The mass is moving by uniformly accelerated motion, with initial velocity

and acceleration

. Its position at time t is given by the following law:

where we take the initial position

since we are only interested in the distance traveled by the mass.
If we put

into the equation, the corresponding time t is the time it takes for the mass to travel this distance:


And the two solutions for the equation are:

--> negative, we can discard it

--> this is the solution to our problem
Answer:
7503.13 N/m
Explanation:
Use principle of conservation of energy.
Here, energy stored in the spring due to compression shall be utilized in attaining the potential energy of the mug.
Given that,
Length of the spring = 20 cm = 0.20 m
Compression, x = 8 cm = 0.08 m
mass of the mug, m = 350 g = 0.35 kg
h = 7 m
use the expression for energy balance -
(1/2)*k*x^2 = m*g*h
=> k = (2*m*g*h) / x^2
input the values
k = (2*0.35*9.8*7) / 0.08^2
= 7503.13 N/m
Answer:
In an atomizer, or perfume sprayer, you squeeze a rubber bulb to squirt air through a tube. Because of the Bernoulli principle, the air rushing through the tube has a lower pressure than the surrounding atmosphere. ... The perfume is pushed out of the tube and sprays into the air as a fine mist.
Explanation:
There's an effect called The Doppler Effect, that's the "up and down" sound.
That frequency is 1.8mm and 115 per minute.
(Hope this helped.)