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Q.

A flat plate moves normally towards a discharging jet of water at the rate of 3 m/s. The jet discharges the water at the rate of $0.1 m^{3} / s$ and at the speed of 18 m/s. The force exerted on the plate due to the jet, assuming after impact water moves along the plate, is

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a

2100 N

b

1560 N

c

1800 N

d

2450 N

answer is C.

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Detailed Solution

Relative velocity of the water jet with respect to the moving plate = $(18 + 3) m s^{- 1} = 21 m s^{- 1}$

The mass hitting the plate per second = $a ρ (21)$

$∴ a$ is cross-sectional area of the jet

$F = M V = [a ρ (21)] (21) = 441 a ρ$

$F = 441 \times ρ \times \frac{0.1}{18} = \frac{441 \times 0.1 \times 1000}{18} = 2450 N$

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A flat plate moves normally towards a discharging jet of water at the rate of 3 m/s. The jet discharges the water at the rate of 0.1 m3/s and at the speed of 18 m/s. The force exerted on the plate due to the jet, assuming after impact water moves along the plate, is