I looked up the speed of sound in water ... you could have done it,
but I did it for you. It said 1,484 m/s ... I don't know if that's for fresh
water or sea water, but for 5 points I'm not going to worry about it.
Time = (800 meters) x (1 sec / 1,484 meters)
= (800 x 1,484) seconds
= 0.539 second . (rounded)
The first choice on the list is the closest one.
The area of the pool in square meters is 947.611008
Acceleration because it is at a rise in speed. The formula for acceleration is Speed/Time.
Answer:
Explanation:
In this problem, the capacitors C1 and C2 are connected in series to the battery.
The voltage of the battery, which is variable, is V.
The voltge across the capacitor C2 is V2: the graph of V2 versus V shows that a straight line with a slope of 0.45.
This means that the relationship between V and V2 is
(1)
So, 45% of the voltage is on the capacitor C2; and therefore, 55% of the voltage must be on capacitor C1:
(2)
When two capacitors are connected in series, they have the same charge on their plates, so
Using the relationship between charge (Q), capacitance (C) and voltage (V) for a capacitor:
We can rewrite the equation as
Or
Substituting (1) and (2),
And since
We find:
Answer:
T₂ > T₁ > T₃ >T₄
Explanation:
In a simple harmonic motion the angular velocity is
w =
angular velocity and period are related
w = 2π / T
we substitute
T =
let's find the period for each case
a) mass m
spring constant k
T₁ = 2π
b) mass 2m
spring constant k
T₂ = 2π
T₂ = T₁ √2
T₂ = T₁ 1.41
c) masses 3m
spring constant 6k
T₃ = 2π
T₃ = 2π
T₃ = T₁ 0.707
d) mass m
spring constant 4k
T₄ = 2π
T₄ = 2π
T₄ = T₁ 0.5
now let's order the periods in decreasing order
T₂ > T₁ > T₃ >T₄