A body of mass M tied to a string is lowered at a constant acceleration of (g/4) through a vertical distance h. The work done by the string will be :-MghMghMghMgh
Question
A body of mass M tied to a string is lowered at a constant acceleration of (g/4) through a vertical distance h. The work done by the string will be :-MghMghMghMgh
Solution
The work done by the string can be calculated using the formula:
Work = Force x Distance
In this case, the force exerted by the string is equal to the weight of the body, which is given by the formula:
Force = mass x acceleration due to gravity
Since the body is lowered at a constant acceleration of (g/4), the acceleration due to gravity is divided by 4. Therefore, the force exerted by the string is:
Force = mass x (g/4)
Next, we need to calculate the distance through which the body is lowered. The vertical distance h is given in the problem.
Finally, we can substitute the values into the work formula:
Work = (mass x (g/4)) x h
Simplifying this expression, we get:
Work = (Mgh)/4
Therefore, the work done by the string is (Mgh)/4.
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