Answer:
for 
Where z=0 m is the position of Miss Piggy and z=4 m is the position of the speaker.
Explanation:
Assuming that Miss Piggy emits a sound wave that is in phase with the speaker, and that z=0 is the position of Miss Piggy and z=4 is the position of the speaker, we would have a superposition of two traveling sound waves. Furthermore let's assume that both waves have the same amplitude. The total resulting wave will be given by:
where
is the angular frequency of the traveling wave and
is the wave number defined as
.
is the wavelength of both traveling waves (they have the same wavelength because they have the same frequency).
where v is the speed of sound.
By using the trigonometric identity
we can rewrite
as
.
In order for the resulting wave to have maximum destructive interference, that is to be zero for any time t, we need to have



B.
increases as the tension of the string increases
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 force applied to the smaller piston is 600 N
Explanation:
Given;
weight of the car, F = 15,000 N
radius of the lager piston, R = 0.2 m
radius of the smaller piston, r = 0.04 m
let the force applied to the smaller piston = f
The pressure applied on both piston is constant;

Therefore, the force applied to the smaller piston is 600 N
Stalagmite formation occurs only under certain pH conditions within the cave. They form through deposition of calcium carbonate and other minerals