Math Problem Statement
- A mail sack with a mass of 85 kg hangs from a vertical rope 2.5 m long. the worker moves the mail sack to the side 0.9 m (measured horizontally) while keeping the length of the rope time is tight. (The attachment point of the upper part of the rope remains in place.) a. What horizontal force is needed to hold the mail sack in the new location? b. When the sack is moved to this location, how much work does the worker do?
Solution
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Math Problem Analysis
Mathematical Concepts
Static Equilibrium
Work and Energy
Trigonometry
Formulas
sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
F = T * sin(θ)
T = W / cos(θ)
W = F * x
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 11-12