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Force f on a particle moving in a straight line varies with distance d as shown in the figure .The work done on the particle during its displacement of 12 metre is?
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Force f on a particle moving in a straight line varies with distance d...


Calculating Work Done on a Particle

- The work done on a particle during its displacement can be calculated using the formula:

W = ∫F · ds

- Where W is the work done, F is the force acting on the particle, and ds is the infinitesimal displacement of the particle.

Given Information

- In this case, the force on the particle varies with distance as shown in the figure.
- The particle is displaced by 12 meters.

Calculating the Work Done

- To calculate the work done on the particle during its displacement of 12 meters, we need to integrate the force function over the displacement.

- We need to find the expression for the force as a function of distance and then integrate it over the distance.

- Once we have the expression for the force as a function of distance, we can then substitute the limits of integration (0 to 12 meters) to find the work done.

- The work done on the particle during its displacement of 12 meters can be calculated using the formula mentioned above.

- Perform the integration to find the work done on the particle during its displacement of 12 meters.

- The result obtained from the integration will give us the work done on the particle during its 12-meter displacement.

By following these steps, you can calculate the work done on the particle during its displacement of 12 meters.
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Force f on a particle moving in a straight line varies with distance d...
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Force f on a particle moving in a straight line varies with distance d as shown in the figure .The work done on the particle during its displacement of 12 metre is?
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