Answer:
5.76 cm³
Explanation:
Using the equation for volume expansivity,
V = V₀ + V₀γΔθ) where V₀ = volume of cube = volume of mercury = 400 cm³, γ = cubic expansivity of mercury = 18 × 10⁻⁵ /K and Δθ temperature change = θ₂ - θ₁ where θ₁ = 0 °C and θ₂ = 80°C. So, Δθ = 80°C - 0°C = 80°C = 80 K
Now, the volume change, ΔV = V - V₀ = V₀γΔθ.
So, substituting the values of the variables into the equation, we have
ΔV = V₀γΔθ
= 400 cm³ × 18 × 10⁻⁵ /K × 80 K
= 5.76 cm³
So the mercury will overflow by 5.76 cm³.
An older part of our nervous system, the autonomic, manages the continuous tuning of the pupil size.
The distance between the glass to have the given heat loss is 2.54 m.
The given parameters:
- <em>dimension of the window, = 60 cm by 90 cm</em>
- <em>temperature, T = 24 K</em>
- <em>heat lost, Q = 4.09 W</em>
- <em>thermal conductivity of glass, k = 0.8 W/mK</em>
The area of the glass window is calculated as follows;
The distance between the glass is calculated as follows;
Thus, the distance between the glass to have the given heat loss is 2.54 m.
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Answer:
9.5 km/h
Explanation:
Let v₁ and v₂ be the rates of the cars.
Given that v₂ = v₁ - 20
The first car travels a distance v₁t in t = 5 hrs and the second car travels a distance of v₂t in t = 5 hrs. The total distance between them is 850 km.
So v₁t + v₂t = 850
v₁t + (v₁ - 20)t = 850
v₁t + v₁t - 20t = 850
2v₁t - 20t = 850 at t = 5 hrs
2v₁ × 5 - 20 × 5 = 850
10v₁ - 100 = 850
10v₁ = 850 + 100
10v₁ = 950
v₁ = 950/10 = 9.5 km/h
v₂ = v₁ - 20 = 9.5 - 20 = -10.5 m/s
Since magnitude of v₁ < v₂
The rate of the slower car is 9.5 km/h