Question

Heya!!!!
help please (it's easy)
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Answer 1

Given:

Pressure in a water pipe on the ground floor of a building is 10,000 Pa.

To find:

Pressure of water on 1st floor which is at a height of 3 metres.

Calculation:

General expression for pressure of a liquid column at a depth d is as follows:

$\boxed{ \sf{P = \rho \times g \times d}}$

• Here $\rho$ is density , "g" is gravity and "d" is depth.

Let the total height of building be h :

At ground floor:

$\therefore \: \rho \times g \times h = 100000$

$= > \: 1000 \times 10 \times h = 100000$

$= > \: 10000 \times h = 100000$

$= > \: h = 10 \: metre$

Now , the 1st floor is at a height of 3 metres , so it's depth from top floor is (10 - 3) = 7 metres.

Let pressure at 1st floor be P_(1):

$\therefore \: P_{1} = \rho \times g \times h_{1}$

$= > \: P_{1} = 1000 \times 10 \times (10 - 3)$

$= > \: P_{1} = 1000 \times 10 \times 7$

$= > \: P_{1} = 70000 \: Pa$

So, pressure at 1st floor is 70,000 Pascal.

Hope It Helps.

Answer 2

Answer:

Given:

Pressure in a water pipe on the ground floor of a building is 10,000 Pa.

To find:

Pressure of water on 1st floor which is at a height of 3 metres.

Calculation:

General expression for pressure of a liquid column at a depth d is as follows:

$</p><p>\boxed{ \sf{P = \rho \times g \times d}} </p><p>$

Here

$\rhoρ is density , "g" is gravity and "d" is depth.$

Let the total height of building be h :

At ground floor:

$\therefore \: \rho \times g \times h = 100000∴ρ×g×h=100000$

$= > \: 1000 \times 10 \times h = 100000=>1000×10×h=100000</p><p></p><p>= > \: 10000 \times h = 100000=>10000×h=100000</p><p></p><p>= > \: h = 10 \: metre=>h=10metre$

Now , the 1st floor is at a height of 3 metres , so it's depth from top floor is (10 - 3) = 7 metres.

Let pressure at 1st floor be P_(1):

$\therefore \: P_{1} = \rho \ \: P_{1} = 1000 \times 10 \times (10 - 3)=>P$

1

=1000×10×(10−3)

=

$> \: P_{1} = 1000 \times 10 \times 7=>P$

1

=1000×10×7

=

$> \: P_{1} = 70000 \: Pa=>P$

1

=70000Pa

So, pressure at 1st floor is 70,000 Pascal.

Hope It Helps.