Final answer:
The work done by a 74 N force pushing a pencil 4.62 m is calculated using the work formula, resulting in 341.88 Joules.
Step-by-step explanation:
To calculate the work done by a force on an object, we use the formula Work (W) = Force (F) × Distance (d) × cos(θ), where θ is the angle between the force and the direction of motion. Since the force applied to the pencil is along the same direction as the motion, the angle θ is 0 degrees, and the cosine of 0 is 1. Therefore, the work done by the 74 N force pushing a pencil for a distance of 4.62 m is simply 74 N × 4.62 m.
By calculating this, we get:
- Work done (W) = 74 N × 4.62 m = 341.88 Joules
The work done is thus 341.88 J. It's important to remember that work is a scalar quantity and does not have a direction associated with it.