Answer:
The energy expected to be released is calculated to be 4182 Joules.
Explanation:
The total mass of coke is 2 kg, which is equivalent to 2000 g
1 calorie per gram corresponds to 4.184 Joules of energy
4.184 J/gC * 2000g results in 8368 J
1 food calorie approximates to 4186 J
By subtracting, we find 8368 - 4186
Hence, the total energy that will be released amounts to 4182 Joules.
Answer:
a. β = 8.23 K
b. β = 28.815 K
Explanation:
The performance of the heat pump can be calculated using the formula
β = TH / (TH - TC)
a.
TH = 15 ° C + 273.15 K = 288.15 K
TC = - 20 ° C + 273.15 K = 253.15 K
β = 288.15 K / (288.15 K - 253.15 K)
β = 8.23 K
b.
TH = 15 ° C + 273.15 K = 288.15 K
TC = 5 ° C + 273.15 K = 278.15 K
β = 288.15 K / (288.15 K - 278.15 K)
β = 28.815 K
Δd = 23 cm. When the eta string of the guitar has nodes at both ends, the resulting waves create a standing wave, which can be expressed with the following formulas: Fundamental: L = ½ λ, 1st harmonic: L = 2 ( λ / 2), 2nd harmonic: L = 3 ( λ / 2), Harmonic n: L = n λ / 2, where n is an integer. The rope's speed can be calculated using the formula v = λ f. This speed remains constant based on the tension and linear density of the rope. Now, let's determine the speed with the provided data: v = 0.69 × 196, yielding v = 135.24 m/s. Next, we will find the wavelengths for the two frequencies: λ₁ = v / f₁, which gives λ₁ = 135.24 / 233.08, equaling λ₁ = 0.58022 m; λ₂ = v / f₂ results in λ₂ = 135.24 / 246.94, consequently λ₂ = 0.54766 m. We'll substitute into the resonance equation Lₙ = n λ/2. At the third fret, m = 3, therefore L₃ = 3 × 0.58022 / 2, resulting in L₃ = 0.87033 m. For the fourth fret, m = 4, which gives L₄ = 4 × 0.54766 / 2, equating to L₄ = 1.09532 m. The distance between the two frets is Δd = L₄ – L₃, so Δd = 1.09532 - 0.87033, leading to Δd = 0.22499 m or 22.5 cm, rounded to 23 cm.
Response:
A protractor to gauge the angle between the inclined plane and the horizontal
Explanation:
The student must elevate the free end of the adjustable inclined plane until the object just begins to slide and record the angle at that precise moment. At this juncture, the frictional force is balanced by the weight component aligned with the incline. That is:
and 
Consequently, the coefficient of static friction can be entirely established by calculating the tangent of the angle formed by the incline with the horizontal.
For this, the sole additional tool needed is a protractor for angle measurement.
The following values have been provided:
weight w = 240 lb = 1,067.52 N
energy E = 3,000 J
The equation for potential energy is:
E = w h
where h indicates the height that the person needs to ascend, therefore:
h = 3000 / 1067.52
h = 2.81 m
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<span>Thus, he must ascend 2.81 meters</span>
