Numerical Example on Work and Energy
Let's consider a simple numerical problem to illustrate the concepts of work and energy.
Problem Statement:
A force of 10 N is applied to push a box on a horizontal surface for a distance of 5 meters. Calculate the work done on the box.
Given Data:
- Force (F) = 10 N
- Distance (d) = 5 m
- Angle (θ) between force and displacement = 0° (since the force is applied in the direction of displacement)
Formula for Work Done:
The work done (W) can be calculated using the formula:
W = F × d × cos(θ)
Calculation Steps:
- Substitute the known values into the formula:
W = 10 N × 5 m × cos(0°)
- Since cos(0°) = 1:
W = 10 N × 5 m × 1
- Therefore,
W = 50 Joules
Conclusion:
The work done on the box is 50 Joules.
Understanding Work and Energy:
- Work is the energy transferred when a force causes an object to move.
- The unit of work is Joules (J).
- Energy can be transformed from one form to another, but the total energy remains constant (law of conservation of energy).
Significance of the Result:
This example demonstrates how work is calculated in a straightforward scenario. Understanding this concept is fundamental to grasping the broader principles of physics, particularly in mechanics.
For more detailed explanations and practice problems, consider exploring resources like EduRev.