Potable water is Fit to drink. It is both safe and healthy enough for consumer use.
We'll use the formula Solubility = K * P where K is the Henry's constant and P is the pressure in atm.
If 1 bar = 0.9869 atm.
Then 4.5 bar = X atm
X = 4.4410
So Solubility = 58 * 4.4410 = 257.574 M
Answer:
The easiest way to tackle this problem is by breaking the vectors up into their components (also it's easier to type this method).
G = 40.3 cos (-35.0°) i + 40.3 sin (-35.0°) j ----where i denotes the x direction and j denotes the y direction
H = 63.3 sin (270°) j ----- I left off the i component because i know cos 270 is 0.
40.3 and 63.3 are the magnitudes of your vector, or the hypotenuse of a triangle. We are finding the horizontal (Adjacent) and vertical (Opposite) legs the respective hypotenuse (we have to remember SOH COH TOA)
Now you can simply add components
G + H = (40.3 cos (-35.0)) i + (40.3 sin (-35.0°)+ 63.3 sin (270)) j ----be sure to pay close attention to signs when doing your calculations on your calculator.
The formula for potential energy is mass x height x gravitational force. Your mass is 5.3 kg and your height is 6.6 meters. The gravitational force on earth is 9.8 m/s. That means your answer is 5.3 x 6.6 x 9.8 and that equals 342.804
Answer:
A) L = 0.496 m, B) the movement of the elevator upwards decreases the angular velocity of the pendulum
Explanation:
A) The motion of a simple pendulum is a harmonic motion with angular velocity
w² = g /L
angular velocity and frequency are related
w = 2π f
we substitute
4π² f² = g /L
L =
let's calculate
L = 9.8 / 4 pi² 0.5
L = 0.496 m
B) To see the effect of the elevator acceleration (aₐ), let's use Newton's second law.
At the acceleration from the vertical direction upwards, let's decompose it is a component parallel to the movement and another perpendicular
sin θ = a_parallel / aₐ
a_parallel = aₐ sin θ
this component of the acceleration is in the opposite direction to the movement of the system, so it must be negative
- W sin θ = m (a - a_parallel)
- mg sin θ = m ()
all angles are measured in radians, therefore the angular displacement is
s = L θ
We solve the system for small angles
sin θ = θ
we substitute
- mg θ + m aₐ θ = m L
this is the same equation of the simple pendulum therefore the angular velocity is
w² =
When analyzing this expression, we see that the movement of the elevator upwards decreases the angular velocity of the pendulum