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Fundamentals of Fluid Mechanics | 8th Edition | ISBN: 9781119080701 | Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
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The cart shown in Fig. P2.156 measures 10.0 cm long and6.0 cm high and has rectangular

Chapter 2, Problem 2.156

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QUESTION:

The cart shown in Fig. P2.156 measures 10.0 cm long and6.0 cm high and has rectangular cross sections. It is half-filled withwater and accelerates down a 20 incline plane at a = 1.0 m/s2. Findthe height h.

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QUESTION:

The cart shown in Fig. P2.156 measures 10.0 cm long and6.0 cm high and has rectangular cross sections. It is half-filled withwater and accelerates down a 20 incline plane at a = 1.0 m/s2. Findthe height h.

ANSWER:


The height can be calculated using the equation: h = ((a×t2)/2) + (vo × t) + yo, where a is the acceleration, t is the time it takes for the cart to travel down the incline, vo is the initial velocity, and yo is the initial height.

For this problem, we know that the acceleration is 1.0 m/s2, the incline is 20°, and the initial velocity is 0 m/s. Since t

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