Distinguish between the key features of Charles's Law and
1 answer:
Answer:
The answer is below
Explanation:
Charles law states that the volume and temperature of a fixed amount of a gas is directly proportional to each other provided that pressure is held constant.
Boyle's law states that the volume and pressure of a fixed amount of a gas are inversely proportional to each other provided that temperature is held constant.
a) Constant property:
In Charles law, pressure is kept constant while in Boyle's law, temperature is held constant.
b) Varying properties:
In Charles law, volume and temperature are varying while in Boyle's law, pressure and volume are varying.
c) Type of variance:
In Charles law we have a direct variance while in Boyle's law we have an indirect variance.
d) Charles law is given as:
Boyle's law is given as:
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Answer:
2.30 m /sec2
Explanation:
See the attached file;
1) The forces are equal (Newton's third law of motion)
2) The force between the spheres will quadruple
3) The force of gravity exerted by the notebook on you is negligible
Explanation:
1)
In this part of the problem, we want to compare the gravitational force exerted by the larger mass sphere on the smaller mass sphere to the force exerted by the smaller mass sphere to the larger mass sphere.
We can do this by using Newton's third law of motion, which states that:
<em>"When an object A exerts a force (called </em><em>action</em><em>) on an object B, then object B exerts an equal and opposite force (called </em><em>reaction</em><em>) on object A"</em>
In this problem, we can identify the larger mass sphere as object A and the smaller mass sphere as object B. This law tells us that the two forces are equal in magnitude and opposite in direction: therefore, the gravitational force exerted by the larger mass sphere on the smaller mass sphere is equal to the force exerted by the smaller mass sphere to the larger mass sphere.
2)
The magnitude of the gravitational force between the two spheres is given by
where
G is the gravitational constant
are the masses of the two spheres
r is the separation between the two spheres
In this problem, we are asked to find what happens when the distance between the spheres is halved, therefore when the new distance is
Substituting into the equation, we find
So, the force between the two spheres will quadruple.
3)
We can give an estimate for the gravitational force exerted by your notebook on you.
As we said, the magnitude of the gravitational force is
Where:
is the gravitational constant
Let's estimate the following:
is your mass
is the mass of the notebook
, assuming the notebook is at 1 metre from you
Substituting,
We see that this force has an extremely small value: therefore, it is almost negligible in daily life, where other much stronger forces act on you.
Learn more about gravity:
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