The un-ionized form of an acid indicator is yellow and its anion is blue. the ka of this indicator is 10â’5 . what will be the c
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The fundamental frequency of a string is given by:
where L is the string's length, T the tension and
the linear density of the string.
We can see that f1 is proportional to the square root of T:
.
This means that if the new tension is half the initial value, the new fundamental frequency will be proportional to
So, the new fundamental frequency will be
where L is the string's length, T the tension and
We can see that f1 is proportional to the square root of T:
This means that if the new tension is half the initial value, the new fundamental frequency will be proportional to
So, the new fundamental frequency will be
Answer:
w = 1.14 rad / s
Explanation:
This is an angular momentum exercise. Let's define a system formed by the three bodies, the platform, the bananas and the monkey, in such a way that the torques during the collision have been internal and the angular momentum is preserved.
Initial instant. The platform alone
L₀ = I w₀
Final moment. When the bananas are on the shelf
we approximate the bananas as a point load and the distance is indicated
x = 0.45m
L_f = (m x² + I ) w₁
angular momentum is conserved
L₀ = L_f
I w₀ = (m x² + I) w₁
w₁ =
Let's repeat for the platform with the bananas and the monkey is the one that falls for x₂ = 1.73 m
initial instant. The platform and bananas alone
L₀ = I₁ w₁
I₁ = (m x² + I)
final instant. After the crash
L_f = I w
L_f = (I₁ + M x₂²) w
the moment is preserved
L₀ = L_f
(m x² + I) w₁ = ((m x² + I) + M x₂²) w
(m x² + I) w₁ = (I + m x² + M x₂²) w
we substitute
w =
w =
the moment of inertia of a circular disk is
I = ½ m_p x₂²
we substitute
w =
let's calculate
w =
w =
w = 1.14 rad / s