How do the energy differences between the higher energy levels of an atom compare with the energy differences between the lower
2 answers:
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Answer:
The solid sphere will reach the bottom first.
Explanation:
In order to develop this problem and give it a correct solution, it is necessary to collect the concepts related to energy conservation. To apply this concept, we first highlight the importance of conserving energy so we will match the final and initial energies. Once this value has been obtained, we will concentrate on finding the speed, and solving what is related to the Inertia.
In this way we know that,
We know as well that the lineal and angular energy are given by,
And the tangential kinetic energy as
Where
Replacing
Re-arrange for v,
We have here three different objects: solid cylinder, hollow pipe and solid sphere. We need the moment inertia of this objects and replace in the previous equation found, then,
For hollow pipe:
For solid cylinder:
For solid sphere,
Then comparing the speed of the three objects we have:
1) The mass of the continent is
2) The kinetic energy of the continent is 624 J
3) The speed of the jogger must be 4 m/s
Explanation:
1)
We start by finding the volume of the continent. We have:
is the side
is the depth
So the volume is
We also know that its density is
Therefore, we can find the mass by multiplying volume by density:
2)
The kinetic energy of the continent is given by:
where
is its mass
v = 3.2 cm/year is the speed
We have to convert the speed into m/s. We have:
3.2 cm = 0.032 m
So, the speed is:
So, we can now find the kinetic energy:
3)
Here we have a jogger of mass
m = 78 kg
And the jogger has the same kinetic energy of the continent, so
K = 624 J
The kinetic energy of the jogger is given by
where v is the speed of the jogger.
Solving for v, we find the speed that the jogger must have:
Learn more about kinetic energy:
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