Answer:
The lowest possible frequency of sound for which this is possible is 1307.69 Hz
Explanation:
From the question, Abby is standing 5.00m in front of one of the speakers, perpendicular to the line joining the speakers.
First, we will determine his distance from the second speaker using the Pythagorean theorem
l₂ = √(2.00²+5.00²)
l₂ = √4+25
l₂ = √29
l₂ = 5.39 m
Hence, the path difference is
ΔL = l₂ - l₁
ΔL = 5.39 m - 5.00 m
ΔL = 0.39 m
From the formula for destructive interference
ΔL = (n+1/2)λ
where n is any integer and λ is the wavelength
n = 1 in this case, the lowest possible frequency corresponds to the largest wavelength, which corresponds to the smallest value of n.
Then,
0.39 = (1+ 1/2)λ
0.39 = (3/2)λ
0.39 = 1.5λ
∴ λ = 0.39/1.5
λ = 0.26 m
From
v = fλ
f = v/λ
f = 340 / 0.26
f = 1307.69 Hz
Hence, the lowest possible frequency of sound for which this is possible is 1307.69 Hz.
Answer:
Explanation:
We have given work is done on the gas is 1200 J
So work done will be ( as work is done on the gas )
It is given that internal energy is increases by exactly 700 J
So
From thermodynamic equation
So
Here negative sign indicates that heat flow out of the gas
If heat was negative then heal was flowing in the gas
Answer:
, 6.1 s
Explanation:
The motion of the dropped penny is a uniformly accelerated motion, with constant acceleration
towards the ground. If the penny is dropped from a height of
the vertical position of the penny at time t is given by the equation
where the negative sign is due to the fact that the direction of the acceleration is downward.
We want to know the time t at which the penny reaches the ground, which means h(t)=0. Substituting into the equation, it becomes
And re-arranging it, we find an expression for the time t:
And substituting the numbers, we can also find the numerical value: