Question

a rope is used to lower vertically a block of mass M at a distance x at a constant download acceleration G / 2 the work done by the rope on the block​

Answer 1

Answer:

The work done by the rope on the block is $-\frac{Mgx}{2}$

Explanation:

Let the tension in the rope is T

Acceleration of the block $a=g/2$

The force equation will be

$Mg-T=Ma$

$Mg-T=M\frac{g}{2}$

$\implies T=Mg-M\frac{g}{2}$

$\implies T=\frac{Mg}{2}$

Since the tension is in the upward direction and the block is lowered downwards

Therefore, the work done will be negative

∴ Work done

$=-Tx$

$=-\frac{Mg}{2}\times x$

$=-\frac{Mgx}{2}$

Therefore the work done by the rope on the block is $-\frac{Mgx}{2}$

Hope this is helpful.

Answer 2

Explanation:

hope this answer helps