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Body of mass 40 kg is dragged it on a rough horizontal surface in 10 second with a constant velocity by a constant force of 20 N, then calculate the work done by the force and total work done by all the force?
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Body of mass 40 kg is dragged it on a rough horizontal surface in 10 s...
Work done by a force

Work done by a force can be calculated using the formula:

Work = Force × Distance × cos(θ)

Where:
- Force is the magnitude of the force applied,
- Distance is the distance over which the force is applied,
- θ is the angle between the force and the displacement vector.

In this case, the force applied is 20 N and the distance over which the force is applied is not given. However, it is mentioned that the body is dragged on a rough horizontal surface with a constant velocity. This implies that the force applied is equal to the frictional force.

Since the body is moving with a constant velocity, the net force acting on it must be zero. Therefore, the force applied (20 N) must be equal in magnitude and opposite in direction to the frictional force. This means that the frictional force is also 20 N.

As the body is moving horizontally, the angle between the applied force and the displacement vector is 0 degrees. Therefore, cos(0) = 1.

Hence, the work done by the force can be calculated as:

Work = 20 N × Distance × cos(0)
Work = 20 N × Distance × 1
Work = 20 N × Distance

Total work done by all the forces

In this case, the only force acting on the body is the applied force (frictional force). Therefore, the total work done by all the forces is equal to the work done by the applied force.

Hence, the total work done by all the forces is:

Total Work = Work done by the force
Total Work = 20 N × Distance

Therefore, the total work done by all the forces is equal to 20 N multiplied by the distance over which the body is dragged. The value of the distance is not given in the question, so the exact numerical value of the total work cannot be determined without that information.
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Body of mass 40 kg is dragged it on a rough horizontal surface in 10 second with a constant velocity by a constant force of 20 N, then calculate the work done by the force and total work done by all the force?
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