The frequency of the wave is 132 Hz
Explanation:
To calculate the speed of the wave, we can use the following formula:
where
d is the distance travelled by the wave
t is the time elapsed
For the sound wave in this problem, we have:
d = 660 m is the distance travelled
t = 2 s is the time interval considered
Substituting and solving for v, we find the speed of the sound wave:
Now we can calculate the frequency of the wave by using the wave equation:
where
v = 330 m/s is the speed of the wave
is the wavelength
f is the frequency
Solving for f, we find:
Learn more about wavelength and frequency:
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This question involves the concepts of the law of conservation of energy, kinetic energy, and potential energy.
The height of the hill is "166.76 m".
<h3>LAW OF CONSERVATION OF ENERGY:</h3>
According to the law of conservation of energy at the highest point of the roller coaster ride, that is, the hill, the whole (maximum) kinetic energy of the roller coaster is converted into its potential energy:
where,
- h = height of the hill = ?
= maximum velocity = 57.2 m/s
- g = acceleration due to gravity = 9.81 m/s²
Therefore,
<u>h = 166.76 m</u>
Learn more about the law of conservation of energy here:
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im a bit confused on what the question is:(
if its just asking for the total number of km traveled it would be 21 km
Answer: h = 3R
Explanation:
Using the law of conservation of energy,
Total energy at the beginning of the launch would be equal to total energy at any point.
kinetic energy + gravitational potential energy = constant
Initial energy of the projectile =
... (1)
where R is the radius of the Earth, M is the mass ofthe Earth, m is the mass of the projectile.
escape velocity, 
Total energy at height h above the Earth where speed of the projectile is half the escape velocity:
...(2)
(1)=(2)
⇒
⇒
⇒
⇒
⇒h = 3R
Thus, at height equal to thrice radius of Earth, the speed of the projectile would reduce to half of escape velocity.
