Rearranging Work Equation and Examples
Learn how to mathematically rearrange the work equation and calculate work using the formula W = F x d. Understand the relationship between force, distance, and work through detailed examples and step-by-step solutions.
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Rearranging Work Equation and teach examples
Learning Objectives I can mathematically rearrange the work equation. I can calculate work using the formula.
Calculating Work work = force x distance Meters Joules Newtons W = F x d All or part of the force must act in the direction of the movement.
Formula Representation Formula Represents Work Units W = f = Force d = Distance Joules (J) newton (N) Meter W = F(d)
Solve for Force (f) Solve for Force (f) Step 1 Divide both sides by d - distance W = f(d) d __ __ d f = ? ?
Solve for Distance (d) Solve for Distance (d) Step 1 Divide both sides by f - force W = f(d) f __ __ f d = ? ?
Work Related Equations Work Force F = ? Distance D = ? W = f D ? ?
Calculation Example #1 1. A person expended 500N to move a full wheelbarrow 30m. How much work was done? Given/ Unknown W = f = d = Work ? 500N 30m W = 15,000J W = (500N)(30m) W = f(d)
Calculation Example #2 2. A box is pushed 40m by a mover. The amount of work done was 2,240J. How much force was exerted on the box? Given/ Unknown W = f = d = Work 2,240 ? 40m 2,240J 40m f =W f = 56N f = d
Calculation Example #3 3. A man applies a force of 500N to push a truck and completes 50,000J of work. How much distance did the truck move? Given/ Unknown W = f = d = Work 50,000J 500N ? d =W 50,000J 500N d = 100m d = f
