Math Problem Statement
A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls on the leash with force F = (94.0 i + 133 j + 34.0 k) N along the leash.
Part 1
What is the magnitude of the pulling force?
Part 2
What angle does the leash make with the vertical?
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Magnitude
Dot Product
Trigonometry
Formulas
Magnitude of a vector: |F| = sqrt(Fx^2 + Fy^2 + Fz^2)
Angle with vertical: cos(θ) = Fz / |F|
Theorems
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Suitable Grade Level
Grades 11-12
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