Work Done by Constant and Variable Forces: Practice Problem & Solution
A chord is used to lower vertically a block of mass M a distance d at a constant downward acceleration of g/4. Then the work done by the cord on the block is :
Solution Explained:
To solve this problem, we apply the core principles of Work Done by Constant and Variable Forces. Understanding the underlying formula is key to arriving at the correct answer below:
Forces acting on the object are , mg in downward direction and Tension force T in upward direction, as the object moves downward.
mg - T= ma= mg/4
so, T= 3mg/4
Work done by tension force is W= T.d.cos (180°)= -3mgd/4
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