Answer:

The period of a wave is the duration it takes to complete one full oscillation, such as from one peak to the next trough.
Since the period is expressed in microseconds, it needs to be converted into seconds.
The conversion is:

Accordingly, the wave's period in seconds is
.
Response:
0.60 m/s
Details:
The average speed between times t = a and t = b can be expressed as:
v_avg = (x(b) − x(a)) / (b − a)
Given the function x(t) = 0.36t² − 1.20t, and considering the interval from 1.0 to 4.0:
v_avg = (x(4.0) − x(1.0)) / (4.0 − 1.0)
v_avg = [(0.36(4.0)² − 1.20(4.0)) − (0.36(1.0)² − 1.20(1.0))] / 3.0
v_avg = [(5.76 − 4.8) − (0.36 − 1.20)] / 3.0
v_avg = [0.96 − (-0.84)] / 3.0
v_avg = 0.60
The average speed calculated is 0.60 m/s.
Answer:

Explanation:
Let the charge on the large droplet be denoted as Q.
When the radius of the droplet is R, the electric potential for the larger droplet can be expressed as:

If it splits into n identical droplets, let the charge of each be "q" and their radius be "r".
Applying volume conservation gives us:


Now, the potential for the smaller droplets is given as:



