Download - Falling bodies (PHYSICS)
What goes up must go down!
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Prepared by: Darwin P. Paran
Falling Bodies
Free Fall
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Gravity
β’ The attraction due to gravitation
that the Earth exerts on or near its
surface
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Christian Huygensβ’ First one to
determine themagnitude of gravityfrom the swing of thependulum using a rulerand a good timepiece.
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The magnitude of gravity is
9.8π
π 2
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β’ In the late 16th century, it was believed that heavier objects fall first to the ground than the lighter ones.
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Galileo β’ Proved that
regardless of weight and air resistance, the rate of fall of all falling bodies are the same.
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Experiment of Galileo Materials: metal ball, inclined plane, and a water timer
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How can we measure the distance covered and final velocity of a
falling body?
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Displacement of Falling Bodies
ππ¦ = π£π¦ππ‘ +ππ‘2
2Where:
dy is displacement
vyo is initial velocity
g is gravity ( 9.8m/s2)
t is time interval
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Velocity of Falling Bodies
π£π¦π = π£π¦π + ππ‘
Where vyf is final velocity.
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π£π¦π
π£π¦π
ππ¦
Y
X
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Sample Problem:β’ The time a male bungee jumper is
freely falling is 1.5 seconds. β What is the velocity of the jumper at
the end of 1.5 seconds?
β How far does he fall?
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DISTANCE
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Given:
β’ vi = 0
β’ t = 1.5 s g = 9.8 m/s2
β’ π£π = π£π + ππ‘
β’ vf = 0 + (9.8m/s2)(1.5s)
β’ vf = 14.7 m/s or 15 m/s
β’ π = π£ππ‘ +ππ‘2
2
β’ d = (0)(1.5s) + (9.8 m/s2)(1.5s)2/2
β’ d = 11.025m or 11 m
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Reaction Time
β’ The time between stimulus and response.
β’ Measure your reaction time. ..\Activities\My Reaction Time.pdf
β’ Challenge your reaction time through paper bill challenge. (catch me if you can)
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Quiz: ΒΌ sheet of paper1. A rock fell from a cliff and reaches
the ground after 5 seconds. Compute the:
a. distance or height of the cliff to the ground?
b. final velocity of the rock before reaching the ground.
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Quiz: ΒΌ sheet of paper1. A ball is dropped from the 2nd floor
of a building and reached the ground after 0.98 second. Compute the:
a. distance or height
b. final velocity of the ball
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