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A light in extensible string that goes o...

A light in extensible string that goes over a smooth fixed pulley as shown in the figure connect two blocks of masses `0.36kg and 0.72kg`. Taking `g = 10 m//s^(2)`. Find the work done by string on the block of mass `0.36 kg` during the first second after the system is released from rest.

A

6 Joule

B

5 Joule

C

8 Joule

D

2 Joule

Text Solution

Verified by Experts

The correct Answer is:
C
`a= ((0.72- 0.36g)g)/(0.72+ 0.36)= (0.36)/(1.08) xx 10 = (10)/(3) m//s^(2)`
`mg- T= ma`
`rArr T= 0.72 xx 10- 0.24 xx (10)/(3)`
`= 7.2 - 2.4 = 4.8N`

Displacement -
`S= (1)/(2) a t^(2)= (1)/(2) xx ((10)/(3)) xx (1)^(2)= (5)/(3)` meter
Work done- `W= FS= 4.8 xx (5)/(3) = (24.0)/(3)` Joule= 8 Joule.
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