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-BARSIC- [3]
3 years ago
13

Linda has a cup of coffee sitting in the cup holder in her car. She has to suddenly slam on her brakes and stop. The cup remaine

d in the cup holder, but the coffee splashed and spilled everywhere. Newton's _____ law can best describe why this happened.
Physics
1 answer:
wolverine [178]3 years ago
8 0
<h3>Answer:</h3><h2>The Newton's first law of motion will be applied in this situation.</h2>
<h3>Explanation:</h3>

As mention in the question, the car was moving then every object inside the car was also in the motion state with the same velocity as the car had. when the brake applied on the car, the brake only stopped the motion of the car than the objects inside it. According to the first law of motion, due to inertia, the body keeps its state intact until an external force applies to change its state. Because of inertia, the coffee inside the cup was in moving state with the car. When brake applied the coffee spilled out of the car to maintain its state and spread all around. If the cup would keep out of the cup holder, It will move also forward on the applied brake.

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The Bermoulli's  equation allows us to find the pressure in the narrow part of the pipe through which water circulates is:

             P = 500 Pa

Bernoulli's equation is the work-energy relationship for fluids that are liquids and gases.

           P_1 + \frac{1}{2} \rho v_1^2 + \rho g y_1 = P2 +  \frac{1}{2} \rho v_2^2 + \rho g y_2

Where the subscripts 1 and 2 represent points of interest, P is the pressure, ρ the density of the fluid, v the velocity and y the height.

They indicate that the pipe is horizontal, that the pressure in the wide part P₁ = 200 kPa and the velocity is v₁ = 5 m / s and in the narrow part v₂=8.00 m/s, see attached.

Since the pipe is horizontal y₁ = y₂

           P₁ + ½ ρ v₁² = P₂ + ½ ρ v₂²

           P₂ = P₁ + ½ ρ (v₁² - v₂²)

Let's calculate

          P₂ = 200 10² + ½ ρ (5² - 8²)

          P₂ = 2 10⁴ - 19.5 ρ

For a specific calculation the value of the density of the fluid is needed, suppose that the fluid is water ρ = 1000 kg / m³

           P₂ = 2 10² - 19.5 1000

           P₂ = 500 Pa

In conclusion using the Bermoulli equation we can find the pressure in the narrow part of the pipe through which water circulates is:  

             P = 500 Pa

Learn more here: brainly.com/question/9506577

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