We can solve the problem by using the law of conservation of energy:
- at the beginning, all mechanical energy of the object is just kinetic energy:
, where m is the mass and v is the velocity
- at the point of maximum height, all mechanical energy of the object is just gravitational potential energy:
, where h is the maximum height
Therefore, the conservation of energy becomes:
![\frac{1}{2}mv^2 = mgh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20%3D%20mgh)
Re-arranging, we find the maximum height:
![h=\frac{v^2}{2g} = \frac{(75.0 m/s)^2}{2(9.8 m/s^2)}=287.0 m](https://tex.z-dn.net/?f=h%3D%5Cfrac%7Bv%5E2%7D%7B2g%7D%20%3D%20%5Cfrac%7B%2875.0%20m%2Fs%29%5E2%7D%7B2%289.8%20m%2Fs%5E2%29%7D%3D287.0%20m)
Number of miles that marker shows when passes through town= 160 miles.
Number of miles that marker shows currently to John = 115 miles.
We need to find the distance between town and John's current location.
For the problem, we can clearly see that Town is at 160 miles away but when John passes the marker shows 115 miles.
So, it's just the difference between 160 miles and 115 miles.
In order to find that difference, we need to subtract those two numbers.
160miles - 115miles = 45 miles.
So, we could say the distance between town and John's current location is 45 miles.
There Are Actually 5 So I Will Give You All.... Size Of Atom, Nuclear Charge, Screening Effect (Also Known As Sheilding Effect), Penetration Effect And Electronic Configuration
Answer:
Explanation:
Scientist use many techniques to analyze and interpret data. To interpret data they make tables and graphs of data which are two of the most useful techniques in data analysis.
Answer / Explanation:
Referencing the diagram of a resonance in a vertical tube as illustrated in the attached diagram below,
we can say that:
Vertical wave is the result of superposition of dual and identical waves.
We should also note that the only difference is that they travel in opposite directions to each other.
So, let assume a tuning fork is vibrated with frequency ν
at the open end of the tube of varying length which can be changed during vibration with the help of water level change.
Also, let us assume the minimum length of the tube be L, when the resonance is heard.
Also, we assume that 1/4 of the wavelength λ
of the standing wave is equal to length of the minimum length L of the tube.
Hence, we have:
λ = 4
L
.
So, if speed of sound in air is V
, then frequency of the tuning fork can be expressed as:
U = v / λ = v / 4L
Noting that we have been given the speed of sound in air as V = 343
m
/
s
.
where:
U = v / λ = v / 4L
therefore,
343
m
/
s / 4 x 0.5525 m
= 155.20 Hz
Noting that 1 wave length in centimeter is 29979245800 Hz
Therefore, I wavelength in centimeter = 29979245800 Hz / 155.20 Hz
= 193 cm