Frequently in physics, one makes simplifying approximations. A common one in electricity is the notion of infinite charged sheet
s. This approximation is useful when a problem deals with points whose distance from a finite charged sheet is small compared to the size of the sheet. In this problem, you will look at the electric field from two finite sheets and compare it to the results for infinite sheets to get a better idea of when this approximation is valid. What is the magnitude E of the electric field at the point on thex axis with x coordinate a/2?
1 answer:
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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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