In a laboratory experiment, a sphere of diameter 8.0 mm is released from rest at t = 0 at the surface of honey in a jar, and the sphere's downward speed v when it travels in the honey is found to be given by v = Vmax (1 - e-t/), where Vmax=0.040 m/s and T = 0.50 s. (a) Obtain an expression for a(t). (b) Draw graphs for v(t) and a(t) for the time interval 0 to 2.0 s. (c) Obtain an expression for x(t), choosing the positive x axis as downward, and draw the graph for this func-

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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Vmax
In a laboratory experiment, a sphere of diameter
8.0 mm is released from rest at t = 0 at the surface of
honey in a jar, and the sphere's downward speed v
when it travels in the honey is found to be given by
v = Vmax (1 - e-t/T), where
0.040 m/s and
T = 0.50 s. (a) Obtain an expression for a(t). (b) Draw
graphs for v(t) and a(t) for the time interval 0 to 2.0 s.
(c) Obtain an expression for x(t), choosing the positive
x axis as downward, and draw the graph for this func-
tion. (d) Use your x(t) graph to determine the time
interval needed for the sphere to reach the bottom of the
container if the surface of the honey is 0.10 m above the
bottom of the jar. ...
=
Transcribed Image Text:Vmax In a laboratory experiment, a sphere of diameter 8.0 mm is released from rest at t = 0 at the surface of honey in a jar, and the sphere's downward speed v when it travels in the honey is found to be given by v = Vmax (1 - e-t/T), where 0.040 m/s and T = 0.50 s. (a) Obtain an expression for a(t). (b) Draw graphs for v(t) and a(t) for the time interval 0 to 2.0 s. (c) Obtain an expression for x(t), choosing the positive x axis as downward, and draw the graph for this func- tion. (d) Use your x(t) graph to determine the time interval needed for the sphere to reach the bottom of the container if the surface of the honey is 0.10 m above the bottom of the jar. ... =
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