Answer:
the answer is C
I hope I helped (◍•ᴗ•◍)❤
3 If a satellite is in orbit around Jupiter and an identical satellite is in orbit around the Earth, which satellite would experience a greater attractive force?
A The satellites are identical so they would experience the same force.
B The satellite in space will always experience less force than a satellite on earth.
C The satellite around Jupiter will experience a greater force because of the larger mass of
Jupiter.
D The satellites will not move so they do not experience a force.
Because to Jupiter's greater mass, the satellite in its orbit will feel a stronger attractive force. This is due to the fact that the gravitational force is inversely proportional to the mass of the item producing it.
What would happen if the gravitational pull that keeps Earth's satellites rotating around it would suddenly disappear?The satellite will move tangentially in the original orbit with its instantaneous velocity absent a centripetal force before the force of gravity is cancelled out. As a result, the spacecraft will veer off course and escape its orbit.
What will happen to a satellite's gravitational pull as their distance from the earth widens?More separation distance will result in lower gravitational forces since gravitational force is inversely proportional to the square of the distance between the two interacting objects. So, when objects move apart, their gravitational pull becomes less powerful.
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Consider the diagram of a pendulum's motion shown above. A pendulum can be used to model the change from potential energy to kinetic energy and back to potential energy. If you pull the bob back to point A and release it, potential energy is converted to kinetic energy. What do you think happens to the energy at point C?
A Potential energy is converted to kinetic energy.
B Potential energy decreases.
C Kinetic energy increases.
D Kinetic energy is converted to potential energy.
At point C of a pendulum's motion, kinetic energy is converted back into potential energy.
As the pendulum bob moves upward from the lowest point of its swing, its speed decreases and its potential energy increases. At point C, the pendulum bob has stopped momentarily, so it has no kinetic energy. However, it has gained potential energy as a result of its increased height. As the pendulum bob continues to move upward towards point D, its potential energy will continue to increase, while its kinetic energy decreases.
Therefore, the correct answer is D, Kinetic energy is converted to potential energy.
What is potential energy?
Potential energy is a form of energy that an object possesses due to its position or configuration in a system. It is the energy that an object has because of its position relative to other objects, or because of the forces acting on it.
What is kinetic energy?
Kinetic energy is the energy that an object possesses due to its motion. It is a form of energy that an object has because of its speed and mass. The formula for kinetic energy is:
KE = 1/2 * m * v^2
where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
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What kind of strip is Dr. Hewitt holding in his hand?
What happens when Dr. Hewitt heats up the strip?
Why does the strip behave as it does when Dr. Hewitt heats it up?
(a) a strip welded together from brass on one side and steel on the other Stripe made of two metals.
(b) It flexes.
(c) These metals expand in different ways.
A bimetallic strip is made up of two distinct metals that have been welded together. Different metals expand at various rates when heated. It bends as a result of heat expansion. Thermal expansion refers to the tendency of matter to alter form, area, and volume in reaction to temperature changes.
Because the water vapor flowing out of the nozzle has expanded and cooled, he may hold his palm a few inches above the nozzle.
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(a) Find a conversion factor to convert from miles per hour to kilometers per hour.
mi/h ✕_____= km/h
(b) Suppose the maximum highway speed is 70 mi/h. Use the conversion factor from part (a) to find the speed in kilometers per hour.
______km/h
The conversion factor (a) to convert from miles per hour (mi/h) to kilometers per hour (km/h) is: 1.60934 km/h = 1 mi/h, (b) from part (a) the speed in kilometers per hour: 112.6548 km/h.
What is speed?
Speed is a scalar quantity that measures how fast an object is moving. It is defined as the distance traveled per unit of time. In other words, speed tells us the rate at which an object covers a certain distance. Speed can be calculated using the equation: Speed = Distance / Time
(a) The conversion factor to convert from miles per hour to kilometers per hour is 1.60934 km/h = 1 mi/h.
To convert from miles per hour (mi/h) to kilometers per hour (km/h), we need to multiply the value in mi/h by a conversion factor. The conversion factor is derived from the relationship between miles and kilometers.
1 mile is equal to approximately 1.60934 kilometers. Therefore, 1 mile per hour is equal to 1.60934 kilometers per hour.
So, to convert from mi/h to km/h, we multiply the value in mi/h by 1.60934 km/h = 1 mi/h.
(b) Suppose the maximum highway speed is 70 mi/h. Using the conversion factor from part (a), we can find the speed in kilometers per hour.
70 mi/h × 1.60934 km/h = 112.6548 km/h
Therefore, the speed of 70 miles per hour is equivalent to approximately 112.6548 kilometers per hour.
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1 Beth isn't a very good student. She's very ......
A rude
B lazy
C clever
Answer: B.) Lazy
Explanation: It explains that Beth isn't a good student, so you can infer that Beth is lazy.
Hope this helps :
Lazy as it explains that Beth isn't a good student, so you can infer that Beth is lazy.
The nursing action is appropriate during the non acute stage of drug toxicity method of administration chemical content of the drug where the teen obtained the drug adolescent's level of interest in rehabilitation adolescents level of interest in rehabilitation.
What is drug?Drugs in general is metabolized by the liver and the kidneys. In patients with liver cirrhosis, the metabolism of most drugs is inhibited therefore the concentration of the active drug will remain high in the circulation. A patient with kidney disease will have decreased excretion of the active drug and its metabolites therefore contributing to toxicity.
A patient will a nutritional deficiency will present with a decrease in albumin in blood which will increase the levels of active, unbound drug in the blood. The nursing action is appropriate during the non acute stage of drug toxicity method of administration chemical content of the drug where the teen obtained the drug adolescent's level of interest in rehabilitation adolescents level of interest in rehabilitation.
Therefore, The nursing action is appropriate during the non acute stage of drug toxicity method of administration chemical content of the drug where the teen obtained the drug adolescent's.
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Match the phrase with its explanation
Answer:
its very easy
Explanation:
(324-10(E)) Use of FCC systems in damp locations shall be _____.
The use of FCC systems in damp locations should be done with caution and only when the equipment is specifically designed and labeled for such use.
According to the National Electrical Code (NEC) Article 100, a damp location is an area that is protected from weather but still subject to moisture. When it comes to using Federal Communications Commission (FCC) systems in damp locations, the NEC requires that they shall be identified for use in such locations.
The identification can be done through a variety of ways, including labels, markings, or instructions that come with the equipment. Additionally, the FCC system should be installed in such a way that it does not come in direct contact with moisture, which can compromise its performance and safety.
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Besides astronomy, what did copernicus study in school?
Besides astronomy, copernicus study paintings and mathematics in school of the university of krakow.
The basic ideas of Copernicus already appear in the 7 ’axioms’ of his first published work, the Commentariolus. These axioms were:
1. There is no single centre for all orbits in the universe.
2. The Earth’s centre is not the centre of the universe, but only of the lunar orbit.
3. The centre of the universe is near the sun.
4. The distance from the Earth to the sun is imperceptible compared with the distance to the stars.
5. The daily rotation of the Earth accounts for the apparent daily rotation of the stars, which themselves are immobile.
6. The apparent annual cycle of solar motion is caused by the Earth revolving round it once every year.
7. The apparent retrograde motion of the planets is caused by the motion of the Earth around the sun, and from which one observes the planets.
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Which is the BEST definition of "Energy"? *
a. The ability to move an object
b. The potential to make something happen
c. Movement
d. Something stored that can be released later on
e. Waves that emit from something or someone
Answer:
I think it's E.
Explanation:
Because I know
FAILURE OF THE PRODUCT Instructions 1. Select THREE from everyday below items from the list and discuss the way this item can potentially fail (list minimum THREE failures). Justify your answer by considering Load Strength graph and what can be done to prevent those failures. -Ball Pen -Room Key - Blender
The three product which can be potentially fail considering Load Strength graph and precautionary measure to prevent failure are as below;
Ball Pen:
1. Ink Leakage: One potential failure of a ball pen is ink leakage. This can occur due to poor sealing between the ink reservoir and the ballpoint mechanism. Ink leakage can result in messy hands, stained documents, and reduced functionality of the pen. To prevent this failure, manufacturers can improve the quality control process to ensure proper sealing and use high-quality materials for the pen's components.
2. Ballpoint Jamming: Another failure is ballpoint jamming, where the ball gets stuck and prevents smooth writing. This can be caused by a buildup of dried ink or debris inside the pen's mechanism. To prevent ballpoint jamming, regular cleaning and maintenance of the pen can be recommended. Additionally, manufacturers can design the pen with features that facilitate easy cleaning or provide instructions on how to clear any blockages.
3. Weak Barrel Construction: The barrel of the pen may also be prone to failure if it is weak or brittle. Excessive pressure or rough handling can lead to cracks or breakage, rendering the pen unusable. To prevent this, manufacturers can use durable materials for the pen barrel, such as sturdy plastics or reinforced metal, and perform quality checks to ensure structural integrity.
Room Key:
1. Keycard Malfunction: A potential failure of a room key is a malfunction in its electronic components. This can result in the keycard being unreadable by the door lock system, preventing access to the room. To prevent this failure, regular maintenance and replacement of keycard readers can be implemented. Additionally, guests should be advised to keep their keycards away from magnets and electronic devices that can interfere with the card's functionality.
2. Magnetic Strip Damage: Another failure can occur if the magnetic strip on the keycard gets damaged or demagnetized. This can happen due to exposure to magnetic fields or physical damage. To prevent this failure, keycards can be made more durable with protective coatings or alternative technologies such as RFID. Guests should also be educated on proper handling and storage of keycards to avoid damage.
3. Battery Drain: Some room keys use batteries to power their electronic components. A failure can occur if the battery drains, leading to an inactive keycard. To prevent this, low-power consumption designs can be implemented, and regular battery checks or replacements can be carried out by hotel staff. Guests should be informed about the importance of returning the keycard to the front desk for recycling or proper disposal to ensure the battery is replaced as needed.
Blender:
1. Motor Burnout: One potential failure of a blender is motor burnout due to prolonged use or overloading. Continuous operation at high speeds or attempting to blend hard or frozen ingredients beyond the blender's capacity can cause the motor to overheat and fail. To prevent motor burnout, manufacturers can provide clear guidelines on the maximum load capacity and recommended usage durations. Automatic thermal protection mechanisms can also be incorporated to shut off the blender if it detects excessive heat.
2. Blade Jamming: Another failure can occur if food particles or ingredients get jammed between the blender's blades, preventing them from spinning freely. This can happen if the blender is not properly cleaned or if ingredients are not adequately prepared before blending. To prevent blade jamming, users should be advised to clean the blender thoroughly after each use and ensure that ingredients are cut into manageable sizes. Manufacturers can also design blades with accessible mechanisms for easy cleaning or provide cleaning tools.
3. Leakage: A failure in a blender can also manifest as leakage. This can happen if the blender jar or its sealing components are damaged or improperly assembled. Liquid or food can leak out during blending, resulting in a messy and potentially unsafe situation. To prevent leakage, manufacturers should ensure proper sealing mechanisms and use high-quality materials for the blender jar and lid. Regular inspection of the sealing components can be advised,
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many interactions occur among systems, such as the atmosphere , biosphere, hydrosphere, and geosphere. Of the systems mentioned which scenario describes an interaction between two different “spheres”.
The scenario that describes an interaction between two different “spheres” will be atmosphere.
What is Atmosphere?The atmosphere brings back rainwater to the hydrosphere. The atmosphere provides the geosphere with heat and energy needed for rock breakdown and erosion. The geosphere, in turn, reflects the sun's energy back into the atmosphere. The biosphere receives gases, heat, and sunlight (energy) from the atmosphere. The subsystems interact with each other and the biosphere, they work together to influence the climate, trigger geological processes, and affect life all over the Earth.
Thus, the scenario that describes an interaction between two different “spheres” will be atmosphere.
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11:10 OZ Quiz 4 Question 10/10 Take a look at the transit light curve on the slide titled "Planetary Transits (Eclipses)" from Lecture 7. Come up with an equation that will allow you to solve for the transiting planet's radius in terms of the star's radius, the normal flux of the star, and the minimum flux of the star during the transit. Then use this equation to solve for the radius of the planet if HD179070's radius is 1.86 times the radius of the Sun. Please give your answer in units of km.
To solve for the transiting planet's radius in terms of the star's radius, the normal flux of the star, and the minimum flux of the star during the transit, we can use the equation:
(ΔF / F) = (Rp / Rs)^2
Where:
ΔF is the difference in flux between the normal and minimum flux of the star during the transit,
F is the normal flux of the star,
Rp is the radius of the planet, and
Rs is the radius of the star.
To solve for the radius of the planet (Rp), we rearrange the equation:
Rp = Rs * √(ΔF / F)
Given that HD179070's radius (Rs) is 1.86 times the radius of the Sun and the other values are not provided, we cannot directly solve for the radius of the planet (Rp) without additional information.
Please provide the values for ΔF / F, the normal flux of the star (F), and the minimum flux of the star during the transit to calculate the radius of the planet (Rp) in units of km.
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Pamela produced an electromagnet by wrapping a copper wire around an iron nail. When she connected the wire ends to a battery, she was able to lift 4 paper clips with her electromagnet. She decided that she wanted to modify the electromagnet so that it would lift 7 paper clips. She modified the electromagnet by removing the iron nail and replacing it with an aluminum nail. However, when she modified the electromagnet, it would not lift any paper clips.
Explain why Pamela's modification caused the electromagnet to lose its magnetic properties.
how many washers or paper clips can be picked up by each magnet. The one which picks up the most is the strongest.
-Slowly bring each magnet close to a magnetic material (such as an iron pin). The one which attracts the pin from the farthest distance is the strongest.
-Construct a device such as in class (place a tongue depressor between two plastic cups, place each magnet on top of the tongue depressor, and then suspend a paperclip beneath it to see how many washers each magnet can hold
Which direction will thermal energy flow if you pick up a snowball with your bare hand? Thermal energy will flow from the snowball to your hand. Thermal energy will flow from your hand to the snowball. Thermal energy will not flow between your hand and the snowball.
Answer:
b. Thermal energy will flow from your hand to the snowball.
Explanation:
Answer:
B
Explanation:
a stream 1 km wide has a constant current of 4 km/h. at what angle to the shore should a person navigate a boat, which is maintaining a constant speed of 16 km/h, in order to reach a point directly opposite? (give your answer for acute angle in decimal degrees, rounded to one decimal place.)
angle to the shore should a person navigate a boat, which is maintaining a constant speed of 16 km/h, in order to reach a point directly opposite is 75.5 degrees.
Since the stream is flowing parallel alongside the shore, it takes the vector form of v {stream} = [0,4]
the boat velocity is perpendicular to the stream, it's takes the vector form of v{boat} = [-16,0]
The resultant velocity of the boat is the sum of the velocity of the boat and stream, thus it takes the form
v{total} = [-16,0] + [0,4]
= [ -16,4]
the cosine of angle to the shore,
cos {theta} = v{total} . v {stream} / ||v{total} || x ||v {stream}||
= [ -16,4] . [0,4] / (16x4)
= 16/64
= 0.25
angle = 75.7 degrees.
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An object is moving east, and its velocity changes from 65 m/s to 25 m/s in 10 seconds Which describes the acceleration?
4 m/s in negative acceleration
4 m/s in positive acceleration
9 m/s in positive acceleration
Oms in negative acceleratio
Save and Exit
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Subini
Mark this and return
Answer:
4 m/s in negative acceleration
Explanation:
Acceleration = V- U/t
Where V is the final velocity
U is the initial velocity and t is the time given.
U = 65 m/s
V= 25 m/s
T= 10 seconds
Acceleration= (25m/s - 65m/s)÷10secs
= - 40/10
= -4m/s^2
Hence, it has a negative acceleration.
Answer:
A. negative acceleration of 4 m/s2
Hope this helps!
Explanation:
You launch a ball in the air with an initial velocity of 25 m/s.
What is the acceleration going up ?
A. 9.81 m/s2
B. - 9.81 m/s2
C. 25 m/s
The acceleration of the object projected upwards is -9.8 m/s².
The given parameters;
initial velocity of the ball, u = 25 m/sA projectile moving upwards is influenced by acceleration due to gravity. The direction of the acceleration due to gravity is always downwards.
The kinematic equation for calculating the velocity is given as;
v = u + gt
where;
g is acceleration due to gravityFor upward motion, the equation is given as;
v = u + (-9.8)t
v = u - 9.8t
Thus, the acceleration of the object projected upwards is -9.8 m/s².
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True or False: There is the same amount of water on earth today as there was when earth was formed.
Answer:
Yes the water amounts are the same.
Explanation:
Distinguish between a proton and a neutron.
Answer:
A proton has a positive charge :)
A neutron has no charge because it is neutral :)
Have a great day!!
Please rate and mark brainliest!!
A proton is positively charged while a neutron has no charge at all.
Name one benefit and one risk of each biotechnology practice:
Genetic engineering:
Cloning:
Artificial selection:
PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Genetic Engineering:
Benefits: More nutritious food, less use of pesticides, increased supply of food with reduced cost and longer shelf life, faster growing plants and animals
Risk: Creating foods that can cause allergic reaction or that are toxic, Unexpected ir harmful genetic changes, genes moving from one GM plant or animal to anotherplant or animal that is not genetically engineered
Cloning:
Benefits: accelerated reproduction of farmers productive livestock to better produce safe and healthy foods, reproduction of the healthiest animals, minimizing the use of antibiotics, growth hormones and chemicals
Risks: Unwantedhealty effects, defects, premature aging and problems with the immune system
Artificial Selection:
Benefits: no safety issues as those brought by genetic engineering, cheap for agricultural businesses, morally accepted, produce crops with higher yield
Risks: Removes variation, makes organism susceptible to diseasesor changes in environment, unable to control genes inherited by offspring
Answer:
Genetic Engineering
Benefits
-Ability to create food that is resistant to pests, cold, and disease.
-Greater food production volume and increased vitamins.
Risks
-Concerns about long-term health risks.
-Lack of regulation.
Cloning
Benefits
-Ability to increase endangered animal populations.
-Possibility of eliminating diseases and defective genes.
Risks
-Shorter lifespan for cloned animals.
-Greater chance of health issues for cloned animals.
Artificial Selection
Benefits
-Allows for selection of desired traits.
-Ability to create better versions of organisms.
Risks
-Loss of genetic diversity.
-Increased chance of diseases that can shorten lifespan.
Explanation:
How much information does the length of a sequence give about the content of a sequence?
Suppose we consider a Bernoulli (1/2) process {Xi}.
The length of a sequence provides some information about the content of the sequence, but it is not sufficient to determine the content with certainty.
The Bernoulli process, named after Swiss mathematician Jacob Bernoulli, is a sequence of independent experiments or trials, in which each trial has only two possible outcomes, typically labeled as "success" and "failure". In physics, the Bernoulli process can be used to model random events such as radioactive decay or the fluctuation of particles in a gas.
In the context of radioactive decay, each atom has a certain probability of decaying during a given time interval, and the Bernoulli process can be used to model the probability of a certain number of atoms decaying during that time. Similarly, the Bernoulli process can be used to model the probability of a particle in a gas moving in a certain direction, or the probability of a photon being absorbed or transmitted by a material.
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During a very quick stop, a car decelerates at 5.00 m/s^2. (a) What is the angular acceleration of its 0.3-m-radius tires, assuming they do not slip on the pavement? (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s ? (c) How long does the car take to stop completely? (d) What distance does the car travel in this time? (e) What was the car’s initial velocity? (f) Do the values obtained seem reasonable, considering that this stop happens very quickly?
(a) The angular acceleration of the car's tires is 16.7 rad/s².
(b) The tires make 12.6 revolutions before coming to rest.
(c) The car takes 19.0 s to stop completely.
(d) The car travels 452 m in this time.
(e) The car's initial velocity was 180.5 m/s.
(f) The values obtained seem unreasonable, as a car coming to a very quick stop from such a high initial velocity would likely result in significant damage to the car and passengers, and the deceleration of 5.00 m/s² is likely too high for a safe stop.
Angular acceleration is the rate at which an object's angular velocity changes with respect to time. It is defined as the change in angular velocity divided by the change in time, or the second derivative of angular displacement with respect to time. Angular acceleration is a vector quantity and is measured in radians per second squared (rad/s^2) in the SI system of units.
It describes how quickly an object's rotational speed changes and in what direction. A positive angular acceleration means that the object's angular velocity is increasing, while a negative angular acceleration means that the object's angular velocity is decreasing. If the angular acceleration is constant, the object's rotational motion can be described by the equations of rotational kinematics, just as linear motion can be described by the equations of linear kinematics.
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Cavity wall insulation costs £240 but will save you £32 each year. What is the payback time for cavity
wall insulation? (Do not round your answer.)
Enter your answer as a number
The payback time for cavity wall insulation can be calculated by dividing the cost of insulation by the annual savings. In this case, the cost of insulation is £240, and the annual savings are £32. So, the payback time can be calculated as Payback time = Cost of insulation / Annual saving Payback time = £240 / £32 Payback time = 7.5 years
The payback time for cavity wall insulation is 7.5 years. This means that it will take 7.5 years to recover the initial cost of insulation through the savings in energy bills. After the payback period, the savings will continue to add up, resulting in significant long-term savings. It is important to note that the payback time may vary depending on the insulation cost and the amount of savings, and it is always a good idea to evaluate the potential savings before investing in any energy efficiency measure.
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A massless rope connects a box on a horizontal surface and a hanging stone as shown below. The rope passes over a massless, frictionless pulley. The box is given a quick tap so that it slides to the right along the horizontal surface. The figure below shows the block after it has been pushed while it is still moving to the right. The mass of the hanging stone is larger than the mass of the box. There is friction between the box and the horizontal surface. Free-body diagrams that a student has drawn to scale for the box and for the hanging stone are shown.
Four students discussing these free-body diagrams make the following contentions: Ali:“I think there is a problem with the free-body diagram for the hanging stone. The two forces should have the same magnitude.” Brianna: “But the stone is moving upward – there should be a larger force in that direction.” Carlos:“No, the diagram for the hanging stone is okay, but there is a problem with the diagram for the box. The frictional force is in the wrong direction.” Dante:“No, all three of you are wrong. Both free-body diagrams are correct because both show the way the objects would be accelerating.” With which, if any, of these students do you agree?
help = brainlist pls
Answer:
A) the liquid particals move slower
Explanation:
vapor has a higher temp and have more energy than liquid so it's not c or d. and liquid has a lower boiling point than vapor
you have a sample of gas in a container with a movable piston, such as the one in the drawing. part a identify the drawing of the container to show what it might look like if the temperature of the gas is increased from 300 to 500 kk while the pressure is kept constant.
When the temperature of a sample of gas in a container with a movable piston is increased from 300 to 500 kk while the pressure is kept constant, the piston will move up to increase the volume of the gas.
What is the statement of Charles' law of gases?Charles's law states that the volume of a given mass of gas is directly proportional to the temperature of the gas provided the pressure of the gas is kept constant.
This law explains that if the temperature of a gas at constant pressure is reduced, the volume of the gas will decrease. Also, if the temperature of a gas at constant pressure is increased, the volume of the gas will increase.
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water flows through a horizontal plastic pipe with a diameter of 0.2 m at a velocity of 9 cm/s. (a) determine the pressure drop per meter of pipe using the moody chart. (b) calculate the power lost to the friction per meter of pipe. assume that the water is at 20oc.
The pressure is 0.00038 Pa/m, and the power lost to friction per meter of pipe is approximately \(2.28 * 10^-7 W/m.\)
To determine the pressure drop per meter of pipe and the power lost to friction, we need to calculate the friction factor using the Moody chart and the Darcy-Weisbach equation. The Darcy-Weisbach equation is:
ΔP = \(f * L * (v^2) / (2 * g * d)\)
where ΔP is the pressure drop per meter of pipe, f is the friction factor, L is the length of pipe, v is the velocity of the water, g is acceleration that occurs because of gravity and d is pipe's diameter.
We can use the Moody chart to find the friction factor, f, based on the Reynolds number, which is a measure of the fluid flow regime. For a smooth plastic pipe, the Reynolds number can be calculated as:
Re = (v * d) / ν
where ν is the kinematic viscosity of the water, which is approximately \(0.000001 m^2/s\) at 20°C.
Once we have the Reynolds number, we can find the friction factor from the Moody chart. For a Reynolds number of approximately 2200, the friction factor for a smooth plastic pipe is approximately 0.022.
Plugging the values into the Darcy-Weisbach equation, we find that the pressure drop per meter of pipe is:
ΔP = \((0.022) * (1 m) * (0.09 m/s)^2 / (2 * 9.8 m/s^2 * 0.2 m)\) = 0.00038 Pa/m
To calculate the power lost to friction, we can use the equation:
P = ΔP * Q
where P is the power lost to friction and Q is the flow rate, which can be calculated as:
Q = A * v = \((pi/4) * d^2 * v = (pi/4) * (0.2 m)^2 * (0.09 m/s)\)= \(0.0006 m^3/s\)
Plugging the values into the power equation, we find that:
P = ΔP * Q = (0.00038 Pa/m) * (0.0006 \(m^3/s\)) = \(2.28 * 10^-7 W/m\)
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You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius
1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.
How fast can you safely spin the ball without the rope breaking?
Answer:
Approximately \(7.2\; {\rm m\cdot s^{-1}}\) (rounded up), assuming that this circle is vertical and \(g = 9.81\; {\rm m\cdot s^{-2}}\).
Explanation:
Let \(v\) denote the tangential speed of the ball, and let \(r\) denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration \(a = (v^{2} / r)\). The net force on this ball would be \(F_{\text{net}} = m\, a = (m\, v^{2} / r)\).
The net force on this ball is also the vector sum of the tension \(T\) in the rope and the weight of the ball \(m\, g\):
\(F_{\text{net}} = (\text{weight}) + T\).
\(T = F_{\text{net}} - (\text{weight})\).
Note that:
\(\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|\).
In other words, the magnitude of tension \(T\) is at most equal to \(\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)\), which happens when weight and net force are in opposite directions.
When the speed of the ball is maximized, the magnitude of tension \(T\) would be at the largest possible value of \(130\; {\rm N}\). Rearrange the equation and solve for speed \(v\):
\(\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|\).
\(\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}\).
\(\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}\).
if you wanted a Christmas present, and you had to ask Santa, how many miles would it take you to ask Santa??
Answer:
Because each household has 2.67 children, there are about 75 million homes to visit and the average distance between homes is about 1.63 miles, Santa needs to cover 122 million miles. To cover that distance in 24 hours on Christmas, Mr. Claus's sleigh would need to travel at a whopping average speed of 5,083,000 mph
Explanation:
Determine the rate of heat transferred from the hot surface through each fin and the fin effectiveness. Is the use of fins justified? Why?
Heat transfer rate through fins and fin effectiveness must be determined to justify their use in a system.
To determine the rate of heat transferred from a hot surface through each fin, it is necessary to consider the material properties of the fin, its geometry, and the flow characteristics of the medium in which it operates.
Additionally, the fin effectiveness must be evaluated to determine whether the use of fins is justified.
Fin effectiveness is a measure of how well a fin increases the heat transfer rate, and is influenced by factors such as the fin thickness, surface area, and spacing.
If the fin effectiveness is high enough, it justifies the use of fins as they increase the heat transfer rate and improve the system's efficiency.
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