Math Problem Statement
A block of mass π = 25 ππ is sliding at an initial velocity π£ . It 0 = 10 π/π experiences a pushing force measured in Newtons and given by the equation π = 10π₯ starting at a position x=0. The block is pushed along a surface with 2
- 2 coefficients of friction Β΅ and . π = 0. 80 Β΅ π = 0. 25 a. Find the work done by the pushing force while the block is pushed in a straight line from x = 0 m to x = 5.0 m. b. Find the work done by friction while the block is pushed in a straight line from x = 0 m to x = 5.0 m. c. Find the speed of the block when it is at the position x = 5.0 m
Solution
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Math Problem Analysis
Mathematical Concepts
Physics
Work-Energy Theorem
Kinetics
Integration in Calculus
Formulas
Work done by a variable force W = β« F(x) dx
Kinetic friction force F_k = ΞΌ_k * m * g
Work-Energy Theorem: ΞKE = Work_net
Theorems
Work-Energy Theorem
Suitable Grade Level
Undergraduate Level (Physics I or equivalent)
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