Answer: Increase in competition for abiotic factors.
Explanation: Resource availability is one of the main factors determining the ecological dynamics of populations or species. Fluctuations in resource availability can increase or decrease the intensity of resource competition. Resource availability and competition can also cause evolutionary changes in life-history traits
Answer:
Explanation:
Hi!
In order to obtain the Lagrangian of the system we must first write the Kinetic and Potential Energies. Lets orient our axes such that the axis of the cone coincide with the z axis. In cilindrical coordinates we have
- (1)
But, since the particle is constrained to move on the surface of the cilinder, we have the following relation between r and z:

or:
- (2)
and:
replacing (2) in (1) we obtain:
- (3)
Now the kinetic energy is given as:
- (4)
And the potential energy is given by:

So the Langrangian is given by:

And the equations of motion are:
For θ

For r

Obtained from the Euler-Langrange equations
Here the conserved quantity is given by the first equation of motion, namely:

Which is the magnitude of the angular momentum
Force is responsible for all changes in motion.
<h3><u>Answer and explanation;</u></h3>
- <em><u>Sound waves are mechanical waves and are examples of the longitudinal type, a longitudinal wave involves the movement of molecules in the medium parallel to the direction of the wave.</u></em>
- Sound waves are longitudinal mechanical waves because they move particles parallel to their direction of travel. For example, if a sound wave travels from left to right.
- <em><u>Pitch is what we perceive as the low or high note quality of a sound. Pitch is determined by the frequency of the sound wave that moved through the air to our eardrums. Frequency is the time taken for a complete oscillation of a wave. </u></em>
- The more energy or work used to create the vibration, which in turn creates the sound wave, the greater the amplitude of the wave and the louder the sound. Wavelength is the distance between two successive rarefactions or compression in a longitudinal wave.
- For example, if you were to lightly hit a drum with a drum stick, there would be a softer sound as opposed to the loud boom that would be created if you hit the drum with all of your might