1. A wooden block of mass m is pushed over a floor in a straight line in the x direction with a constant velocity vo > 0. At time t = 0, when the block is at position x = 0, it is no longer pushed and the block experiences only a constant sliding friction force F in the negative x-direction until it comes to rest. (i) Write down the equation of motion of the block for > 0. Calculate the time, t*, at which the block comes to a stop and also find the distance, d, travelled by the block from the time when the pushing is stopped to the time when it comes to rest. (ii) Calculate the work done by the friction force from x = it is equal to the change in the kinetic energy of the block. 0 to x = d, and then show that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
Question
1. A wooden block of mass m is pushed over a floor in a straight line in the x direction with a
constant velocity vo > 0. At time t = 0, when the block is at position x = 0, it is no longer
pushed and the block experiences only a constant sliding friction force F in the negative
x-direction until it comes to rest.
(i) Write down the equation of motion of the block for > 0. Calculate the time, t*, at which
the block comes to a stop and also find the distance, d, travelled by the block from the time
when the pushing is stopped to the time when it comes to rest.
(ii) Calculate the work done by the friction force from x =
it is equal to the change in the kinetic energy of the block.
0 to x =
d, and then show that
Transcribed Image Text:1. A wooden block of mass m is pushed over a floor in a straight line in the x direction with a constant velocity vo > 0. At time t = 0, when the block is at position x = 0, it is no longer pushed and the block experiences only a constant sliding friction force F in the negative x-direction until it comes to rest. (i) Write down the equation of motion of the block for > 0. Calculate the time, t*, at which the block comes to a stop and also find the distance, d, travelled by the block from the time when the pushing is stopped to the time when it comes to rest. (ii) Calculate the work done by the friction force from x = it is equal to the change in the kinetic energy of the block. 0 to x = d, and then show that
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