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Oksi-84 [34.3K]
2 years ago
11

A pump is to lift 18 kg of water per minute tthrough a height of 3.6 m. what output rating (watts) should the pump have?

Physics
1 answer:
MrRa [10]2 years ago
7 0
Given: Mass m = 18 Kg;   Height h = 3.6 m;   Time t = 60 s

Required:  Power output  in unit of Watts

Formula: P = mgh/t

               P = (18 Kg)(9.8 m/s²)(3.6 m)/60 s

               P = 10.58 J/s or Watts  


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Explanation:

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7 0
3 years ago
A long solenoid, of radius a, is driven by an alternating current, so that the field inside is sinusoidal: B(t) B cos(ot)ż. A ci
Scrat [10]

Answer:

The current induced in the loop is \dfrac{\pi a^2 B\omega}{4R}\ \sin(\omega t).

Explanation:

Given that,

Magnetic field B(t)=B\cos(\omega t)\ z

Radius r =\dfrac{a}{2}

Resistance =R

We need to calculate the area of the loop

Using formula of area

A = \pi r^2

Put the value of r in to the formula

A =\pi\times(\dfrac{a}{2})^2

A=\dfrac{\pi a^2}{4}

We need to calculate the flux

Using formula of flux

\phi=BA

\phi=B\cos(\omega t)\dfrac{\pi a^2}{2}

We need to calculate the emf

Using formula of emf

\epsilon=-\dfrac{d\phi}{dt}

\epsilon=-\dfrac{-\pi a^2B}{4}(-\omega\sin\omega t)

\epsilon=\dfrac{\pi a^2B\omega\sin(\omega t)}{4}

We need to calculate the current

Using formula of current

I(t)=\dfrac{\epsilon}{R}

I(t)=\dfrac{\dfrac{\pi a^2B\omega\sin(\omega t)}{4}}{R}

I(t)=\dfrac{\pi a^2 B\omega}{4R}\ \sin(\omega t)

Hence, The current induced in the loop is \dfrac{\pi a^2 B\omega}{4R}\ \sin(\omega t).

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Tom and his twin brother Tim have a combined mass of 200.0 kg and are
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2 years ago
Two spherical inflated rubber balloons each have the same amount of charge spread uniformly on their surfaces. If the repelling
nataly862011 [7]

Answer:

5.0\cdot 10^{-6}C

Explanation:

The magnitude of the electrostatic force between two charged objects is given by Coulomb's law:

F=k\frac{q_1 q_2}{r^2}

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k=8.99\cdot 10^9 Nm^{-2}C^{-2} is the Coulomb's constant

q_1, q_2 are the two charges  on the two objects

r is the separation between the two charges

The force is:

- Repulsive if the two charges have same sign

- Attractive if the two charges have opposite sign

In this problem:

F = 2.5 N is the force between the two balloons

r = 0.30 m is their separation

q_1=q_2=q is the charge on each balloon (they have the same charge)

So, re-arranging the equation, we can find the value of q:

F=\frac{kq^2}{r^2}\\q=\sqrt{\frac{Fr^2}{k}}=\sqrt{\frac{(2.5)(0.30)^2}{8.99\cdot 10^9}}=5.0\cdot 10^{-6}C

We are also told that the force between them is repulsive: this means that the charges on the two balloons have  same sign (so, either they are both positive, or both negative).

4 0
3 years ago
A light-year is about: 6 million miles 6 million kilometers 6 billion miles 6 trillion miles
vazorg [7]

Answer: 6 trillion miles

Explanation: 1 light-year = 6 trillion miles

7 0
2 years ago
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