Answer:
v₂ = 16 m/s
Explanation:
We can use the continuity equation, which is as follows:
where,
A₁ = Area of inlet = πd²/4
A₂ = Area of outlet = π(d/2)²/4 = πd²/16
v₁ = velocity at inlet = 4 m/s
v₂ = velocity at outlet = ?
Therefore,
<u>v₂ = 16 m/s</u>
(a) The time for the capacitor to loose half its charge is 2.2 ms.
(b) The time for the capacitor to loose half its energy is 1.59 ms.
<h3>
Time taken to loose half of its charge</h3>
q(t) = q₀e-^(t/RC)
q(t)/q₀ = e-^(t/RC)
0.5q₀/q₀ = e-^(t/RC)
0.5 = e-^(t/RC)
1/2 = e-^(t/RC)
t/RC = ln(2)
t = RC x ln(2)
t = (12 x 10⁻⁶ x 265) x ln(2)
t = 2.2 x 10⁻³ s
t = 2.2 ms
<h3>
Time taken to loose half of its stored energy</h3>
U(t) = Ue-^(t/RC)
U = ¹/₂Q²/C
(Ue-^(t/RC))²/2C = Q₀²/2Ce
e^(2t/RC) = e
2t/RC = 1
t = RC/2
t = (265 x 12 x 10⁻⁶)/2
t = 1.59 x 10⁻³ s
t = 1.59 ms
Thus, the time for the capacitor to loose half its charge is 2.2 ms and the time for the capacitor to loose half its energy is 1.59 ms.
Learn more about energy stored in capacitor here: brainly.com/question/14811408
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Answer:
The amount of force applied to his body is 1944.44 N
<em>The chances of the person dying is very high owing to the high impact force with which the person would experience when he or she lands on the asphalt road due to the jump out of the moving car.</em>
Explanation:
We all know that,
F = Ma where,
F = Force
M = weight of the person
a = acceleration or velocity of the moving car
Therefore;
F = { 70 x (100 x 1000) } / [3600]
= [7 000 000] / 3600
= <u>1944.44 N</u>
<span>Aristotle would say that an object comes to rest because it got tired. Aristotle came up with ideas, but never tested them.
Galileo used experiments and mathematical models to analyze motion. He used a slanted inclined plane an order to slow down the acceleration due to gravity on an object. He found out that an object accelerates as it falls. </span>
