In which of the following cases is the work done positive?a)Work done ...
Explanation:Work done is positive when force applied and displacement are in same direction.
W=F .s =Fscosθ
in this case angle between force and displacement is zero (i.e. cosθ=1) so that work done is positive.
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In which of the following cases is the work done positive?a)Work done ...
Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket
When a man lifts a bucket out of a well by means of a rope tied to the bucket, the work done by the man is positive. This is because the man applies a force on the bucket in the upward direction, and the displacement of the bucket is also in the upward direction.
To understand why the work done is positive, let's consider the definition of work. Work is defined as the product of the force applied on an object 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 applied, d is the displacement, and theta is the angle between the force and displacement vectors.
In this case, the force applied by the man is in the upward direction, and the displacement of the bucket is also in the upward direction. Therefore, the angle between the force and displacement vectors is 0 degrees, and cos(theta) is equal to 1. As a result, the work done by the man is positive.
Explanation:
- The man applies a force on the rope in the upward direction to lift the bucket.
- The bucket moves upward as a result of the applied force.
- The displacement of the bucket is in the upward direction.
- The force and displacement vectors are in the same direction, so the angle between them is 0 degrees.
- Cosine of 0 degrees is equal to 1.
- Therefore, the work done by the man is positive.
- This means that the man is exerting energy to lift the bucket out of the well.
- The positive work done indicates that the man is doing work on the system (the bucket) by transferring energy to it.
- The work done is positive because the force applied and the displacement are in the same direction.
In summary, the work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is positive because the applied force and displacement are in the same direction.
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