Class 11 Exam > Class 11 Questions > In which case is the work done zero?a)Force a...
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In which case is the work done zero?
- a)Force and displacement are at an angle of 75o
- b)Force and displacement are at an angle of 45o
- c)Force and displacement are in the same direction
- d)Force and displacement are perpendicular to each other
Correct answer is option 'D'. Can you explain this answer?
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In which case is the work done zero?a)Force and displacement are at an...
Explanation:Work done is given as
W = Fdcosθ
Here θ is the angle between F and d if both are perpendicular then θ = 90 degree so cosθ = 0 and thus work done is 0 .
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In which case is the work done zero?a)Force and displacement are at an...
Force and displacement are perpendicular to each other
When the force and displacement are perpendicular to each other, the work done is zero. This is because work is defined as the product of the magnitude of the force and the displacement, multiplied by the cosine of the angle between the force and displacement vectors.
Mathematically, the work done (W) is given by:
W = F * d * cos(theta)
where F is the magnitude of the force, d is the magnitude of the displacement, and theta is the angle between the force and displacement vectors.
Explanation:
When the force and displacement are perpendicular to each other, the angle between them is 90 degrees. In this case, the cosine of 90 degrees is zero, which means that the work done is zero.
The reason for this is that when the force and displacement are perpendicular, the force is not contributing to the movement or displacement of the object in the direction of the force. The force is acting in a direction that is perpendicular to the direction of the displacement, so it does not do any work on the object.
In other words, when the force and displacement are perpendicular, the force is only causing the object to move in a direction that is perpendicular to the force. Since the work done is defined as the force times the displacement in the direction of the force, and the displacement in this case is perpendicular to the force, the work done is zero.
This can be visualized by imagining a person pushing a box horizontally across a table. If the force is applied perpendicular to the displacement (i.e., pushing the box sideways), the box will not move in the direction of the force, and no work is done on the box.
Therefore, in the case where the force and displacement are perpendicular to each other, the work done is zero.
When the force and displacement are perpendicular to each other, the work done is zero. This is because work is defined as the product of the magnitude of the force and the displacement, multiplied by the cosine of the angle between the force and displacement vectors.
Mathematically, the work done (W) is given by:
W = F * d * cos(theta)
where F is the magnitude of the force, d is the magnitude of the displacement, and theta is the angle between the force and displacement vectors.
Explanation:
When the force and displacement are perpendicular to each other, the angle between them is 90 degrees. In this case, the cosine of 90 degrees is zero, which means that the work done is zero.
The reason for this is that when the force and displacement are perpendicular, the force is not contributing to the movement or displacement of the object in the direction of the force. The force is acting in a direction that is perpendicular to the direction of the displacement, so it does not do any work on the object.
In other words, when the force and displacement are perpendicular, the force is only causing the object to move in a direction that is perpendicular to the force. Since the work done is defined as the force times the displacement in the direction of the force, and the displacement in this case is perpendicular to the force, the work done is zero.
This can be visualized by imagining a person pushing a box horizontally across a table. If the force is applied perpendicular to the displacement (i.e., pushing the box sideways), the box will not move in the direction of the force, and no work is done on the box.
Therefore, in the case where the force and displacement are perpendicular to each other, the work done is zero.
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In which case is the work done zero?a)Force and displacement are at an angle of 75ob)Force and displacement are at an angle of 45oc)Force and displacement are in the same directiond)Force and displacement are perpendicular to each otherCorrect answer is option 'D'. Can you explain this answer?
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