x kg Find the mass of the moon if the shuttle circles it in 7416 seconds at 100 km above its surface. How fast does the shuttle circle at? 7

8 Find the mass of the moon if the shuttle circles it in 7416 seconds at 100 km above its surface. How fast does the shuttle circle at? m m =? T = 7416 s r os = +100 km x 10 6 m r m = x 10 6 m Find the mass of the moon if the shuttle circles it in 7416 seconds at 100 km above its surface. m m =? T = 7416 s r os = +100 km r 3 /T 2 = Gm 1 /4π 2 m 1 = 4π 2 r 3 /GT 2 m m = [4π 2 (1.885x10 6 m) 3 ]/[6.67 x Nm 2 /kg 2 (7416s) 2 ] m m = 7.27 x kg 8

9 Find the mass of the moon if the shuttle circles it in 7416 seconds at 100 km above its surface. How fast does the shuttle circle at? v = Gm 1 /r v = [6.67 x Nm 2 /kg 2 (7.27 x kg)]/(1.885 x 10 6 m) v = 1600 m/s Find the mass of the moon if the shuttle circles it in 7416 seconds at 100 km above its surface. How fast does the shuttle circle at? What is "g" at the shuttle? g = Gm 1 /r 2 g = [6.67 x Nm 2 /kg 2 (7.27 x kg)]/(1.885 x 10 6 m) 2 g = 1.36 m/s 2 9

10 What is "g" on the earth? What is my centripetal acceleration? What is "g" on the earth? What is my centripetal acceleration? or, or, 10

11 Oh no, the earth implodes and becomes half it's size (radius).what would "g" at the surface? Oh no, the earth implodes and becomes half it's size (radius).what would "g" at the surface? 11

12 Stellar evolution suggest that the Sun will "red giant" and expand to encompass the earth's orbit. a) What will "g" on its surface be if this happens? After it "red giants" it will implode and become a "White dwarf" about half the size of the earth. b) What will "g" be on its surface if this happens? 12

13 Jets travel at an altitude of about 35,000. ft and fly at about 500. mph. How close is that to orbiting velocity at that height? 13

14 Jets travel at an altitude of about 35,000. ft and fly at about 500. mph. How close is that to orbiting velocity at that height? Jets travel at an altitude of about 35,000. ft and fly at about 500. mph. How close is that to orbiting velocity at that height? What would "g" be at that height? 14

15 Jets travel at an altitude of about 35,000. ft and fly at about 500. mph. How close is that to orbiting velocity at that height? What would "g" be at that height? The maximum takeoff mass of a 747 is 333,400 kg. What would the force of gravity be at cruising height?. 15

16 The maximum takeoff mass of a 747 is 333,400 kg. What would the force of gravity be at cruising height?. The maximum takeoff mass of a 747 is 333,400 kg. What would the force of gravity be at cruising height?. 747's can hold 48,400 gallons of fuel with a anerage density of 6.75 lb/gal. How much of the total takeoff mass is made up of fuel? 16

17 The maximum takeoff mass of a 747 is 333,400 kg. What would the force of gravity be at cruising height?. 747's can hold 48,400 gallons of fuel with a anerage density of 6.75 lb/gal. How much of the total takeoff mass is made up of fuel? How much does the jet's weight change from on the ground vs. cruising at 35,000 ft? 17

18 How much does the jet's weight change from on the ground vs. cruising at 35,000 ft? how much is that? comparsion? Where do you put a 5500 kg satellite to give it a geosynchronous orbit? r om = 3.84 x 10 8 m 18

19 Where do you put a 5500 kg satellite to give it a geosynchronous orbit? (2 ways) miles? 2.2 x 10 4 miles how much is that? Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? 19

20 Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? What will "g" be at that location? 20

21 Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? What will "g" be at that location? Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? What will "g" be at that location? What would it's weight be at that location? (2 ways) 21

22 Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? What will "g" be at that location? What would it's weight be at that location? (2 ways) Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? What will "g" be at that location? What would it's weight be at that location? What is its difference in weight from blast off to orbiting? (any affect on ease to motion?) 22

23 id=xqpzjmtdehqc&pg=pa85&lpg=pa85&dq=mass+of+satellite +average&source=bl&ots=i9qpjoqx8_&sig=oli8vmchpy5tzmahxhmk443cm bk&hl=en&sa=x&ei=tmc_vldyh82xyat6 ILoDQ&ved=0CFgQ6AEwCA#v=onepage&q=mass%20of%20satellite %20average&f=false problems 2.notebook Where do you put a 5500 kg satellite to give it a geosynronous orbit? What velocity will it have? What will "g" be at that location? What would it's weight be at that location? What is its difference in weight from blast off to orbiting? (any affect on ease to motion?) fuel budget The international space station is 73 m x 108 m x 20. m and has a mass of 450,000 kg. It orbits at 7600 m/s How far above the ground is it?... its period?... "g" at that locaton?... force of gravity on it? 23

24 The international space station is 73 m x 108 m x 20. m and has a mass of 450,000 kg. It orbits at 7600 m/s How far above the ground is it?... its velocity?... "g" at that locaton?... force of gravity on it? 330 miles 24

PHYSICS 12 NAME: Gravitation

PHYSICS 12 NAME: Gravitation NAME: Gravitation 1. The gravitational force of attraction between the Sun and an asteroid travelling in an orbit of radius 4.14x10 11 m is 4.62 x 10 17 N. What is the mass of the asteroid? 2. A certain