Answer:
The angular velocity at the beginning of the interval is
.
Explanation:
Given that,
Angular acceleration 
Angular displacement 
Angular velocity 
We need to calculate the angular velocity at the beginning
Using formula of angular velocity


Where,
= angular acceleration
= angular velocity
Put the value into the formula



Hence, The angular velocity at the beginning of the interval is
.
V = Volume of sample of gas = 1.00 L = 0.001 m³
T = temperature of the gas = 25.0 ⁰C = 25 + 273 = 298 K
P = pressure = 1.00 atm = 101325 Pa
n = number of moles of gas
using ideal gas equation
PV = n RT
101325 (0.001) = n (8.314) (298)
n = 0.041
n₁ = number of moles of helium
n₂ = number of moles of neon
m₁ = mass of helium = n₁ (4) = 4 n₁
m₂ = mass of neon = n₂ (20.2) = 20.2 n₂
given that :
m₁ = m₂
4 n₁ = 20.2 n₂
n₁ = 5.05 n₂
also
n₁ + n₂ = n
5.05 n₂ + n₂ = 0.041
n₂ = 0.0068
mole fraction of neon is given as
mole fraction = n₂ /n = 0.0068/0.041 = 0.166
P₂ = partial pressure of neon = (mole fraction) P
P₂ = (0.166) (1)
P₂ = 0.166 atm
The frequency of the red light is 428 terahertz. To get the value of the red light's frequency, use the formula F = velocity/wavelength. The velocity of light is 3.00 x 10^8 m/s. For easier computation, convert 700.5 nanometers to meter. 1 nanometer is equal to 1 x 10^-9 meters. 700.5 nanometers is equal to 7.005 x 10^-7 meters. Divide the velocity 3.00 x 10^8m/s by wavelength 7.005 x 10^-7 meters. The result will be 4.28 x 10^14 Hertz or 428 terahertz.
Answer:
The starting position of the runner.
Explanation:
When you look at the graph, you can see that the first point on the graph is twenty on the y-axis.
The runner starts at twenty, and ends at thirty.
Therefore, the runner starts at twenty on the y-axis, so it's the starting position of the runner.