Part a)
As we know that energy stored inside the capacitor is given as

for a given capacitor we know

Now we can use it in above equation to find the energy



PART b)
If two negative charges are hold near to each other and then released
Then due to mutual repulsion they start moving away from each other
Due to mutual repulsion as the two charges moving away the electrostatic potential energy of two charges will convert into kinetic energy of the two charges.
So here as they move apart kinetic energy will increase while potential energy will decrease
Part c)
As we know that capacitance is given as

here we know that




Answer:
F = -8440.12 N
the magnitude of the average force needed to hold onto the child is 8440.12 N
Explanation:
Given;
Mass of child m = 16 kg
Speed of each car v = 59.0 mi/h = 26.37536 m/s
Time t = 0.05s
Applying the impulse momentum equation;
Impulse = change in momentum
Ft = ∆(mv)
F = ∆(mv)/t
F = m(∆v)/t
Where;
F = force
t = time
m = mass
v = velocity
Since the final speed of the car is zero(at rest) then;
∆v = 0 - v = -26.37536 m/s
Substituting the given values;
F = 16×-26.37536/0.05
F = -8440.1152 N
F = -8440.12 N
the magnitude of the average force needed to hold onto the child is 8440.12 N
Objects repel and attract because of a thing called electrostatic attraction. When objects have the same charge (positive or negative), then they will repel, and if they have opposite charges then they will attract
<h3><u>Answer;</u></h3>
Frequency
<h3><u>Explanation;</u></h3>
- <em><u>Waves are disturbances that travel through a material medium. There are several characteristics of waves, which includes; wavelength, frequency, period and amplitude. </u></em>
- Amplitude is the maximum displacement of wave particles, or simply the height of the wave, measured in meters.
- Wavelength is the distance between adjacent crests or troughs in a transverse wave or between two successive rarefaction or compressions in a longitudinal wave, measured in meters.
- Period is the time it takes for one complete wave to pass a given point, measured in seconds.
- <em><u>Frequency is the number of complete waves or cycles that pass a point in one second, measured is inverse seconds, or Hertz (Hz).</u></em>
Answer:
The displacement in t = 0,
y (0) = - 0.18 m
Explanation:
Given f = 40 Hz , A = 0.25m , μ = 0.02 kg / m, T = 20.48 N
v = √ T / μ
v = √20.48 N / 0.02 kg /m = 32 m/s
λ = v / f
λ = 32 m/s / 40 Hz = 0.8
K = 2 π / λ
K = 2π / 0.8 = 7.854
φ = X * 360 / λ
φ = 0.5 * 360 / 0.8 = 225 °
Using the model of y' displacement
y (t) = A* sin ( w * t - φ )
When t = 0
y (0) = 0.25 m *sin ( w*(0) - 225 )
y (0) = 0.25 * -0.707
y (0) = - 0.18 m