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Naddika [18.5K]
3 years ago
7

A pump lifts 260 kg of water per hour a height of 3.5 m . What is the minimum necessary power output rating of the water pump in

watts? Express your answer using two significant figures.
Physics
1 answer:
Phantasy [73]3 years ago
7 0

Answer:

2.5 Watts.

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 260 Kg

Time (t) = 1 h

Height (g) = 3.5 m

Power (P) =.?

Next, we shall determine the energy. This can be obtained as follow:

Mass (m) = 260 Kg

Height (g) = 3.5 m

Acceleration due to gravity (g) = 10 m/s²

Energy (E) =?

E = mgh

E = 260 × 10 × 3.5

E = 9100 J

Finally, we shall determine the power. This can be obtained as follow:

Time (t) = 1 h = 3600 s

Energy (E) = 9100 J

Power (P) =.?

P = E/t

P = 9100 / 3600

P = 2.5 Watts

Thus, the power is 2.5 Watts.

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Answer:

F_2=2.43\times10^{-19}\ N

\theta=21.496^{\circ} in the anticlockwise direction from the positive x- axis.

Explanation:

Given are the masses of various spheres with their names in subscript:

  • m_A=200\ kg
  • m_B=250\ kg
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  • m_D=100\ kg

Now their respective coordinate positions (in cm) are as given below:

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<u>Now force on B due to A:</u>

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F_{BA}=20G\ N

<u>Now force on B due to C:</u>

F_{BC}=G\times \frac{1700\times 250}{80^2}

F_{BC}=66.406G\ N

<u>Now force on B due to D:</u>

F_{BD}=G\times \frac{100\times 250}{40^2}

F_{BD}=15.625G\ N

<em>We observe that the forces due to masses  C&D act opposite in direction.</em>

<u>So, the net force in the x-direction:</u>

F_x=F_{BC}-F_{BD}

F_x=66.406G-15.625G

F_x=50.781G\ N in the positive x-direction

<em>We have only one force in y-direction due to mass A.</em>

So,

F_y=20G\ N in the positive y-direction.

<u>Now the net force:</u>

F_2=\sqrt{F_y^2+F_x^2}

F_2=\sqrt{(20G)^2+(50.781G)^2}

F_2=54.5776G^2\ N

F_2=2.43\times10^{-19}\ N

<u>Now the direction of this force with respect to x-axis:</u>

tan\ \theta=\frac{F_y}{F_x}

tan\ \theta=\frac{20G}{50.781G}

\theta=21.496^{\circ} in the anticlockwise direction from the positive x- axis.

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