Answer:
Explanation:
<em>Assuming the triangle is a right triangle,</em>
the magnitude of R can be found using the Pythagorean theorem,
R = sqrt(9.7^2+6^2) = 11.41 m
The angle can be found by arctangent, which is
angle = atan(9.7/6) = 58.26 degrees.
Answer:
Will be doubled.
Explanation:
For a capacitor of parallel plates of area A, separated by a distance d, such that the charges in the plates are Q and -Q, the capacitance is written as:

where e₀ is a constant, the electric permittivity.
Now we can isolate V, the potential difference between the plates as:

Now, notice that the separation between the plates is in the numerator.
Thus, if we double the distance we will get a new potential difference V', such that:

So, if we double the distance between the plates, the potential difference will also be doubled.
Answer:
2.84 m/s
Explanation:
At the top position of the circular trajectory, the normal reaction is zero:
N = 0
So it means that the only force that is providing the centripetal force is the gravitational force (the weight of the bucket). Therefore we have:

where
m is the mass of the water bucket
g = 9.8 m/s^2 is the acceleration of gravity
v is the speed of the bucket
r = 0.824 m is the radius of the circle
Solving for v,

C. thalamus
All sensory information coming into the brain from the body must first pass thru the thalamus