Final answer:
To calculate the work done in each scenario, we use the formula Work = Force x Distance. For power, we use Power = Work / Time. Applying these formulas gives us specific numeric answers for the work done and the power used in lifting weights, pulling or pushing objects across various distances.
Step-by-step explanation:
To solve the problems listed, we need to calculate the work done, which can be defined as the product of the force applied and the displacement of the object in the direction of the force, given by the formula Work (W) = Force (F) × Distance (d).
The power used in the first question can be found using the formula Power (P) = Work (W) / Time (t). Applying these formulas, we can answer the questions as follows:
- Dante uses 15 J of work for 3 seconds, so the power he uses is Power = Work / Time = 15 J / 3 s = 5 W.
- The work done by pulling a bow 5 m with a force of 6.2 N is Work = Force × Distance = 6.2 N × 5 m = 31 J.
- Oscar does work pushing a lawn mower 5 meters with a force of 30 N, calculated as Work = Force × Distance = 30 N × 5 m = 150 J.
- An elephant moving a circus wagon 30 meters with a pulling force of 275 N does Work = Force × Distance = 275 N × 30 m = 8250 J.
- A 900N mountain climber scaling a 1000m cliff does Work = Force × Distance = 900 N × 1000 m = 900,000 J.
- Nicholas uses 55N of force to stop a cart over 1 meter, so he does Work = Force × Distance = 55 N × 1 m = 55 J.
- The work done pulling a wagon 13 meters with a force of 43N is Work = Force × Distance = 43 N × 13 m = 559 J.