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Problem 14-10: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 14

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 14

Question

Question:
A horizontal force acting on a 20-kilogram block has a magnitude that varies with position s according to F equals 50 times the square root of s, in newtons. When s equals zero, the block is moving to the right at v-sub-1 equals 6 meters per second. The coefficient of kinetic friction between the block and the surface is 0.3. Determine the distance s-sub-2 the block must slide before its velocity reaches v-sub-2 equals 15 meters per second.

Problem 14-10: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

This lesson applies the Work–Energy Theorem to find the displacement of a block acted on by a position-dependent force and kinetic friction. The method integrates the variable force to compute work, combines it with the constant friction work, and solves a nonlinear equation numerically for the unknown displacement.

In this lesson, you will learn to:
• Apply the Work–E

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