So we want to know what is the magnitude of the horizontal component of acceleration ah if we know that the overall acceleration a=12 m/s^2 and the angle of overall acceleration and the horizontal acceleration is α=50°. We know that ah=a*cosα. So now it isn't hard to get the horizontal component: ah=12*cos50=12*0.64=7.71 m/s^2. So the correct answer is ah=7.71 m/s^2.
A. 75 ampere-turns
<u>Explanation:</u>
Given:
Number of turns, n = 50
Voltage, V = 9V
Current, I = 1.5A
MMF= ?
MMF is magnetomotive force.
MMF is independent on voltage and dependent on the number of turns and current in the wire.
Thus, MMF can be written as:

On substituting the value we get:
MMF = 50 X 1.5
MMF = 75 ampere-turns
Ability to maintain ones balance when not moving.
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Answer:
a) 24.692 m/s
b) 19.4 m
Explanation:
To calculate the velocity at the nozzle outflow (V2) we use the Bernoulli equation:

We know that the velocity above the oil surface (V1) and the pressure at the nozzle outflow (P2) are negligible, the height in the exit is zero (Z2) then:

a) The velocity (V2) is:


![V2=[(\frac{P1}{pg}+Z1)(2g)]^{1/2}](https://tex.z-dn.net/?f=V2%3D%5B%28%5Cfrac%7BP1%7D%7Bpg%7D%2BZ1%29%282g%29%5D%5E%7B1%2F2%7D)
Substituting the known values we can get the velocity at the out:
Atmospheric pressure= 101000 Pa
Oil density= 0.88x(Water density)=0.88(1000kg/m3)=880kg/m3
![V2=[(\frac{150000Pa+101000 Pa}{(880 kg/m3)(9.81m/s)}+2m)(2(9.81m/s2))]^{1/2}](https://tex.z-dn.net/?f=V2%3D%5B%28%5Cfrac%7B150000Pa%2B101000%20Pa%7D%7B%28880%20kg%2Fm3%29%289.81m%2Fs%29%7D%2B2m%29%282%289.81m%2Fs2%29%29%5D%5E%7B1%2F2%7D)

b) To calculate the height we have to apply the Bernoulli equation between the outflow and the maximum height (Z3), so:

We know that the velocity above the stream (V3) and the pressure at the nozzle outflow (P2) are negligible, the pressure at the top of the stream (P3) is the atmospheric pressure, then:


Substituting the known values, the height (Z3) is:

Z3=Maximum Height=19.376=19.4 m