Answer:
a) ΔV₁ = 21.9 V, b) U₀ = 99.2 10⁻¹² J, c) U_f = 249.9 10⁻¹² J, d) W = 150 10⁻¹² J
Explanation:
Let's find the capacitance of the capacitor
C =
C = 8.85 10⁻¹² (8.00 10⁻⁴) /2.70 10⁻³
C = 2.62 10⁻¹² F
for the initial data let's look for the accumulated charge on the plates
C =
Q₀ = C ΔV
Q₀ = 2.62 10⁻¹² 8.70
Q₀ = 22.8 10⁻¹² C
a) we look for the capacity for the new distance
C₁ = 8.85 10⁻¹² (8.00 10⁻⁴) /6⁴.80 10⁻³
C₁ = 1.04 10⁻¹² F
C₁ = Q₀ / ΔV₁
ΔV₁ = Q₀ / C₁
ΔV₁ = 22.8 10⁻¹² /1.04 10⁻¹²
ΔV₁ = 21.9 V
b) initial stored energy
U₀ =
U₀ = (22.8 10⁻¹²)²/(2 2.62 10⁻¹²)
U₀ = 99.2 10⁻¹² J
c) final stored energy
U_f = (22.8 10⁻¹²) ² /(2 1.04 10⁻⁻¹²)
U_f = 249.9 10⁻¹² J
d) the work of separating the plates
as energy is conserved work must be equal to energy change
W = U_f - U₀
W = (249.2 - 99.2) 10⁻¹²
W = 150 10⁻¹² J
note that as the energy increases the work must be supplied to the system
<span>I of disk = 1/2MR² = (0.5)(230)(4.0)² = 1840 kgm²
I of disk-woman system = I = 1/2MR² + md² = (50)(4.0)² = 1840 + 800 = 2640 kgm²
L = Iw = (2640)(0.80)(2π) = 13,270 ≈ = 13,000 kgm²/s ANS
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Answer:
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The speed of sound at <span>0°C is approximately v=331.2 m/s. The frequency of the sound wave is f=990 Hz. To find the wavelength of the wave, we can use the basic relationship between frequency, wavelength and speed of a wave:
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<span>where </span>
is the wavelength. If we use the data of the problem, we find
Answer:
Shearing stress is a force that causes layers or parts to slide upon each other in opposite directions. An example of shearing stress is the force of two connecting rocks rubbing in opposite directions.
Explanation:
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