The no of electron passing through the circuit is current by time. The no of electron passing are 46.63 x 10¹⁹ electrons.
<h3>What is charge?</h3>
The charge is the physical quantity which attracts or repels another object when comes into its field.
The time 3 min has 3 x 60 =180 seconds.
Total Charge Q = current I x time t
Q = 0.415 x 180
Q =74.7 coulombs
The no of electrons is the ratio of total charge divided by the fundamental charge.
n = 74.7/ 1.602 × 10⁻¹⁹
n= 46.63 x 10¹⁹ electrons
Thus, electrons pass a given point in the circuit in 3 min are 46.63 x 10¹⁹ .
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The position of the particle is given by:
x(t) = t³ - 12t² + 21t - 9
Differentiate x(t) with respect to t to find the velocity x'(t):
x'(t) = 3t² - 24t + 21
Differentiate x'(t) with respect to t to find the acceleration x''(t):
x''(t) = 6t - 24
Answer:

Explanation:
Given:
- mass of water,

- initial temperature of water,

- final temperature of water,

- specific heat of water,

<u>Now the amount of heat energy required:</u>



Since all of the mechanical energy is being converted into heat, therefore the same amount of mechanical energy is required.
<h2>
Spring constant is 14.72 N/m</h2>
Explanation:
We have for a spring
Force = Spring constant x Elongation
F = kx
Here force is weight of mass
F = W = mg = 0.54 x 9.81 = 5.3 N
Elongation, x = 36 cm = 0.36 m
Substituting
F = kx
5.3 = k x 0.36
k = 14.72 N/m
Spring constant is 14.72 N/m