Can someone help please I will give brainliest

Water from a vertical pipe emerges as a 10-cm-diameter cylinder and falls straight down 7.5 m into a bucket. The water exits the

cupoosta [38]

The diameter of the column of the water as it hits the bucket is 4.04 cm

The equation of continuity occurs in the fluid system and it asserts that the inflow and the outflow of the volume rate at the inlet and at the outlet of the system are equal.

By using the kinematics equation to determine the speed of the water in the bucket and applying the equation of continuity to estimate the diameter of the column, we have the following;

Using the kinematics equation:

$\mathbf{v_f ^2 = v_i^2 + 2gh}$

$\mathbf{v_f ^2 =(2.0)^2 + 2\times 9.8 \times 7.5}$

$\mathbf{v_f ^2 =151 m/s}$

$\mathbf{v_f =\sqrt{151 m/s}}$

$\mathbf{v_f =12.29 \ m/s}$

From the equation of continuity:

$\mathbf{A_iV_i = A_fV_f}$

$\mathbf{\pi r^2_iV_i = \pi r^2_fV_f}$

$\mathbf{ r^2_iV_i = r^2_fV_f}$

$\mathbf{ (\dfrac{10}{2})^2\times 2.0 = r_f^2 \times 12.29}$

$\mathbf{ 50 = 12.29 \times r_f^2}$

$\mathbf{ r_f= \sqrt{\dfrac{50}{12.29} }}$

$\mathbf{ V_f= 2.02 \ cm }$

Since diameter = 2r;

∴

The diameter of the column of the water is:

= 2(2.02) cm

= 4.04 cm

Learn more about the equation of continuity here:

brainly.com/question/10822213

6 0

2 years ago

A race car circles 10 times around a circular 8.0-km track in 20 min.

Otrada [13]

Find the average speed and the average velocity.

Average speed = distance / time

distance = 10 x 8000 m = 80,000 m
time = 20 min * 60 s/min = 1200 s

Average speed = 80,000 m / 1200 s = 66.67 m/s

Average velocity = displacement / time

Given that the race car made complete circles the final poin is the same initial point, then its displacement is zero and the average velocity is zero too.

6 0

3 years ago

Read 2 more answers

An object traveling in a straight line accelerates. What will definitely happen due to the acceleration?

Damm [24]

"Acceleration" means any change in the speed or direction of motion ... speeding up, slowing down, or turning. So . . .

<span>-- </span><span>The distance traveled in a certain time may increase or decrease.

-- The displacement covered in a certain time may increase or decrease.

-- The speed of the object may increase or decrease.

-- The velocity of the object (speed/direction) will change.
</span>
Hope this helps..

7 0

3 years ago

Read 2 more answers

If f(x) = x2 - 3x + 1 and f(2 a) = 2f(a) then a is equal to

loris [4]

For these question, it has two separate equations: 2f(a) and f(2a) .

For f(2a) equations its x=2a, so you must substitute 2a into the f(x) equation

For 2f(a), it means the two time of f(a) equation with x=a, so you substitute a inti f(x) equation first, then you multiply it by 2.

5 0

3 years ago

Government create public policy to address issues in what three main areas?

kotykmax [81]

Answer:

Economic
Foreign
Social

Explanation:

-Governments create public policy to address issues in social, economic, and foreign relations.

-This policy model solves all the related problems effectively while supporting and serving the government’s policies.

-The characteristics of Public Policy may include:

A response to some crisis or issue that requires attention.
Aims at achieving certain development goals or solution to a problem.
Public policy is carried or done on behalf of a country's citizenry.

4 0

2 years ago