Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a safety belt can withstand an acceleration of 300 m/s/s. How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?

Respuesta :

The thickness is mathematically given as

d= 0.7597m

How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?

Torricelli's law is a thesis that can be found in the discipline of fluid dynamics. It states that the rate at which fluid is ejected from an orifice is related to the height of fluid that is present above the opening. Torricelli's theorem is another name for this concept.

Generally, the equation for is Torricelli's equation  mathematically given as

The stopping acceleration is given by a=-300ms^2

The initial speed is[tex]$v_0=76.86 \mathrm{~km} / \mathrm{h} \approx 21.35 \mathrm{~m} / \mathrm{s}$.[/tex]

We can use Torricelli's equation to find the safe stopping distance $d$. We have

[tex]d=\frac{(21.35 \mathrm{~m} / \mathrm{s})^2}{2\left(300 \mathrm{~m} / \mathrm{s}^2\right)}[/tex]

d= 0.7597m

In conclusion, The thickness is mathematically given as

d= 0.7597m

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