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Work done by a centripetal force
- a)increases by decreasing the radius of the circle
- b)decreases by increasing the radius of the circle
- c)increases by increasing the mass of the body
- d)is always zero?
Correct answer is option 'D'. Can you explain this answer?
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Work done by a centripetal forcea)increases by decreasing the radius o...
Work done by a centripetal force
The work done by a force is defined as the product of the magnitude of the force and the distance over which the force is applied. In the case of a centripetal force, which is directed towards the center of a circular path, the work done can be analyzed as follows:
1. Definition of work: Work is defined as the product of the force and the displacement of the object in the direction of the force. Mathematically, work (W) is given by the equation W = F * d * cos(theta), where F is the force, d is the displacement, and theta is the angle between the force and the displacement vectors.
2. Centripetal force: A centripetal force is a force that acts towards the center of a circular path and is responsible for keeping an object moving in a curved path. It is always perpendicular to the displacement of the object.
3. Perpendicular displacement: The displacement of an object moving in a circular path is always perpendicular to the direction of the centripetal force. This means that the angle between the force vector and the displacement vector is 90 degrees (cos(90) = 0).
4. Work done by a centripetal force: Since the angle between the force and the displacement vectors is 90 degrees, the cosine of 90 degrees is zero. Therefore, the work done by a centripetal force is always zero.
Therefore, the correct answer is D: The work done by a centripetal force is always zero.
The work done by a force is defined as the product of the magnitude of the force and the distance over which the force is applied. In the case of a centripetal force, which is directed towards the center of a circular path, the work done can be analyzed as follows:
1. Definition of work: Work is defined as the product of the force and the displacement of the object in the direction of the force. Mathematically, work (W) is given by the equation W = F * d * cos(theta), where F is the force, d is the displacement, and theta is the angle between the force and the displacement vectors.
2. Centripetal force: A centripetal force is a force that acts towards the center of a circular path and is responsible for keeping an object moving in a curved path. It is always perpendicular to the displacement of the object.
3. Perpendicular displacement: The displacement of an object moving in a circular path is always perpendicular to the direction of the centripetal force. This means that the angle between the force vector and the displacement vector is 90 degrees (cos(90) = 0).
4. Work done by a centripetal force: Since the angle between the force and the displacement vectors is 90 degrees, the cosine of 90 degrees is zero. Therefore, the work done by a centripetal force is always zero.
Therefore, the correct answer is D: The work done by a centripetal force is always zero.
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Work done by a centripetal forcea)increases by decreasing the radius of the circleb)decreases by increasing the radius of the circlec)increases by increasing the mass of the bodyd)is always zero?Correct answer is option 'D'. Can you explain this answer?
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