A parachutist whose mass is 75 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 30 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 15 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec².
A parachutist whose mass is 75 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 30 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 15 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec².
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 40P: A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under...
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Step 1: Given that:
VIEWStep 2: Determination of time taken to reach the velocity of 30 m/s when parachute is closed:
VIEWStep 3: Calculation of distance traveled in t(1) sec:
VIEWStep 4: Determination of terminal velocity when parachute is open:
VIEWStep 5: Determination of time taken t(2) to reach the terminal velocity:
VIEWStep 6: Calculation of time t(3) taken to cover rest of the distance
VIEWStep 7: Calculation of total time:
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