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Natalija [7]
3 years ago
10

A pool is to be filled with 60 m3 water from a garden hose of 2.5 cm diameter flowing water at 2 m/s. Find the mass flow rate of

water and the time it takes to fill the pool
Physics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

Time= 6.12*10^4s

mass flow rate m=0.98kg/s

Explanation:

Given

Volume= 60m^3

diamter= 2.5cm= 0.025m

radius= 0.0125m

area A= πr^2

area A= 3.142*0.0125^2

area A= 4.9*10^-4m^2

the velocity of the flow 2m/s

<u>volume flow rate </u>

V=vA

V=2* 4.9*10^-4

V=9.82*10^-4 m^3/s

<u>Time taken to fill the pool</u>

time= volume/volume flow rate

time= 60/9.82*10^-4

time= 6.12*10^4s

<u>Mass flow rate </u>

m= density *volume flow rate

Assuming the density of water to be 997kg/m^3

m= 997*9.82*10^-4

m=0.98kg/s

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Answer:

22050 J

Explanation:

Given Mass of the ball, m = 4.5 Kg

Height, h =500 m

Acceleration due to gravity, g= 9.8m/s^{2}

To calculate the potential energy we use formula,

PE = mgh

Substituting the given values, we get

PE = 4.5× 9.8×500

    =22050 J

8 0
3 years ago
A family leaves home at 1:00pm and arrives at their vacation spot 200 miles away at 5:00pm on the same day. What is their averag
Shkiper50 [21]
The answer is 40 because you just have to do 200 divided by 5
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Which statement best describes the energy changes that occur while a child is riding on a sled down a steep, snow-covered hill?
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B. kinetic energy increases and potential energy decreases
5 0
4 years ago
A motor spins up the flywheel with a constant torque of 50 n⋅m. how long does it take the flywheel to reach top speed?
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A motor spins upward the flywheel with a persistent torque of 50N⋅m.

What time does it take the flywheel to get to the top speed?
From the equation: 
Tj = J*dω/dt 


you can get the two equations: 
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6 0
4 years ago
A student put her ear on one end of a long piece of lead. She asked her friend to
Ludmilka [50]

1) The length of the lead is 1700 m

2) The frequency of the wave is 400 Hz

Explanation:

1)

The wave in this problem is a sound wave, which is produced by the vibrations of the particles of air. It is a type of longitudinal wave (which means that the vibrations occur back-and-forth along the direction of propagation of the wave).

The speed of a sound wave in air is approximately

v = 340 m/s

In this problem, the sound wave is heard after a time of

t = 5 s

after the shot. Therefore, the distance travelled by the wave in this time (and therefore, the length of the lead) is

d=vt=(340)(5)=1700 m

2)

The frequency of a wave is the number of complete cycles made by the wave in one second.

For the wave in this problem, we are told that the wave has 2000 whole wavelengths in 5 seconds: this means that the wave completes 2000 cycles in 5 seconds. Therefore, we can find the frequency by setting up the following proportion:

\frac{2000}{5}=\frac{x}{1}

where x is the number of cycles made in 1 second. Solving for x,

x=\frac{2000\cdot 1}{5}=400 s^{-1}

Therefore, the frequency of the wave is

f=400 Hz

Learn more about waves and frequency:

brainly.com/question/5354733

brainly.com/question/9077368

#LearnwithBrainly

7 0
4 years ago
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