Water is stored in a reservoir at an average vertical height of 350 m above the turbines of a hydroelectric power station. During a 7.0 hour period, 1.8 × 10^6 m3 of water flows down from the reservoir to the turbines. (a) The density of water is 1000 kg / m3. For this 7.0 hour period, calculate (i) the mass of water that flows from the reservoir to the turbines, find the mass
the gravitational potential energy transformed as the water flows to the turbines, find the energy
the maximum possible average output power.
find the power
Answer:
(a) (i) 1) The mass of the water is 1.8 × 10⁹ kg
2) The gravitational potential energy is 6.174 × 10¹² J
4) The energy given to the turbine by the falling water is 6.174 × 10¹² J
5) The maximum possible average output power is 245 MW
Explanation:
In the question we are required to convert the total initial potential energy, P.E., of the water to power
The given parameters are;
The height of the reservoir above the turbine, h = 350 m
The time duration the volume of water takes to flow, t= 7.0 hours
The volume of water that flows down from the reservoir, V = 1.8 × 10⁶ m³
The density of the water, ρ = 1000 kg/m³
(a) (i) Density = Mass/Volume
∴ Mass = Density × Volume
The mass of the water that flows down from the reservoir = m = V × ρ
By substituting the known values, we have
The mass of the water, m = 1.8 × 10⁶ m³ × 1000 kg/m³ = 1.8 × 10⁹ kg
2) The gravitational potential energy, P.E. = m × g × h
where;
m = The mass of the water = 1.8 × 10⁹ kg
g = The acceleration due to gravity = 9.8 m/s²
h = The height from which the water falls = 350 m
Which gives;
The gravitational potential energy,
P.E. = 1.8 × 10⁹ kg × 9.8 m/s² × 350 m = 6.174 × 10¹² J
The gravitational potential energy = 6.174 × 10¹² J
4) The energy given to the turbine by the falling water, E = The gravitational potential energy = 6.174 × 10¹² J
5) The maximum possible average output power, P = (Energy given to the turbine, E)/(Time taken to produce the energy = The time duration the water takes to flow, t)
The time duration the water takes to flow, t = 7.0 hours = 7 × 60 × 60 seconds = 25,200 seconds
∴ P = 6.174 × 10¹² J/(25,200 s) = 245,000,000 watts = 245 MW
Emilio pushes a 100 kg freshman with 200 N of force. How much is the freshman accelerated?
Explanation:
F = MA
200 = 100 * A
A = 200/100
A = 2m/sec^2
hope it helps youA cell phone weighing 80 grams is flying through the air at 15 m/s. What is its kinetic energy
Answer:
The kinetic energy of the cell phone is 9J
Explanation:
The kinetic energy is the energy possessed by a body by virtue of motion.
The kinetic energy is expressed as
KE= 1/2m(v)²
Given data
Mass of cell phone m= 80g--to kg=80/1000= 0.08kg
Velocity of cell phone v= 15m/s
Substituting our given data we have
KE= 1/2*0.08(15)²
KE= (0.08*225)/2
KE=18/2
KE= 9J
Josh is playing pool. During his shot, an orange billiard ball with a momentum of 165 g · m/s hits a green billiard ball at rest. After the collision, the orange billiard ball continues in the same direction with a momentum of 60 g · m/s. What is the momentum of the green ball right after the collision?
Answer:
105 g.m/s
Explanation:
The law of conservation of momemtum states that initial momemtum is equal to final momentum.
initial momentum of orange ball = 165 g.m/s
initial momentum of green ball = 0 g.m/s
final momentum of orange ball = 60 g.m/s
final momentum of green ball = x
165+0=60+x
⇒x = 165-60= 105 g.m/s
the momentum of the green ball right after the collision =105 g.m/s
A train leaves the station heading south on the tracks. It takes the train 5 seconds to reach 50 miles per hour. It completes the entire 100-mile trip in two hours. Calculate the train's average speed and velocity over the two-hour trip. Show your work. Identify if each of the measurements are a scalar or vector quantity
A brick, milk, and ice cubes are all examples of matter.
true because
brick: solid
milk: liquid
ice cube: solid
Does anyone know the answer
a ball has the speed of 4.0 m/s and a kinetic energy of 16 joules. what is the mass of the ball?
Explanation:
[tex]ke = \frac{1}{2} m {v}^{2} \\ m = \frac{2ke}{ {v}^{2} } \\ = \frac{2 \times 16}{ {4}^{2} } = 2kg[/tex]
Water has physical properties that can be
measured and
1. Identify the phase or phases of matter (solids, liquids, and gases) that
apply to each statement. More than one phase of matter may apply to each
statement.
a. Molecules do not move around, but vibrate in place
b. Has volume but no particular shape
c. Flows
d. Molecules break free of intermolecular forces
e. Does not have a volume or shape
f. Molecules can move around and switch places, but remain close
together
Answer:
a: solid
b: liquid
c: liquid
d: gas
e: gas
f: liquid
Explanation:
According to the forces of attraction, the states of matter in each case serially are as follows: solid, liquid,liquid,gas,gas and liquid respectively.
What is matter?Matter in chemistry, is defined as any kind of substance that has mass and occupies space that means it has volume .Matter is composed up of atoms which may or not be of same type.
Atoms are further made up of sub atomic particles which are the protons ,neutrons and the electrons .The matter can exist in various states such as solids, liquids and gases depending on the conditions of temperature and pressure.
The states of matter are inter convertible into each other by changing the parameters of temperature and pressure.Matter can neither be created nor destroyed rather is conserved at end of chemical change.
Learn more about matter,here:
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#SPJ2
(b)
On what factor does the mechanical advantage of a simple machine depend?
(a) N/m
B.
Very short answer questions,
1.
What is the principle of simple machine?
2.
3.
The efficiency of simple machine is 75%. What does it mean?
4.
S.
What is lever?
In how many classes is lever classified?
Write the name of a simple machine used to change the direction of force.
6.
0
Reliant Science - 9
Answer:
B. 1. The factors on which the mechanical advantage depends are the load, the effort, the distance moved by the load and the distance moved by the effort
2. The principle of a simple machine is the conversion of the direction and magnitude of a force input into one or more outputs of a either a different magnitude, or direction or both
3. A 75% efficiency of a simple machine means that the power of the frictional force is one quarter of the power of the input force
4. A lever is a simple machine that consists of a fulcrum over (or under) which a rigid beam can be applied
5. There are three classes of lever
6. A pulley
Explanation:
B. 1. For simple machines, we have the Ideal Mechanical Advantage, IMA, given as follows;
[tex]IMA = \dfrac{F_r}{F_e} = \dfrac{d_e}{d_r}[/tex]
Where;
[tex]F_r[/tex] = The resistance force (The load)
[tex]F_e[/tex] = The effort force
[tex]d_e[/tex] = The distance moved by the effort
[tex]d_r[/tex] = The distance the load is moved
Therefore, the factors on which the mechanical advantage depends are the load, the effort, the distance moved by the load and the distance moved by the effort
2. The principle of a simple machine is the conversion of the direction and magnitude of a force input into one or more outputs of a either a different magnitude, or direction or both
3. The mechanical efficiency of a simple machine, η, can be expressed as follows;
[tex]\eta =\dfrac{P_{out}}{P_{in}}[/tex]
Where;
[tex]P_{out}[/tex] = The power at output
[tex]P_{in}[/tex] = The input power
[tex]P_{in}[/tex] = [tex]P_{out}[/tex] + [tex]P_{friction}[/tex]
[tex]P_{friction}[/tex] = The frictional force's power
Therefore, an efficiency of 75% means that we have;
[tex]P_{out}[/tex] = η × [tex]P_{in}[/tex] = 0.75 × [tex]P_{in}[/tex] = 0.75·[tex]P_{in}[/tex]
From which we have;
[tex]P_{in}[/tex] = [tex]P_{out}[/tex] + [tex]P_{friction}[/tex] = 0.75·[tex]P_{in}[/tex] + [tex]P_{friction}[/tex]
∴ [tex]P_{friction}[/tex] = [tex]P_{in}[/tex] - 0.75·[tex]P_{in}[/tex] = 0.25·[tex]P_{in}[/tex]
Therefore, 75% efficiency of a simple machine means that the power of the frictional force is 0.25 × (or one quarter of) the power of the input force
4. A lever is a simple machine that consists of a fulcrum over (or under) which a rigid beam can be applied
5. There are three classes of lever
(a) First class lever (b) Second class lever and (c) Third class lever
6. A pulley
A pulley acts by lifting a load upward from a downward applied force.
Explanation:
B. 1. The factors on which the mechanical advantage depends are the load, the effort, the distance moved by the load and the distance moved by the effort
2. The principle of a simple machine is the conversion of the direction and magnitude of a force input into one or more outputs of a either a different magnitude, or direction or both
3. A 75% efficiency of a simple machine means that the power of the frictional force is one quarter of the power of the input force
4. A lever is a simple machine that consists of a fulcrum over (or under) which a rigid beam can be applied
5. There are three classes of lever
6. A pulley
Explanation:
B. 1. For simple machines, we have the Ideal Mechanical Advantage, IMA, given as follows;
IMA = \dfrac{F_r}{F_e} = \dfrac{d_e}{d_r}IMA=
F
e
F
r
=
d
r
d
e
Where;
F_rF
r
= The resistance force (The load)
F_eF
e
= The effort force
d_ed
e
= The distance moved by the effort
d_rd
r
= The distance the load is moved
Therefore, the factors on which the mechanical advantage depends are the load, the effort, the distance moved by the load and the distance moved by the effort
2. The principle of a simple machine is the conversion of the direction and magnitude of a force input into one or more outputs of a either a different magnitude, or direction or both
3. The mechanical efficiency of a simple machine, η, can be expressed as follows;
\eta =\dfrac{P_{out}}{P_{in}}η=
P
in
P
out
Where;
P_{out}P
out
= The power at output
P_{in}P
in
= The input power
P_{in}P
in
= P_{out}P
out
+ P_{friction}P
friction
P_{friction}P
friction
= The frictional force's power
Therefore, an efficiency of 75% means that we have;
P_{out}P
out
= η × P_{in}P
in
= 0.75 × P_{in}P
in
= 0.75·P_{in}P
in
From which we have;
P_{in}P
in
= P_{out}P
out
+ P_{friction}P
friction
= 0.75·P_{in}P
in
+ P_{friction}P
friction
∴ P_{friction}P
friction
= P_{in}P
in
- 0.75·P_{in}P
in
= 0.25·P_{in}P
in
Therefore, 75% efficiency of a simple machine means that the power of the frictional force is 0.25 × (or one quarter of) the power of the input force
4. A lever is a simple machine that consists of a fulcrum over (or under) which a rigid beam can be applied
5. There are three classes of lever
(a) First class lever (b) Second class lever and (c) Third class lever
6. A pulley
A pulley acts by lifting a load upward from a downward applied force.
Why aren’t all the islands of Hawaii the same age?
Answer:
The age trend of the volcanoes is thought to be due to the way in which the islands are built on the moving sea floor of the North Pacific Ocean: the Pacific Ocean is mostly floored by a single tectonic plate (known as the "Pacific Plate") that is moving over the layer in the Earth known as the Asthenosphere
Explanation:
what material would you use to build countertops
Answer: Natural stone
Explanation:
Answer:
Natural stone
Explanation:
The most common natural stones used to make countertops include granite, marble, soapstone, and slate.
Question 3 of 10
Which law is stated below?
The acceleration of an object is proportional to the force applied to it and
inversely proportional to its mass.
A. The law of inertia
B. Newton's first law
C. Newton's third law
D. Newton's second law
Answer:
D. Newton's second law
Explanation:
Newton's second law of motion states that force of an object is a product of its mass and its acceleration.
Mathematically, F= ma where m is mass and a is acceleration
So from the statement above : The acceleration of an object is proportional to the force applied to it and inversely proportional to its mass , it can be seen from the formula variation as;
F= ma -----making a the subject of the formula
a= F/ m
a= 1/m * F --------- a is inversely related to m as you can see from 1/m but directly related to F hence;
Increase in mass with the same force applied causes the body to accelerate slower where as when force increases, the body accelerates faster.
The electric field between two parallel plates has a magnitude of 180 N/C. The two plates are 2.5 cm apart. Recall that the magnitude of the charge on an electron is 1.602 × 10-19 C.
How much work is done to move an electron from the positive plate to the negative plate?
4.0 × 10-21 J
7.2 × 10-19 J
4.5 J
7200 J
Answer:
b
Explanation:
The amount of work done to move an electron from the positive plate to the negative plate is : 7.2 * [tex]10^{-19}[/tex] J
Step 1: Given data
magnitude of two parallel plate ( E ) = 180 N/C
Distance between plates ( d ) = 2.5 cm
magnitude of charge on electron ( e ) = [tex]1.602 * 10^{-19}[/tex] C
Step 2 : determine the work done
Work done = qV = еEd
= [tex]1.602 * 10^{-19}[/tex] * 180 * 2.5
= 720 * [tex]10^{-22}[/tex] J ≈ 7.2 * [tex]10^{-19}[/tex] J
Hence the amount of work done to move an electron from the positive plate to the negative plate = 7.2 * [tex]10^{-19}[/tex] J
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H+ H+He
A. alpha decay
B. beta decay
C. nuclear fusion
D. nuclear fission
Help
Answer:
c. nuclear fusión oh A. alpha decay
A motorcycle skids to a stop on a road.
What is the equal and opposite force for the force of the motorcycle's friction pushing on the road as
described by Newton's third law?
Choose 1 answer:
Normal force of the road pushing up on the motorcycle
B
Earth's force of gravity pulling down on the motorcycle
Friction of the road on the motorcycle in the opposite direction
D
Motorcycle's force of gravity pulling up on the Earth
Answer:
Friction of the road on the motorcycle in the opposite direction
Explanation:
khan academy
how would something make more energy in order to travel farther and faster
Answer:
hit it harder
Explanation:
Endicott Kendrick
a set of related measures or activities with a particular long term aim
Answer:
program explanation
Explanation:
program explanation
The set of activities having a long-term aim should be a program.
What is the program?A program refers to a set of instructions that a computer follows in order to perform a specific task. At the time When you program a computer, you provide it a set of instructions to make it able to perform a particular task.
So here the program should be considered.
Learn more about activities here:https://brainly.com/question/16636072
an iron rod of length 100m at 10 degree Celsius is used to measure a distance of 2km on a day when the temperature is 40 degree Celsius. Calculate the error in measuring the distance
Answer:
0.68 m
Explanation:
α = dL / L1*(dT)
dL = L1(dT) * α
Initial length, L1 = 100
Chang in Length =dL
α linear expansivity ; dL = change in length ; dT = change in temperature ; L1 = initial length
α of iron rod = 1.13 * 10^-5 k
dL = 100(40 - 10) * 1.13 * 10^-5
dL = 100(30) * 1.13 * 10^-5
dL = 3000 * 1.13 * 10^-5
dL = 3390 * 10^-5
dL = 0.0339 m
Error :
Distance measured = 2km = (2 * 1000) = 2000m
[Distance measured / (initial length + change in length)] × change in length
Error = (2000 / (100 + 0.0339)) * 0.0339
Error = (2000 / 100.0339) * 0.0339
Error = 19.993222 * 0.0339
Error = 0.6777702
Error = 0.68 m
please help, brainest if correct
Answer: B
Its b increased risk of disease
Fill the blank.
Energy is ____ changing from one form to another in the world.
Answer:
Matter
Explanation:
An 82 kg man, at rest, drops from a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does the water exert on him?
Answer:
1626.4 N
Explanation:
Given that a 82 kg man, at rest, drops from a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does the water exert on him?
The parameters to be considered are:
Distance S = 3m
Time t = 0.55s
Since the man started from rest, initial velocity u = 0
Using second equation of motion
S = Ut + 1/2at^2
3 = 1/2 × a × 0.55^2
3 = 1/2 × a × 0.3025
a = 3/ 0.15125
a = 19.83 m/s^2
Force = mass × acceleration
Force = 82 × 19.83
Force = 1626.4 N
Therefore, the force that water exerted on him is 1626.4 N
What causes wind to follow patterns
Answer: Wind follows a pattern because the Earth is spinning in one motion. If we were spinning in one way then another we would have one day go by then the spinning cycle would change and we would have to go through that day all over again, it would not be logical because then we would be in the same season as well, we would be in one season for the rest of our lives until we died.
I don't know if this was helpfull or not but I hope it was somewhat close to helpful? If it is not then please do not report this, I am sorry if this was the least bit helpful.
HAVE A NICE DAY! :)
Hooke's Law Question - Will mark brainliest
A spring of natural length 10cm and spring constant 4.00Ncm −1 has a load of 22.0N placed on it. What is its new length?
Explanation:
Hooke's Law: Fe = kx
x = Fe / k = (22.0N) / (4.00N/cm) = 5.50cm.
10.00cm + 5.50cm = 15.50cm
The new length of the spring is 15.50cm.
Can someone help me please
pls someone help me
Answer:
Can't see the pic
Explanation:
a skydiver has a mass of 50.5 kg what is the force of weight on the sky diver?
F= _N
Answer:
The answer is 494.9 N
Explanation:
I got this same question, and it worked for me! Hope this helps <3
When a wire with a current is placed in a magnetic field, electrical energy is transformed into mechanical energy
Please select the best answer from the choices provided
T
F
Answer:
TRUE
Explanation:
When a wire with a current is placed in a magnetic field, electrical energy is transformed into mechanical energy. The transformation happens when the magnetic field produced by the current causes the wire to move.
25 POINTS!!!
Copy this concept map, and then use vocabulary terms from the previous page to complete the concept map.
VOCAB
Mechanical wave
Electromagnetic wave
Transverse wave
Longitudinal wave
Frequency
Amplitude
Refraction
Radio wave
Infrared wave
Ultraviolet wave
Transparent
Translucent
Opaque
Intensity
Compression
Rarefaction
Pitch
Decibel