A stone of mass m falls from the top of a tower of height 150 m. The stone's position y (measured down from the top of the tower where y=0) as a function of time is given as: mg k -t- where g is the gravitational acceleration and k is the air resistance coefficient. Assuming that m = 0.5 kg, g = 9.81 m/s² and k = 0.01 kg/m, find numerically the time required for the stone to hit the ground? (Achieve an accuracy of six decimal places)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A stone of mass m falls from the top of a tower of height 150 m. The stone's
position y (measured down from the top of the tower where y=0) as a function
of timer is given as:
mg
(1-ek/m).
where g is the gravitational acceleration and k is the air resistance coefficient.
Assuming that m = 0.5 kg, g = 9.81 m/s² and k = 0.01 kg/m, find numerically
the time required for the stone to hit the ground? (Achieve an accuracy of six
decimal places)
k
-t-
Transcribed Image Text:A stone of mass m falls from the top of a tower of height 150 m. The stone's position y (measured down from the top of the tower where y=0) as a function of timer is given as: mg (1-ek/m). where g is the gravitational acceleration and k is the air resistance coefficient. Assuming that m = 0.5 kg, g = 9.81 m/s² and k = 0.01 kg/m, find numerically the time required for the stone to hit the ground? (Achieve an accuracy of six decimal places) k -t-
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