Complete Question
An isolated charged soap bubble of radius R0 = 7.45 cm is at a potential of V0=307.0 volts. V0=307.0 volts. If the bubble shrinks to a radius that is 19.0%19.0% of the initial radius, by how much does its electrostatic potential energy ????U change? Assume that the charge on the bubble is spread evenly over the surface, and that the total charge on the bubble r
Answer:
The difference is 
Explanation:
From the question we are told that
The radius of the soap bubble is 
The potential of the soap bubble is 
The new radius of the soap bubble is 
The initial electric potential is mathematically represented as
The final electric potential is mathematically represented as
The initial potential is mathematically represented as
The final potential is mathematically represented as
Now
substituting values
=> 
So
Therefore
![U_f -U_i = \frac{V_1^2}{2k} [\frac{ R_1 }{ * 0.19^2} - R_o]](https://tex.z-dn.net/?f=U_f%20-U_i%20%3D%20%20%20%20%20%5Cfrac%7BV_1%5E2%7D%7B2k%7D%20%5B%5Cfrac%7B%20R_1%20%7D%7B%20%2A%200.19%5E2%7D%20-%20R_o%5D)
where k is the coulomb's constant with value 
substituting values
![U_f -U_i = \frac{307^2}{9 * 10^{9}} [\frac{ 0.014155 }{ 0.19^2} - 0.0745]](https://tex.z-dn.net/?f=U_f%20-U_i%20%3D%20%20%20%20%20%5Cfrac%7B307%5E2%7D%7B9%20%2A%2010%5E%7B9%7D%7D%20%5B%5Cfrac%7B%200.014155%20%7D%7B%200.19%5E2%7D%20-%200.0745%5D)
A large elliptical galaxy. Hope this helped
Answer:
The plane's acceleration is 33.33 m/s²
Explanation:
The following equation relates velocity, v and acceleration of a moving body;
v = u + a·t
Where:
v = The final velocity of the body after time, t = 180 km/min
u = The initial velocity of the body just before the counting of the time = 0 m/s
a = The acceleration of the body during time, t = Required
t = The time of the motion = 1.5 minutes = 1.5×60 seconds = 90 s
v = 180 km/min = 180 km/min × 1000 m/km × 1/60 min/s = 3000 m/s
∴ 3000 m/s = 0 m/s + a × 90
Therefore, the plane's acceleration = 33.33 m/s².
1 horsepower is equal to 746 W, so the power of the engine is
The power is also defined as the energy E per unit of time t:
Where the energy corresponds to the work done by the engine, which is
. Re-arranging the formula, we can calculate the time t needed to do this amount of work:
Limiting factors are resources or other factors in the environment that can lower the population growth rate. ... The carrying capacity (K) is the maximum population size that can be supported in a particular area without destroying the habitat. Limiting factors determine the carrying capacity of a population.
