A plane that is moving 200 m/s drops a package. The package takes 15 seconds to reach the ground.
1 answer:
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Answer:
A) increase.
Explanation:
- By definition, the capacitance of a capacitor, is the charge on one of the plates, divided by the potential difference between them, as follows:
- At the same time, we can show (applying Gauss' Law to the surface of one of the plates), that the capacitance of a parallel-plate capacitor (with a dielectric of air), can be written as follows:
C = ε₀*A / d (2)
- If the space between plates, is filled with a dielectric of dielectric constant κ, the above equation becomes:
- If the capacitor, once charged, is disconnected from the battery, charge must keep the same.
- Now, if we remove the dielectric, as stated in (3) and (2), the capacitance C will decrease when removing the dielectric.
- From (1) if C decreases, and Q remains constant, in order to keep both sides of the equation equal each other, V (the potential difference between plates), must increase.
The distance covered by the proton is 48.4 m
Explanation:
The electric field produced by an electrically charged infinite plane is given by
where in this case,
is the surface charge density
is the vacuum permittivity
Substituting,
And the direction is towards the plane (because the charge is negative).
The electric force on the proton due to this field is
where
is the proton charge
Substituting,
where the direction is toward the plane.
Now we can calculate the proton's acceleration using Newton's second law:
where
is the proton mass
Substituting,
Now we can finally apply the following suvat equation for accelerated motion to find the distance travelled by the proton:
where
v = 0 is the final velocity
is the initial velocity
a is the acceleration
s is the distance covered
And solving for s,
Therefore, the closest answer is 48.4 m.
Learn more about accelerated motion:
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