take ANY 2 random objects

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Presentation transcript:

take ANY 2 random objects

take ANY 2 random objects like an apple

take ANY 2 random objects and the earth

take ANY 2 random objects ignore everything else

See What Happens

WHY? Ask students to explain what they observed. Which objects were moving? Were the objects moving at constant speeds. Show as many times as is necessary.

Universal Gravitation

that pulls any objects with mass together! the harder gravity pulls. Verbally Gravity is a force that pulls any objects with mass together! The bigger the masses the harder it pulls. The closer the masses the harder gravity pulls. Ask a student: Is there any mass in your body? Is there any mass in the ceiling? Gravity pulls masses together. Why aren’t you being pulled towards the ceiling?  the mass of the earth is a lot bigger than the mass of the cieling Ask the class: The sun has a lot more mass than the earth. Why doesn’t student X get pulled towards the sun?  The earth is a lot closer.

Mathematically Fg Fg

Universal Gravitation Fg: the force of gravity between object A and object B G: the gravitational constant mA: the mass of random object A mB: the mass of random object B d: the distance between object A and object B

Universal Gravitation Fg: the force of gravity between object A and object B G: the gravitational constant mA: the mass of random object A mB: the mass of random object B d: the distance between object A and object B

Universal Gravitation Fg: the force of gravity between object A and object B G: the gravitational constant mA: the mass of random object A mB: the mass of random object B d: the distance between object A and object B

Universal Gravitation Fg: the force of gravity between object A and object B G: the gravitational constant mA: the mass of random object A mB: the mass of random object B d: the distance between the centers of objects A and object B

Universal Gravitation Fg: the force of gravity between object A and object B G: the gravitational constant mA: the mass of random object A mB: the mass of random object B d: the distance between object A and object B

The Gravitational Constant Your LUCKY Day! The Gravitational Constant is ALWAYS the same number

In Case They’re Not in Your Notes Yet! &

Time for an Example

Time for an Example We already know: Fg = mg & Now we also know:

Fg = mAg Time for an Example Let’s think about any random object A then: Fg = mAg

Time for an Example Put it together with:

Time for an Example And we get:

Luckily the mA’s cancel out: Time for an Example Luckily the mA’s cancel out:

Time for an Example Then we’re left with:

If random object B is the earth: Time for an Example If random object B is the earth: & mearth = 5.98 x 1024 kg

Time for an Example And if random object A

Time for an Example And if random object A

is sitting on the earth… Time for an Example And if random object A is sitting on the earth…

Time for an Example And if random object A is sitting on the earth… The distance is the radius of the earth

is sitting on the earth… Time for an Example And if random object A is sitting on the earth… d = 6.38 x 106 m

Time for an Example Plug in: mearth = 5.98 x 1024 kg d = 6.38 x 106 m G = 6.67 x 10-11

Time for an Example You get:

Which gives us something familiar: Time for an Example Which gives us something familiar:

Universal Gravitation Your Turn Go get the worksheet: Universal Gravitation from the front table. YOU Get to find g on the moon.