Answer:
a = 8.951 m/s²
Explanation:
given,
angle = 0.52 radians
μ_s = 0.84
μ_k = 0.48
acceleration = ?
using
F + f = m a
mg sin θ + μk mg cos θ = m a
a = g sin θ + μk g cos θ
a = 9.8 x sin 0.52 + 0.48 x 9.8 x cos 0.52
a = 4.869 + 4.082
a = 8.951 m/s²
the magnitude of acceleration is a = 8.951 m/s²
(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:
708.3 Hz
Explanation:
For an open-air column, like the empty can, the fundamental frequency is given by
where
v = 340 m/s is the speed of sound
L is the length of the column
In this problem, the length of the bottle is
L = 24 cm = 0.24 m
Therefore, the fundamental frequency is
Answer:
Only Temperature
Explanation:
substances dont have a set Temperature and mass has nothing to do with its temperature.
Answer:
Explanation:
It is assumed that pole vaulter began running at a height of zero. The physical model is formed after the Principle of Energy Conservation:
The previous expression is simplified and required height is found:
![h_{B} = \frac{1}{2 \cdot (9.807\, \frac{m}{s^{2}} )} \cdot [(10\, \frac{m}{s} )^{2}-(1.3\, \frac{m}{s} )^{2}]](https://tex.z-dn.net/?f=h_%7BB%7D%20%3D%20%5Cfrac%7B1%7D%7B2%20%5Ccdot%20%289.807%5C%2C%20%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%29%7D%20%5Ccdot%20%5B%2810%5C%2C%20%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D-%281.3%5C%2C%20%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%5D)
