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PtichkaEL [24]
3 years ago
5

Solve the equation 3x^2+8x+5=0

Physics
1 answer:
Pachacha [2.7K]3 years ago
4 0
3x^2+8x+5=0\\
3x^2+3x+5x+5=0\\
3x(x+1)+5(x+1)=0\\
(3x+5)(x+1)=0\\
x=-\dfrac{5}{3} \vee x=-1
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In rural areas, water is often extracted from underground by pumps. Consider an underground water source whose free surface is 6
stealth61 [152]

Answer:

W = 9533.09 Watt

Explanation:

given,

diameter of pipe inlet, d₁ = 10 cm

                                      r₁ = 5 cm

diameter of pipe outlet, d₂ = 15 cm

                                      r₂= 7.5 cm

head upto water level is to rise = 60 + 5

                                          = 65 m

flow rate = 0.015 m³/s

we know

A₁ v₁ = A₂ v₂ = Q  

 π r₁² v₁ = π r₂² v₂  = 0.015

 v_1= \dfrac{r_2^2}{r_1^2} v_2

 v_1= \dfrac{7.5^2}{5^2} v_2

 v_1= 2.25 v_2

 v_2 = \dfrac{0.015}{\pi r_2^2}

 v_2 = \dfrac{0.015}{\pi 0.075^2}

    v₂ = 0.848 m/s

    v₁ = 1.908 m/s

Applying Bernoulli's equation

 P_p = \dfrac{1}{2}\rho (v_2^2-v_1^2)+ \rho g h

 P_p= \dfrac{1}{2}\times 1000\times (0.848^2-1.908^2)+ 1000\times 9.8\times 65

 P_p= 635539.32 Pa

 P_p is the pump pressure

Power of the pump

W = P_p x Q

W = 635539.32 x 0.015

W = 9533.09 Watt

6 0
4 years ago
Why are hurricanes considered more damaging than tornadoes when tornadoes have stronger winds
chubhunter [2.5K]

-- A tornado follows a path that's a few miles wide, for a few hours.
   Then it's all over.

-- A hurricane follows a path that's several hundred miles wide,
   for a week or two, before it's over.
   Then comes the rain, continuing on the same path, for another week.

8 0
3 years ago
Read 2 more answers
Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed. inside the sphere. Where should
Elanso [62]
I think you forgot to give the options along with the question. I am answering the question based on my knowledge and research. "<span>The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere" gives the answer to the question. I hope that this answer has come to your help.</span>
5 0
3 years ago
Plz HELP
zubka84 [21]
The 2nd has the most porosity

Infiltration

That's all I can answer for you. Hope it helps
3 0
4 years ago
Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, t
zmey [24]

Answer:

+0.231 m/s

Explanation:

The problem can be solved by using the law of conservation of momentum. In fact, we have that the total momentum before the collision must be equal to the total momentum after the collision:

p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1 + m_2)v

where we have

m1 = 245000 kg is the mass of the first car

m2 = 57500 kg is the mass of the second car

u1 = 0.513 m/s is the initial velocity of the first car

u2 = -0.125 m/s is the initial velocity of the second car

v = ? is the final velocity of the two cars together, after the collision

Solving the equation for v, we find

v=\frac{m_1 u_1 + m_2 u_2}{m_1 +m_2}=\frac{(245000 kg)(0.315 m/s)+(57500 kg)(-0.125 m/s)}{245000 kg+57500 kg}=+0.231 m/s

And the direction (positive sign) is the same as the initial direction of the first car.

8 0
4 years ago
Read 2 more answers
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