Chapter 4 Newton’s laws & gravity & tides Summary of gravity & tides • What does force of gravity depend on? • What objects A) give gravity? B) Experience gravity? • If you change mass(es), how does gravity change? If change distance or radius? • What mechanism causes tides in general? • What objects cause tides here on Earth? • Name 2 other worlds that experience significant tides, and what are the tide sources? • How have tides affected the Moon’s appearance from Earth? • What is changing in the Earth-Moon system as a result of tides? Universal Law of Gravity: • Newton hypothesized that _____________________ _______________________________________. • The mathematic relationship is called an Inverse Square Law and it looks like this: Gravity is forcing you towards the person next to you. 1. True 2. False 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 Is there gravity on the Moon? 1. Yes 2. No 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 If you were twice as far from Earth as you are now, how would gravity change? 1. 2. 3. 4. 5. 0 0 0 0 0 It would be four times as strong It would be twice as strong It would be the same It would be half as strong It would be 1/4th as strong 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 If the Earth grew to 3 times its current size but didn’t change mass, how would surface gravity change? 1. 2. 3. 4. 5. 6. 7. 0 0 0 0 0 0 0 It would be 9 times as strong It would be 6 as strong It would be 3x It would be the same 1/9 as strong 1/6 as strong 1/3 as strong 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 Real triple-size planets • We just said planets that are 3x the Earth’s size have _________ gravity. • Do you think real planets that are 3x bigger than Earth have weaker gravity? • Why not? Masses • Earth’s mass is ________________________. – _____________________________kg (__ zeroes). • When a pen falls down, why does the pen move & the Earth doesn’t? • Earth _____________________. • Similar to _____________________. Found ____+ planets around other stars (since 1995)! Tides • End of chapter 4. • Clicker questions coming soon. Big questions • • • • • What causes tides? What worlds do they affect? How do they affect these worlds? How are the tide-creators affected? Give examples. Objects A, B, C are above the Earth, A at top, B middle, C bottom. They all start falling simultaneously. Which one experiences the largest acceleration due to Earth’s gravity? 0 0 0 0 1. 2. 3. 4. A B C All 3 are the same Original location A B C Earth Which picture shows the spacing after a little while, when all objects are still falling? 1. 2. 3. 4. 5. 1= Original spacing Original location A 1 2 3 4 5 B C 2 3 A B A B C A B C C 5 A A B 4 C B C This slide left blank. __________ forces Gravity _____________ ___________ as it falls. This is called ____, they are _______________ __________________ Between the ________, _______________, and _______________. Technically there is no such thing as a “tidal force.” _____________ Neat info: The “tidal forces” are what kill ___________________ you as you fall into a black hole. ___________________. Good __________________ on p. 140. More on tides ______________ (therefore) ____ work on: • _______________________ and • ________________________ Common misconception: many people think you need liquid on the surface to experience tides. But the _____________ _____________________________ too! • __________________________ because – land is ______________________. Tides on worlds • Which objects do you think can cause noticeable tides on Earth? • On the Moon? • Mercury? • Venus? • Io? • Europa? • Titan? • Pluto? Pluto’s moon Charon? Tidal Forces – ___ also _________ Tidal Forces – again, see also figure 4.23. And see also “common misconception” on page 141 With your neighbor, decide where water would be deep & shallow if we added a LOT of water to Earth. Another blank slide Tidal Forces – still figure 4.23 How many high tides are there on Earth right now? How often are there high tides are there at the beach each day? The arrow in this picture shows the Moon to the right. Where else could the Moon be to have identical Earth tides? Tide table, part 1 – monthly cycle Note: Would you expect the 2 high tides each day to be the same strength? Are they? Why not? (Not answered in class.) Think three dimensionally! Tide table, part 2 (one day) Tidal Effects from Moon – see fig ____ • Tides cause the ____________, causing _____ __________________. (clicker) – Earth _____________________ (by ~ 2ms/century). • _____________ also causes ______________ – ____________________________________ – __________________ & now probably ___________ • See fig 4.26 for more detailed explanation. Tides on the Moon • Just like Moon causes tides on the Earth, _______ causes tides on ___________. Tidal Effects on the Moon • ________ causes ____ to _________ • _________________________ until… • The __________________________. __________________ (synchronized) _______________________________. Fancy words: The _________________ of the Moon is ______________________ ________________. See pages ___________. A bit about _____________ moons • ____ – __________________ • _____________ – _______________________________ – _________& _______________________________? • All 4 are approximately the size of ___________ • All 4 are about the _______________________ – as _______________________________________ Do you think Jupiter’s moons are synchronized? (Note: The moons don’t affect each other.) 0 0 1. Yes 2. No Another result of tidal friction As the _______________ due to ____________________ __________________________________________. ______________________________________________. As Moon ______________________, what would we observe? 1. ___________________________________ 2. Moon ____________________________ ______________________________________ As Moon ______________________, will its orbit time increase, decrease or stay the same? Tides were weaker or stronger? (no clicker) Important for forming life! (water less stagnant) Tides affecting other moons’ orbits • _____________ is ____________________________ – tides __________________ because it orbits more than once per day – Phobos will ________________________ in 50 million years (_________________) or maybe _______ • ________________ is __________________ moon – Orbits _____. – Will also ________________________, in 100 million years. Summary of gravity & tides • What does force of gravity depend on? • What objects A) give gravity? B) Experience gravity? • If you change mass(es), how does gravity change? If change distance or radius? • What mechanism causes tides in general? • What objects cause tides here on Earth? • Name 2 other worlds that experience significant tides, and what are the tide sources? • How have tides affected the Moon’s appearance from Earth? • What is changing in the Earth-Moon system as a result of tides?