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kirza4
4 months ago
5

In a car crash, large accelerations of the head can lead to severe injuries or even death. A driver can probably survive an acce

leration of 50g that lasts for less than 30 ms, but in a crash with a 50g acceleration lasting longer than 30 ms, a driver is unlikely to survive. Imagine a collision in which a driver's head experienced a 50g accelerationWhat is the highest speed that the car could have had such that the driver survived? Express your answer with the appropriate units.
Chemistry
1 answer:
KiRa [2.9K]4 months ago
8 0

Answer:

Initial velocity, u = 14.7 m/s

Explanation:

It is noted that a driver may endure an acceleration of 50 g for a duration of less than 30 ms, but during a crash where the 50 g acceleration persists beyond 30 ms, survival becomes improbable for the driver.

Let v represent the maximum speed attainable by the car that would allow the driver to survive. We apply a = -50 g and t = 30 ms.

Utilizing the first kinematic equation as follows:

v=u+at

In the case of a crash, the driver's final speed is v = 0

0=u+at

-u=at

-u=-50\times 9.8\times 30\times 10^{-3}

The initial velocity, u = 14.7 m/s

Therefore, the maximum speed the vehicle could reach to ensure the driver's survival is 14.7 m/s, marking this as the solution.

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Valproic acid, used to treat seizures and bipolar disorder, is composed of C, H, and O. A 0.165-g sample is combusted to produce
VMariaS [2998]

Answer:

The empirical formula is = C_4H_8O

The Valproic acid formula is = C_8H_{16}O_2

Explanation:

Mass of the produced water = 0.166 g

Molar mass of water = 18 g/mol

The moles of H_2O are calculated as 0.166 g /18 g/mol = 0.00922 moles.

In 1 mole of water, there are 2 moles of hydrogen atoms.

Thus,

Moles of H = 2 x 0.00922 = 0.01844 moles

Each hydrogen atom's molar mass is 1.008 g/mol.

Hydrogen mass in the molecule = 0.01844 x 1.008 = 0.018588 g

Mass of produced carbon dioxide = 0.403 g

Molar mass of carbon dioxide = 44.01 g/mol

The moles of CO_2 are calculated as 0.403 g  /44.01 g/mol = 0.009157 moles.

Each carbon atom's presence is 1 mole in 1 mole of carbon dioxide.

So,

Moles of C = 0.009157 moles

The molar mass of carbon is 12.0107 g/mol.

Carbon mass in molecule = 0.009157 x 12.0107 = 0.11 g

Since Valproic acid comprises only hydrogen, oxygen, and carbon, the oxygen mass in the sample = Total mass - Carbon mass  - Hydrogen mass.

The sample's overall mass = 0.165 g.

Oxygen mass in the sample = 0.165 - 0.11 - 0.018588 = 0.036412 g  

The molar mass of oxygen is 15.999 g/mol.

Moles of O  = 0.036412  / 15.999  = 0.002276 moles

Taking the simplest ratio for H, O, and C yields:

0.01844: 0.002276: 0.009157

= 8: 1: 4

The empirical formula becomes C_4H_8O

While molecular formulas detail the precise count of atoms for each element, empirical formulas represent the simplest form or reduced ratio of these elements in the compound.

Consequently,  

The molecular mass equals n × Empirical mass.

Here, n is a positive integer from 1, 2, 3...

Empirical mass = 4×12 + 8×1 + 16 = 72 g/mol.

Molar mass = 144 g/mol.

Thus,  

The molecular mass = n × Empirical mass.

144 = n × 72

⇒ n = 2

The Valproic acid formula is = C_8H_{16}O_2

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An atom has four electrons in its valence shell. What types of covalent bonds is it capable of forming?
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3 months ago
What is the molarity of a solution that contains 2.35 g of nh3 in 0.0500 l of solution?
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2 months ago
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