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MArishka [77]
3 years ago
14

Water from a fire hose is directed horizontally against a wall at a rate of 58.1 kg/s and a speed of 43.5 m/s. Calculate the mag

nitude of the force exerted on the wall (in N), assuming the water's horizontal momentum is reduced to zero.
Physics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

F = -2527.35 N

Explanation:

Given,

mass per unit time = 58.1 Kg/s

Speed of the water = 43.5 m/s

Final momentum = 0 kg/s

Force = Change in momentum

F = Final momentum - initial momentum

F = 0 - initial momentum

F = 0 -58.1\times 43.5

F = -2527.35 N

Hence, the Force exerted is equal to F = -2527.35 N

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Hydrogen/hydronium ion concentration
Valentin [98]

Answer:

Pure water is considered to neutral and the hydronium ion concentration is 1.0 x 10-7 mol/L which is equal to the hydroxide ion concentration. So the pH is the -log of the [hydronium ion].

Explanation:

Pure water is considered to neutral and the hydronium ion concentration is 1.0 x 10-7 mol/L which is equal to the hydroxide ion concentration. So the pH is the -log of the [hydronium ion].

5 0
4 years ago
An object moves at constant speed along a circular path in a horizontal plane, with the center at the origin. When the object is
guapka [62]

Answer:

a)Counterclockwise

b)ω=2 rad/s

Explanation:

Given that

Object at = --2 m

r= - 2 m

Velocity pf object V = - 4 m/s

We know that

\vec{V}=\vec{\omega }\times \vec{r}

r= - 2 i m

V= - 4 j m/s

- 4 j= ω x (- 2 i)

ω  should be in counter clockwise (k) to satisfy the above equation.

It means that the direction of object will in counter clockwise.

4 = ω x 2

ω=2 rad/s

So object velocity at 2 m will be 2 rad/s.

6 0
3 years ago
A charged particle enters into a uniform magnetic field such that its velocity vector is perpendicular to the magnetic field vec
Ugo [173]

Answer:

a circular path

Explanation:

In a magnetism field if a charged particle having a charge of magnitude '' enters  such that its velocity vector V is 90° to the direction of the magnetic field "B'', then it will experience a force, called Lorentz force F

F = V\times B

According to the property of cross-product, the Lorentz force (F) acting on the particle will be perpendicular to the instantaneous position of the particle, making the path of the particle to be a circular path.

3 0
3 years ago
A sphere of radius 0.081029 m is made of aluminum. It is submerged in flowing water with a temperature of 25 °C that results in
Dimas [21]

Answer:

its surface temperature = 54.84 ° C

Explanation:

The density of aluminium (\rho) = 2700 kg/m ³

Heat capacity ( c_p) = 897 J/Kg.K

radius of the sphere (r) = 0.081029 m

T \infty = 25 °C

T_i = 124.978  °C

time (t) = 767.276 s

Using the formula :

\frac{T-T_{ \infty} }{T_i - T_{\infty}}= e^{-\frac{hA}{\rho V c_p}}*t

where.

\frac{V}{A}= \frac{r}{3}

Replacing our values ;we have:

\frac{T-25 }{124.978 - 25}= e^{-\frac{-103.067*3}{2700*897*0.081029}}*767.276

\frac{T-25 }{124.978 - 25}= e^{{-0.001576}*767.276

\frac{T-25 }{124.978 - 25}= e^{-1.209}

\frac{T-25 }{99.978}= 0.2985

{T-25 }= 0.2985*{99.978}

{T-25 }= 29.843433

{T= 29.843433+25 }

{T= 54.843433

T ≅ 54.84 ° C

Therefore, its surface temperature = 54.84 ° C

6 0
4 years ago
*photo attached* The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.67 m and 1.01 m, respectivel
stiks02 [169]

(a) The speeds of the tips of both rotors; main rotor <u>178.3 m/s</u> and  tail rotor <u>218.4 m/s</u>.

(b) The speed of the main rotor is <u>0.52</u> speed of sound, and the speed of the tail rotor is <u>0.64</u> speed of sound.

<h3>Linear speed of main motor and tail rotor</h3>

v = ωr

where;

  • ω is the angular speed (rad/s)
  • r is radius (m)

v(main rotor) = (444 rev/min x 2π rad x 1 min/60s) x (0.5 x 7.67 m)

v(main rotor) = 178.3 m/s

v(tail rotor) = (4,130 rev/min x 2π rad x 1 min/60s) x (0.5 x 1.01 m)

v(tail rotor) = 218.4 m/s

<h3>Speed of the rotors with respect to speed of sound</h3>

% speed (main motor) = 178.3/343 = 0.52 = 52 %

% speed (tail motor) = 218.4/343 = 0.64 = 64 %

Thus, the speed of the main rotor is 0.52 speed of sound, and the speed of the tail rotor is 0.64 speed of sound.

Learn more about linear speed here: brainly.com/question/15154527

#SPJ1

5 0
2 years ago
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