To solve physics problems about work in Gymnasium Year 1, we use this simple formula:

$W = F \cdot d \cdot \cos(\theta)$

Here’s what the symbols mean:

• W = work done (measured in joules, J)
• F = force applied (measured in newtons, N)
• d = distance the object moves (measured in meters, m)
• θ = angle between the force and the direction the object moves

Steps to Solve Problems:

1. Identify Forces: Look for all the forces acting on the object.
2. Measure Distance: Write down how far the object moves in the direction of the force.
3. Find the Angle: Figure out the angle between the force and the direction the object moves.
4. Calculate Work: Put your values into the formula to find out how much work is done.

Example:

Imagine you push an object with a force of 10 N for a distance of 5 m at an angle of 0°. To find the work done, you would do the math like this:

$W = 10 \cdot 5 \cdot \cos(0°) = 50 \, J$

Using this method helps us understand how energy moves in different situations.