Mechanics: Vectors and Forces in Two-Dimensions
Vectors and Forces in 2-D: Audio Guided Solution
Mom and Dad have tied a rope to Matthew’s sled and are momentarily pulling him through the snow. Dad is pulling with force A and Mom with force B.
A: 54 N at 65° north of east
B: 130 N at 22° south of east
a. Determine the resultant force of A and B.
b. Determine the acceleration that these momentary forces would create for a 39-kg sled and child (assuming negligible friction).
Audio Guided Solution
Habits of an Effective Problem Solver
Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., m = 1.25 kg, µ = 0.459, vo = 0.0 m/s, Ø = 41.6º, vf = ???.
Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
Identify the appropriate formula(s) to use.
Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
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