falling bodies (physics)
TRANSCRIPT
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What goes up must go down!
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Falling Bodies
Free Fall
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Gravity
• The attraction due to gravitation
that the Earth exerts on or near its
surface
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Christian Huygens• 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
9.8𝑚
𝑠2
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• 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 • 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
𝑑𝑦 = 𝑣𝑦𝑜𝑡 +𝑔𝑡2
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
𝑣𝑦𝑓 = 𝑣𝑦𝑜 + 𝑔𝑡
Where vyf is final velocity.
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𝑣𝑦𝑜
𝑣𝑦𝑓
𝑑𝑦
Y
X
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Sample Problem:• The time a male bungee jumper is
freely falling is 1.5 seconds. – What is the velocity of the jumper at
the end of 1.5 seconds?
– How far does he fall?
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DISTANCE
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Given:
• vi = 0
• t = 1.5 s g = 9.8 m/s2
• 𝑣𝑓 = 𝑣𝑖 + 𝑔𝑡
• vf = 0 + (9.8m/s2)(1.5s)
• vf = 14.7 m/s or 15 m/s
• 𝑑 = 𝑣𝑖𝑡 +𝑔𝑡2
2
• d = (0)(1.5s) + (9.8 m/s2)(1.5s)2/2
• d = 11.025m or 11 m
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Reaction Time
• The time between stimulus and response.
• Measure your reaction time. ..\Activities\My Reaction Time.pdf
• Challenge your reaction time through paper bill challenge. (catch me if you can)
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Quiz: ¼ 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: ¼ 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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