understanding free fall & gravity using an incline plane

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Understanding Free Fall & Gravity Using an Incline Plane

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Page 1: Understanding Free Fall & Gravity Using an Incline Plane

Understanding Free Fall & Gravity Using an Incline Plane

Page 2: Understanding Free Fall & Gravity Using an Incline Plane

“All objects move towards their natural

place”

Page 3: Understanding Free Fall & Gravity Using an Incline Plane

Objects fall down because the center of the Earth is their natural place.

The speed of an object in free fall is proportional to its mass.

Objects fall faster through mediums that are less dense.

Page 4: Understanding Free Fall & Gravity Using an Incline Plane
Page 5: Understanding Free Fall & Gravity Using an Incline Plane

He had no equipment to conduct any research or experiments.

He had no way of knowing about air resistance.

He was not aware of the effects of friction. He was a philosopher not a scientist.

Page 6: Understanding Free Fall & Gravity Using an Incline Plane

“I do not feel obliged tobelieve that the samegod who has endowed uswith sense, reason andintellect has intended usto forgo their use.”

Page 7: Understanding Free Fall & Gravity Using an Incline Plane

All objects fall with the same rate of acceleration

Mass does not effect the rate of acceleration

An objects velocity will increase the farther it falls

Page 8: Understanding Free Fall & Gravity Using an Incline Plane

Goal = determine the value of “g” Many people feel he conducted

experiments by dropping objects off the “Tower of Pisa”.

Too difficult to get accurate results with equipment available

Used an incline plane to study free fall (objects move slower, easier to control)

Page 9: Understanding Free Fall & Gravity Using an Incline Plane

Galileo Video

Page 10: Understanding Free Fall & Gravity Using an Incline Plane

Derived equation: Δd = vit + ½at2

Found that objects speed up at a faster rate when the angle of incline increases

Diameter effects rate of acceleration (bigger diameter=less friction, velocity increases)

All objects fall with the same rate of acceleration For falling objects:

V ∝ T D ∝ T2

Concluded: All objects fall with the same rate of acceleration regardless of mass when you neglect air resistance.

Page 11: Understanding Free Fall & Gravity Using an Incline Plane

Resulting Graph of Distance vs. Time

Page 12: Understanding Free Fall & Gravity Using an Incline Plane

Resulting Graph of Distance vs. Time2

Page 13: Understanding Free Fall & Gravity Using an Incline Plane

Resulting Graph of Velocity vs. Time (mid)