Suppose you have two capacitors and want to use them to store the maximum amount of energy by connecting them across a voltage source. you should connect them

Connect them in parallel

Explanation:

The energy stored by two capacitors connected to the same voltage source is given by

where

is the total capacitance of the two capacitors

V is the voltage of the source

In order to maximize the energy stored U, we need to maximize . We have:

- In parallel, the total capacitance is given by the sum of the individual capacitances:

- In series, the total capacitance is given by:

Comparing the two equations, we notice that , so the parallel configuration is the one that maximizes the energy stored.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

inverse v=i*r

nice nice