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No work is done by a force on an object if
- a)The force is always perpendicular to its velocity
- b)The force is always perpendicular to its acceleration
- c)The object is stationary but the point of application of the force moves on the object.
- d)The object moves in such a way that the point of application of the force remains fixed.
Correct answer is option 'A,B'. Can you explain this answer?
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No work is done by a force on an object ifa)The force is always perpen...
Work done = f.ds
So on perpendicular application for product becomes zero so no work is done
So on perpendicular application for product becomes zero so no work is done
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No work is done by a force on an object ifa)The force is always perpen...
Work done = f.ds
So on perpendicular application for product becomes zero so no work is done
So on perpendicular application for product becomes zero so no work is done
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No work is done by a force on an object ifa)The force is always perpen...
**Explanation:**
In order to understand why the correct answers are option 'A' and 'B', let's first define what work is. Work is defined as the product of the magnitude of the force applied on an object and the displacement of the object in the direction of the force. Mathematically, work is given by the equation:
**Work = Force x Displacement x cos(θ)**
Where θ is the angle between the force vector and the displacement vector.
Let's analyze each option to see why work is not done in those cases:
**a) The force is always perpendicular to its velocity:**
- When the force is perpendicular to the velocity, the angle θ between the force vector and the displacement vector is 90 degrees.
- In this case, cos(90) = 0, so the work done is zero.
- Therefore, no work is done by the force on the object.
**b) The force is always perpendicular to its acceleration:**
- When the force is perpendicular to the acceleration, the angle θ between the force vector and the displacement vector is 90 degrees.
- In this case, cos(90) = 0, so the work done is zero.
- Therefore, no work is done by the force on the object.
**c) The object is stationary but the point of application of the force moves on the object:**
- In this case, although the force may be applied, the object does not undergo any displacement.
- Since displacement is zero, the work done is also zero.
- Therefore, no work is done by the force on the object.
**d) The object moves in such a way that the point of application of the force remains fixed:**
- In this case, the object may undergo displacement, but the force is not applied at the point of displacement.
- Since the force is not applied in the direction of the displacement, the angle θ between the force vector and the displacement vector is 90 degrees.
- In this case, cos(90) = 0, so the work done is zero.
- Therefore, no work is done by the force on the object.
In conclusion, work is only done when there is a component of the force in the direction of the displacement. If the force is perpendicular to either the velocity or the acceleration of the object, or if the object does not undergo any displacement, then no work is done by the force on the object.
In order to understand why the correct answers are option 'A' and 'B', let's first define what work is. Work is defined as the product of the magnitude of the force applied on an object and the displacement of the object in the direction of the force. Mathematically, work is given by the equation:
**Work = Force x Displacement x cos(θ)**
Where θ is the angle between the force vector and the displacement vector.
Let's analyze each option to see why work is not done in those cases:
**a) The force is always perpendicular to its velocity:**
- When the force is perpendicular to the velocity, the angle θ between the force vector and the displacement vector is 90 degrees.
- In this case, cos(90) = 0, so the work done is zero.
- Therefore, no work is done by the force on the object.
**b) The force is always perpendicular to its acceleration:**
- When the force is perpendicular to the acceleration, the angle θ between the force vector and the displacement vector is 90 degrees.
- In this case, cos(90) = 0, so the work done is zero.
- Therefore, no work is done by the force on the object.
**c) The object is stationary but the point of application of the force moves on the object:**
- In this case, although the force may be applied, the object does not undergo any displacement.
- Since displacement is zero, the work done is also zero.
- Therefore, no work is done by the force on the object.
**d) The object moves in such a way that the point of application of the force remains fixed:**
- In this case, the object may undergo displacement, but the force is not applied at the point of displacement.
- Since the force is not applied in the direction of the displacement, the angle θ between the force vector and the displacement vector is 90 degrees.
- In this case, cos(90) = 0, so the work done is zero.
- Therefore, no work is done by the force on the object.
In conclusion, work is only done when there is a component of the force in the direction of the displacement. If the force is perpendicular to either the velocity or the acceleration of the object, or if the object does not undergo any displacement, then no work is done by the force on the object.
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No work is done by a force on an object ifa)The force is always perpendicular to its velocityb)The force is always perpendicular to its accelerationc)The object is stationary but the point of application of the force moves on the object.d)The object moves in such a way that the point of application of the force remains fixed.Correct answer is option 'A,B'. Can you explain this answer?
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