Answer:
answer should be C.) Independent variable since its the one being changed
Explanation:
 
        
                    
             
        
        
        
Answer:
The number of turns in the solenoid is 22366. 
Explanation:
The number of turns in the solenoid can be found using the following equation:

Where:
B: is the magnetic field = 8.90 T
L: is the solenoid's length = 0.300 m
N: is the number of turns =?
I: is the current = 95 A
μ₀: is the magnetic constant = 4π×10⁻⁷ H/m
By solving equation (1) for N we have:

Therefore, the number of turns in the solenoid is 22366. 
I hope it helps you!
 
        
             
        
        
        
Answer:
36 N
Explanation:
Velocity of a standing wave in a stretched string is:
v = √(T/ρ),
where T is the tension and ρ is the mass per unit length.
300 m/s = √(T / 4×10⁻⁴ kg/m)
T = 36 N
 
        
             
        
        
        
Answer:
-The speed of sound at 33°C is 362.8 m/s.
-The wavelength at a frequency at 5 kHz is 0.07256 m .
Explanation:
let v = 343 m/s be the speed of sound.
let T be the temperature.
then the speed of sound V, at 33°C is given by:
V = v + 0.6×T
    = 343 + 0.6×33
    = 362.8 m/s
Therefore, the speed of sound at 33°C is 362.8 m/s. 
the wavelength at a frequency of f = 5kHz = 5000 Hz is given by:
λ = V/f
   = (362.8)/(5000)
   = 0.07256 m
Therefore, the wavelength at a frequency at 5 kHz is 0.07256 m .
 
        
             
        
        
        
Answer:
H = 1/2 g t^2    where t is time to fall a height H
H = 1/8 g T^2   where T is total time in air  (2 t  = T)
R = V T cos θ       horizontal range
3/4 g T^2 = V T cos θ       6 H = R    given in problem
cos θ = 3 g T / (4 V)           (I)
Now t = V sin θ / g     time for projectile to fall from max height
T = 2 V sin θ / g 
T / V = 2 sin θ / g
cos θ = 3 g / 4 (T / V)     from (I) 
cos θ = 3 g / 4 * 2 sin V / g = 6 / 4 sin θ
tan θ = 2/3       
θ = 33.7 deg
As a check- let V = 100 m/s
Vx = 100 cos 33.7 = 83,2
Vy = 100 sin 33,7 = 55.5 
T = 2 * 55.5 / 9.8 = 11.3 sec
H = 1/2 * 9.8 * (11.3 / 2)^2 = 156
R = 83.2 * 11.3 = 932
R / H = 932 / 156 = 5.97        6 within rounding