Answer:
ω = √(2T / (mL))
Explanation:
(a) Draw a free body diagram of the mass. There are two tension forces, one pulling down and left, the other pulling down and right.
The x-components of the tension forces cancel each other out, so the net force is in the y direction:
∑F = -2T sin θ, where θ is the angle from the horizontal.
For small angles, sin θ ≈ tan θ.
∑F = -2T tan θ
∑F = -2T (Δy / L)
(b) For a spring, the restoring force is F = -kx, and the frequency is ω = √(k/m). (This is derived by solving a second order differential equation.)
In this case, k = 2T/L, so the frequency is:
ω = √((2T/L) / m)
ω = √(2T / (mL))
Answer:
A change in color
The formation of a precipitate
A clear liquid becoming cloudy
The formation of bubbles
The formation of smoke
Explanation:
A chemical reaction can be defined as the conversion of reactant into product. The process in which one or more than one substance is converted into one or many different substances.
There are some indications which can provide the evidence that chemical reaction has occurred.
A change in color of the substance, formation or smoke or bubbles. The formation of the precipitate and in case the substance becomes cloudy.
All these evidences show that chemical reaction has occurred.
Answer:
$1,105.69
Explanation:
For this question we use the Present value formula that is shown on the attachment. Kindly find it below:
Given that,
Future value = $1,000
Rate of interest = 8.4% ÷ 2 = 4.2%
NPER = 20 years × 2 = 40 years
PMT = $1,000 × 9.5% ÷ 2 = $47.50
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after solving this, the maximum price pay for the bond is $1,105.69
That gives you the magnitude of velocity, but it doesn't handle
the directions that are involved.