To solve the problem, we can use Charle's law, which states that for an ideal gas at constant pressure the ratio between absolute temperature T and volume V remains constant:

For a gas transformation, this law can be rewritten as

(1)
where 1 and 2 label the initial and final conditions of the gas.
Before applying the law, we must convert the temperatures in Kelvin:


The initial volume of the gas is

, so if we re-arrange (1) we find the new volume of the gas:
Answer:
81.8 m/s
Explanation:
The initial velocity of the plane is:
(toward east)
So, decomposing along the x- and y- directions:

(we took east as positive x-direction and north as positive y-direction)
The acceleration is
(northwest, so the angle with the positive x-direction is 135 degrees)
Decomposing it along the two directions:

So the two components of the velocity after a time t = 25.0 s will be

So, the magnitude of the velocity of the plane will be

Answer:
Remember: in physics and music, frequency equates to pitch, and amplitude equates to loudness. Also, remember frequency is inversely proportional to wavelength- remember this!
Thus, (B) should be the correct answer, because, think about it, if a note is higher, than the wavelength should be shorter so the length should also be shorter, but in the case of B, if the cable is longer or thicker then the wavelength gets longer. Therefore, going from low to high, the string should be getting shorter, due to the fact that as wavelength gets shorter, frequency gets higher.
Answer:
a) 800 km
b) 9.79° & 12.47°
Explanation:
It is known that the wavelength of any material or substance is given by the relation 入 = v/f
From the question, the time between the crest is given as 1.0 h, therefore, t = 1.0 h
Also, remember that frequency, f can be represented by
f = 1/t, and thus,
f = 1/1.0 h = 1.0 h^-1. This is our frequency, and would be used in the primary stated formula
入 = v/f, from the question, the speed is already stated as 800 km/h, so we apply directly
入 = 800 / 1
入 = 800 km. Therefore, the wavelength of the tsunami is 800 km
B,
the smallest angle between the Southern tip of Africa is
Sinθ = 800 / 4500
Sinθ = 0.17
θ = Sin^-1 0.17
θ = 9.79°
The smallest angle between the Southern end of Australia is
Sinθ = 800 / 3700
Sinθ = 0.216
θ = Sin^-1 0.216
θ = 12.47°
Answer:
length is 23.228091 m
Explanation:
Given data
radius = 0.791 mm = 0.791 ×
m
current = 9.25 A
voltage = 1.20 × 10² V
to find out
resistance and length of wire
solution
we know the resistance formula that is
resistance = voltage / current
resistance = 1.20 × 10² /9.25
resistance = 12.97
so resistance is 12.97 ohm
and length of nichrome wire formula is
length = resistance × area / specific resistance of wire
so specific resistance of wire we know = 1.1 ×
and area =
× r² =
× (0.0791×
)²
area = 1.97 × 
length = 12.97 × 1.97 ×
/ 1.1 ×
so length is 23.228091 m