The force F, acting in a constant direction on the 22-kg block, has a magnitude that varies with the position s of the block. When s = 0 the block is moving to the right at v = 6 m/s. The coefficient of kinetic friction between the block and surface is μk= 0.3. Determine how far the block must slide before its velocity becomes 15 m/sm/s. Express your answer to three significant figures and include the appropriate units
The force F, acting in a constant direction on the 22-kg block, has a magnitude that varies with the position s of the block. When s = 0 the block is moving to the right at v = 6 m/s. The coefficient of kinetic friction between the block and surface is μk= 0.3. Determine how far the block must slide before its velocity becomes 15 m/sm/s. Express your answer to three significant figures and include the appropriate units
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The force F, acting in a constant direction on the 22-kg block, has a magnitude that varies with the position s of the block. When s = 0 the block is moving to the right at v = 6 m/s. The coefficient of kinetic friction between the block and surface is μk= 0.3.
Determine how far the block must slide before its velocity becomes 15 m/sm/s.
Express your answer to three significant figures and include the appropriate units.
Hint 1for Part A. How to approach the problem
Use the principle of work and energy for the particle, which states that the particle's initial kinetic energy plus the work done by all the forces acting on the particle as it moves from its initial to its final position is equal to the particle's final kinetic energy. Note that besides force FF shown in the figure, the friction force acts on the block during its motion.
Hint 2for Part A. How to find the friction force
The friction force is directly related to the normal reaction, which in turn equals the weight of the block in this problem. Recall that the friction force acts in the direction opposite to that of displacement, so it does negative work.
The answer is not 32.1 m
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