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
Answer:
The amplitude of the wave is 0.02 m.
Explanation:
Given that,
Maximum speed = 2.0 m/s
Maximum acceleration = 200 m/s²
We need to calculate the angular frequency
Using formula of angular frequency

Put the value into the formula


We need to calculate the amplitude of the wave
Using formula of velocity


Put the value into the formula


Hence, The amplitude of the wave is 0.02 m.
Answer:
Anita 's power rating during this portion of the climb is 1568 Watts.
Explanation:
Given that,
Mass of the body, m = 800 kg
Height, h = 20 m
Time, t = 100 s
We need to find the Anita 's power rating during this portion of the climb. Power rating of an object is given by the work done per unit time. It is given by :



P = 1568 Watts
So, Anita 's power rating during this portion of the climb is 1568 Watts. Hence, this is the required solution.
Answer:
I would agree with your selection.
Explanation:
Take the object's starting direction of motion to be the positive direction, so that a stopping force acts in the opposite direction. By Newton's second law, the object undergoes an acceleration <em>a</em> such that
-15 N = (20 kg) <em>a</em>
Solve for <em>a</em> :
<em>a</em> = - (15 N) / (20 kg) = -0.75 m/s²
The object's velocity <em>v</em> at time <em>t</em> is then given by
<em>v</em> = 3 m/s + (-0.75 m/s²) <em>t</em>
so the time it takes for the object to slow to a rest is
0 = 3 m/s + (-0.75 m/s²) <em>t</em>
<em>t</em> = (3 m/s) / (0.75 m/s²) = 4.0 s