Answer:
50 m/s
Explanation:
Half of its Potential Energy (mgh) will have been converted to Kinetic Energy ( 1/2 mv^2)
1/2 mgh = 1/2 mv^2
gh = v^2
10(250) = v ^2 v = 50 m/s
The velocity of the stone halfway through the fall will be approximately 50.0 m/s.
To calculate the velocity of the stone halfway through its fall, we can use the kinematic equation for free fall
v² = u² + 2as
Where:
v is the final velocity,
u is the initial velocity,
a is the acceleration due to gravity (g),
and s is the distance fallen.
Given that the stone falls freely, the initial velocity u is 0 since it starts from rest.
The distance fallen halfway through the fall can be calculated by dividing the total distance fallen by 2.
s = 250.0 m / 2 = 125.0 m
Plugging these values into equation, now we solve for v:
v² = 0² + 2 × 10.0 m/s² × 125.0 m
v² = 0 + 2500 m²/s²
Taking the square root of both sides to find v:
v ≈ √2500 m²/s²
v ≈ 50.0 m/s
Therefore, the velocity of the stone halfway through the fall is approximately 50.0 m/s.
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Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s. What makes this interesting is that he juggles three balls as he runs the distance. Suppose Hout throws a ball up and forward at twice his running speed and just catches it at the same level. At what angle, θ, must the ball be thrown? (Hint: Consider horizontal displacements for Hout and the ball.)
Answer:
60 degrees
Explanation:
The ball must be thrown at an angle 60°.
Given parameters:
Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s.
Hout throws a ball up and forward at twice his running speed and just catches it at the same level.
So, Speed of the ball = 2× 5.82 m/s. = 11.62 m/s.
The angle at which the ball thrown = θ.
According to the question,
Horizontal component of speed of the ball = Speed of Hout
⇒ 11.62 cosθ = 5.82
⇒ cosθ = 0.5
⇒ θ = 60°.
Hence, the ball must be thrown at 60° angle.
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consider a neutron star with a mass equal to the sun, a radius of 11 km , and a rotation period of 1.0 s . what is the speed of a point on the equator of the star?express your answer with the appropriate units.
At equator line the speed of the star is 69115 m/s
When a big star runs out of heat and collapses, neutron stars are created. Every proton and electron in the star's core, or most central region, fuse into neutrons as it falls. These freshly generated neutrons can stop the collapse, leaving a neutron star behind, if the core of the collapsing star is between one and three solar masses.
Radius is 11 km
Period of rotation is 1 second
Converting radius to meters:
11 km = 11 x 10^3 = 11000m
We know that the velocity relation is v = 2πr/T
v = 2 x π x r / 1
v = 2π x 11000
v = 69115 m/s
Hence the speed of the star at the equator is 69115 m/s
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catia when looking at an image of an object, what enables you to notice the surfaces and edges more clearly?
Orthographic projection enables you to notice the surfaces and edges more clearly.
What helps you to notice the surfaces and edges more clearly?Means of representing three-dimensional objects in two dimensions is called Orthographic projection.
Orthographic views helps us to represent a 3D object in 2D on a drawing. It can show an object viewed from each direction.
An orthographic projection has three views: front view, top view and side view. The right side is used for the side view but if the left side is used then it will be clearly labeled in the drawing. The final drawing is known as a 3 view drawing.
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male lions and human sprinters can both accelerate at about 10.0 m/s2. if a typical lion weighs 170 kg and a typical sprinter weighs 75 kg, what is the difference in the force exerted by the ground during a race between these two species? (both the forward and normal forces should be calculated.)
The difference in the force exerted by the ground during a race between these two species is 259.25
What is force?Forces are influences that can change the movement of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.
Force exerted by the lion:
Normal force = mg
170 = m × 9.8
m = 17.34 kg
Forward force = ma
= 17.34 × 10.0
= 173.4 N
Total force = Normal force + Forward force
Total force = 170 + 173.4
= 343.4 N
Force exerted by the man:
Normal force = mg
75 = m × 9.8
m = 7.65 kg
Forward force = ma
= 7.65 × 10.0
= 76.5 N
Total force = Normal force + Forward force
Total force = 7.65 + 76.5
= 84.15 N
The difference in the forces exerted by these species is:
343.4 N - 76.5 N = 259.25 N
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a 1621 kg car is traveling down the road at 84.6 km/h. while traveling at this rate of speed, what is the kinetic energy of this vehicle in kilojoules?
The kinetic energy of the car in kilojoules is 447 KJ.
The kinetic energy of the car is, E = 1/2 m[tex]v^{2}[/tex]
The velocity of the car is, v = v (1000m/3600s)
V = 23.5 m/s
The kinetic energy of the car in joules is,
E = 1/2m[tex]v^{2}[/tex]
E = 1/2 (1621)(23.5)
E = 447KJ
An object's kinetic energy is the power it draws from movement. It is described as the amount of effort required to accelerate a body of a specific mass from rest to its specified velocity. The body keeps its kinetic energy after gaining it during acceleration, barring changes in speed. When slowing down from its current pace to a condition of rest, the body expends the same amount of energy. Any term in a system's Lagrangiam that has a derivative with respect to time is formally referred to as having kinetic energy.
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Where do you predict the energy that is not transferred into the electrical grid is lost as it moves from
system to system?
The energy that is not transferred into the electrical grid is lost as heat as it moves from system to system.
The electricity that is produced in power stations reach the consumers through a complex system of electric cables and grid. The grid usually means transformers which is used to step up and step down the voltage when necessary.
The first transformer from the power plant steps up the voltage of the current for the purpose of long distance transmissions. Before entering the household another transformer steps down the voltage to avoid short circuiting the electrical appliances. During all these processes the current is carried through electrical lines. Due to its contact with the atmosphere some energy is lost has heat in the air.
Therefore, the energy that is not transferred into the electrical grid is lost as heat as it moves from system to system.
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Mars has an orbital period of 4333 earth days, find the semi major axis of it's orbit
Answer:372
Explanation:
If you drive at 120km/hr for 5 hours, how far will you go?
Distance:
Speed:
Time:
The distance of the travel covered within 5 hours with a speed of 120km/hr is the product of time and this speed and it is 600 km.
What is velocity?Velocity of a substance is the measure of distance travelled per unit time. Thus it is the ratio of distance to time.In physics, velocity is the rate of speed.
Velocity = distance/time.
Hence, as the time taken for the travel increases velocity will decreases. The time given here is 5 hours and the speed of the vehicle is 120 km/hr. Hence, the distance can be calculated as follows:
Distance = time × speed
= 5 hr × 120 km/hr
= 600 km.
Hence, if you drive at a speed of 120 km/hr for 5 hours you will cover a distance of 600 km.
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a solid disk of mass m and radius r undergoes an acceleration a. a second disk also with a mass m only accelerates at a/4 when the same torque is applied. what is the radius of the second disk?
A solid disk of mass m and radius r undergoes an acceleration a The radius of the second disk is 4m.
The resistance of the body to acceleration (change of velocity) in the presence of a net force is also measured. The gravitational pull of an object to other bodies is also influenced by its mass.
The kilogramme serves as the mass basis unit in the SI (kg). In physics, mass is not the same as weight, despite the fact that weight is frequently measured using a spring scale as opposed to a balance scale and direct comparison with known masses to calculate mass. The lower gravity on the Moon causes an object to weigh less than it does on Earth, but it still has the same mass. Given that mass is a property of space rather than a force.
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The parachutist’s mass is 70kg. The plane is 12km above the ground. How much GPE does the parachutist have?
Answer:
8.2x10^2 Joules
Explanation:
Assuming that GPE means potential energy of the parachutist, and he/she is doing this on Earth, we can find their potential energy, (PE) with the equation:
PE = mgh, where m is the mass of the parachutist in kilograms, g is the acceleration due to gravity [9.8 m/s2 for Earth (near surface)] and h is the height in meters.
m = 9.8 m/s^2
h = 12,000 meters (12 km)
m = 70 kg
PE = (70kg)(9.8 m/s^2)(12,000 m)
PE = 823,200 kg*m^2/s^2
PE = 8.2 x 10^2 kg*m^2/s^2
(1 kg*m^2/s^2) is the SI equivalent to a Joule.
The potential energy is 8.2x10^2 Joules
What is the density of a liquid if a volume of 0.025 L has a mass of 0.034 Kg? Express the result in g/cm3?
Answer: density = 1.36g/cm3
Explanation: 0.025L = 25cm3 and 0.034kg = 34 grams
Density= mass/volume
= 34/25
= 1.36g/cm3
Answer:
Explanation:
Given:
V = 0.025 l; or V = 25 cm³
m = 0.034 kg = 34 g
______________
ρ - ?
ρ = m / V
ρ = 34 / 25 = 1.36 g/cm³
you are designing a symmetric double convex lens that is made of glass with index of refraction equal to 1.33 and has a focal length of 0.165 m. what curvature radius of the lens surface should you use (in m; answer a positive number)?
The curvature radius of the lens surface is 0.1089 meters.
The convex lens is a lens that converges rays of light that convey parallel to its fundamental axis (i.e. converges the incident rays toward the main axis) which is highly thick throughout the middle and skinny at the decrease and higher edges. the edges are curved outward in preference to inward.
Calculation:-
Since the double convex is symmetric in nature,
R₁ = R
R₂ = - R
Given, Refractive index (n) = 1.33
The focal length of the double convex lens (l) = 0.156
Now,
1/f = (n-1) (1/R₁ - 1/R₂)
1/f = (n-1) (1/R + 1/R)
1/f = (n-1) × (2/R)
R = 2(n-1)f
= 2 × (1.33 - 1) × 0.165 meter
= 0.1089 meter
Hence, the radius of curvature of the lens surface is = 0.1089 meter
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the sum of all the underlying causes can push a slope to the brink of failure, and then an immediate cause may trigger the movement. triggers for mass movements include:
For mass movements, gravity is the primary driving force. A trigger is frequently present in mass-wasting occurrences.
It could be caused by human operations like grading a new road, quake shaking, super volcano, storm waves, or storm-related waves. Mass-wasting is most frequently caused by an increase in water content in the slope. Rapidly dissolving snow or ice, as well as a heavy downpour, can cause the water content to rise. The force of gravity pulls everything towards to the Earth’s centre from every point on its surface. Gravity pulls downward on a level surface that is also parallel to the surface of the Earth. The stability of the consolidated and poorly consolidated earth materials can be compromised by gravity, increasing moisture content, and seismic events. The earth material slides down slope due to the compromised stability, a process known as mass wasting.
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how would stellar parallax observed from saturn differ from the stellar parallax we observe from earth?
Saturn is undergoing an apparent retrograde movement period as the Earth moves closer to Saturn in its orbit and then both planets are located on the side of the Sun. Stars that are nearer to us will exhibit higher parallax, similar to how it occurs on Earth.
The star parallax of the Earth is quite modest, barely 0.03 seconds of arc. It would be difficult to see against the backdrop of stars, even with a good telescope.
The angle between the Earth's place at a single time of year and the Earth 6 months later, as determined from a nearby star, is known as the parallax angle. This angle is used by astronomers to calculate how far away that star is from Earth.
We may calculate the distance to a nearby planet using the method described before, s. Now, measuring from an observation point O, we determine the angle the planet occupies, which is. Therefore, P1P2=d, where d is the planet's diameter. As a result, we may use the parallax method to calculate the radius of a neighboring planet.
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what kind of motion is a uniform circular motion? does the body have an acceleration in a uniform circular motion?
A uniform circular motion is one in which the velocity of the object remains constant. This means that the object is moving with a constant speed and in a circle, without acceleration.
In this type of motion, the acceleration is zero. Acceleration is defined as a vector quantity, which means that it has both magnitude and direction. In this case, both magnitude and direction are zero, so there is no acceleration—the body moves in a straight line at constant speed in a circle.
A body has an acceleration when it is changing its velocity, either increasing or decreasing it. An example would be stopping on a highway, where your foot would push down harder on the gas pedal to increase your speed while going around a curve, then slowing down as you straightened out again.
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. an object is placed 53.0 cm in front of a diverging lens. what is the focal length if the distance between object and the image is 30.0 cm?
If there is a distance between the object and the image, the focus length is -0.021cm.
How long is the focal point?A lens's focal length is established when it is focused at infinity. We can determine the magnification—how large individual elements will be—and the angle of view—how much of the scene will be captured—by knowing the focal length of the lens. The narrower the field of view and higher the magnification, the longer the focal length.
Distance from object to picture d= 30 cm.
object distance = 53cm
We must determine the object's distance.
u - v =d
u = 30+53
u = 83cm
We must determine the focus length.
Using the lens
1/f = 1/v -1/u
in the formula, include the value
1/f = 1/-30 -1/83
1/f = -0.021cm
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The xylem tube which transports sap to the top of a tree can be considered as uniform cylinders if the transport of sap is entirely due to capillarity determine the diameter of the tube which will move the sap up a tree which is 25m tall.take the surface tension of sap to be 5*10^-2 s.g is 1 g is 9.8 an
The wide wood pores that link to the tree's roots allow sap to be drawn up into the maple tree when it starts to freeze. The tree is really replenishing itself with fluids at this time from its roots.
As long as the temperature is below freezing and the sap is increasing, the process continues.
How does the xylem sap of tall trees go from the roots to the top?Water is drawn up from the roots to the top of the plant according to the cohesion-tension hypothesis of sap ascent. Water and minerals travel upward from the roots through the xylem due to a negative water potential gradient created by the evaporation of mesophyll cells in the leaves.
The water potential gets increasingly negative as you climb the tree, and these variations provide a pull or tension that causes the water to ascend the tree. The loss of water from the leaves through a process called transpiration is a crucial element in the draw of water up the tree.
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if you had something the size of a sugar cube that was made of white dwarf matter, it would weigh about as much as
If you had a sugar cube that was made of white dwarf matter, it would weigh about as much as an elephant.
White dwarfs are the smallest type of stars in the universe, and they have a density of around 100 million times greater than that of water. This means that if you took a sugar cube that was made entirely out of white dwarf matter and put it on your kitchen counter, it would weigh about as much as an elephant!
But don't worry—you're not going to find any white dwarfs at your local grocery store or restaurant. White dwarfs are formed when red giants collapse in on themselves after burning through their fuel. And if you did happen to find one, you'd need a really big countertop.
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gigi used to do a lot of yoga, so she had great range of motion. however, she has not been able to exercise for several months and is planning on getting back into yoga. what range of motion should she expect in her first yoga class back after such a long break?
She has probably lost some of her range of motion.So Full Range of Motion should she expect in her first yoga class back after such a long break.
Due to the distinctive design of our skeletal system, the range of motion is defined as the way our bodies move through space. especially how the bones adhere to one another at the joints. Because of each person's unique skeletal structure, every joint in the body has a defined range of motion. A joint's range of motion (ROM) refers to how far it can move actively or passively in a given direction. As opposed to passive ROM, which occurs when an external force moves the joint, active ROM occurs when muscles do so. There are active and passive joints (hip, knee, shoulder) and regions of the spine (neck). Performing yin yoga helps to dissolve adhesions in these tissues, restoring their ability to move freely. Vinyasa yoga extends your range of motion as well.
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a race car traveling at a constant speed of 50 m/s drives around a circular track that is 500 m in diameter. what is the magnitude of the acceleration of the car
The magnitude of the acceleration of the car was 10m/s^2
what is magnitude?
Magnitude is defined in physics as an object's maximal size and direction. Magnitude is utilised in vector and scalar variables as a common factor. Scalar quantities, by definition, are those with only magnitude. Whereas vector quantities have both magnitude and direction.
Magnitude can be used in a variety of contexts. Some of them include
The magnitude of the earthquake
Charge magnitude on an electron
Force magnitude
The magnitude of the displacement
Gravitational force magnitude
acceleration (a)= v^2/r
v=speed
r=radius
d=diameter=500
r=d/2=500/2=250
a= 50^2/250
=10 m/s^2
Therefore the acceleration was found to be 10m/s^2
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what is the magnitude of the net displacement of a point on the rim of the blade during the deceleration?
The net displacement of a point on the blade's rim as a result of the deceleration is 10.0 in. or 0.254 m..
In reality, the term "deceleration" refers to an acceleration that has been reversed. We are aware that deceleration is the rate at which an object slows down and that acceleration is the pace at which an object accelerates. For instance, when we apply the brakes while driving, we are employing the benefits of deceleration to lower the speed of the car.
When we sense ourselves going forward in relation to the car while driving, we are decelerating. Deceleration in this context is a specific case of acceleration that only applies to moving things. It is hence the speed at which an object slows down.
Since acceleration must be reported as both a magnitude and a direction, it is a vector. Whenever there is one-dimensional motion.
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On a wet road, is a higher coefficient of friction on the tires safer or a lower one and pls explain I don’t get it. I would love to make this question worth more points but someone stole all 20 points without helping me, I’m rlly exhausted please help
When a solid becomes a liquid, the particles
slip and slide past each other
are vibrating
are in a lattice structure
bounce off each other
solid particles vibrate and slip past each other when they become liquid.
A science class is observing how heat flows from one
object to another by melting ice and boiling water.
Which statements correctly describe how heat flows?
Choose the two statements that apply.
The coolness of the ice is flowing into the warm
water and decreasing its temperature.
The coolness of the water is flowing to the burner
and cooling it.
The warmth from the water is flowing to the ice
and melting it.
The warmth from the burner is flowing to the cold
water and increasing its temperature.
The warmth from the water is flowing to the ice and melting it and The warmth from the burner is flowing to the cold water and increasing its temperature.
What is the flow of heat called?Convection, which is essentially the mass transfer of heat, is the process by which heat is moved from one place to another by the movement of fluids. The transport of heat into the atmosphere involves one of three processes: radiation, conduction, or convection.
What happens during heat flow?Heat flow occurs when a hot object transmits its heat through a conductors to a cooler, similar to how high-energy objects impart their power to low-energy objects. How well a conductor transfers heat will impact how quickly and how much heat is transported.
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a hybrid electric vehicle is submerged under water. a rescue squad member consults automotive technicians for information regarding safety precautions. technician a says that there is no danger of electrical shock from touching the body of the vehicle or the frame in or out of the water. technician b says that the vehicle will detect a ground fault and open the hv relays. which technician is correct?
All lines carrying current to and from a motor are passed through the window of a specialized current transformer known as a ground fault sensor in order to detect ground fault current.
Explain about the ground fault detected?Ground fault relays (or sensors) are used to detect ground faults with low magnitude. The control system instructs the circuit disconnect to open when the G.F. relay pick up setting is reached by the ground fault current magnitude and time.
An overvoltage relay can therefore be fitted to either directly monitor the voltage at the wye point or to detect the secondary voltage of a transformer that has been installed between the wye point and ground in order to identify the fault
No appreciable current will be created in the sensor secondary if all of the current to the motor returns through the lines in the sensor window.
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an object of mass 10.0 kg is initially at rest. a 100 n force causes it to movehorizontally through a distance of 6.00 m along a frictionless surface. what is the changein the kinetic energy of this object?
The change in the kinetic energy of this object is 600 J, when an object of mass 10 kg is initially at rest, and 100 N force cause it move horizontally at a distance of 6 m.
Mass of the object = 10kg
Force = 100N
Distance = 6m
Change in kinetic energy of this object =Δ KE
Expression for the change in the kinetic can be given as follows:
Δ Kinetic Energy = W
,W is the workdone on the object.
This is given by the formula below,
W= F *d
Hence,
Δ KE = F × d
Δ K.E= (100N × 6m)
Δ K.E. = 600Nm
Δ K.E. = 600 Joule
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a playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.600 rev/s. what is its angular velocity (in rev/s) after a 21.0 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
The value of the final angular velocity = 0.44 rev/s
How to calculate the angular velocity?Let Initial angular momentum = [tex]L_{i}[/tex]
Let Final angular momentum = [tex]L_{f}[/tex]
Here, mass of merry go round = [tex]m_{m}[/tex] = 120 kg
radius= r = 1.8 m
initial angular velocity = [tex]w_{i} = 1.2 \pi[/tex]rad/s
mass of the child = [tex]m_{c}[/tex] = 21kg
By law of conservation of angular momentum,
[tex]L_{i}=L_{f}\\\\I_{m}w_{i}=I_{m+c} w_{f}\\\\w _{f} =\frac{I_{m}w_{i}}{I_{m+c}}[/tex]
Here, substitute [tex]I = \frac{mr^{2} }{2}[/tex]
[tex]w _{f} =\frac{I_{m}w_{i}}{I_{m+c}}\\\\w _{f} =\frac{\frac{m_{m}{r _{m}}^{2}}{2} w_{i}}{\frac{m_{m}{r _{m}}^{2}}{2}+{m_{c}r_{c}}^{2} }\\\\w _{f}= \frac{\frac{120(1.8)^{2} }{2} *1.2\pi}{\frac{120(1.8)^{2} }{2} +21(1.8)^{2}}\\\\w _{f} = 2.8 rad/s[/tex]
The value of the final angular velocity = 2.8 rad/s
=2.8/2 π
= 0.44rev/s
What is angular velocity?The rotation rate, which refers to how quickly an object rotates or revolves in relation to another point, is measured vectorially using angular velocity. The speed at which an object rotates or revolves around an axis is known as its angular velocity. Because a point on a rotating object constantly changes direction, it is challenging to determine the direction of the angular velocity. The rotating object only has a fixed direction at its axis.To learn more about angular velocity, refer:
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looking at your spectroscope, you see several discrete, clearly defined lines. what is one possible source for this spectrum
Looking at your spectroscope, you see several discrete, clearly defined lines. The one possible source for this spectrum is fluorescent lamp.
What is fluorescent lamp?
A fluorescent lamp is a low pressure mercury lamp or discharge bulb. When the light spectrum emitting from the fluorescent bulb fall on the spectroscope, it releases several discrete lines.
In this lamp, fluorescence source is used which produces visible light when it lights up.
Moreover, a fluorescent lamp alters electrical energy into chemical energy or light more efficiently than the incandescent lamp.
Simply put, fluorescent lamps are more efficient than other lamps and are mostly used for commercial and outdoor application as they use 75% less electricity.
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which layer of the atmosphere is the hottest due to the large amount of kinetic energy of it's molecules
The hottest part of the atmosphere is called the thermosphere.
This region is the hottest because UV rays cause ionization, and because solar radiation is absorbed here, temperature rises with altitude.
What are the atmospheric layers?The troposphere, stratosphere, mesosphere, and thermosphere are the four principal layers of the atmosphere. Depending on how it is defined, the atmosphere's thickness ranges from 100 to 10,000 kilometers.The troposphere is generally warm at the base and cools as it rises. At its base, the stratosphere is quite cool, but as you ascend, it becomes hotter.Ozone generation generates heat, which causes temperatures to rise from an average of -60°F (-51°C) at the tropopause to a maximum of roughly 5°F (-15°C) at the top of the stratosphere. Because of the temperature gradient with height, warmer air is found above cooler air.To learn more about atmospheric layers refer to:
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what is the maximum mass that can hang without sinking from a 50.0- cm -diameter styrofoam sphere in water? assume the volume of the mass is negligible compared to that of the sphere.
One form of StyrofoamTM product, commonly used in craft projects, is Styrofoam balls. The spherical polystyrene foam objects known as Styrofoam balls range in diameter from one inch (2.54 cm) to eight inches (20.3 cm). The uses for Styrofoam balls in crafts are incredibly diverse.
Calculating the ball's volume using
V = 4/3 * pi * r3
r = 10 cm = 0.10 m.
V = 0.00418 m^3
The mass of the water with a volume of 0.0446 m3 is equal to m =??
V = 0.00418 m3,
and d = 1000 kg/m3.
m=V*dm=0.00418*1000=4.18 kg
then determining the styrofoam ball's mass.
V = 0.00418 m3
d = 32 kg per m3, which equals m = 0.00418 * 32 m = 0.1337 kg.
Finding the necessary mass to place on the ball's surface.
The distinction is what you'll need to put on the ball.
4.18 - 0.1337 = 4.046 kg ans.
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