Answer:
w=3.05 rad/s or 29.88rpm
Explanation:
k = coefficient of friction = 0.3900
R = radius of the cylinder = 2.7m
V = linear speed of rotation of the cylinder
w = angular speed = V/R or to rewrite V = w*R
N = normal force to cylinder
N=


These must be balanced (the net force on the people will be 0) so set them equal to each other.





There are 2*pi radians in 1 revolution so:

So you need about 30 RPM to keep people from falling out the bottom
Answer:
17.6 m/s²
Explanation:
Given:
= 90 m/s (final velocity)
= 2 m/s (initial velocity)
Δt = 5s (change in time)
The formula for acceleration is:
= Δv / Δt
We can find Δv by doing
Δv =
- 
Replace the values
Δv = 90m/s - 2m/s
Δv= 88m/s
Using the equation from earlier, we can find the acceleration by dividing the average velocity by time.
= Δv / Δt
= 
acceleration = 17.6 
<span>This is an example of work-energy theorem
where it lets a person accumulate the strength of<span> the muscles
over the duration of the swing, allowing much<span> bigger forces as the hammer hits
the nail.
Moreover, the work done on an object by a net
force is equals to the change in kinetic energy of the object, which is
expressed as W = KEf - KEi. </span></span></span>
<span>Therefore, if the hammer hits the nail with twice the speed, it corresponds to 4 times the energy and four
times the driving distance. If the hammer hits with three times the speed, the driving distance is 9
times as much.</span>
Answer:
c. More intense IR absorption occur for those bonds having greater dipole moment changes with bond lengthening in a vibration.
Explanation:
When the molecules is exposed to the infrared radiation, the sample molecules absorb the radiation of wavelengths (specific to molecule) which causes change in the dipole moment of the sample molecules. The vibrational energy levels of the sample molecules consequently transfer from the ground state to the excited state.
Frequency of absorption peak is determined by vibrational energy gap.
Intensity of absorption peaks is related to change of dipole moment and possibility of transition of the energy levels.
Thus, by analyzing infrared spectrum,abundant structure information of the molecule can be known.
Hence, the correct answer to the question is
c. More intense IR absorption occur for those bonds having greater dipole moment changes with bond lengthening in a vibration.
Question 1's answer is, if we change the length of the string allowed to vibrate, then the frequency (and pitch) of the string vibration will change. This is because the tension of the string determines the pitch.
Question 2's answer is 2. This can be solved by doing simple division. 30/15 = 2.
Question 3's answer is short bars. Each bar on a xylophone produces a different pitch; the shorter the bar, the higher the pitch.
Hope this helps.