The change in internal energy of a system is - 5290×10⁴J.
What do you mean by internal energy?Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.
Heat transfer into the system Q₁ = 4.23×10⁶J
Heat transfer out of the system Q₂ = 9.07× 10⁶J
Work done W = 4.50×10⁵J
The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.
Q = Q₁ - Q₂
Q = 4.23×10⁶ - 9.07× 10⁶
Q = -4.84× 10⁶J
The first law of thermodynamics provides the following formula for the change in internal energy:
ΔU = Q - W
ΔU = -4.84× 10⁶ - 4.50×10⁵
ΔU = - 5290×10⁴J.
A negative sign indicates a decrease in internal energy.
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A(n) __________________ solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.
A(n) active solar system makes use of a secondary medium, such as water, to collect and convey the energy of the sun. Like passive systems, these are often used for heating buildings.
Active solar systems actively circulate a fluid medium, typically water or a heat-transfer fluid, between solar collectors and the building or storage system using mechanical equipment like pumps or fans. The fluid is circulated to provide room heating, water heating, or other heating applications once the solar collectors transfer the energy from the sun to it.
Active solar systems are those that employ solar collectors to heat water that is then circulated via pipes to produce hot water for residential usage or space heating. These systems can be used to heat buildings.
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Someone please help I’ll be so grateful with one paragraph I don’t know how to begin…..
In this question you will be
assessed on using good English, organising information clearly and using
specialist terms where appropriate.
The table below shows some information about a new planet; Pegasi b, and Earth
Peg. Earth
Distance from the star| 7.7. 150
Time to orbit the sun|. 4. 365
Time to spin once on axis| 4. 1
Tilt of axis|. 79. 23.5
Write a guide to the new planet comparing it to earth and other planets in
the solar system and if it is possible to live there.
Answer:
Explanation:
Welcome to Pagasi b, new recruit. You will enjoy your new, fresh , home planet. Your new home world is more relaxed than earth, days are longer by about quadruple, as are the nights. Also seasons are also about 4 times as long on Pagasi b. one year on Pagasi b is a bit over 4 years on earth. You'll get great harvests and plenty of time to rest up during the mild, yet cool winters. If the equatorial region is too warm for you during summer you can always travel north as the planet is at a 79 degree axis tilt , and will provide much cooler climes as you travel north for summers. Have a great day, day, day, day :P
I'LL MARK YOU BRAINLIST !!!!!!!!!!!!
Answer:
d. collection of photo.....
Mitosis can sometimes result in mutations, which can be repaired?
True or False
Answer:
True
Explanation:
Mitosis is the process of cell division that produces two identical daughter cells. Occasionally mutations can occur during DNA replication or the other stages of mitosis. However, cells have mechanisms for DNA repair that can correct these mutations, ensuring the integrity of the genetic material.
The blue, hotter stars tend to have shorter lifetimes than the red, cooler stars.
true
false
Answer:
A. True
Explanation:
edge 2022
The blue, hotter stars tend to have shorter lifetimes than the , cooler stars; this is a true fact as the lifespan of a star is determined by its mass. Blue, hotter stars have higher masses than red, cooler stars.
What is the lifespan of a star?The lifespan of a star is largely determined by its mass because a star's mass affects its internal pressure, temperature, and nuclear fusion rate, and more massive stars have stronger gravitational forces, which lead to higher pressures and temperatures in their cores. The rate of nuclear fusion reactions in a star determines how quickly it consumes its fuel, which in turn affects the lifespan of the star. Blue, hotter stars have a higher rate of nuclear fusion reactions and consume their fuel much more quickly than red, cooler stars.
Hence, the blue, hotter stars tend to have shorter lifetimes than the redder, cooler stars.
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A Martian rover found an interesting rock that could contain signs of what Mars was like long ago. It grabbed
it with its rover arm and raised it to a height of 0.2 m. Then it dropped it and found that it had a kinetic
energy of 12 J when it struck the ground. Note that Mars has an acceleration due to gravity of 3.77 m/s2.
Complete the following equations to determine the rock's potential energy if it were brought to earth and
dropped from a height of 1 meter. Use what you know about calculating gravitational potential energy to
correctly set up and solve the equation.
PE- m
XH
- PE
Answer:
It would be PE=16kg * 9.8 m/s^2 * 1m = 160 J
Explanation:
The person who asked this question ended up answering his own question so I'm here to let you know all that the answer was founded by the person whos posted the question himself full credit goes to him :)
Sudhir walks 0.40 km in a direction 60.0° west of north, then goes 0.50 km due west. What is his displacement?
Answer:
The displacement of Sudhir is 0.781 km.
Explanation:
Given;
initial distance, d₁ = 0.4 km = 400 m, N60.0°W
final distance, d₂ = 0.5 km
Make a sketch of Sudhir motion to form a right angled triangle;
(Check image uploaded).
Apply cosine rule to determine d "displacement"
d² = 500² + 400² - (2 x 500 x 400 x cos 120)
d² = 410,000 - (400,000 x -0.5)
d² = 410,000 - (-200,000)
d² = 410,000 + 200,000
d² = 610,000
d = √610000
d = 781.03 m
d = 0.781 km
Therefore, the displacement of Sudhir is 0.781 km.
Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)
Observer A and Observer B are both stationary and at the same distance from the object.
Observer A and Observer B are both stationary and at the same distance from the object.
Observer A is stationary and Observer B is moving.
Observer A is stationary and Observer B is moving.
Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are stationary but at different distances from the vibrating object.
We want to explain why two different observes may measure different frequencies for the same vibrating object.
We will see that the two correct options are:
Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.Let's assume that the vibrating object is a guitar string. Thus, the string makes a noise, and from that noise, we can estimate the frequency at which the string vibrates.
Now there appears a really cool effect, called the Doppler Effect. It says that the apparent change of frequency is due to the motion of the observer or the source of the frequency (or both).
For example, if you move towards the vibrating string, the perceived frequency will be larger, and you will hear a "higher" sound.
While if you move away from the string, the opposite happens, and you will hear a "lower" sound.
Then the only thing that impacts in how we perceive the frequency is our velocity relative to the source.
So, why do observers A and B measure different frequencies?
The two correct answers are:
Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.If you want to learn more, you can read:
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Your Answers for Redshift and Blueshift Quick Check are down here ↓
Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)
Observer A is stationary and Observer B is moving. * A = yes
Observer A and Observer B are moving at different speeds relative to each other. * B = yes
Observer A and Observer B are stationary but at different distances from the vibrating object. No
Observer A and Observer B are both stationary and at the same distance from the object. No
Why do scientists observe blueshift in certain stars?(1 point)
Light wave frequencies increase as an object moves toward the observer. * A = yes
Stars with lower temperatures emit more light waves at the blue end of the spectrum. No
Light wave frequencies decrease as an object moves toward the observer. No
Stars with higher temperatures emit more light waves at the blue end of the spectrum. No
When will a scientist observe redshift in the spectrum of a distant space object?(1 point)
when the object is stationary. No
when the object is moving toward the scientis. No
when the object is moving away from the scientist * C = yes
when the object is in the same frame of reference as the scientist. No
Hope this helps :) . Your Welcome, and Hope you guys are doing good in school!!
A long, horizontal wire Ab rests on the surface of a table and carries a current I. A horizontal wire CD is vertically above wire AB , and is free to slide up and down on the two vertical metal guides C and D ( as shown in Fig) .Wire CD is connected through the sliding contacts to another wire that also carries a current I , opposite in direction to the current in wire AB . The mass per unit length of the wire CD is λ. To what equilibrium height h will the wire CD rise. assuming that magnetic force on it is wholly due to current in wire AB ?
The equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg
What is magnetic field ?A region in which the force of magnetism acts is known as the magnetic field, and it surrounds magnetic materials or a moving electric charge. Moving magnetic dipoles and electric charges produce a magnetic field, which acts as a force field on other nearby magnetic dipoles and moving charges.
Magnetic field at a distance h produced by a current carrying wire
B = μ₀I/ 2πh
Magnetic force due to the present current carrying wire can be calculated by the formula
F = B I L
And we also know that F = mg
On equating these mg = B I L
( μ₀I/ 2πh ) I = ( m/ I ) g = λg
thus we get the value of h as
h = μ₀I² / 2π λg
Thus, the equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg .
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Can anyone tell me what concept of physics acts on snowboarders during the olympics big air jump
Answer:
gravity,lift and dragExplanation:
hope it helpsA friend of yours who has not taken an astronomy class looks at your textbook and really likes the picture of the Pleiades, a cluster of stars surrounded by a bluish reflection nebula. She wants to know what causes that beautiful blue glow. To explain it to her, you want to compare the process that causes the blue glow to something that is in your friend's everyday experience. Which of the following terrestrial phenomena is the result of the same type of process that makes a reflection nebula in space?
A. the blueish glow of the flame on a gas stove
B. the blue light you see reflected from a blue sweater
C. the blue colour of the Earth's sky
D. the blue-white colour of the hottest stars
E. the blue feeling you get when you don't do well on an astronomy exam
Answer:
C. the blue colour of the Earth's sky
Explanation:
The Pleiades is a cluster of sister stars that are among the closest star cluster to earth.
The reflection nebula of the Pleiades is due to the scattering of the blue light from the hot blue luminous stars that dominate the star cluster. Th blue light is scattered from dust molecules, thought to be predominantly carbon compound like diamond dusts, and other compounds like iron.
The blue colour of the Earth's sky is the closest terrestrial phenomenon to the reflection nebula. On a clear cloudless day, molecules in the air scatter the blue component of light more than the other component colours of white light, giving the sky its characteristic blue coluor.
The common characteristics of the luminous nebula and the Earth's blue sky is that they both have their light scattered by the presence of small particles.
An alpha particle (^4He) strikes a stationary gold nucleus (^197Au) head-on. What fraction of the alpha's kinetic energy is transferred to the gold?
When an alpha particle (^4He) strikes a stationary gold nucleus (^197Au) head-on, the kinetic energy of the alpha particle is transferred to the gold nucleus through a process called elastic scattering. Elastic scattering occurs when the particles do not stick together after collision and energy is conserved.
The fraction of the alpha particle's kinetic energy transferred to the gold nucleus depends on the masses of the two particles and their velocities. The ratio of the masses of the gold nucleus and the alpha particle is about 50:1, which means that the gold nucleus is much heavier than the alpha particle.
Due to conservation of momentum, the alpha particle's velocity decreases significantly after the collision, while the velocity of the gold nucleus increases slightly. Therefore, only a small fraction of the alpha particle's kinetic energy is transferred to the gold nucleus, which is approximately 0.04% or 1/2500th of the initial energy of the alpha particle.
In summary, when an alpha particle strikes a stationary gold nucleus head-on, only a small fraction of the alpha particle's kinetic energy is transferred to the gold nucleus, which is approximately 0.04%.
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Write an argument of any one
Do you think parallel universes exist?
or
Do you think portals exist?
give in one word answer :
combination of cell in series
Answer:
The combination of cells in which the negative terminal of a first cell is connected with the positive terminal of second cell and the negative terminal of a second cell is connected to the positive terminal of a third cell and so on is known as series combination of cells.
Explanation:
hope this helps to u
Answer:
Battery.
Hope it is helpful....Explain how a battery works. What are some possible materials you could use to make a battery for a circuit?
Answer:
Batteries are systems that store chemical energy and then release it as electrical energy when they are connected to a circuit. Batteries can be made from many materials, but they all share three main components: a metal anode, a metal cathode and an electrolyte between them. The electrolyte is an ionic solution that allows charge to flow through the system. When a load, such as a light bulb, is connected, an oxidation-reduction reaction occurs that releases electrons from the anode while the cathode gains electrons
Explanation:
A stationary 1.67-kg object is struck by a stick. The object experiences a horizontal force given by F = at - bt^2, where t is the time in milliseconds from the instant the stick first contacts the object. If a = 1500 N/(ms) and b = 20 N/(ms)^2, what is the speed of theobject just after it comes away from the stick at t = 2.74 ms?
The speed of the object just after it comes away from the stick at t = 2.74 ms is: 1.36 m/s.
What is the horizontal force?The horizontal force on an object can be calculated using the formula given below:
F = ma
Where, m = mass of the object
a = acceleration of the object
Here, the given force is:
F = at - bt²
Where, a = 1500 N/(ms)
b = 20 N/(ms)²
t = 2.74 ms
We can substitute these values in the given equation to calculate the force:
F = at - bt²
F = 1500 × 2.74 - 20 × (2.74)²
F = 4110 - 155.68F = 3954.32 N
The final velocity of an object can be calculated using the formula given below:
v = u + at
Where, v = final velocity
u = initial velocity
a = acceleration
t = time taken
We know that the object is initially at rest. Therefore, the initial velocity of the object is zero.
u = 0a = F/m = 3954.32/1.67 = 2366.77 m/s²t = 2.74 ms
We can substitute these values in the above equation to calculate the final velocity:
v = u + atv = 0 + 2366.77 × 2.74 × 10⁻³v = 6.4768 m/s
The speed of the object just after it comes away from the stick at t = 2.74 ms is 1.36 m/s (as we are looking for the speed and not velocity, we need to take the magnitude of velocity).
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9. in 1959, pound and rebka did an experiment to test the prediction of einstein's theory of general relativity about the relationship between the pace of time and the strength of gravity. when two identical atomic clocks, one on the ground floor and one on the top floor, were compared, a. the clocks ran at exactly the same pace in both locations b. the clock on the top floor ran a tiny bit slower c. the clock on the ground floor ran a tiny bit slower d. the clock on the ground floor became a little bit lighter (weighed less) e. the clock on the top floor became a little bit lighter
Pound and Rebka did an experiment of general relativity to test Einstein’s theory. When two identical atomic clocks (one on the ground floor, one on the top floor) were compared, then: B. The clock on the top floor ran a tiny bit slower.
What is Einstein’s theory of general relativity of how gravity affects the pace of time?General relativity is a theory of gravity capable of curving and warping space. Albert Einstein claimed that time is relative. It depends on how strong gravity affects it. The further an object is to the ground, the weaker the gravity and the slower the pace of time it experiences. That is why the clock on the top of a building runs a tiny bit slower than on the ground floor.
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Given a friction force of 1.10 N, how fast is a 0.510 kg book moving in 0.50 s if it starts at rest and you are applying a force of 2.00 N in a straight line?
A.90 m/s
B.0.9m/s
C.1.8m/s^2
The same process that explains why astronomers see less helium in the upper atmosphere of Saturn when they take spectra also explains
Given what we know, we can confirm that less helium is present in the upper atmosphere of Saturn due to Helium precipitation.
What is helium precipitation?On Saturn, helium is able to remain in liquid form, due to many internal and external factors of the planet, this means that helium can form precipitation and rain back down onto the planet. For this reason, it does not stay in the atmosphere for long. This process also produces Saturn's internal energy by releasing gravitational energy in the process.
Therefore, we can confirm that less helium is present in the upper atmosphere of Saturn due to Helium precipitation.
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A solution is prepared by dissolving 17.75 g sulfuric acid, h2so4, in enough water to make 100.0 ml of solution. if the density of the solution is 1.094 g/ml, whatt is the mole fraction?
The solution of Sulfuric Acid (H2SO4) has the following mole fractions:
mole fraction (H2SO4)= 0.034mole fraction (H2O)= 0.966To solve this problem the formula and the procedure that we have to use is:
n = m / MW = ∑ AWT mole fraction = moles of A component / total moles of solutionρ = m /vWhere:
m = massn = molesMW = molecular weightAWT = atomic weightρ = densityv = volumeInformation about the problem:
m solute (H2SO4) = 17.75 gv(solution) = 100 mlρ (solution)= 1.094 g/mlAWT (H)= 1 g/molAWT (S) = 32 g/molAWT (O)= 16 g/molmole fraction(H2SO4) = ?mole fraction(H2O) = ?We calculate the moles of the H2SO4 and of the H2O from the Pm:
MW = ∑ AWT
MW (H2SO4)= AWT (H) * 2 + AWT (S) + AWT (O) * 4
MW (H2SO4)= (1 g/mol * 2) + (32,064 g/mol) + (16 g/mol * 4)
MW (H2SO4)= 2 g/mol + 32 g/mol + 64 g/mol
MW (H2SO4)= 98 g/mol
MW (H2O)= AWT (H) * 2 + AWT (O)
MW (H2O)= (1 g/mol * 2) + (16 g/mol)
MW (H2O)= 2 g/mol + 16 g/mol
MW (H2O)= 18 g/mol
Having the Pm we calculate the moles of H2SO4:
n = m / MW
n(H2SO4) = m(H2SO4) / MW (H2SO4)
n(H2SO4) = 17.75 g / 98 g/mol
n(H2SO4) = 0.1811 mol
With the density and the volume of the solution we get the mass:
ρ(solution)= m(solution) /v(solution)
m(solution) = v(solution) * ρ(solution)
m(solution) = 100 ml * 1.094 g/ml
m(solution) = 109.4 g
Having the mass of the solution we calculate the mass of the water in the solution:
m(H2O) = m(solution) - m solute (H2SO4)
m(H2O) = 109.4 g - 17.75 g
m(H2O) = 91.65 g
We calculate the moles of H2O:
n = m / MW
n(H2O) = m(H2O) / MW (H2O)
n(H2O) = 91.65 g / 18 g/mol
n(H2O) = 5.092 mol
We calculate the total moles of solution:
total moles of solution = n(H2SO4) + n(H2O)
total moles of solution = 0.1811 mol + 5.092 mol
total moles of solution = 5.2731 mol
With the moles of solution we can calculate the mole fraction of each component:
mole fraction (H2SO4)= moles of (H2SO4) / total moles of solution
mole fraction (H2SO4)= 0.1811 mol / 5.2731 mol
mole fraction (H2SO4)= 0.034
mole fraction (H2O)= moles of (H2O) / total moles of solution
mole fraction (H2O)= 5.092 mol / 5.2731 mol
mole fraction (H2O)= 0.966
What is a solution?In chemistry a solution is known as a homogeneous mixture of two or more components called:
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what special acquisition conditions are required to correctly integrate signals in a proton spectrum?
To correctly integrate signals in a proton spectrum, special acquisition conditions include high signal-to-noise ratio, sufficient spectral resolution, accurate baseline correction, precise pulse calibration, and proper spectral referencing.
The integration of signals in a proton spectrum requires specific acquisition conditions to ensure accuracy. Firstly, a high signal-to-noise ratio is essential. The signal strength should be significantly higher than the noise level to achieve reliable integration. Increasing the signal-to-noise ratio improves the accuracy of peak integration and minimizes the impact of background noise.
Secondly, sufficient spectral resolution is necessary. The spectrum should be acquired with a resolution that allows for the distinction of individual peaks and avoids overlap. Higher resolution enables better separation of peaks, leading to more accurate integration.
Proper baseline correction is another crucial condition. The baseline, representing the signal level in the absence of peaks, must be correctly subtracted or corrected. Baseline distortions or variations can introduce errors in integration, so accurate baseline correction is vital.
Precise pulse calibration is also required. The pulse length and power applied during signal acquisition should be accurately calibrated to ensure consistent and precise excitation of proton spins. Incorrect pulse calibration can lead to signal distortions and affect integration accuracy.
Lastly, proper spectral referencing is important. The spectrum should be referenced to a known reference compound or internal standard. Spectral referencing allows for accurate determination of chemical shift values, which is crucial for peak identification and integration.
By adhering to these special acquisition conditions, such as maintaining high signal-to-noise ratio, sufficient spectral resolution, accurate baseline correction, precise pulse calibration, and proper spectral referencing, the integration of signals in a proton spectrum can be performed correctly, providing reliable and accurate quantitative information about the proton-containing compounds in the sample.
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Which wave is the largest in the electrocardiogram?.
The wave that is the largest in the electrocardiogram is the R wave.
In electrocardiography, R wave is the most substantial upward deflection in the QRS complex, which is the primary waveform complex that shows ventricular depolarization on an electrocardiogram (ECG). The R wave represents the earliest phase of ventricular depolarization in the cardiac cycle. Furthermore, the amplitude of the R wave varies depending on the individual's heart size, age, and sex, as well as the ECG machine's gain settings. The R wave's normal amplitude varies between 5 and 30 millimeters in a standard ECG recording.
Apart from the R wave, the Q wave and S wave are also part of the QRS complex, which represents ventricular depolarization. The Q wave, which is the first downward deflection after the P wave, is typically small and narrow. The S wave, which is the second downward deflection in the QRS complex, is also typically small and narrow.
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A cylindrical tank of radius 1.49 m and length 3.16 m shown below is partially filled with water. Find the volume of the water inside the tank if the depth of water is 0.98 m measured from the lowest point of the tank.
Round your answer to at least 3 significant figures and include the unit.
Volume of water
The volume of water inside the tank is approximately 14.3 m^3.
To calculate the volume of water, we use the formula for the volume of a cylinder, which involves multiplying the area of the base (π * radius^2) by the height of the cylinder. By subtracting the depth of the water from the length of the tank, we determine the height of the water level. Plugging the values into the formula, we calculate the volume of water to be approximately 14.3 cubic meters. This represents the amount of space occupied by the water inside the tank. The result is rounded to three significant figures to provide a reasonable level of precision in the measurement.
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Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy
The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.
What is the process of sublimation in carbon dioxide?During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.
As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.
Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.
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. A stone is thrown at an angle of 30.0° above the horizontal from
the top edge of a cliff with an initial speed of 12 m/s. A stopwatch
measures the stone's trajectory time from the top of the cliff to
the bottom at 5.60 s. What is the height of the cliff? (Assume no
air resistance)
I will give brainliest if I like your answer
Answer:
28 will be the right answer I think
why can't you run from momentum?
How does proximity to oceans affect Temperatures and
rainfall amounts?
Answer:
Because they absorb and emit heat more steadily than land, oceans help moderate temperatures in coastal areas, making winters warmer and summers cooler. Winds that blow in from across the oceans bring more rainfall and higher humidity.
Explanation:
An escalator is used to move 25 passengers every minute from the first floor of a department store to the second. The second floor is located 5.30 meters above the first floor. The average passenger's mass is 60 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time.
Please help me quickly!
Answer:
1298.5watt
Explanation:
Power is defined as the rate at which work is done
Expressed mathematically as;
P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered
Hence for 1 person the power consumption is ;
Note weight =mass× acceleration of free fall due to gravity,g
g is known as 9.8m/S2
Time taken is 1min which is 60 sec
60 ×9.8 × 5.3/60 = 51.94 watt
Hence for 25 persons we have
25 × 51.94 =1298.5watt
1.3kilo watt( kilo is 1000)
The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.
The Work Done is calculated as:
Force (F) = 60 × 9.8
Distance (d) = 5.30 meters
Work (W) = F × d
Work (W) = (60 × 9.8) × 5.30
Work (W) = 3,080.4 joules
The Power is calculated as:
Time (t) = 1 minute
Power (P) = Work / Tim (t)
Power (P) = 3,080.4 / 60
Power (P) = 51.34 watts
Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.
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how much work is done when a 100 lb rock is lifted to a height of 3 ft?
Work done when a 100 lb rock is lifted to height of 3 ft is 9652.215 ft-lb.
What is meant by work done?The work done on an object is equal to the force applied to it multiplied by the distance over which the force is applied. In this case, the force applied is the weight of the rock, which is equal to the force of gravity acting on it.
The weight of an object is given by the formula:
W = mg
Where m is the mass of the object (in this case, 100 lb) and g is the acceleration due to gravity (approximately 9.8 m/s^2 or 32.17405 ft/s^2).
So the weight of the rock is:
W = (100 lb)(32.17405 ft/s^2) = 3,217.405 ft-lb
The work done on the rock is equal to the force applied (its weight) multiplied by the distance it is lifted (3 ft), so the work done is:
Work = (3,217.405 ft-lb) x (3 ft) = 9652.215 ft-lb
Therefore, the work done when a 100 lb rock is lifted to a height of 3 ft is 9652.215 ft-lb.
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A racquetball with a mass of 42 g is moving with a horizontal speed of 7 m/s to the right (+x direction). It hits the wall of the court and rebounds to the hitter with a horizontal speed of 7m/a to the left (-x direction).what is the magnitude of the racquetball's change in momentum?
The magnitude of the racquetball's change in momentum is 0.59 kgm/s approximately.
Given that a racquetball with a mass of 42 g is moving with a horizontal speed of 7 m/s to the right (+x direction).
mass m = 42g = 42/1000 = 0.042kg
initial velocity before collision u = 7 m/s
It hits the wall of the court and rebounds to the hitter with a horizontal speed of 7m/s to the left (-x direction). That is,
velocity after collision v = 7 m/s
To calculate the magnitude of the racquetball's change in momentum, we will use the formula below
Change in momentum = Mv - Mu
Since momentum is a vector quantity, we will consider the direction.
Change in momentum = 0.042 x 7 - ( 0.042 x - 7)
Change in momentum = 0.294 + 0.294
Change in momentum = 0.588 kgm/s
Therefore, the magnitude of the racquetball's change in momentum is 0.59 kgm/s approximately.
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