A 9 kg object starting from rest falls through a viscous medium and experiences a resistive force R = −b v, where v is the velocity of the object. The acceleration of gravity is 9.8 m/s^2. a) If the object’s speed reaches one-half its terminal speed in 5.24s, determine the terminal speed. Answer in units of m/s. b) At what time is the speed of the object threefourths the terminal speed? Answer in units of s. c) How far has the object traveled in the first 5.24s of motion? Answer in units of m.
A 9 kg object starting from rest falls through a viscous medium and experiences a resistive force R = −b v, where v is the velocity of the object. The acceleration of gravity is 9.8 m/s^2. a) If the object’s speed reaches one-half its terminal speed in 5.24s, determine the terminal speed. Answer in units of m/s. b) At what time is the speed of the object threefourths the terminal speed? Answer in units of s. c) How far has the object traveled in the first 5.24s of motion? Answer in units of m.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 13OQ: As a raindrop falls through the atmosphere, its speed initially changes as it falls toward the...
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A 9 kg object starting from rest falls through
a viscous medium and experiences a resistive
force R = −b v, where v is the velocity of the
object.
The acceleration of gravity is 9.8 m/s^2.
a) If the object’s speed reaches one-half its terminal speed in 5.24s, determine the terminal
speed.
Answer in units of m/s.
b) At what time is the speed of the object threefourths the terminal speed?
Answer in units of s.
c) How far has the object traveled in the first 5.24s of motion?
Answer in units of m.
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