The answer is in the attachment
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Each capacitor carry the same charge 'q'.
Discussion:
The voltage from the battery is distributed equally across all of the capacitors when they are linked in series. The three identical capacitors' combined voltage is computed as follows:
= V₁ +V₂ +V₃
This voltage may also be calculated using capacitance and charge;
V = Q/ C
= V₁ +V₂ +V₃
Provided that the total charge is 'q', hence the total voltage can be expressed as:
= (Q/C₁) + (Q/C₂) + (Q/C₃) = Q(1/C₁ +1/C₂ +1/C₃)
Therefore from the above explanation, it is concluded that each and every capacitor carry same charge 'q'.
Learn more about the capacitor here:
brainly.com/question/17176550
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Answer:
Explanation:
Given:
Force, f = 5 N
Velocity, v = 5 m/s
Power, p = energy/time
Energy = mass × acceleration × distance
Poer, p = force × velocity
= 5 × 5
= 25 W.
Note 1 watt = 0.00134 horsepower
But 25 watt,
0.00134 hp/1 watt × 25 watt
= 0.0335 hp.
Complete Question
The angular speed of an automobile engine is increased at a constant rate from 1120 rev/min to 2560 rev/min in 13.8 s.
(a) What is its angular acceleration in revolutions per minute-squared
(b) How many revolutions does the engine make during this 20 s interval?
rev
Answer:
a
![\alpha = 6261 \ rev/minutes^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%206261%20%5C%20%20rev%2Fminutes%5E2)
b
![\theta = 613 \ revolutions](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20613%20%5C%20revolutions)
Explanation:
From the question we are told that
The initial angular speed is ![w_i = 1120 \ rev/minutes](https://tex.z-dn.net/?f=w_i%20%3D%20%201120%20%5C%20rev%2Fminutes)
The angular speed after
is ![w_f = 2560 \ rev/minutes](https://tex.z-dn.net/?f=w_f%20%3D%202560%20%5C%20rev%2Fminutes)
The time for revolution considered is
Generally the angular acceleration is mathematically represented as
![\alpha = \frac{w_f - w_i }{t}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7Bw_f%20-%20w_i%20%7D%7Bt%7D)
=>
=> ![\alpha = 6261 \ rev/minutes^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%206261%20%5C%20%20rev%2Fminutes%5E2)
Generally the number of revolution made is
is mathematically represented as
![\theta = \frac{1}{2} * (w_i + w_f)* t](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2A%20%28w_i%20%2B%20w_f%29%2A%20%20t)
=> ![\theta = \frac{1}{2} * (1120+ 2560 )* 0.333](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2A%20%281120%2B%202560%20%29%2A%20%200.333)
=> ![\theta = 613 \ revolutions](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20613%20%5C%20revolutions)
Answer:
2.2 s
Explanation:
Hi!
Let's consider the origin of the coordinate system at the ground, and consider that the clam starts with zero velocity, the equation of motion of the clam is given by
![x(t) = 23.1 m - \frac{1}{2}(9.8 m/s^2) t^2](https://tex.z-dn.net/?f=x%28t%29%20%3D%2023.1%20m%20-%20%5Cfrac%7B1%7D%7B2%7D%289.8%20m%2Fs%5E2%29%20t%5E2)
We are looking for a time t for which x(t) = 0
![0 = 23.1 m - (4.9 m/s^2) t^2](https://tex.z-dn.net/?f=0%20%3D%2023.1%20m%20-%20%284.9%20m%2Fs%5E2%29%20t%5E2)
Solving for t:
![t = \sqrt{\frac{23.1}{4.9}} s = 2.17124 s](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B%5Cfrac%7B23.1%7D%7B4.9%7D%7D%20s%20%3D%202.17124%20s)
Rounding at the first decimal:
t = 2.2 s