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 t > 0. Calculate the time, tx, 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 = 0 to x = d, and then show that it is equal to the change in the kinetic energy of the block.

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 t > 0. Calculate the time, tx, 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 = 0 to x = d, and then show that it is equal to the change in the kinetic energy of the block.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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