(gets faster as it falls)

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Presentation transcript:

(gets faster as it falls) Falling Apple: Changing Speed (gets faster as it falls) Same Direction (always falls down)

Net Force is Zero, No Net Motion Equal and Opposite Force from the Table Force = (apple’s mass)  (acceleration due to gravity) Net Force is Zero, No Net Motion

Local Sky Zenith N W E S Horizon

NCP Visible Half of the Sky Below the Horizon N S Z E W CEq SCP

Measuring Latitude Zenith NCP CEq N W E S Latitude Horizon

NCP Summer Solstice Ecliptic CEq Winter Solstice SCP

Autumnal Summer Equinox Solstice Winter Vernal Solstice Equinox NCP Ecliptic CEq Winter Solstice Vernal Equinox SCP

September June December March

Equinoxes: March 20 & Sept. 22 Northern Spring/Fall Southern Fall/Spring

December 21: Winter Solstice Northern Winter Southern Summer

June 21: Summer Solstice Northern Summer Southern Winter

1 KW/m2 1 KW/m2 1 m2 2 m2

2000 Dec 21: Winter Solstice 2001 Mar 20: Vernal Equinox Winter Spring Summer Autumn 2001 June 21: Summer Solstice 2001 Sept 22: Autumnal Equinox Summer Autumn Winter Spring

Cepheus Draco Polaris Ursa Minor 2000 AD Thuban 2700 BC

Precession of the Equinoxes

d M1 M2 2d M1 M2 d/2 M1 M2

M1 M2 d 2M1 M2 d 2M1 2M2 d

Conic Section Curves Circle Ellipse Parabola Hyperbola

Parabola v = vE Hyperbola v>vE Ellipse vC<v<vE Circle v = vC Ellipse v<vC

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