I think it would be constellations
Answer:
(See explanation for further information)
Explanation:
a) The distances of each planet with respect to the Sun is:
Mercury - 
Venus - 
Earth - 
Mars - 
Jupiter - 
Saturn - 
Uranus - 
Neptune - 
b) The solutions are presented below:
A. The distance between Venus and Jupiter is:


B. The combined distance from the Sun is:


Which is less than the distance from the Sun to Neptune (
).
C. The new distance of Earth is
(
). Saturn would be the closest planet to Earth, whose distance:
Scientific notation:


Standard notation:


Answer:
t = 5.56 s
Explanation:
In order to calculate the time interval taken by the mountain biker to come to a stop, we will use third equation of motion and first find the deceleration:
2as = Vf² - Vi²
where,
a = deceleration = ?
s = distance = 15 m
Vf = Final Velocity = 0 m/s
Vi = Initial Velocity = 5.4 m/s
Therefore,
2a(15 m) = (0 m/s²) - (5.4 m/s)²
a = - 0.972 m/s²
Now, we use 1st equation of motion:
Vf = Vi + at
therefore,
0 m/s = 5.4 m/s + (-0.972 m/s²)(t)
t = (5.4 m/s)/(0.972 m/s²)
<u>t = 5.56 s</u>
Answer:
Amplitude = 0.02m
Frequency = 640 Hz
Wavelength, λ = 0.5m
v = 320 m/s
Explanation:
Given the wave equation :
y=0.02 sin2π/0.5 (320t - x) where x and y are in
meters and t is in second
Comparing the above relation with the general wave equation :
y(x, t) = Asin2π/λ(wt - kx)
The amplitude, A = 0.02
From the equation :
2π/0.5 = 2π/λ
λ = 0.5 m
320t = vt
Hence, v = 320 m/s
Recall :
v = fλ
320 = f * 0.5
f = 320 / 0.5
f = 640 Hz
Answer:
It is producing either a 435-Hz sound or a 441-Hz sound.
Explanation:
When two sound of slightly different frequencies interfere constructively with each other, the resultant wave has a frequency (called beat frequency) which is equal to the absolute value of the difference between the individual frequencies:
(1)
In this problem, we know that:
- The frequency of the first trombone is 
- 6 beats are heard every 2 seconds, so the beat frequency is

If we insert this data into eq.(1), we have two possible solutions for the frequency of the second trombone:
