Answer:
2.000 s
Explanation:
Given:
a = 50.00 m/s²
v = 100.0 m/s
v₀ = 0 m/s
Find: t
v = at + v₀
(100.0 m/s) = (50.00 m/s²) t + (0 m/s)
t = 2.000 s
Answer:
C. g/cm³
Explanation:
The slope is measured by calculating the variation of the Y values over the X values between two points on a line.
So, the formula is: Slope = Δy/Δx
That means that we also take the units.
In this case, the Y-axis unit is in g, while the X-axis unit is in cm³.
Dividing a Y-variation over an X-variation will give you g/cm³.
In this case, let's assume the line passes through (10,100) (not exactly, but close enough for the example), and it passes through (0,0)
So the slope would be: (100-0) g / (10-0) cm³ = 10 g/cm³
Answer:
F = 141.3 N
Explanation:
Pressure inside the Champagne bottle = 4.5 atm
1 atm = 10⁵ Pa
4.5 atm = 4.5 x 10⁵ Pa
inner radius of the bottle = 1 cm = 0.01 m
Area of the bottle = π r²
= π x 0.01²
= 3.14 x 10⁻⁴ m²
Force acting on the cork due to excess pressure
F = P A
F = 4.5 x 10⁵ x 3.14 x 10⁻⁴
F = 141.3 N
The frictional force on the cork due to the neck bottle will also be equal to F = 141.3 N
Answer:
(1) The resistivity of the rod at 20 °C is 8.652×10^-6 ohm-meter.
(2) The temperature coefficient of resistivity at 20 °C is 0.00125/°C
Explanation:
(1) Resistance at 20 °C = V/I = 14/18.7 = 0.749 ohm
Length = 1.7 m
Diameter (d) = 0.5 cm = 0.5/100 = 0.005 m
Area = πd^2/4 = 3.142×0.005^2/4 = 1.96375×10^-5 m^2
Resistivity at 20 °C = resistance × area/length = 0.749×1.96375×10^-5/1.7 = 8.652×10^-6 ohm-meter.
(2) Resistance at 92 °C = V/I = 14/17.2 = 0.814 ohm
Temperature coefficient at 20 °C = (0.814/0.749 - 1) ÷ (92 - 20) = (1.09 -1) ÷ 72 = 0.09 ÷ 72 = 0.00125/°C
