1.

A gardener is watering plants at the rate 0.1 litre/sec using a pipe of cross - section 1 cm^(2). What additional force he has to exert if he desires to increase the rate of watering two times ?

Answer»

Solution :`F=Adv^(2)=((Av)^(2)d)/(A)` If rate of watering plant (Av) is DOUBLED, it means amount of water poured / SEC is doubled which is possible only if VELOCITY is doubled. Hence force is to be made 4 times.
`THEREFORE` additional force = 3 times initial force
`=3 Adv^(2)=3((Av)^(2))/(A)d`
`=(3xx0.1xx0.1xx10^(3))/(10^(-4))=3xx10^(5)N`


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