Each element's spectra are distinct because each element has a different amount of electrons and hence various energy levels.
Astronomers can identify not only the element, but also the temperature and density of that element in the star, using spectral lines. The spectral line can also inform us about the star's magnetic field. The line's width can tell us how rapidly the material is travelling. This teaches us about the winds in the stars. Because the emission spectrum differs for each element of the periodic table, it may be used to establish the composition of a substance. One example is astronomical spectroscopy, which involves analyzing received light to determine the composition of stars. Since various elements contain varying quantities of protons and varied numbers and configurations of electrons, their spectra differ. Differences in spectra indicate variances in the amount of energy absorbed or released by atoms when their electrons travel between energy levels.
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if both the speed and stopping distance of a driver are doubled, by what factor does the force exerted on the driver change? g
If both the speed and stopping distance of a driver are doubled, the force exerted on the driver will be reduced by a factor of 2 (or 50%).
The force exerted on the driver when stopping a car is given by the formula:
[tex]F = (mv^2) / (2d)[/tex]
Where:
m = mass of the car
v = velocity of the car before braking
d = stopping distance
If both the speed and stopping distance of the car are doubled, then the new velocity and stopping distance will be 2v and 2d, respectively. Therefore, the new force exerted on the driver will be:
[tex]F' = (m(2v)^2) / (2(2d))[/tex]
[tex]F' = (4mv^2) / (4d)[/tex]
[tex]F' = (mv^2) / d[/tex]
Comparing this to the original formula for force, we can see that the new force exerted on the driver is simply half of the original force:
[tex]F' = (mv^2) / d = 1/2 * (mv^2) / (1/2 * d) = 1/2 * F[/tex]
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a person flying in a plane over easter island notices that the water around the island appears bluer than the surrounding water. what property of light waves causes the water to be a different color to the observer?
The property of light waves that causes the water around Easter Island to appear bluer than the surrounding water is called "scattering". Scattering occurs when light waves interact with particles in the atmosphere or in a medium such as water.
In the case of the water around Easter Island, the blue color is due to the scattering of sunlight by the water molecules in the ocean. Sunlight is composed of different wavelengths of light, and when it enters the ocean, the water molecules scatter the shorter, blue wavelengths more than the longer, red wavelengths. This means that more of the blue light is scattered in all directions, including towards the observer in the plane, making the water appear blue.
The blueness of the water is more noticeable around Easter Island because the island is surrounded by deep ocean water, which absorbs longer wavelengths of light and allows more of the blue light to be scattered. In contrast, the surrounding shallower waters or other parts of the ocean may have more particles, such as algae or sediment, that scatter more of the longer wavelengths of light, making the water appear a different color, such as green or brown.
Overall, the scattering of light waves by particles in the atmosphere or in a medium is a common phenomenon that can cause objects or substances to appear different colors to an observer. The specific color that is observed depends on the properties of the light waves, the properties of the particles, and the angle and distance of the observer.
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. What voltage is required to move 2mA through 0.5kΩ?mm DS m. M m m. Feed
Answer: The voltage required to move a current of 2mA through a resistor with a resistance of 0.5 kΩ can be calculated using Ohm's law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by the resistance:V = I * RV = 2mA * 0.5 kΩV = 1VSo, the voltage required to move 2mA through 0.5 kΩ is 1 Volt.
a merry-go-round makes one complete revolution in 12.71 s. a 34.12 kg child sits on the horizontal floor of the merry-go-round 2.34 m from the center. what minimum coefficient of static friction is necessary to keep the child from slipping? the acceleration of gravity is 9.8 m/s 2 .
To prevent the kid from slipping, static friction needs to be at least 1 coefficient.
Examples of static friction are given below./A force called static friction prevents an object from moving along the path. This friction happens when two materials are slid over one another. Conflict is there all around us. For instance, when we walk, our feet are in contact with the ground.
Newton's second rule of motion can be used to calculate the amount of force needed to prevent the kid from slipping:
ΣF = ma
where ΣF is the sum of the forces acting on the child, m is the mass of the child, and a is the acceleration of the child. Since the child is not slipping, the force of static friction f must equal the force of gravity on the child Fg:
f = Fg
where Fg = mg, and g is the acceleration due to gravity.
The acceleration of the child can be expressed in terms of the angular acceleration of the merry-go-round, α, using the formula:
a = rα
where r is the distance of the child from the center of the merry-go-round.
The angular acceleration can be found from the time it takes for the merry-go-round to make one complete revolution, T, using the formula:
α = 2π / T
Substituting these values into the equations above, we get:
f = Fg
μs N = mg
μs mg = mg
μs = 1
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A 65kg bicyclist (including the bicycle), initially at rest, pedals to the right, generating 200N of force for 6s. During this time, they experience 40N drag. Neglect any
additional friction impeding their motion. Their net force on the bicycle is
A. 240 N
B. 160 N
C. 305 N
What is the name for the type of heat transfer that occurs when vibrating particles pass their energy on to neighbouring particles?
what is the frequency of electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye?
The frequency of electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye is 2.66 x 10^-19 Joules.
Wavelength of the electromagnetic radiation = 745 nm = 7.45 x 10^-7 m
1m = 1 x 10^-9 nm
Energy of the photon will be given by Plank's equation:
E = hc / λ
E = 6.626 x 10^-34J[tex]\pi[/tex] x 3 x 10^8 m/s / 7.45 x 10^-7m
E = 2.66 x 10^-19 Joules
Electromagnetic radiation is a form of energy that travels through space in the form of waves. This energy is generated by the movement of electric and magnetic fields, which oscillate at right angles to each other. These waves can vary in their frequency, wavelength, and energy, and are classified based on their position on the electromagnetic spectrum.
At one end of the spectrum, we have low-energy, long-wavelength waves, such as radio waves and microwaves, which are commonly used for communication and heating applications. In the middle of the spectrum, we find visible light, which is the only portion of the spectrum that our eyes can detect. At the other end of the spectrum, we have high-energy, short-wavelength waves, such as X-rays and gamma rays, which can be harmful to living organisms in high doses.
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Bone has a Young’s modulus of about
1.8 × 1010 Pa . Under compression, it can
withstand a stress of about 1.52 × 108 Pa before breaking.
Assume that a femur (thigh bone) is 0.55 m
long, and calculate the amount of compression
this bone can withstand before breaking.
Answer in units of mm.
Bone has a Young’s modulus of about 1.8 × 10¹⁰ Pa .Before breaking, the femur can withstand a compression of 5.5 mm.
How can the femur's compression be calculated?To determine how much compression the femur can withstand before breaking, we can use the stress formula.
The stress is the force exerted per unit area (1.52 10⁸ Pa); the applied force is the area, which represents the femur's cross-sectional area. Since we already know the stress and the area
The following formula can be used to determine the femur's cross-sectional area: Force = Stress * Area
A = π × r²
where:
A is the cross-sectional area
r is the radius of the femur
The radius of the femur can be calculated by dividing the diameter by 2:
r = d / 2
d is the diameter of the femur
We can find the force:
Force = 1.52 × 10⁸ Pa × π × (d / 2)²
Deformation = Stress × Length / Young's Modulus
Length is the length of the femur (0.55 m)
Young's Modulus is the modulus of elasticity of the material (1.8 × 1010 Pa)
Deformation = 1.52 × 10⁸ Pa × 0.55 m / (1.8 × 10¹⁰ Pa)
Deformation = 0.0055 m = 5.5 mm
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After which action would the concentration of a solution remain constant?(1 point)
removing solution from the container
adding water to the solution
evaporating water from the container
adding solute to the solution
Answer:
The action that would cause the concentration of a solution to remain constant is removing solution from the container.
What is concentration of a solution?
The concentration of a solution is the measure of the amount of solid particles (solute) that has been dissolved in the given amount of a solvent.
Adding water to a solution will dilute the solution, hence changes the concentration of the solution.
Also, adding solute will change the concentration of the solution.
Thus, the action that would cause the concentration of a solution to remain constant is removing solution from the container.
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suppose you charge a parallel plate capacitor with a dielectric between the plates using a battery and then remove the battery, isolating the capacitor and leaving it charged. you then remove the dielectric from between the plates. the potential difference between the plates will
If the dielectric is then removed, the capacitance of the capacitor decreases and the electric field between the plates increases.
When a parallel plate capacitor is charged with a dielectric between the plates using a battery, the charges on the plates are distributed in a way that results in a potential difference between the plates equal to the voltage of the battery. After the battery is removed and the capacitor is isolated, the charges on the plates remain fixed and the potential difference is maintained.
If the dielectric is then removed, there increase in electric field results in an increase in potential difference between the plates, and the amount of increase depends on the dielectric constant of the material used and the original capacitance of the capacitor.
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a cold beer initially at 35of warms up to 40of in 3 min while sitting in a room of temperature 70of. how warm will the beer be if left out for 20 min?
The temperature of the beer if left out for 20 mins would be 53.1°F.
Newton's law of coolingWe can use Newton's law of cooling to estimate how warm the beer will be after 20 minutes. Newton's law of cooling states that the rate of change of the temperature of an object is proportional to the difference between the object's temperature and the temperature of its surroundings. In this case, the rate of change of the beer's temperature is:
d(T)/dt = k(T - T_s)
where T is the temperature of the beer, T_s is the temperature of the surroundings, and k is a constant of proportionality.
From the problem, we know that the initial temperature of the beer is T(0) = 35°F and that it warms up to T(3) = 40°F in 3 minutes. Therefore, we can use this information to find the value of k:
k = [T(3) - T(0)] / [(T(3) - T_s) * t] = [40 - 35] / [(40 - 70) * 3] = 1/30
Now we can use this value of k to estimate the temperature of the beer after 20 minutes:
T(20) - T_s = [T(0) - T_s] * exp(-kt) = (35 - 70) * exp(-(1/30)*20) = -35 * exp(-2/3) ≈ -16.9°F
Therefore, the temperature of the beer after 20 minutes will be approximately 70°F - 16.9°F = 53.1°F.
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What is the scientific definition of energy that relates it to work?
the ability to use the change in direction of an object
the ability to use an applied force to make an object move
the ability to use the stored potential of an object
the ability to use the change in temperature of an object
The capacity to perform work, which entails applying force to move an object across a distance, is another definition of energy. Energy is moved from one item to another while work is done. Thus, option B is correct.
What type of energy that relates it to work?The definition of energy as the “power to accomplish work" refers to the capacity to apply a force that moves an object.
Any force that is exerted on an object, whether by a person or another object, is referred to as an applied force. An applied force is exerted on an object when someone pushes it across the room.
Energy is referred to by scientists as the capacity to work. Modern civilization is made possible by the discovery of how to change energy from one form to another and use it to complete activities.
Therefore, the ability to use an applied force to make an object move.
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Position (m)
12 10
2
0
Position vs Time
2
Time (s)
8
10 12
Using the graph, describe what is happening between
4 and 6 seconds.
The object is moving away from the origin at a
constant velocity.
The object is not moving.
The object is moving toward the origin at a constant
velocity.
The object is changing velocity.
The object is moving away from the origin at a constant velocity.
option A.
What is constant velocity?Constant velocity refers to a situation in which an object moves at a constant speed in a straight line. This means that the magnitude of the velocity (i.e. the speed) of the object remains the same over time, while its direction may or may not change.
For example, a car moving at a constant 60 km/h on a straight road has a constant velocity.
Uniform velocity on the other hand, refers to a situation in which an object moves with a constant speed, but also changes its direction. I
In the graph, between 4 and 6 seconds, the object is moving at a constant velocity.
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c. s. lewis correctly understood that there are at least three important ways in which science and magic are similar. which is not one of the key similarities developed in west’s text
C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world
What is science and magic?C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world. Science is concerned with understanding the natural world through observation and experimentation, while magic is a form of supernatural power that operates outside the laws of nature.
Lewis also believed that science and magic have different ethical implications. Science is morally neutral, while the use of magic often has negative consequences and can lead to a desire for power and control.
In his fiction, such as the Chronicles of Narnia series, Lewis often used the contrast between science and magic to explore larger philosophical and spiritual themes.
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If a box of 11.54 kg is sliding down the ramp at an angle of 31.04 at a constant velocity, what is the force of friction acting on the box?
The frictional force acting on the box is just opposite to the normal force acting on the box by its weight. Here, the frictional force is,
What is friction ?Friction is a kind force that opposes the normal force acting on an object. The frictional force, is a resistive force having a negative sign always. The frictional force increases as the roughness of the surface through which the object is moving.
Here, the mass of the box m = 11.54 kg
angle of sliding = 31.04 °
acceleration due to gravity of earth = 9.8 m/s²
The frictional force that opposes the motion of the box sliding down the surface is just opposite to the normal force on the box by its own weight.
F = - mg cosθ
= - 11.54 kg × 9.8 m/s² × 31.04°
= -105.9 N
Therefore, the frictional force acting on the box is -105.9 N.
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Which two statements are true about this chemical reaction that forms acid rain?
Statement that is true about chemical reaction that forms acid rain : b)The bonds that break are between N and O in HNO2and between O and H in HNO3.
What is acid rain?Acid rain is a acid deposition, which refers to the many ways in which acidity can move from atmosphere to Earth's surface. Acid deposition includes acidic rain as well as other forms of acidic wet deposition such as snow, sleet, hail, and fog.
HNO2 is less stable thus dissociates easily to HNO3 + NO + H2O and HNO3 is a strong acid. Therefore, when they react with H2O, they form acid rain.
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Note: The question given on the portal is incomplete. Here is the complete question.
Question: Which two statements are true about this chemical reaction that forms acid rain? 2NO2 + H2O--> HNO2 +HNO3
a) The bonds that form are between N and O in HNO2 between and between O and H in HNO3.
b)The bonds that break are between N and O in HNO2and between O and H in HNO3.
c)The bonds that break are between N and O in NO2 and between O and H in H2O.
d)The bonds that form are between N and O in NO2 and between O and H in H2O.
Answer: The correct two answers are :
1.) The BONDS that FORM are between N and O in HNO 2 and between O and H in HNO 3
2.) The BONDS that BREAK are between N and O in NO2 and between H and O in H2O
Explanation: I took the test.
two blocks are on a frictionless surface and have the same mass m. block 2 is initially at rest. block 1 moves to the left with speed 4v and collides elastically with block 2. what is the final speed of block 1?
The final speed of block 1 is 2.4 times its initial speed, or [tex]2.4v[/tex]. The collision between two objects is said to be elastic if both the total momentum and the total kinetic energy are conserved.
In an elastic collision between two objects, both the total momentum and the total kinetic energy are conserved.
Let's consider the collision between block 1 and block 2. The mass of both blocks is the same, so we can write the conservation of momentum equation as:
[tex]m(4v) = m(v1f) + m(v2f)[/tex]
where 4v is the initial velocity of block 1, v1f is the final velocity of block 1, and v2f is the final velocity of block 2. Since block 2 is initially at rest, its initial velocity is zero.
Since the collision is elastic, the total kinetic energy of the system is conserved, and we can write the conservation of kinetic energy equation as:
[tex](\frac{1}{2})m(4v)^2 = (\frac{1}{2})m(v1f)^2 + (\frac{1}{2})m(v2f)^2[/tex]
Simplifying these equations, we get:
[tex]4v = v1f + v2f[/tex] (conservation of momentum)
[tex](\frac{16}{2})v^2 = (\frac{1}{2})v1f^2 + (\frac{1}{2})v2f^2[/tex] (conservation of kinetic energy)
Solving for v1f, we can substitute[tex]v2f = (4v - v1f)[/tex] into the second equation:
[tex](\frac{16}{2})v^2 = (\frac{1}{2})v1f^2 + (\frac{1}{2}) (4v - v1f)^2[/tex]
Simplifying and solving for v1f, we get:
[tex]v1f = (\frac{3}{5})4v \\ = 2.4v[/tex]
Therefore, the final speed of block 1 is 2.4 times its initial speed, or [tex]2.4v[/tex]
The collision between two objects is said to be elastic if both the total momentum and the total kinetic energy are conserved. This means that the momentum of the system before the collision is equal to the momentum of the system after the collision, and the kinetic energy of the system before the collision is equal to the kinetic energy of the system after the collision.
The law of conservation of momentum states that the total momentum of a system of objects remains constant if no external forces act on the system. In an elastic collision, the momentum of each object is conserved separately, so we can write the equation:
[tex]m1v1i + m2v2i = m1v1f + m2v2f[/tex]
where m1 and m2 are the masses of the two objects, v1i and v2i are their initial velocities, and v1f and v2f are their final velocities.
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while a _______ is a group of closely related phenomena or observations, _______ is a logical idea that can be tested.
While a theory is a group of closely related phenomena or observations, hypothesis is a logical idea that can be tested.
How would you define hypothesis?
An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true. In the scientific process, the hypothesis is developed before any pertinent research—aside from a basic background review—has been conducted.
In addition to explaining existing facts, a theory also enables scientists to forecast what observations they should expect to see if the theory is correct. Scientific hypotheses can be tested. A theory should be consistent with new data.
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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears _________ star B. Choose one: A. 3 times brighter than B. 9 times brighter than C. one-third as bright as D. the same brightness as E. one-ninth as bright as\
Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.
What is luminosity?
Luminosity is a measure of the amount of energy that is emitted by a star or other celestial object, usually measured in terms of its brightness. It is related to the star's surface area and temperature, as well as its distance from the observer. Luminosity is an important factor in determining the evolution of a star and its eventual fate.
Therefore, Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.
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the amount of incoming solar radiation available at various places on the earth depends mainly on
This is based on a location's latitude. As latitude rises, the sun's rays' angle with the earth's surface decreases, resulting in slanted sunrays. Vertical rays always cover less area than rays that are angled.
What amount of incoming solar radiation on the earth?The amount of incoming solar energy that is accessible varies on the longitude, day of the year, time of day, and degree of cloud cover. The amount of solar energy received at a given latitude would not change throughout the year if the earth were not tilted from the vertical.
The solar radiation that reaches the surface of the earth is known as insolation. The quantity of solar energy absorbed per square centimeter every minute is used to calculate it.
Therefore, the amount of insolation (incoming solar energy) that is received each day mostly relies on. the Sun's angle above the horizon, also known as the solar incidence angle. the amount of time the surface is exposed to the Sun, as well as the atmosphere.
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The amount of energy required to remove an electron from an isolated atom or molecule is the ionisation potential. There is an ionization energy for each successive electron removed. true or false?
The following statement "The amount of energy required to remove an electron from an isolated atom or molecule is the Ionization potential. There is an ionization energy for each successive electron removed" is true.
A molecule is a collection of two or more atoms bound together by chemical bonds; depending on the context, the phrase may or may not include ions that meet this definition.
In quantum physics, organic chemistry, and biochemistry, the difference between ions and molecules is lost, and the term molecule is frequently used to refer to polyatomic ions. A molecule can be homonuclear, consisting of atoms of one chemical element, such as two atoms in the oxygen molecule (O2), or heteronuclear, consisting of more than one element.
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what must be the mass m2 of the hanging block if it is to descend 9.50 m in the first 3.00 s after the system is released from rest? express your answer with the appropriate units.
The mass [tex]m_{2}[/tex] of the hanging block is 20 kg.
A body of coherent matter, typically of undefined form and structure, or maybe even a grouping of incoherent components, components, or things viewed as comprising one body.
Suddenness of movements or operation; promptness; quickness as well as mechanical the measured or counted at which a body's position changes in a specific direction.
For this it is important to assume a tension value, otherwise, it is impossible to determine the value of mass m, in Newton's second law equation.
According to the question,
Initial velocity, [tex]$V_o=0 \mathrm{~m} / \mathrm{s}$[/tex]
Time, t = 3 sec
We know,
[tex]$\Rightarrow y=v_o \times t+0.5 \times a \times t^2$[/tex]
By substituting the values,
0.01 = [tex]0.5 \times a \times(3)^2 \\[/tex]
a = 0.0022 m / [tex]\mathrm{s}^2[/tex]
Hence, T- mg = ma
or,
[tex]$\Rightarrow m & =\frac{T}{g-a} \\[/tex]
[tex]$& =\frac{196}{9.81-0.00222} \\[/tex]
= 20 kg
Therefore the answer is 20 kg.
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a nasa orbiter recently captured craters and formations on mars that resembled the face of which animal?
Hundreds of millions of kilometres away, the Mars Reconnaissance Orbiter camera photographed a unique formation that, to the delight of scientists and space observers, appeared to be shaped like a bear's face.
On Mars, what face was discovered?The Viking 1 lander captured it on July 20, 1976, shortly after it landed on the planet. This new image from the Mars Reconnaissance Orbiter's HiRISE camera purports to show the face of a bear forming on the Martian surface.
What was discovered by the Mars Orbiter when it examined the Martian Face?The intriguing geological formation was photographed in December by the High Resolution Imaging Experiment (HiRISE) instrument on board the Mars Reconnaissance Orbiter.
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which of the following demonstrates the correct first step in bisecting an angle? a create a point on the outside of the angle's rays. b draw a line that intersects one of the angle's rays. c place the compass on the vertex of the angle. d swing an arc that intersects one of the angle's rays.
If the interior point of a triangle is equally spaced from its two sides, that point will be on the angle bisector of the angle created by the two line segments. Thus, option C is correct.
What is the bisecting an angle?In geometry, an angle bisector is a line that divides an angle into two equal angles. A "bisector" is a tool that splits an object or form into two equal halves. A ray known as an angle bisector separates an angle into two identical segments of the same length.
The opposite side of a triangle is divided into two pieces by the angle bisector in proportion to the other two sides. I
A line known as a bisector divides an angle or a line into two equally sized segments. A segment's midpoint is always contained in the segment's bisector.
To separate or cut into two equal, or nearly equal, portions. Geometry. To split or cut into two equal pieces. To cut an angle in half. The location where the train lines cross or intersect the road.
Therefore, place the compass on the vertex of the angle.
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Which energy associated with movement is energy while energy is stored energy? Kinetic Energy | Potential Energy | Mecanic Energy | Biodiesel Energy
The energy associated with movement is Kinetic Energy, while energy that is stored is Potential Energy.
What is Kinetic vs Potential energy?Two types of energy—kinetic energy and potential energy—describe the condition of a system. While potential energy is the energy stored in an object or system based on its location or configuration, kinetic energy is the energy of motion.
The energy that an object has as a result of motion is known as kinetic energy. The formula KE=1/2mv2 can be used to calculate an object's kinetic energy, which depends on its mass and speed. In this instance, m stands for the object's mass and v for its speed. An object has more kinetic energy the faster it moves. For instance, a moving vehicle has more kinetic energy than a vehicle that is stationary.
On the other hand, potential energy is the energy that an object has as a result of its position or configuration. It is frequently referred to as the energy that a thing possesses as a result of its capacity for labor. Gravitational potential energy, or the energy an item has as a result of its position with respect to a reference point like the ground, is the most typical illustration of potential energy. A lower-altitude item has less gravitational potential energy than a higher-altitude object. PE=mgh, where m is the object's mass, g is the acceleration brought on by gravity, and h is the object's height above the reference point, is the formula for gravitational potential energy.
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An apple pie is cut into six equal slices as shown below. If the diameter of the pie is , what is the approximate arc length of one slice of pie?
The approximate arc length of one slice of pie when a pie is cut into 6 pieces if the diameter of the pie is 10 inches is 5π/3in.
Given the diameter of apple pie (d) = 10 inches
Then, the radius of each piece (r) = 10/2 = 5 inches
The number of apple pieces = 6
Let the angle made by each apple piece = θ
Let the arc length = L
We know that the circumference of the circle is represented as:
C = 2πR = 2π*5 (in) = 10π (in)
When a pie is sliced into six equal pieces, the circumference is also divided into six equal arcs, which equals 10π/6 (in) = 5π/3 (in)
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complete question: A pie is cut into 6 pieces if the diameter of the pie is 10 inches. what is the approximate arc length of one slice of pie?
Pie = symbol
A- 10pie / 3
B- pie
C- 5pie / 6
D- 5pie / 3
ball a is projected vertically upward at 30 m/s from a point p. four seconds later, ball b is also launched vertically upwards from the same point p and also at 30 m/s. for how long has ball a been in motion when two balls collide? take the acceleration due to gravity to be g
Ball A has been in motion for 2.77 seconds when the two balls collide.
For ball A, use the second law of motion equation to find its displacement after 4 seconds,
[tex]y_A = (30)4 + \dfrac{1}{2}(-g)(4)^2[/tex]
yA = 41.6 m
Find the time it takes for ball B to reach the same height,
41.6 m = (30 m/s)t + (1/2)(-g)t^2
Solving this quadratic equation for t,
[tex]t = \dfrac{30 \pm \sqrt{(30)^2\times - 4\times (-4.9)(-41.6)}} {2(-4.9)}[/tex]
t ≈ 3.33 s or t ≈ 6.77 s
Therefore, the time elapsed for ball A when the two balls collide is,
tA = t - 4 s
tA = 3.33 s - 4 s
tA = -0.67 s (disregarded, since it is negative)
or
tA = 6.77 s - 4 s
tA = 2.77 s
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if a gymnast leaves the ground with a vertical velocity of 9.81 m/s when doing a back flip, where in her trajectory will her center of mass be 1.0 seconds later?
The correct option is B. Her trajectory will her center of mass be 1.0 seconds later at the apex.
[tex]V = V_0 - g*t[/tex]
where,
[tex]V_0 = initial velocity[/tex]
acceleration due to gravity = 9.8 m/s^2
t = 1.0 seconds
substituting the above values in the equation;
[tex]V_0 = 9.8 m/s + 9.8m/s^2*1.0 sec\\V_0 = 19.6 m/s[/tex]
**Hence after 1.0 sec the gymnast would almost reach 19.6 m as distance.
According to the trajectory of mass thrown uniformly,
[tex]H_(max)= v^2/ 2*g = 19.6^2/2*9.8 = 19.6 m[/tex] ----> indicates the mass reaches the peak after a time of 1.0 seconds
Speed is the directional velocity of an item in motion as an indication of its price of exchange in the role as located from a selected frame of reference and as measured through a specific widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.
Velocity is a physical vector amount; both value and route are had to outline it. The scalar absolute value (magnitude) of velocity is referred to as pace, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters according to 2nd (m/s or m⋅s−1). as an example, "five meters per 2d" is a scalar, while "five meters in keeping with 2d east" is a vector. If there may be a change in velocity, course, or both, then the object is said to be present process an acceleration.
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Complete Question:
If a gymnast leaves the ground with a vertical velocity of 9.81 m/s when doing a back flip, where in her trajectory will her center of mass be 1.0 sec later? Show the equation applied!
a) Approaching the apex
b) at the apex
c) descending from the apex
d) on the ground
e) not enough information
a system containing 1 atm of an ideal gas is doubled in temperature and halved in volume. what is the new pressure?
The amount of moles of gas n=RT PV using the Ideal gas equation
P ′ = 2P new pressure
T ′ = 2T new temperature
V ′ =V/2 new volume
Hence, the number of moles of gas n ′ = (2P)/(V/2) / R(2T) (2P)(V/2) = n/2
When all other variables are held constant, pressure is directly proportional to force (F) and inversely proportional to area (A). As a result, when Area A is doubled, the pressure is cut in half. Area A is cut in half. The pressure P has been doubled. At STP (standard temperature, 273.15 K and pressure, 1 atm), the volume of 1.00mol of any gas is measured to be 22.414L. 1 atm equals 760 mm Hg. The Pascal, on the other hand, is the standard international unit for pressure. 1 atm Equals 101325 Pa. The English physicist Robert Boyle conducted a series of pressure tests and arrived at a general law—that the volume of a gas varies inversely with pressure—in 1662. PV stands for constant.
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capacitors in combination: three capacitors of equal capacitance are arranged as shown in the figure, with a voltage source across the combination. if the voltage drop across c1 is 10.0 v, what is the voltage drop across c3?
The voltage drop across C1 is 10.0 V while C3 experiences a 3.33 V voltage drop in capacitors.
What is the capacitor combination formula?This is seen below. The total capacitance of a number of capacitors connected in this fashion can be calculated by adding the individual capacitances using the method described below: C1 + C2 + C3, etc. = CTotal. An illustration would be to calculate the total capacitance of these three parallel capacitors.
The voltage drop across each capacitor is 10.0 V / 3 = 3.33 V if the voltage drop across C1 is 10.0 V.
Given that C3 is one of the series-connected capacitors, the voltage drop across C3 would also be 3.33 V.
Consequently, if C1 experiences a 10.0 V voltage drop, the 3.33 V is the voltage drop across C3.
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