The magnitude of the shop B is 15.62 m and the direction will de same as given.
What is magnitude?Magnitude is defined as the direction and size of an item at its largest. It reveals the absolute or relative size or direction that an object moves when in motion.
The product of vw - vs determines the relative velocity of a ship to water.
To calculate the magnitude we use formula
Magnitude = √vw² + vs²
Magnitude = √ 12² + 10²
Magnitude = √ 144 + 100
Magnitude = √ 244
Magnitude = 15.62 m
Thus, the magnitude of the shop B is 15.62 m and the direction will de same as given.
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what is a mirror's radius of curvature if cars 17.0 m away appear 0.37 their normal size? follow the sign conventions.
Therefore, if cars 17.0 m away appear 0.37 their normal size, the mirror's radius of curvature is -6.29.
What is radius of curvature?In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. Its radius is the same as the radius of the circular path that, at that specific moment, most closely matches the curve. The diameter of the a circle that, individually and collectively, fits a normal section the best seems to be the radius of curvature of surfaces. The curvature's length and radius is denoted by R, and its derivative by K, where R=1/K.
The diameter of a hollow sphere in which the spherical mirror was housed determines its radius of curvature. The radius of curvature is the distance between the pole and center of a spherical mirror.
How do you use radius formula?Radius = Diameter/ 2 applies when the diameter is known. Radius = Circumference/2 can be calculated after the circumference is known. The radius is calculated using the formula Radius = ⎷(Area of the circle/π) when the area is known.
Briefing:For the mirror, we can solve two equations:
1/f=1/d_0 -1/d_i
M= -d_i/d_0
Index I stands for a picture, while index 0 stands for the object.
Magnification in this instance is 0.37:
0.37= -d_i/d_0
-0.37d0 = di d0 =17.0m
di= -0.37 × 17.0
di = 6.29m
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HELP ASAP The Adálie penguins feed on krill that live on the underside of ice sheets. Which of the following would help Adálie penguins survive during the melting of Antarctic sea ice?
Migrating farther into the sea
Breeding during summer months
Growing strong toe nails to grip ice
Spending more time raising their young
Advancing into the sea more breeding season is in the summer acquiring long toe nails to better grip ice nurturing their young for a longer period of time.
What is the sea of Antarctica?Antarctica is encircled by the Southern Ocean, which is typically characterized as starting at the edge of the continent (and its ice shelves) and continuing to the location of the 'polar front,' which separates it from the neighboring Pacific, Indian, and South Atlantic Oceans. The Ross Sea is the most southerly sea on Earth and is located in Antarctica in the Ross Embayment, between Victoria Land and Marie Byrd Land. Surface temperatures are often below freezing, although the Antarctic Bottom Water of the Weddell Sea typically ranges from -0,8 to 0 degrees Celsius (31.8 to 32 degrees Fahrenheit).
Why is the Antarctic sea so rough?Where the Atlantic, Pacific, and Southern seas meet, at the Drake Passage, between Cape Horn in South America and the South Shetland Islands in Antarctica, are some of the world's choppiest waters since the currents here are unimpeded by any neighboring mainland.
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Polarization of light can be achieved using a dichroic material like Polaroid by which of the following processes?
A. reflection
B. double refraction
C. selective absorption
D. scattering
E. dispersion
Polarization of light can be achieved using a dichroic material like Polaroid by Selective absorption.
What is polarization?
Polarization is a characteristic of some electromagnetic radiations in which there is a specific relationship between the direction and strength of the vibrating electric field.
Because each wave's associated vibrating electric vector is perpendicular to the direction of transmission, light waves are transverse. Unpolarized light is made up of waves that are all traveling in the same direction while having their electric vectors oriented in a random manner around the propagation axis. All of the waves in plane polarized light have the same direction of vibration. The electric vector rotates in circular polarization with respect to the wave's direction of propagation. By reflecting light or passing it via crystals or other filters that only allow vibrations in one plane to flow through, light can be polarized.
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g the pressure of air in your house can stay constant during the day if the temperature rises. let the temperatures be 298 kk during the day, and 288 kk at night, and volume of the house be 900 m3m3.
There have been 903.73 moles of air that are expelled from the residence each day.
What is pressure and its types?Force is the term used to describe the physical violence applied to something. A perpendicular force is applied to the surface of the objects for each unit of area. The basic formula for pressures is F/A. (Force per unit area). Project phases are a pressure unit (Pa). Different types of pressure include absolute, atmospheric, differential, and gauge pressures.
Briefing:Since the pressures are steady:
V1/T1 = V2/T2
In the evening, V1 = 900 m^3, and T1 = 288K.
In the daytime, T2 = 298K, and V2 =?
V2 = V1*T2/T1 = 900*295/288 = 921.875 m^3
921.875 - 900 = 21.875 m^3
who venture outside during the day
V2/T2 = Vs/Ts
Vs = V2*Ts/T2 = 21.875*273/295 = 20.24 m^3
22.24 liters per mole, and 1000 liters per m^3, so
N = 20.24*1000/22.4
N = 903.73 moles.
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use the following terms to create a concept map: gravity, force, falling object, net force, and air resistance.
Net force , gravity, falling object, air resistance, force . this is the concept map obtained from the above given terms.
An item often experiences some air resistance as it descends through the air. The leading surface of the item collides with air molecules, creating air resistance. Several variables affect how much air resistance the item really experiences. To keep things straightforward, it may be noted that the object's speed and cross-sectional area are the two most frequent variables that directly affect the amount of air resistance. The quantity of air resistance rises with increasing speed. Greater air resistance is brought on by larger cross-sectional areas and gravity.
What causes an item to finally attain a terminal velocity when it encounters air resistance?
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Problem-1 A gelatin block with mass 1.00kg is sitting at rest on top of a horizontal surface. The
coefficient of kinetic friction between the block and the surface is 0.70.
A small steel ball with mass 10.9g is moving horizontally directly at the center of the block with a speed
of 853m/s. The ball then collides with the block and gets stuck inside of it.
(a) Assuming that the block stays in one piece, how much of the initial kinetic energy of the ball was
converted into overall (heat + light + sound + material distortions) energy during the collision?
KE = 1/2
KE=
- lov
ми
2
10-9x 853
bo
= 3.9655X 10
4014 joules of energy are lost as a result of heat, light, sound, and material deformation.
What is the energy conservation law?
According to the principle of energy conservation, energy cannot be created or destroyed. However, it is capable of changing its form. An isolated system's total energy is constant regardless of the types of energy that are present.The law of energy conservation applies to all energy forms. The law of conservation of energy basically states that all energy is conserved in closed systems, or systems that are isolated from their environment.The ball's kinetic energy is 1/2 x 0.0109 x 8632 = 4058 joule.
the block's kinetic energy following the inelastic collision
= 1/2(1 + 0.0109)(0.0109×863/1.0109)² joule.
= 43.77 joule.
Thus, energy loss due to heat, light, sound, and material distortions is equal to 4058 joule minus 43.77 joule, or 4014 joule.
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Pls help need to get this done asap
Answer:
I would say B. would be the answer.
Explanation:
Sorry if I'm wrong
32 Ayesha is travelling in a train. As she is looking out of the window, another train on an adjacent track moving in the same direction, overtakes her train. Which of the following is TRUE?
A. To Ayesha, the other train will appear to be travelling FASTER than it actually is.
B. To Ayesha, the other train will appear
to be travelling SLOWER than it actually is.
C. To Ayesha, the other train will appear to be travelling AT THE SAME SPEED as it actually is.
D. To Ayesha, the other train will appear to be travelling in the opposite direction.
Answer:
The answer is B
Explanation:
The train will appear to be moving slowly because what ayesha will be experiencing the relative velocity of the other train with her train. To find the relative velocity, if the train is moving in same direction
V(ba)= V(b)- V(a)
V(ba)= velocity of train B with respect to A
V(a) = velocity of Ayesha's train
V(b)= velocity of the other train
So relative velocity will be less than absolute velocity.
A mass m at the end of a spring oscillates with a frequency of 0.71 Hz . When an additional 780 g mass is added to m, the frequency is 0.64 Hz .
a)What is the value of m ?
A mass m at the end of a spring oscillates with a frequency of 0.71 Hz . When an additional 780 g mass is added to m, the frequency is 0.64 Hz, thus the value of mass is 3.376 kg
What is frequency?In terms of physics, frequency refers to the quantity of waves that pass through a given point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences over the course of a single unit of time.
Given that,
Frequency = 0.71 Hz
Mass = 780 g
After added to m, frequency becomes = 0.64 Hz.
Let the spring constant is k
k=m × w²
from the given info.
m × (0.71)² = (m+0.78) × (0.64)²
m ×[(0.71)²- (0.64)²] = 0.78 × (0.64)²
m = 0.78 × (0.64)² /[(0.71)²- (0.64)²]
m = 0.319 / 0.0945
m = 3.376 kg
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Suppose you are asked to come up with a design for a new mobile phone that uses solar energy as its energy source. Give examples of one criterion and one constraint for this mobile phone.
The need for an effective solar power system and restrictions on using solar power for mobile devices are requirements.
What is solar energy?Any energy produced by the sun is referred to as solar energy. Solar energy is produced by the nuclear fusion that occurs in the sun. Helium atoms are produced during fusion inside the sun's core when protons from colliding hydrogen atoms fuse. Solar architecture, solar thermal energy, and solar power to generate electricity are only a few examples of the technologies that can harness the Sun's radiant light and heat.
Why solar is important and why it is used?When you generate power with solar panels, no emissions of greenhouse gases are put into the atmosphere. Solar energy is a key source of energy in the transition to the creation of clean energy since the sun produces more energy than humans could ever require.
Solar energy seems to be a cheap, abundant, and renewable source of power. It may be used to make energy, heat water, and cook meals. Solar cells can also be used to store the electrical energy produced by solar energy.
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pitch depends on which of the following? number of hair cells stimulated amplitude of a sound wave number of sound waves that reach the ear in a given time strength of neural impulses traveling up the auditory nerve
Strength the neural impulses flowing up an auditory nerve in relationship to the amount of sound waves who reach my ear in a particular amount of time.
A sound wave is what?A blast wave seems to be the pattern of disruption brought on by the motion of energy moving through a medium as it spreads from the source of sound (such as air, water, and any other fluid or solid matter).
What causes sound waves to move?Sound is a type of energy produced by vibrations. These vibrations result in sound waves, which move through various media such as wood, sea, and the atmosphere. When an object is in motion, the particles of the medium also change position. This motion, which lasts on until particle runs out of power, is known as sound waves.
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How is recall measured in LTM retention?
Recall requires subjects to generate information on their own. The two types of recall are cued recall (fill-in-the-blank) and free recall (no cue).
Recall is a method used for measuring retention which involves the verbal reproduction or repetition of learnt material.
Recall is a technique for gauging retention that entails repeating verbatim what has been learned. Basically, it comes in two varieties: serial recall and free recall. In serial recall, previously learned material is frequently repeated in the order in which it was first learned or after a predetermined order. Many of us can only remember certain information in a specific order. For instance, we can't immediately find a name in the phone book or a word in the dictionary that starts with "Res-."
As we turn the pages, we mentally recite the alphabet from A to R, making sure that R comes after the letters O, P, and Q and before the letters S, T, and so on. Similar to this, there are those
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An object is able to move left and right along the x-axis. The blue line represents the object's potential energy as a function of position x. The red line indicates the total mechanical energy of the object. At t = 0 the object is at position Xo. At which position could the object be found at some later time? A) XA B) XB C) XC D) XA or XC E) XA, XB, or XC
The position that object could be found at some time is XA.
The application of the conservation laws for momentum and energy is crucial in particle collisions as well. This is a very strong rule because it enables us to predict the outcomes of a collision without knowing the specifics of the collision. [tex]x=\sqrt{1-\frac{\alpha }{2y} } \geq 1[/tex]According to the law of conservation of momentum, when two objects, like billiard balls, collide, their total momentum is preserved. Calculating the final velocities in two-body collisions is made possible by the assumption of momentum and kinetic energy conservation. At this point, we must make a distinction between two categories of collisions: elastic collisions and neoplastic collisions.To study about elastic collisions -
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Which of the following is equivalent to X in the nuclear equation shown below?
90Sr+ 86Kr + p⇒ 108Pd+X+n
Yes the acceptable move that proves the two equation are equivalent.
What is equivalent equation?Equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation.
Combine any like terms on each side of to the equation: x-terms with x-terms and constants with of the constants. Arrange the terms in the same by order, usually x-term before the constants. As if all of the terms in to the two expressions are the identical, then the two expressions is equivalent.
By observing both equations
In equation A : -3(x+9)=18
Divide the equation A by -3
=> (x+9)=-6
And this result equals to equation B
Hence both equations are equivalent
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Consider a graphical representation (figure) of simple harmonic motion as described mathematically in equation x(t) A cos(ur-d). When the particle is at point, P, on the graph (red dot), what can you say about its position, velocity and acceleration?
a. The position is positive, and the velocity is negative
b. The position is negative, and the velocity is positive
c. The position and velocity are both negative
d. The position and velocity are both positive
e. The acceleration is positive
f. The acceleration is negative
Consider a graphical representation (figure) of simple harmonic motion as described mathematically in equation x(t) A cos (wt+Φ). When the particle is at point, P, on the graph, then:
velocity will be negative.
acceleration 'a' is also negative.
What is acceleration?Anything that causes a change in velocity is referred to as an acceleration. You can only accelerate by changing your speed, direction, or both as velocity is a function of both speed and direction.
Equation of the graph is given by:
x(t) = A cos (wt+Φ)
differentiating with respect to t, we get-
dx/dt = - A sin (wt+Φ) w
or, v = - Aw sin (wt+Φ)
differentiating again with respect to t, we get-
d²x/dt² = -A w² cos (wt+Φ) = a (acceleration)
or, a = -A w² cos (wt+Φ)
Now, at position P,
A (amplitude) is positive.
(distance) x is positive.
velocity will be negative as A is positive, acceleration 'a' is also negative.
correct options are: a, f.
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The complete question is as follows:
Which statement best describes the period of the mass on a spring above?
Start at C, go through D, stop at E
Start at B, hop to D, back to C, then to A, stop at E
Start at A, go through B, C, and D, turn at E, go back through D, C, and B to A
Start at A, go through B, C, and D, stop at E
The statement will best describe the period of mass on spring, Start at A, go through B, C, and D, turn at E, go back through D, C, and B to A
define mass ?
The density and kind of atoms in any specific thing are referred to as the object's mass in science. Although mass can also be measured in pounds, the kilogramme (kg) is the SI unit of mass (lb).
Think of a pillowcase stuffed with feathers and one packed with bricks to rapidly grasp the notion of mass. Which one is heavier? The bricks have a larger mass because their atoms are heavier and denser. Because of this, although though both pillowcases are the same size and level of fill, one has a significantly higher mass than the other.
according to the hooks law statement will best describe the period of mass on spring, Start at A, go through B, C, and D, turn at E, go back through D, C, and B to A will describes the image.
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On his most recent trip to the running store, Andy noticed that the water bottles for his favorite hydration belt were on sale. They were usually priced at $8, but they were on sale for $5.
The store owner told Andy that he was surprised that people were not only buying more water bottles due to the sale, but also more of the hydration belt, even though the belts were not on sale.
Based on the scenario above, what type of goods are the water bottles and hydration belts?
Explanation: It is not clear from the information given what type of goods the water bottles and hydration belts are. The only information provided is that they are sold at a running store, which suggests that they may be related to running or fitness. However, without more information it is impossible to determine their specific type or classification.
which of the following is not in uniform circular motion? responses merry-go-round that is 10.0 m in diameter and rotating at 2 rpm
A satellite in orbit that moves quickly close to the earth and slowly farther away is not in uniform circular motion .
The movement or motion of a body in a circular direction at a constant speed is known as a uniform circular motion. By taking a tangent at each place of such a body, one may determine the direction of motion.Now based on the choices provided such as ,
A CD in a CD player is rotating and moving circulatory at a steady speed. It is moving consistently in a circle.The speed of the satellite varies in relation to its distance from the earth, therefore it is not moving in a perfect circle.Jet fighters travel in a consistent circular motion since their speed is also predetermined and constant.Therefore, merry-go-round will also be moving uniformly in a circle because of its continuous rotations per minute.
The complete question is here,
Which of the following is not in uniform circular motion? CD in a CD player spinning at 45 rpm orbiting satellite that speeds up near the earth and slows down far away jet fighter making a high-speed loop at 600 m/s merry-go-round that is 10.0 m in diameter and rotating at 2 rpm
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Each lightbulb provides 90 M of resistance. The batteries are 1.5 V. Calculate the current in your circuit.
The current in the circuit will be 0.0167 Amperes when a light bulb is providing resistance and the batteries with 1.5 voltage.
What is current?A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is measured.
What are the calculations?To calculate current the formula used is V= IR
1.5/90 = I
0.016 A = I
What is a circuit?Electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected via conductive wires or traces that allow an electric current to pass between them.
Hence, the current in the circuit will be 0.0167 Amperes when a light bulb is providing resistance and the batteries with 1.5 voltage.
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Which of the following statements about spherical mirrors is correct? (There could be more than one correct choice.)
A - A concave mirror always produces a virtual image.
B - A convex mirror always produces an upright image.
C - A concave mirror always produces a real image.
D - A convex mirror always produces a real image.
E - A convex mirror always produces a virtual image
Convex mirror always produces virtual images is the correct option.
A real image is not always formed by a concave mirror , concave mirror's rays do not converge, and it is only when the rays do converge that a real image is formed.When the subject is maintained between the main focus and the mirror's pole, a virtual image is also created by the concave mirror. Behind the mirror is where the image is created. The image is therefore virtual, upright, and enlarged.A concave mirror creates a real, reversed image in all the other scenarios.As a result, depending on the object distances, a concave mirror can create both real and virtual images.Virtual images are always created by convex mirrors. This is so because the convex mirror's focal point and curvature center are fictitious points that are impossible to reach. As a result, the image is created inside the mirror and cannot be displayed on a screen.To study about Convex mirror -
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two horizontal force are exerted on a large crate. the first force in 1200N to the right. the second force is 650 N to the left. the crate is initially at rest. five seconds later, its velocity is 7.5m/s to the right. what is the mass of the crate
With the knowledge of kinematic and dynamics, the mass of the crate is 366.7 kg
What is Force ?Force can simply be defined as a pull or push. It is the product of mass and acceleration. It is a vector quantity.
Given that two horizontal force are exerted on a large crate. the first force in 1200N to the right. the second force is 650 N to the left. the crate is initially at rest. five seconds later, its velocity is 7.5m/s to the right.
Let us first list all the parameters involved
Net Force F = 1200 - 650 = 550 NInitial velocity u = 0Time t = 5 sFinal velocity v = 7.5 m/sAcceleration a = ?Mass m = ?The net Force F = ma
We can find acceleration with formula
v = u + at
7.5 = 0 + 5a
5a = 7.5
a = 7.5/5
a = 1.5 m/s²
Then, F = ma
550 = 1.5m
m = 550/1.5
m = 366.7 kg
Therefore, the mass of the crate is 366.7 kg
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does wi-fi, cellphone or microwave radiation cause serious damage to our bodies? why or why not?
Answer: No. Wifi, Cellphone or Microwave radiations does not affect human health.
Explanation:
There is no scientific studies that prove that non iodizing radiation have an adverse effect on human health. Any forms of cellular or satellite communications use non iodizing radiations. So even we use them for extended period of time they seems to be quite safe. As for microwave as well as radio waves and visible light , they all are non iodizing radiation. The one that may cause any ill effect on human body will be the UV radiations which is not in any of these. So all these are quite safe to use and amazing technology to make human lives better.
Natural selection can alter a species in small ways, causing a population to change color or size over the course of several generations, according to The Natural History Museum(opens in new tab). When this process happens over a relatively short period of time and in a species or small group of organisms, scientists call it "microevolution."
One method of evolution is natural selection. More environment-adapted organisms are more likely to survive and pass on the genes that contributed to their success. Over time, species change and diverge as a result of this process.
As a result of natural selection, reproductive individuals pass on genetic changes that are advantageous to their progeny's survival. New creatures are created as a result, and they have a higher chance of surviving and reproducing.
For instance, giraffes have an advantage over other species because of their long necks, which have evolution to allow them to eat leaves that other species cannot. Longer-necked individuals were able to breed and pass on their trait to the next generation because they had access to superior food sources. Shorter-necked individuals would be less likely to survive and pass on their genes as a result of having fewer food availability.
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various processes and events can obscure impact craters that are present on the surface of a moon or planet. separate the items into those that obscure impact craters and those that are not likely to obscure impact craters
Plate tectonics, comet strikes, enormous floods, including wind-blown sediments hide or deteriorate impact craters, whereas the following do not: radiation degradation and solar heating.
What does "moon science" mean?An object that circles a planet or another object that doesn't belong to a star is called a moon. Moons can also orbit exoplanets, large comets, and other things in addition to planets. Moons are also referred to as natural satellites since they orbit other objects, which is another name for a satellite.
A moon personality is what?Your appearance shows the roiling cauldron of emotions, worries, longings, and obsessions that lies beneath your sun sign-based identity. It emphasizes the real self, along with its motivations and issues.
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A spaceship is moving in a straight line on it's way to a planet . The pilot sees that the planet is ahead and to the left .She claims that she does not need to use the engines to push the ship toward the planet . Explain why the pilot is corrrect or incorrect ?
The pilot is correct since the planet's gravitational force will drag the spaceship toward the planet on its own.
What is gravitational force?Gravity, also known as gravitational force, pulls things with mass toward one other. Gravitational pull from Earth is a topic that we frequently consider. This force is responsible for keeping the body on the ground. Any item with mass, on the other hand, exerts a gravitational attraction on all other things with mass.
The gravitational force is called attractive because it constantly strives to bring masses together rather than pushing them apart. It is obvious that the gravitational force directly relates to the masses of the two interacting objects; larger, more massive objects will pull apart with a stronger gravitational force.
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your apparent weight is equal to your weight group of answer choices in an elevator accelerating upwards.
inside a moving elevator, in free fall
Do you weigh the same inside an elevator?
We shall weight ourselves when the elevator is travelling at our normal weight. Because we are currently moving up or down the elevator at the same speed, nothing is changing our weight. However, once the elevator begins to move or stops, our bodies resist it.
What is the apparent weight when the elevator is running?
If the elevator accelerates downward, an is negative and the apparent weight is less than the real weight. There is no weight discernible if the elevator descends naturally. The apparent weight is zero because when a human and a scale are falling freely, they cannot clash.
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Classify each phase change based on whether it describes a transition between a gas and a liquid, a gas and a solid, or a liquid and a solid.
The classification of the phase changes include the following:
A gas and a liquid= Condensation and evaporation.
A gas and a solid= sublimation and deposition
A liquid and a solid= freezing.
What is phase change?Phase change is defined as the ability of matter to change from one form to another ( solid, liquid or gas) due to changes in its surrounding environment.
The classification of 0hase changes include the following:
Condensation : This is the change of gas to liquid.Evaporation: This is the change of liquid to gas.Sublimation: This is the change of solid to gas.Deposition: This is the change of gas to solid.Freezing: This is the change of liquid to solid.Therefore, in the classification of pase change of matter, A gas and a liquid= Condensation and evaporation, a gas and a solid= sublimation and deposition, a liquid and a solid= freezing.
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b
3.5 Press
The seesaw will balance when the moments on both sides are equal.
Zara weighs 400 N.
Calculate the distance from the pivot to where Zara should sit to
balance the seesaw.
Show your working and give the unit.
Because Newton as Pressure = Thrust/Area, the answer will be 7.5.
What happens when two kids of different weights balance on a seesaw and each generates an equal amount of torque in the opposing direction?The rotating equivalent of Newton's first law is this. When each child's weight exerts an equal amount of torque about the pivot in opposing directions, two kids can balance on a seesaw (clockwise and counter clockwise).
Can two people of different weights balance on a seesaw?The idea of the seesaw You are probably aware that any two people, regardless of their weights, can balance each other while seated on opposite sides of a seesaw. All that is required is for each individual to contribute an equal moment, which is determined by multiplying the person's weight by the distance from the fulcrum.
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The water supply of a building is fed through a main pipe 6.00 cm in diameter. A 2.00−cm -diameter faucet tap, located 2.00 m above the main pipe, is observed to fill a 25.0−L container in 30.0 s . (a) What is the speed at which the water leaves the faucet? (b) What is the gauge pres- sure in the 6 -cm main pipe? (Assume the faucet is the only "leak" in the building.)
The pressure difference in the 6 cm supply line is 2.31 * 10⁴Pa, and the rate at which water exits the valve is 2.65 m/s.
What do distance and speed mean in physics?The ability of an object to move quickly or slowly is a very fundamental idea in motion. Distance is exactly proportional to velocity if time is constant, hence speed is merely distance divided by time. You will be asked to perform calculations for one of three supplied variables in incidents affecting speed, distance, and time.
Briefing:The primary pipe's R1 radius is 3.0 cm.
The faucet's radius is R2 = 1.0 cm.
The faucet's height is h = 2.0 cm.
(a) The flow rate
[tex]$$\mathrm{R}=\mathrm{Av}=\frac{25 \mathrm{~L}}{30}=0.833 \mathrm{~L} / \mathrm{s}=833 \mathrm{~cm}^3 / \mathrm{s}$$[/tex]
The area of faucet [tex]$\mathrm{A}_2=\pi r_2{ }^2$[/tex]
[tex]$$=\pi(1 \mathrm{~cm})^2=\pi \mathrm{cm}^2$$[/tex]
then the speed
[tex]$$\begin{aligned}\mathrm{v}=\frac{\mathrm{R}}{\mathrm{A}} & =\frac{833 \mathrm{~cm}^2 / \mathrm{s}}{\pi \mathrm{cm}^2}=265 \mathrm{~cm} / \mathrm{s} \\& =2.65 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
b) from continuity equation
[tex]$$\begin{aligned}A_1 v_1 & =A_2 v_2 \\\text { then } \mathrm{v}_1=\frac{A_2 v_2}{A_1} & =\frac{(\pi)}{\pi(3 \mathrm{~cm})^2}(265) \\& =0.295 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
From Bernoulli's theorem
[tex]$$\begin{aligned}\mathrm{P}_1 & +\frac{1}{2} \rho v_1^2+\rho g y_1=\mathrm{P}_2+\frac{1}{2} \rho v_2^2+\rho g y_2 \\P_1-P_2 & =\frac{1}{2} \rho\left(v_2^2-v_1^2\right)+\rho g\left(y_2-y_1\right) \\& =\frac{1}{2}\left(10^3\right)\left[(2.65)^2-(0.295)^2\right]+\left(10^3\right)(9.8)(2) \\& =2.31 \times 10^4 \mathrm{~Pa}\end{aligned}$$[/tex]
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Shaundra drove the same route to work each morning, Monday through Friday, in a particular week. On Monday and Tuesday she averaged 20 miles per hour, and on her three remaining work days she averaged 30 miles per hour. Quantity A Shaundra's average speed for all five morning commutes
Quantity B 26 miles per hour
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity B is greater is the correct option.
Let us consider the distance she drives per day is ' d '. For the 5 days, she drives 5d.
Given that, Shaundra averaged 20 miles per hour on monday and tuesday
Shaundra averaged 30 miles per hour on wednesday, thursday and friday
The time that she drives on monday and tuesday is nothing but the ratio of distance and speed i.e, d/20. The time that she drives on wednesday, thursday and friday is d/30.
The total time that can be calculated from the above information is:
⇒ 2 * d/20 + 3 * d/30 = d/5
The formula for average velocity can be written as total distance upon total time.
Average velocity = Total distance/ total time
Total distance is calculated as ' 5d '
Total time is calculated as ' d/5 '
So, average velocity = 5d / d/5 = 25
Thus, the average velocity is calculated to be 25 miles per hour.
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