Answer and Explanation:
Data provided in the question
Carbon mass = m
Initial speed = v_i
Coefficient = μk
Based on the above information, the expressions are as follows
a. By using the energy considerations the expression for the carton moving distance is
As we know that
![Fd = \frac{1}{2} m (v_i^2- v_f^2)](https://tex.z-dn.net/?f=Fd%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20m%20%28v_i%5E2-%20v_f%5E2%29)
where,
![v_f = 0](https://tex.z-dn.net/?f=v_f%20%3D%200)
![F = u_kmg](https://tex.z-dn.net/?f=F%20%3D%20u_kmg)
![(\mu_kg) d = \frac{1}{2} m v_i^2](https://tex.z-dn.net/?f=%28%5Cmu_kg%29%20d%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20m%20v_i%5E2)
![d = \frac{\frac{1}{2}v_i^2}{\mu_kg}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7Dv_i%5E2%7D%7B%5Cmu_kg%7D)
![d = \frac{v_i^2}{2 \mu_kg}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7Bv_i%5E2%7D%7B2%20%5Cmu_kg%7D)
b. The initial speed of the carton if the factor of 3 risen, so the expression is
![v_i^1 = 3v_i](https://tex.z-dn.net/?f=v_i%5E1%20%3D%203v_i)
![d^i = \frac{(3v_i^2)}{2\mu_kg}](https://tex.z-dn.net/?f=d%5Ei%20%3D%20%5Cfrac%7B%283v_i%5E2%29%7D%7B2%5Cmu_kg%7D)
![= \frac{9v_i^2}{2\mu_kg}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B9v_i%5E2%7D%7B2%5Cmu_kg%7D)
![d^i = 9(d)](https://tex.z-dn.net/?f=d%5Ei%20%3D%209%28d%29)
The correct answer to the question is : ![100\ ^0C](https://tex.z-dn.net/?f=100%5C%20%5E0C)
EXPLANATION :
As per the question, the specific heat of gold is given as c = ![0.130\ J/g^0C](https://tex.z-dn.net/?f=0.130%5C%20J%2Fg%5E0C)
The heat given to the gold dQ = 195 J
The mass of the gold is given as m = 15 gram.
We are asked to calculate the change in temperature.
Let the change in temperature is dT.
We know that dQ = mcdT
![dT=\ \frac{dQ}{mc}](https://tex.z-dn.net/?f=dT%3D%5C%20%5Cfrac%7BdQ%7D%7Bmc%7D)
[ANS]
Hence, the change in temperature is 100 degree celsius.
The decrease in energy in the hydrogen molecule is what allows its formation on Earth, but in stars the great energy of the explosion has a kinetic energy so great that electrons cannot bind to another atom, which is why hydrogen has a single atom.
The hydrogen molecule is a form that two hydrogen atoms share their electrons decreasing the total energy of the molecule, this bond has a covalent and hydrogen bonding characteristic.
In a stellar explosion, the energy released increases the energy of the hydrogen atom, for which we have two possibilities:
- Its electron is lost, so we are in a single proton, in the case of structures where the proton and the elector are
- The hydrogen atom remains but the energy of the atom is very high so the kinetic energy of the electron prevents the electron from being shared by the other atom and the molecule cannot be formed.
When the atoms are thrown into space, the separation between them is so high that it does not allow electrons to be shared and molecules cannot be formed either.
In conclusion, the decrease in energy in the hydrogen molecule is what allows its formation on Earth, but in stars the great energy of the explosion has a kinetic energy so great that electrons cannot join another atom, which is why the hydrogen has only one atom.
Learn more about the Hydrogen atom here:
brainly.com/question/22464200
The molarity remains the same so the ratio does not change