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Question

# A large vehicle in Fig. is slowed by lowering a $\textrm{2-m}$-wide scoop into a reservoir of water. Estimate the force exerted on the scoop if the vehicle is traveling at $60 \mathrm{~m} / \mathrm{s}$ and it scoops off $5 \mathrm{~cm}$ of water? The scoop diverts the water through $180^{\circ}$. (A) $720~\mathrm{kN}$ (B) $360 ~\mathrm{kN}$ (C) $12 ~\mathrm{kN}$ (D) $7.2 ~\mathrm{kN}$

Solution

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Step 1
1 of 5

List down the given data.

Given:

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

Required:

• Force exerted, $F_{\text{x}}$

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