Math Problem Statement

A 135 lb golfer is pushing their 23 lb golf bag up a 20 ∘ hill. The tractive force between the golfer and the ground is 92 lb. Assume the golfer pushes on the bag parallel to the ground and the wheels of the golf bag roll freely. Determine the acceleration of the golf bag.

Solution

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Math Problem Analysis

Mathematical Concepts

Newton's Laws of Motion
Forces on Inclined Planes
Trigonometry
Weight and Mass Conversion

Formulas

Weight parallel to incline: W_parallel = W_bag * sin(θ)
Force parallel to incline: F_parallel = F_tract * cos(θ)
Newton's second law: F_net = m * a
Mass of golf bag: m = W_bag / g (g = 32.2 ft/s^2)
Acceleration: a = F_net / m

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 10-12