f. Sketch a graph of the x scalar component of the friction force as a function of time. Remember, for the first 5 seconds it will be a kinetic friction, but for the last 5 seconds it will be a static friction. g. Sketch a graph of the x scalar component of the acceleration of the book as a function of time. h. Write down an equation that describes the velocity vector as a function of time, for 0-5s. You can call the velocity of the book at t = 0 v. i. Write down an equation that describes the position vector as a function of time, for 0-5s. You can call

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Chapter1: Units, Trigonometry. And Vectors
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d , e and f

f. Sketch a graph of the x scalar component of the friction force as a function of time. Remember, for the
first 5 seconds it will be a kinetic friction, but for the last 5 seconds it will be a static friction.
g. Sketch a graph of the x scalar component of the acceleration of the book as a function of time.
h. Write down an equation that describes the velocity vector as a function of time, for 0-5s. You can call
the velocity of the book at t = 0 v.
i. Write down an equation that describes the position vector as a function of time, for 0-5s. You can call
the position of the book at t = 07.
Transcribed Image Text:f. Sketch a graph of the x scalar component of the friction force as a function of time. Remember, for the first 5 seconds it will be a kinetic friction, but for the last 5 seconds it will be a static friction. g. Sketch a graph of the x scalar component of the acceleration of the book as a function of time. h. Write down an equation that describes the velocity vector as a function of time, for 0-5s. You can call the velocity of the book at t = 0 v. i. Write down an equation that describes the position vector as a function of time, for 0-5s. You can call the position of the book at t = 07.
3. You are pushing a book with a force Fy, to the right across a level table at a constant velocity under the
influence of kinetic friction. At t = 0 s, you reduce the magnitude of your force from F, to 0, at a constant
rate over the course of 10 s. For the first 5 s of this time the book is still sliding, however during the last 5 s
the book is at rest with respect to the table. Use a coordinate system such that the î points to the right.
a. Write an expression to describe the scalar component of your pushing force in the x-direction as a
function of time. Remember, it has a value of F, at t = 0 and linearly decreases until it reaches 0 at
t = 10s. (This step has nothing to do with forces or physics, it is purely mathematical.)
b. In which direction does the acceleration of the book point? In which direction does the parallel
component of the contact force (a.k.a. the friction force) point?
c. Draw a FBD for the book.
d. Write a Newton's 2nd Law equation for the book. Leave å as a variable, since we know it is different
from 0-5s than from 5-10s.
e. Describe in, words or equations, the magnitude of the friction force from 0-5s (when it is kinetic
friction). What is the kinetic friction force in terms of F,? (Hint: think about the motion of the book
before t = 0.) Describe, in words or equations, the magnitude of the friction force from 5-10s (when it
is static friction).
Transcribed Image Text:3. You are pushing a book with a force Fy, to the right across a level table at a constant velocity under the influence of kinetic friction. At t = 0 s, you reduce the magnitude of your force from F, to 0, at a constant rate over the course of 10 s. For the first 5 s of this time the book is still sliding, however during the last 5 s the book is at rest with respect to the table. Use a coordinate system such that the î points to the right. a. Write an expression to describe the scalar component of your pushing force in the x-direction as a function of time. Remember, it has a value of F, at t = 0 and linearly decreases until it reaches 0 at t = 10s. (This step has nothing to do with forces or physics, it is purely mathematical.) b. In which direction does the acceleration of the book point? In which direction does the parallel component of the contact force (a.k.a. the friction force) point? c. Draw a FBD for the book. d. Write a Newton's 2nd Law equation for the book. Leave å as a variable, since we know it is different from 0-5s than from 5-10s. e. Describe in, words or equations, the magnitude of the friction force from 0-5s (when it is kinetic friction). What is the kinetic friction force in terms of F,? (Hint: think about the motion of the book before t = 0.) Describe, in words or equations, the magnitude of the friction force from 5-10s (when it is static friction).
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