Final answer:
Work done by a force is the product of the force applied and the displacement in the force's direction, provided as the simple calculations of 40-N force over 10 m and 20-N force over 30 m, with corresponding work values of 400 Joules and 600 Joules, respectively.
Step-by-step explanation:
The question pertains to the concept of work done by a force in Physics. Work is calculated as the product of the force applied to an object and the displacement of the object in the direction of the force. Specifically, the question asks us to calculate the work done when a constant force is applied over a certain distance, which is a straightforward application of the work formula:
Work = Force × Distance × cos(θ)
For the scenarios given:
- A 40-N force applied over a distance of 10 m results in a work done of 400 Joules (assuming the force is in the direction of movement).
- A 20-N force applied over a distance of 30 m results in a work done of 600 Joules (again, assuming the force is in the direction of movement).
When a force is applied at an angle, θ represents the angle between the force and the direction of displacement, but in a straight-line push, as described in the question, this angle is 0 degrees, thus cos(θ) = cos(0) = 1.