a particle moves under the effect of force f2 from x=0 to x=4 of the work done by force
To find the work done by force F2 on the particle as it moves from x = 0 to x = 4, you need to calculate the area under the force-distance graph.
1. Determine the force as a function of position. The force may be given in the problem statement or you may need to derive it using equations of motion or other relevant information.
2. Once you have an expression for the force as a function of position, integrate it with respect to distance (x) from x = 0 to x = 4. This will give you the work done by force F2 over that distance.
If the force is constant:
- Calculate the magnitude of the force (F2).
- Work done (W) is equal to the force multiplied by the displacement (Δx), which is 4 - 0 = 4 in this case.
- So, W = F2 * Δx.
If the force varies with position:
- Express the force as a function of position (F2(x)).
- Integrate the force function with respect to x over the range of 0 to 4: ∫F2(x) dx.
- Evaluate the definite integral at x = 4 and subtract the value at x = 0 to find the work done.
Remember to check the units of force and position to ensure they are compatible and use the appropriate units in your final answer.