In which of the following cases is the work done positive?a)Work done ...
Explanation:When a body is moving on a rough horizontal surface then their will be 2 forces acting on the body 1. Applied force ( in the direction of motion) 2. friction ( opposite to direction of motion)As applied force is in same direction as displacement so work done will be positive.
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In which of the following cases is the work done positive?a)Work done ...
Work done is defined as the product of the force applied on an object and the displacement of the object in the direction of the force. If the force and displacement are in the same direction, the work done is positive. If they are in opposite directions, the work done is negative.
a) Work done by friction on a body sliding down an inclined plane:
In this case, the frictional force opposes the motion of the body, and it acts in the opposite direction to the displacement. Hence, the work done by friction is negative.
b) Work done by gravitational force while a man lifts a bucket out of a well:
When the man lifts the bucket, the force exerted by the man is in the upward direction, and the displacement of the bucket is also in the upward direction. The gravitational force, on the other hand, acts in the downward direction. Since the force and displacement are in opposite directions, the work done by the gravitational force is negative.
c) Work done by the resistive force of air on a vibrating pendulum in bringing it to rest:
As the pendulum is brought to rest, the resistive force of air acts in the direction opposite to the displacement. Therefore, the work done by the resistive force of air is negative.
d) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity:
In this case, the applied force and the displacement are in the same direction. The work done by the applied force is given by the formula W = F * d * cosθ, where θ is the angle between the force and displacement vectors. Since the force and displacement are parallel, the angle θ is 0°, and the cosine of 0° is 1. Therefore, the work done is positive.
Hence, the correct answer is option D, where the work done by an applied force on a body moving on a rough horizontal plane with uniform velocity is positive.
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