Answer:
100 cm³
Explanation:
Use ideal gas law:
PV = nRT
where P is absolute pressure, V is volume, n is number of moles, R is ideal gas constant, and T is absolute temperature.
n and R are constant, so:
P₁V₁/T₁ = P₂V₂/T₂
If we say point 1 is at 40m depth and point 2 is at the surface:
P₂ = 1.013×10⁵ Pa
T₂ = 20°C + 273.15 = 293.15 K
P₁ = ρgh + P₂
P₁ = (1000 kg/m³ × 9.8 m/s² × 40 m) + 1.013×10⁵ Pa
P₁ = 4.933×10⁵ Pa
T₁ = 4.0°C + 273.15 = 277.15 K
V₁ = 20 cm³
Plugging in:
(4.933×10⁵ Pa) (20 cm³) / (277.15 K) = (1.013×10⁵ Pa) V₂ / (293.15 K)
V₂ = 103 cm³
Rounding to 1 sig-fig, the bubble's volume at the surface is 100 cm³.
Answer:
39.375 A
Explanation:
To find the induced current, we use the relation
e = -ΔΦ/Δt, where
ΔΦ = change in magnetic flux of the bracelet
Δt = change in time, = 20 ms
Also, Φ = A.ΔB, such that
A = area of the bracelet, 0.005m²
ΔB = magnetic field strength of the bracelet = 1.35 - 4.5 = -3.15 T
ΔΦ = A.ΔB
ΔΦ = 0.005 * -3.15
ΔΦ = -.01575 wb
e = -ΔΦ/Δt
e = -0.01575 / 20*10^-3
e = 0.7875 V
From the question, the resistance of the bracelet is 0.02 ohm, so
From Ohms Law, I = V/R
I = 0.7875 / 0.02
I = 39.375 A
Answer:
85.14 m
Explanation:
Let g = 9.81 m/s2. We can find the truck mass from its weight
m = W/g = 14000 / 9.81 = 1427 kg
So if the maximum friction could be the truck weight, which is F = 14000N, then that would also be the maximum centripetal force it could be. According to Newton 2nd law of motion, the maximum centripetal acceleration the truck can have when traveling at a curve is
a = F / m = 14000 / 1427 = 9.81 m/s2
By applying the following formula we can find the minimum safe radius R of the curve when traveling at speed of 28.9 m/s
