JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
Water is flowing at a speed of \(1.5\, ms^{-1}\) through a horizontal tube of cross-sectional area \(10^{-2}\, m^2\) and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm. the minimum force that you must exert should be ......... \(N\) (density of water \(= 10^3\, kgm^{-3}\))
- A \(22.5\)
- B \(15\)
- C \(33.7\)
- D \(45\)
Answer & Solution
Correct Answer
(A) \(22.5\)
Step-by-step Solution
Detailed explanation
\(F=v \frac{d m}{d t}\) \(=v A \rho v\) \(=v^{2} A \rho\) \(=(1.5)^{2} \times 10^{-2} \times 10^{3}\) \(=2.25 \times 10=22.5 N\)
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