Laws Of Motion Question 268

Question: A gardner waters the plants by a pipe of diameter 1mm. The water comes out at the rate or 10 cm3/sec. The reactionary force exerted on the hand of the gardner is [KCET 2000]

Options:

A) Zero

B) 1.27×102N

C) 1.27×104N

D) 0.127N

Show Answer

Answer:

Correct Answer: D

Solution:

Rate of flow of water Vt=10cm3sec=10×106m3sec

Density of water ρ=103kgm3

Cross-sectional area of pipe A=π(0.5×103)2

Forcse =mdvdt=mvt=Vρvt=ρVt×VAt=(Vt)2ρA

( v=VAt) By substituting the value in the above formula we get F=0.127N



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