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Answer:

50.93 m/s

199.5 kW

Explanation:

From the question, the nozzle exit diameter = 5 cm, Radius= diameter/2= 5cm/2= 2.5cm. we can convert it to metre for unit consistency= (2.5×0.01)=

0.025m

We can calculate the The cross sectional area of the nozzle as

A= πr^2

A= π ×0.025^2

= 1.9635 ×10^- ³ m²

From the question, the water is moving through the pipe at a rate of 0.1 m /s , then for the water to move through it at a seconds, it must move at

(0.1 / 1.9635 ×10^- ³ m²)

= 50.93 m/s

During the Operation of the pump, the Dynamic energy of the water= potential energy provided there is no loss during the Operation

mgh = 1/2mv²

We can make "h" subject of the formula, which is the height of required head of water

h = (1/2mv²)/mg

h= v² / 2g

h = 50.93² / (2 ×9.81)

h = 132.21m

From the question;

The total irreversible head loss of the system = 3 m,

the given position of nozzle = 3 m

the total head the pump needed=(The total irreversible head loss of the system + the position of the nozzle + required head of water )

=(3 + 3 + 132.21m)

=138.21m

mass of water pumped in a seconds can be calculated since we know that mass is a product of volume and density

Volume= 0.1m³

Density of sea water=1030 kg/m

(0.1 m^3× 1030)

= 103kg

We can calculate the Potential enegry, which is = mgh

= (103 ×9.81 × 138.21)

= 139651.5 Watts

= 139.65kW

To determine required shaft power input to the pump and the water discharge velocity

Energy= efficiency × power

But we are given efficiency of 70 percent, then

139651.5 Watts = 0.7P

=199502.18 Watts

P=199.5 kW

Therefore, the required shaft power input to the pump and the water discharge velocity is 199.5 kW

Answer:

48 seconds

Explanation:

Since S=d/t, plug in the known values and solve

0.25m/s=12m/t

0.25m/s*t=12m

t=12m/0.25m/s

t=48 seconds

Answer:

Their velocity after the collision is 1.2 m/s, to the right.

Explanation:

Given;

mass of the blue car, m₁ = 2 kg

initial velocity of the blue car, u₁ = 6 m/s

mass of the red car, m₂ = 3 kg

initial velocity of the red car, u₂ = 2 m/s

let the blue car moving to the right be in positive direction

also, let the red car moving to the left be in negative direction

Apply the principle of conservation of linear momentum for inelastic collision.

m₁u₁ - m₂u₂ = v(m₁ + m₂)

where;

v is their velocity after the collision

(2 x 6) - (3 x 2) = v(2 + 3)

12 - 6 = 5v

6 = 5v

v = 6/5

v = 1.2 m/s, to the right

Therefore, their velocity after the collision is 1.2 m/s, to the right.

Answer:

A : the colonists dumped tea in Boston Harbor

Answer:

c. Y

Explanation:

Newton's third law of motion states that action and reaction are equal and opposite. Hence for every action, there is an equal and opposite reaction.

Considering the system of forces shown in the image, W and Y are  opposite forces. When the driver slams on the brakes, he will be pushed forward towards the windscreen. The force Y exerted by the seat belt keeps him on the drivers seat by moving him backwards towards the seat.

answer:They are too close to the sun!

Explanation:Because Mercury is so close to the Sun and its gravity, it wouldn't be able to hold on to its own moon. Any moon would most likely crash into Mercury or maybe go into orbit around the Sun and eventually get pulled into it.Same with Venus!

The answer is A

Explanation:

Answer:

consistently working out and eating healthy i guess

Explanation:

Answer:

To have a strong body (not only visible muscles). Physically fit is to eat well also. Eat healthy more! Your body might not be packin, but it sure is strong!

Explanation:

Hope this Helps!

Have a great day!

:)

Using s= d/t

7.5 m per second

Answer:

[tex]\boxed {\boxed {\sf 4000 \ Newtons }}[/tex]

Explanation:

Force can be found by multiplying the mass by the acceleration.

[tex]F=m*a[/tex]

The mass of the roller coaster is 2000 kilograms and the acceleration is 2 meters per second squared.

[tex]m= 2000 \ kg \\a= 2 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 2000 \ kg * 2 \ m/s^2[/tex]

Multiply.

[tex]F= 4000 \ kg*m/s^2[/tex]

[tex]F= 4000 \ N[/tex]

The net force acting on the roller coaster is 4000 Newtons.

Answer:

time = 6.67secs

Explanation:

power = workdone( energy) / time

therefore :

Time = workdone / power

time = 500 / 75

time = 6.67secs

Answer:

[tex]\huge\boxed{196\:N}[/tex]

Explanation:

Mass and weight ain't the same thing. So, for calculating weight we would use Newton's 2nd Law of Motion i.e. Force = Mass × Acceleration.

According to question,

The mass is 20kg

Acceleration is 9.8 m/s^2

Putting the given values into the formula,

F = 20 × 9.8

F = 196N

So, the weight of the rock is 196 N

Hope it helps!<3

Answer:

a. v(1.8) = -3.14 m/s

b. [tex]v_{max} = 3.925\ m/s[/tex]

c. [tex]a_{max} = 3.08\ m/s^2[/tex]

Explanation:

a.

The speed of a particle executing simple harmonic motion is given by the following equation:

[tex]v(t) = -A \omega \ Sin(\omega t)[/tex]

where,

v = velocity = ?

A = Amplitude = 5 m

ω = angular frequency = [tex]\frac{2\pi}{Time Period} = \frac{2\pi}{8\ s}[/tex] = 0.785 s

t = time

First we find time at 3 m by using equation for displacement:

[tex]x = 3\ m = ACos(\omega t)\\Cos((0.785 rad/s)(t)) = \frac{3\ m}{5\ m}\\t(0.785\ rad/s) = Cos^{-1} (0.6)\\t = \frac{0.927\ rad}{0.785\ rad/s}\\t = 1.18 s[/tex]

Therefore,

[tex]v(1.8) = velocity at 3\ m = -A\omega Sin(\omega t)\\v(1.8) = -(5\ m)(0.785\ rad/s)Sin((0.785\ rad/s)(1.18\ s))\\[/tex]

v(1.8) = -3.14 m/s

c.

The maximum speed is given as:

[tex]v_{max} = A\omega\\v_{max} = (5\ m)(0.785\ rad/s)\\[/tex]

[tex]v_{max} = 3.925\ m/s[/tex]

The maximum acceleration is given as:

[tex]a_{max} = A\omega^2\\v_{max} = (5\ m)(0.785\ rad/s)^2\\[/tex]

[tex]a_{max} = 3.08\ m/s^2[/tex]

Answer:

because this is where Arctic air, cold fronts that have not been "weakened". As these fronts head further east, they sometimes lose their strength as they travel over more warm air.

Answer:

the ramp with 6 m length will be easier to work with.

Explanation:

the mechanical advantage of the ramp can be calculated to find out which ramp will be easier to work with. The ramp with greater mechanical advantage will be easier to work with. The formula for the mechanical advantage of ramp is given as follows:

[tex]M.A = \frac{L}{h} \\\\[/tex]

where,

M.A = Mechanical Advantage = ?

L = Length of Ramp

h = height of ramp = 3 m

FOR L =4 m:

[tex]M.A = \frac{4\ m}{3\ m}\\\\M.A = 1.33[/tex]

FOR L = 6 m:

[tex]M.A = \frac{6\ m}{3\ m}\\\\M.A = 2[/tex]

Since, the ramp with length 6 m has a greater mechanical advantage.

Therefore, the ramp with 6 m length will be easier to work with.

The second choice ramp with length of 6 m will make his work easier.

The given parameters;

The mechanical advantage of the each of the choices is calculated as follows;

First choice:

[tex]M.A = \frac{l_1}{h} \\\\M.A = \frac{4}{3} \\\\M.A = 1.333[/tex]

Second choice:

[tex]M.A = \frac{l_2}{h} \\\\M.A = \frac{6}{3} \\\\M.A = 2[/tex]

Thus, we can conclude that the second choice ramp with length of 6 m will make his work easier.

Learn more about mechanical advantage here:https://brainly.com/question/20487910

Answer:

WHY THE HE!! DO YOU HAVE B00BS AS YOUR

PIC

Explanation:

Answer:

Mass and Gravity

Explanation:

Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects and is inversely proportional to the square of the distance between them.

Answer:

Aaaaw noooo. :(

Explanation:

what did they say to u and what state do u live in. I will help u stand up to them. I have taken down many bullies before by using words. in fourth grade, my friend was getting bullied by the class, then yelled and stood up for her. they all fell silent and never bullied her, or any of my friends again. For whatever reason they bully u is probably d.u.m.b. which means they r really d.u.m.b. Also, U should try finding out a lot of personal info about them that they dont want anyone to know. also tell the principal. Is ur mom nice, or mean? if shes nice, she'll support u and fight for u, which means u should address

Answer:

You should stick up for yourself because if you don't then no one else will but im always here to talk to you if you need someone

Explanation:

Answer:

The Answer is A

Explanation:

Which scenario describes a transformation of thermal energy into chemical energy? You turn on the heater in your car. The UV light from the Sun causes a sunburn. The Sun's energy causes you to sweat.

Answer:

Well, Both Are For Sure Magnets! But electromagnets need to use electricity!

Explanation:

A Wendys Roast For You!

Answer:

Solids have a definite shape and volume, its particles vibrate slowly.

Liquids have no definite shape, the particles move randomly around its container, and they have a fixed volume.

Answer:

The ram has done more work because the rate at which the ram work is 1.6m/s and Hari is 1.1m/s

Answer:

d

Explanation:

Answer:

Earth absorbs heat from the sun.

Explanation:

This radiation is absorbed by greenhouse gases which then radiate energy into all directions including downwards and thereby trapping heat in the atmosphere.

Hope you have a good day :)

Answer:

u = 7.74 m/s and t = 1.82 s

Explanation:

Given that,

Harold threw a baseball 3 meters.

Harold is 2 meters tall.

The vertical distance = 3m

The final velocity at the maximum height is  0.

Let u is the initial velocity of the baseball. Using the first equation of motion to find it as follows :

[tex]v^2-u^2=2as[/tex]

Here, a = -g

[tex]v^2-u^2=-2gs\\\\u=\sqrt{2gs} \\\\=\sqrt{2\times 10\times 3} \\\\=7.74\ m/s[/tex]

He has thrown it with the speed of 7.74 m/s

Let t is the time taken by the ball to fall on the ground.

Harold is 2 meters tall. Using second equation of motion to find it.

u = -7.74 (as downward direction is taken as positive)

[tex]s=ut+\dfrac{1}{2}at^2\\\\2=-7.74t+5t^2\\\\t=1.82\ s[/tex]

Hence, this is the required solution.

Answer:500

Explanation:

If two forces are acting on an object in the same  direction, then they will add up and the net force will be the sum of their magnitudes. Thus, the net force on refrigerator is 500 N.

Force is an external agent acting on a body to deform it or to change it form the state of rest or motion. There are various kinds of forces, such as gravitational force, frictional force, magnetic force etc.

If two forces are acting on a on an object in the same  direction, then they will add up and the net force will be the sum of their magnitudes. If they are acting from the opposite directions, they will cancel each other in magnitude and and the net force will be the subtracted value.

Here, both Allison and fred pulls the refrigerator from the same direction and the net force is the sum of  forces by each person. Therefore, the net force here is 300 + 200 = 500 N.

To find more on net force, refer here:

https://brainly.com/question/18031889

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