A worked example is a problem-solving technique that helps develop analytical and conceptual skills. One example involves calculating the amount of work done in lifting a box against gravity. The formula for work is Force multiplied by Distance.
A worked example is a problem-solving technique that helps students develop analytical and conceptual skills.
It consists of four parts: an introduction that presents a real-world application, a strategy section that explains the concepts involved, a mathematical solution, and a discussion of the solution.
For example, let's consider a physics problem where you need to calculate the amount of work done.
Suppose you lifted a box with a mass of 10 kg vertically to a height of 2 meters.
By the scientific definition, work is done when a force is applied to move an object over a distance. In this instance, you did work against the force of gravity.
The formula for work is:
Work = Force \times Distance
Since the box was lifted vertically, the force exerted against gravity is equal to the weight of the box, which is calculated as:
Force = Mass \times Gravity
Plugging in the values into the formulas, we have:
Mass = 10 kg
Gravity = 9.8 m/s^2
Distance = 2 m
Substituting these values:
Force = 10 kg \times 9.8 m/s^2 = 98 N
Finally, the work done is:
Work = 98 N \times 2 m = 196 J