Answer:
E = 1.25×10¹³ N/m²
Explanation:
Young's modulus is defined as:
E = stress / strain
E = (F / A) / (dL / L)
E = (F L) / (A dL)
Given:
F = 10 kg × 9.8 m/s² = 98 N
L = 1 m
dL = 10⁻⁵ m
A = π/4 (0.001 m)² = 7.85×10⁻⁷ m²
Solve:
E = (98 N × 1 m) / (7.85×10⁻⁷ m² × 10⁻⁵ m)
E = 1.25×10¹³ N/m²
Round as needed.
The easiest way to work this out is to think of the amount of decay as a percentage. so in 12 years its down to 50% another 12 years its down to 25%, another 12 years its 11.5 %.
<span>for a 20 gram sample to decay by half will still be 12 years no matter how many grams one has.</span>
Answer:
![4.0932672025\times 10^{-17}](https://tex.z-dn.net/?f=4.0932672025%5Ctimes%2010%5E%7B-17%7D)
Explanation:
= Activation energy = 160 kJ
T = Temperature = 510 K
R = Universal gas constant = 8.314 J/mol K
The fraction of energy is given by
![f=e^{-\dfrac{E_a}{RT}}\\\Rightarrow f=e^{-\dfrac{160000}{8.314\times 510}}\\\Rightarrow f=4.0932672025\times 10^{-17}](https://tex.z-dn.net/?f=f%3De%5E%7B-%5Cdfrac%7BE_a%7D%7BRT%7D%7D%5C%5C%5CRightarrow%20f%3De%5E%7B-%5Cdfrac%7B160000%7D%7B8.314%5Ctimes%20510%7D%7D%5C%5C%5CRightarrow%20f%3D4.0932672025%5Ctimes%2010%5E%7B-17%7D)
The fraction of energy is ![4.0932672025\times 10^{-17}](https://tex.z-dn.net/?f=4.0932672025%5Ctimes%2010%5E%7B-17%7D)
The answer is A. locations by the ocean typically do not get as cold in the winter or as hot in the summer as locations that are located inland.