Answer:
(a) Maximum current through resistor is 1.43 A
(b) Maximum charge capacitor receives is
.
Explanation:
(a)
In an RC (resistor-capacitor) DC circuit, when charging, the current at any time, <em>t</em>, is given by

Here,
is the maximum current and <em>τ</em> represents time constant which is given by RC (the product of the resistance and capacitance).
The maximum current is given by

<em>V</em> is the emf of the battery and
is the effective resistance.
In this question,
= 10.0 Ω + 25.0 Ω = 35.0 Ω

(b) The maximum charge is given
<em>Q</em> = <em>CV</em>
where <em>C</em> is the capacitance of the capacitor

B is the answer because it takes millions of years to form these fossil fuels and everyday we use way more than we can find we may have a surplus for now but we may run out sooner than some think
As per kinematics equation we are given that

now we are given that
a = 2.55 m/s^2


now we need to find x
from above equation we have



so it will cover a distance of 93.2 m
The given question is incomplete. The complete question is as follows.
A 75-g bullet is fired from a rifle having a barrel 0.540 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is
, where x is in meters. Determine the work done by the gas on the bullet as the bullet travels the length of the barrel.
Explanation:
We will calculate the work done as follows.
W = 
= 
= ![[14000x + 5000x^{2} - 8666.7x^{3}]^{0.54}_{0}](https://tex.z-dn.net/?f=%5B14000x%20%2B%205000x%5E%7B2%7D%20-%208666.7x%5E%7B3%7D%5D%5E%7B0.54%7D_%7B0%7D)
= 7560 + 1458 - 1364.69
= 7653.31 J
or, = 7.65 kJ (as 1 kJ = 1000 J)
Thus, we can conclude that the work done by the gas on the bullet as the bullet travels the length of the barrel is 7.65 kJ.