The property that distinguishes the potential energy from kinetic energy are the shape and position of the object, letter C. Potential energy is directly proportional with mass times gravity times the height of the object at rest. On the other hand, kinetic energy is directly proportional with half of the square of the velocity times the mass of the object in motion.
1) 12 cm
2) 3 N
Explanation:
1)
The relationship between force and elongation in a spring is given by Hooke's law:
where
F is the force applied
k is the spring constant
x is the elongation
For the spring in this problem, at the beginning we have:
So the spring constant is
Later, the force is tripled, so the new force is
Therefore, the new elongation is
2)
In this second problem, we know that the elongation of the spring now is
From part a), we know that the spring constant is
Therefore, we can use the following equation to find the force:
And substituting k and x, we find:
So, the force to produce an elongation of 6 cm must be 3 N.
The ideas of John Locke and Isaac Newton had a profound influence on Enlightenment intellectuals by shaping their understanding of human nature, society, and the natural world.
Here are some key ways in which Locke's and Newton's ideas influenced Enlightenment thinkers:
1) Empiricism and Tabula Rasa: John Locke's philosophy emphasized empiricism and the concept of the mind as a "tabula rasa" or blank slate. He argued that individuals acquire knowledge through sensory experience and that the mind is not innately filled with ideas.
2) Natural Rights and Social Contract: Locke's ideas on natural rights and the social contract had a significant impact on Enlightenment thinkers. Locke argued that individuals possess certain inherent rights, including life, liberty, and property, which should be protected by a government.
3) Scientific Method and Universal Laws: Isaac Newton's discoveries in physics, particularly his formulation of the laws of motion and universal gravitation, provided a model for the application of reason and the scientific method. Newton's work demonstrated the power of observation, experimentation, and mathematical analysis in understanding the natural world.
4) Enlightenment Optimism and Progress: Both Locke and Newton fostered a sense of optimism and belief in human progress. Locke's emphasis on reason, education, and the perfectibility of individuals influenced Enlightenment thinkers in their pursuit of knowledge and social improvement.
Overall, Locke's emphasis on individual rights, reason, and social contract, combined with Newton's scientific discoveries and methodological rigor, provided Enlightenment intellectuals with a framework for challenging traditional authority, promoting individual freedoms, and pursuing rational explanations for human behavior and societal organization.
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Answer:
13 billion years old
Explanation:
Big ban theory is the theory that explains the things occurred at the origin our our universe. It explains the movement of the galaxies It also tells us the age of our universe. According to this theory, our universe is 13 billion years old. The temperature of our universe was about 5.5 billion Celsius at the start of the universe.
13 billion years old
V = Volume of sample of gas = 1.00 L = 0.001 m³
T = temperature of the gas = 25.0 ⁰C = 25 + 273 = 298 K
P = pressure = 1.00 atm = 101325 Pa
n = number of moles of gas
using ideal gas equation
PV = n RT
101325 (0.001) = n (8.314) (298)
n = 0.041
n₁ = number of moles of helium
n₂ = number of moles of neon
m₁ = mass of helium = n₁ (4) = 4 n₁
m₂ = mass of neon = n₂ (20.2) = 20.2 n₂
given that :
m₁ = m₂
4 n₁ = 20.2 n₂
n₁ = 5.05 n₂
also
n₁ + n₂ = n
5.05 n₂ + n₂ = 0.041
n₂ = 0.0068
mole fraction of neon is given as
mole fraction = n₂ /n = 0.0068/0.041 = 0.166
P₂ = partial pressure of neon = (mole fraction) P
P₂ = (0.166) (1)
P₂ = 0.166 atm
The partial pressure of the neon is 0.16 atm.
A 1.00 l sample of a gas at 25.0◦c and 1.00 atm contains 50.0 % helium and 50.0 % neon by mass. what is the partial pressure of the neon. express your answer in atmospheres.
The partial pressure is the notional pressure of constituent gas if it is occupied alone by the entire volume of the original mixture at the same temperature.
50.0 % helium and 50.0 % neon by mass.
Mass of the gases =
By using ideal gas equation we get:
where total number of moles of gases
Then we can find the mass and mole of gases
The gas molar volume is the volume of one mole of the gas at a given temperature and pressure.
Mass of helium gas =
Moles of helium gas
Mass of neon gas
Moles of neon gas
Partial pressure of the neon gas:
Therefore the partial pressure of the neon gas is 0.16 atm.
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Describe two things they have in common and two ways in which they differ. X