Answer:
C) 413 Hz
Explanation:
For destructive interference, the path difference ΔL = (n + 1/2)λ where ΔL = L₂ - L₁ where L₁ = person's distance from one speaker (the closer one) = 5.0m and L₂ = person's distance from other speaker (the farther one) = 6.2 m and λ = wavelength = v/f where v = speed of sound = 330 m/s and f = frequency
So, ΔL = (n + 1/2)λ
L₂ - L₁ = (n + 1/2)v/f
f = (n + 1/2)v/(L₂ - L₁)
At the second lowest frequency that results in destructive interference at the point where the person is standing, n = 1.
So,
f = (1 + 1/2)v/(L₂ - L₁)
f = 3v/2(L₂ - L₁)
Substituting the values of the variables into the equation, we have
f = 3v/2(L₂ - L₁)
f = 3(330 m/s)/2(6.2 m - 5.0 m)
f = 3(330 m/s)/2(1.2 m)
f = 990 m/s ÷ 2.4 m)
f = 412.5 Hz
f ≅ 413 Hz
Answer:
if it is a thiner one, yes it will fit because they can expand a pretty far distance
Explanation:
All objects in orbit must follow the path of an ellipse (one of Keplers laws)
Answer:
566.3 m
Explanation:
The distance travelled by the object can be found by using the SUVAT equation:

where
u is the initial velocity
t is the time
a is the acceleration
For the object in this problem:
u = 19 m/s
a = 2.5 m/s^2
Substituting t = 15 s, we find the distance travelled:

The smallest size of the insect that the bats can detect corresponds to the wavelength of the chirp they emit.
Their chirp has a frequency of

and the speed of the chirp is equal to the speed of sound in air:

Therefore the wavelength of the chirp is

which corresponds to a size of 4.76 mm.