Answer:
92.25m
Explanation:
In order to solve the exercise, it is necessary to apply the concept of construtive interference due to a path difference.
The formula is given by,
where,
n is the index of refraction of the medium in which the wave is traveling
wavelenght
is the path difference
m = integer (0,1,2,3...)
Since in this case we are dealing with an atmospheric environment, where air is predominant, we approximate n to 1.
And since we need the reflected wave,
Where x is the distance in one direction without return.
The distance must correspond to the minimum therefore m = 0, so
Then the minimum distance is:
Therefore the minimum distance from the mountain to the receiver that produces destructive interference at the receiver is 92.25m
The temperature of the darc spaces can sometimes hike to extremely hot temperatures. Some amount of energy due to trapping matter inside is liberated and turned into light which can be seen in X-rays.
<h3>What are x-rays?</h3>
A piercing type of high-energy electromagnetic radiation is called X-radiation. The majority of X-rays have a wavelength between 10 picometers and 10 nanometers, which equates to frequencies between 30 petahertz and 30 exahertz.
X-ray scans show that a galaxy cluster's intergalactic region is extremely hot. This is due to the fact that the intergalactic medium, also known as the intergalactic media, is primarily composed of heated, ionized hydrogen with traces of heavier elements like silicon, carbon, and oxygen.
Instruments to detect X-rays must be transported to high altitudes by balloons, sounding rockets, and satellites since X-radiation is absorbed by the Earth's atmosphere.
To learn more about X-rays, here
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Complete Question
(A) What is the maximum tension possible in a 1.00- millimeter-diameter nylon tennis racket string?
(B) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?
The tensile strength of the nylon string is 
Answer:
A
T = 471.3 \ N
B
To prevent breakage the thickness of the string is increased
String breakage when the racket hit the ball is as a result of the string not being thick enough to withstand the increase in tension
Explanation:
From the question we are told that
The diameter is 
The tensile strength of the nylon string is 
Generally the radius is mathematically evaluated as
=> 
=> 
The cross sectional area is mathematically represented as
=> 
=> 
Generally the tensile strength of nylon is mathematically represented as
Where T is the tension on the maximum tension on the string
So
=> 
=> 
Form the equation above we see that
So if the tension is increased to prevent breakage the thickness of the string is increased(i. e the cross-sectional area )
String breakage when the racket hit the ball is as a result of the string not being thick enough to withstand the increase in tension
To solve this problem we must basically resort to the kinematic equations of movement. For which speed is defined as the distance traveled in a given time. Mathematically this can be expressed as
Where
d = Distance
t = time
For which clearing the time we will have the expression
Since we have two 'fluids' in which the sound travels at different speeds we will have that for the rock the time elapsed to feel the explosion will be:
In the case of the atmosphere -composite of air- the average speed of sound is 343m / s, therefore it will take
The total difference between the two times would be
Therefore 3.357s will pass between when they feel the explosion and when they hear it
Answer:
The moment of inertia of this sphere is 
.
Explanation:
It is given that,
Mass of the sphere, m = 4.8 kg
Radius of the sphere, r = 22 cm = 0.22 m
Tangential force, F = 11.2 N
The moment of inertia of the uniform sphere is given by :
So, the moment of inertia of this sphere is . Hence, this is the required solution.
