Answer:
Direct variation suggests that two variables change in the same direction, when one variable decreases the other increases.
Answer:
Lowest resonant frequency:
Wave Speed:
Explanation:
The lowest resonant frequency
For a fixed string a resonant mode is always a integer multiple of fundamental frequency (the lowest resonant frequency):
Is the frequency for a resonant mode
is fundamental frequency (the lowest resonant frequency).
Due to problem says that there's not intermediate resonant frequencies between 684 Hz and 798 Hz, i.e, they are consecutive resonant modes, equations are as follows:
Solving for n from equation (1) and replacing it in the equation (2)
And finally solving for
Wave speed
For a fixed string the wave speed can be calculated by using
Where V is the wave speed and L is the string length.
So, using this equation and solving for V:
<em>It Is very important convert the string length unit to meters</em>
That would be false
Explanation:
<span>The net force acting on the runner must be zero.</span>
Let the distance from the ground to where the rocket clears the wall be x.
x/27.0 = tan 60° , x = 27.0 × tan 60° = 46.8m (rounded off to 1 decimal value)
The rocket clears the wall by 46.8m - 11.0m = 35.8m
<u>How far the rocket lands:</u>
Distance =Velocity × time
Velocity = 75.0m/s
Time = ?
Time due to free fall = Velocity ÷ Acceleration due to gravity(9.8m/s²) = 75.0/9.8 = 7.7seconds (rounded off to 1 decimal value)
Distance = Velocity × Time = 75.0m/s × 7.7s = 577.5m
<u>Final velocity as the rocket hits the ground:</u>
Velocity due to free fall = Acceleration due to free fall × Time = 9.8m/s² × 7.7s = 75.5m/s (rounded off to 1 decimal value).