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Question

A large vehicle in Fig. is slowed by lowering a 2-m\textrm{2-m}-wide scoop into a reservoir of water. Estimate the force exerted on the scoop if the vehicle is traveling at 60 m/s60 \mathrm{~m} / \mathrm{s} and it scoops off 5 cm5 \mathrm{~cm} of water? The scoop diverts the water through 180180^{\circ}. (A) 720 kN720~\mathrm{kN} (B) 360 kN360 ~\mathrm{kN} (C) 12 kN12 ~\mathrm{kN} (D) 7.2 kN7.2 ~\mathrm{kN}

Solution

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Answered 1 year ago
Answered 1 year ago
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List down the given data.

Given:

  • Scoop width: w=2 mw = 2\ \text{m}
  • Velocity: V=60 msV = 60\ \dfrac{\text{m}}{\text{s}}
  • Thickness of water scooped: t=5 cm=0.05 mt = 5\ \text{cm} = 0.05\ \text{m}
  • Angle: θ=180\theta = 180^{\circ}

Required:

  • Force exerted, FxF_{\text{x}}

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