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Andreyy89
3 years ago
9

For the energy function V (x) = cos(x) for –[infinity] ≤x≤ +[infinity], find the values x=xsthat identify stable equilibria, and

the values x = xuthat identify unstable equilibria.
Physics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

look it up

Explanation:

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The rate at which a metal alloy oxidizes in an oxygen-containing atmosphere is a typical example of the practical utility of the
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Answer:

The activation energy is  Q = 328.31 \ K J/mol

Explanation:

From the question we are told that

      The rate constant is  k

       at the temperature T_1  = 300 =  300 + 273 =  573 \ K

      The value of k is  k_1 = 1.05 *10^{-8} \  kg /m^4 \cdot s

      at temperature T_2 = 400 ^oC =  400 + 273 =  673 \ K

       The value of  k is  k_2 = 2.95 *10^{-4} \ kg /m^4 \cdot s

The rate constant is mathematically represented as

       k  =  Ce^{- \frac{Q}{RT} }

Where Q is the activation energy

         R is the ideal gas constant with a value of  R =  8.314 \ J /mol \cdot K

          C is a constant

           T is the temperature

For the first  rate constant

       k_1 = Ce ^{-\frac{Q}{RT_1} }

For the second   rate constant

       k_2 = Ce ^{-\frac{Q}{RT_2} }

Now the ratio between the two given rate constant is  

      \frac{k_1 }{k_2}  =  e^{(\frac{Q}{R} [\frac{1}{\frac{T_2 - 1}{T_1} } ] )}

  =>    ln [\frac{k_1}{k_2} ] =  \frac{Q}{R}  * [\frac{1}{\frac{T_2 -1}{T_1} } ]

substituting values  

       ln [\frac{1.05 *10^{-8}}{2.95 *10^{-4}} ] =  \frac{Q}{8.314}  * [\frac{1}{\frac{673 -1}{573} } ]

=>     Q = 328.31 \ K J/mol

7 0
3 years ago
A cardinal (Richmondena cardinalis) of mass 3.70×10−2 kg and a baseball of mass 0.144 kg have the same kinetic energy. What is t
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Answer:

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Explanation:

Since the cardinal and ball have the same kinetic energy, it is possible to determine the ratio between speeds. (c for cardinal, b for baseball)

K_{c} = K_{b}

\frac{1}{2}\cdot m_{c}\cdot v_{c}^{2}= \frac{1}{2}\cdot m_{b}\cdot v_{b}^{2}

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The ratio is obtained by multiplying each side by \frac{m_{c}}{m_{b}}:

\frac{p_{c}}{p_{b}}=\frac{m_{c}}{m_{b}}\cdot \sqrt{\frac{m_{b}}{m_{c}} }

\frac{p_{c}}{p_{b}}= \sqrt{\frac{m_{c}}{m_{b}} }

The value of this ratio is:

\frac{p_{c}}{p_{b}}\approx 0.507

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