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The Impact of the Moon on Earth: Understanding Gravity and Its Forces

This analysis explores the profound effects the Moon has on Earth, focusing on gravity's role in shaping our planet's dynamics. Gravity (g) is directly related to mass and inversely related to distance squared. Through calculations, we see Earth's gravity at 9.8 m/s² and the Moon's at 1.7 m/s². The absence of the Moon would lead to erratic seasons, smaller tides (1/3 of today's), and a significantly faster rotation of Earth, approximately 8 hours instead of 24. Understanding these effects underscores the Moon's crucial influence on Earth's stability.

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The Impact of the Moon on Earth: Understanding Gravity and Its Forces

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  1. From Galileo

  2. Earth Without the Moon Michelle Kirchoff Southwest Research Institute Center for Lunar Origin and Evolution

  3. Gravity - Acceleration • Acceleration due to gravity (g) is directly related to mass M m

  4. Gravity - Acceleration • Acceleration due to gravity (g) is directly related to mass • And is indirectly related to the radius squared M m r

  5. Gravity - Accleration • GXM(Earth)/[R(Earth)XR(Earth)] = g(Earth) • 6.7*10-11 X 6*1024kg/[6370000m X 6370000m] = 9.8 m/s2 • GXM(Moon)/[R(Moon)XR(Moon)] = g(Moon) • 6.7*10-11 X 7*1022kg/[1740000m X 1740000m] = 1.7 m/s2

  6. Gravity - Force • force between two bodies (F) is directly related to the acceleration of the first and the mass of the second M m F  F 

  7. Gravity - Force GXM(Earth)XM(Moon)/[D(Earth-Moon)XD(Earth-Moon)] = F 6.7*10-11 X 6*1024kg X 7*1022kg/[380000000m X 380000000m] = 2*1020 N = 4.5*1019 lbs F (Earth – Sun) = 4*1022 N Earth – Moon distance = 240 thousand miles (ND ~ 340 miles)

  8. If there was no Moon… • Seasons and climate erratic => Moon stabilizes tilt of Earth’s rotational axis

  9. If there was no Moon… • Much smaller tides => 1/3 today (tidal force = gradient of Graviational Force => indirectly related to radius cubed Moon Sun

  10. If there was no Moon… • Earth spins faster => ~ 8 hrs instead of 24

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