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kirza4
1 month 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]1 month 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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The element with atomic number 58 is Cerium, meaning its symbol should be Ce rather than Co, which belongs to Cobalt with atomic number 27. Therefore, the notation for isotopes consists of the element's symbol accompanied by a superscript and a subscript, properly aligned. The superscript indicates the mass number.

Mass number = protons + neutrons = 58 + 33 = 91

The subscript denotes the atomic number, which is 58. This notation is illustrated in the attached image.

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1 month ago
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Select all the element(s) from the periodic table shown that will form an ionic compound with a metal M and a nonmetal X and a f
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Response:

Sulfate- SO4^2-

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Clarification:

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1 month ago
Los automóviles actuales tienen “parachoques de 5 mi/h (8 km/h)” diseñados para comprimirse y rebotar elásticamente sin ningún d
KiRa [2933]

Response: k = 23045 N/m

Clarification:

To determine the spring constant, one must consider the maximum elastic potential energy that the spring can withstand. The kinetic energy of the vehicle should equal at minimum the elastic potential energy of the spring when it is fully compressed. Hence, we express it as:

K=U\\\\\frac{1}{2}Mv^2=\frac{1}{2}kx^2    (1)

M: mass of the vehicle = 1050 kg

k: spring constant =?

v: car speed = 8 km/h

x: maximum spring compression = 1.5 cm = 0.015m

You need to resolve equation (1) for k. Beforehand, convert the speed v to meters per second:

v=8\frac{km}{h}*\frac{1000m}{1km}*\frac{1h}{3600s}=2.222\frac{m}{s}

k=\frac{Mv^2}{x^2}=\frac{(1050kg)(2.222m/s)^2}{(0.015m)^2}=23045\frac{N}{m}

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28 days ago
Which of the following statements describe physical properties and which describe chemical properties? (a) Iron has a tendency t
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Answer:

Explanation:

a) Iron has the tendency to undergo rusting -- this is a chemical property as it involves a reaction with water and air.

b) Precipitation in industrialized areas often has an acidic nature -- this is also a chemical property due to its interaction with bases or metals.

c) Hemoglobin is red in color -- this is a physical property since it doesn't entail any chemical reactions.

d) When water is left out in sunlight, it evaporates gradually -- this is a physical property because the process can easily be reversed, classifying it as a physical change.

e) During photosynthesis, plants convert carbon dioxide into more complex molecules -- this demonstrates a chemical property since it involves chemical reactions.

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1 month ago
Which equation represents a spontaneous reaction?
Anarel [2989]

Answer:

D) Mn + Ni2+ ⇒ Mn2+ + Ni

Explanation:

A spontaneous process can occur in a specific direction without requiring any energy input from external sources. Such reactions happen naturally. In these spontaneous processes, the entropy change is positive (ΔS), the enthalpy change is negative (ΔH), and most importantly, ΔG (the change in free energy) is negative.

To identify which reaction is spontaneous, we analyze the electrode potentials of the involved species. The species with a more negative reduction potential can displace the other from its aqueous solution. In this case, since the reduction potential for Mn^2+ is -1.19 V compared to nickel's -0.25 V, manganese will thus naturally displace Ni^2+ from solution as indicated in the solution above.

5 0
25 days ago
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