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 will be
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First draw the free body diagram and then form the equation as tension becomes force....
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Answer:
The work done on the block will be -3mg/4.
Explanation:
Given,
The mass of the body is m.
The acceleration with which it is getting lowered g/4.
The distance traveled by the body is h.
To find,
The work done on lowering the body (W).
Calculation,
On the body weight is acting downwards, and the tension force is acting upwards, so the resulting acceleration of the body is due to the weight subtracted by tension.
i.e. W - T = Ma
⇒ mg - T = m(g/4)
⇒ T = 3mg/4
As the work is done only by the tension force acting on the block:
W = T.S
⇒ W = TS(cosθ)
⇒ W = 3mg/4 (h)(-1) (As S = h)
⇒ W = -3mgh/4
Therefore, the work done on the block will be -3mg/4.
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