Astronomers can now report that active star formation was going on at a time when the universe was only 20% as old as it is toda
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Answer:
Explanation:
<u>Capacitance</u>
A two parallel-plate capacitor has a capacitance of
where
A = area of the plates =
d = separation of the plates
We need to compute C. We'll use the circuit parameters for that. The reactance of a capacitor is given by
where w is the angular frequency
Solving for C
The reactance can be found knowing the total impedance of the circuit:
Where R is the resistance, . Solving for Xc
The magnitude of the impedance is computed as the ratio of the rms voltage and rms current
The rms current is the peak current Ip divided by , thus
Now collect formulas
Or, equivalently
The capacitance is now
The radius of the plates is
The separation between the plates is
Answer:
225 N
Explanation:
"Below the horizontal" means he's pushing down at an angle.
Draw a free body diagram of the box. There are three forces: normal force N pushing up, weight force mg pulling down, and the applied force F at an angle θ.
Sum of forces in the y direction:
∑F = ma
N − mg − F sin θ = 0
N = F sin θ + mg
Plug in values:
N = (50 N) (sin 30°) + (20.0 kg) (10 m/s²)
N = 225 N
