The direction of the net force on the charge at the top is downwards.
This is because the electric field created by the charge at the bottom exerts an electric force on the charge at the top, which is directed downwards. This electric force is greater than the force of gravity, which acts upwards, resulting in a net force directed downwards. This is a result of the inverse square law of electrostatics, which states that the force between two point charges is proportional to the inverse of their distance squared. Thus, the force between the charges is stronger when they are closer together, resulting in a net force directed downwards.
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vector = -1.00 -2.00 and vector = 3.00 4.00 . what are the magnitude and direction of vector = 3.00 2.00?
The magnitude of a vector is a scalar representation of the length of the vector. To find the magnitude of a 2-dimensional vector (x, y), you can use the Pythagorean theorem:
magnitude = [tex]√(x^2 + y^2)[/tex]
In this case, for the vector (3.00, 2.00), the magnitude is:
magnitude = [tex]√(3^2 + 2^2) = √(9 + 4) = √13 = 3.6[/tex]
The direction of a vector is a measure of the angle it makes with the positive x-axis. The direction is often expressed in radians, with zero radians being the positive x-axis, and positive angles rotating counter clock wise. To find the direction, you can use the arctangent function (atan2):
direction = atan2(y, x)
In this case, for the vector (3.00, 2.00), the direction is:
direction = atan2(2, 3) = 0.93 radians (or[tex]53.13°[/tex])
So, the magnitude of the vector (3.00, 2.00) is 3.6 and its direction is 0.93 radians (or[tex]53.13°[/tex]).
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The chemical equation shown above represents the hydrolysis of sucrose. Under certain conditions, the rate is directly proportional to the concentration of sucrose. Which statement supports how a change in conditions can increase the rate of this reaction?
Increasing the temperature of the reaction solution can increase the rate of hydrolysis of sucrose, as higher temperatures can increase the rate of molecular motion.
What is sucrose?Sucrose is a naturally occurring carbohydrate found in plants and fruits. It is also known as table sugar, or simply sugar. It is a disaccharide composed of glucose and fructose molecules joined together by a glycosidic bond. Sucrose is the most commonly used sweetener in food and beverage production and is found in many processed foods. It is used in baking, sweetening beverages, and as a preservative in some products. Sucrose is used as an energy source for the body. It is broken down by enzymes in the small intestine, releasing glucose and fructose which are then absorbed into the bloodstream and used for energy. Sucrose has a wide variety of uses in the food industry as a preservative, flavor enhancer, and sweetener.
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Ahmed is a heating consultant. One of his clients has a boiler that is 62% efficient and uses heating oil that releases 4. 15 x 107 J kg-1 of heat energy when it bums in air. What mass of heating oil does the boiler need to heat 245 kg of water from 12. 0 °C to 68. 0 °C?
Explanation:
To calculate the amount of heating oil needed, we need to first determine the amount of energy required to heat the water. We can use the formula for calculating the energy required to heat a substance:
Q = mcΔT
where
Q is the energy required,
m is the mass of the substance,
c is the specific heat capacity of the substance, and
ΔT is the change in temperature.
For water, the specific heat capacity is 4.18 J/g°C.
Plugging in the values:
Q = 245 kg * 4.18 J/g°C * (68.0°C - 12.0°C) = 45,082,000 J
Next, we need to consider the efficiency of the boiler. The boiler is only 62% efficient, which means that only 62% of the energy released from the heating oil will actually be used to heat the water.
So the actual amount of energy required from the heating oil would be:
Q / 0.62 = 45,082,000 J / 0.62 = 72,619,355 J
Finally, we can use the heat energy released by 1 kg of heating oil to calculate the mass of heating oil required:
72,619,355 J / (4.15 x 107 J/kg) = 17.5 kg
So the boiler would need approximately 17.5 kg of heating oil to heat 245 kg of water from 12.0°C to 68.0°C.
(1) (20 points) equivalent spring: (a) (5 points) how many degrees of freedom does this system have? (b) (5 points) draw the free body diagram for this system.
A function must have a derivative equal to 0 and a second derivative that is not equal to 0 for there to be a turning point in the function.
Up to five turning points are possible for degree 5 functions. These turning points are also referred to as extrema, stationary points, and inflection points. A polynomial of degree 5 is a function of degree 5. It is a function of type f(x) = ax5 + bx4 + cx3 + dx2 + ex + f, where a, b, c, d, e, and f are all constants. The maximum power of a variable in an equation determines the degree of a function. Because 5 is the largest power of x in this situation, the degree is 5. Up to five turning points are possible for degree 5 functions. These turning points are also referred to as extrema, stationary points, and inflection points. An inflection point is a point, and a stationary point is a point on the function graph where the slope of the graph is either 0 or undefined.
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in a purely capacitive circuit, current is said to ___ the applied source voltage.
in a purely capacitive circuit, current is said to lead the applied source voltage.
If a circuit only contains a pure capacitor in it, it said to be a purely capacitive circuit.
In such circuit, when we apply a potential difference or apply a voltage, the current in the said is said to be leading the applied voltage by an angle of 90 degrees.
Now, this 90 degrees angle difference means that when we will make the phasor diagram for the purely capacitive circuit, and plot the pattern of the current and the applied voltage, we will observe that the current is making an angle of 90 degrees with the voltage and it is also ahead of the applied voltage.
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a wire made of unknown material is 1.0 meter long and has a diameter of 2.0 mm. when connected to a potential difference of 2.0 v, 4.0 a flows in the wire. what is the resistivity of the material in the wire?
1.57 *10^-3Ω−m is the resistivity of the material in the wire
What is resistivity?
Electrical resistivity is a measurement of a material's degree of resistance to current flow. The SI unit for electrical resistivity is the ohm meter (m). It is frequently represented by the Greek letter rho. Materials that easily transmit current and have a low resistance are called conductors.
The resistance serves as a gauge for how challenging it is to transfer current through a component or wire. Resistivity affects resistance.
V = IR
R = V/I
V = 2V
I = 4A
R = 2/4 = 0.5
ρ= R A/L
R= Resistance
L= Length of wire
A= Cross sectional area of wire
Cross sectional area of cylinder (A)=Πr^2
⇒A=π×(1) ^2
A = 3.14mm^2
L is 1.0m
ρ= 0.5*3.14 *10^-3/1.0
ρ= 1.57 *10^-3Ω−m
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How does maxwell model represent
Maxwell's model is a mechanical representation of the behavior of an ideal gas. It was conceived in the nineteenth century by James Clerk Maxwell. An ideal gas.
according to Maxwell's concept, is made up of a huge number of particles that are in continual random motion and collide with each other and the container's walls. These particles are classified as point masses, which means they have no volume or structure. The model assumes that collisions are fully elastic, which means that no energy is wasted and the particle speed remains constant. Maxwell's model may be used to predict the behavior of an ideal gas in a variety of thermodynamic states, including pressure, temperature, and volume. It also enables us
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what is the magnetic flux through the loop when it is tilted at a 60 ∘∘ angle?
The magnetic flux going through the loop is influenced by the tilt angle and magnetic field strength.
Magnetic flux is a unit used to quantify the number of magnetic field lines that pass through a given surface. In this case, the surface is a loop and the magnetic field is tilted at an angle of 60 degrees with respect to the plane of the loop.
To calculate the magnetic flux, the tilt angle and magnetic field strength must be known. With this information, the magnetic field line density on the loop, which is inversely proportional to the magnetic flux, can be calculated.
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a player hit a serve in a racket sport that was clocked at 61 mph. how much work did have to do on the -oz ball to get it to that speed?
The work we have to do on the -oz ball to get it to that speed is 62.20 ft.lb.
1 ounce = 0.0625 pound
1 mile per hour is = 1.46667 [tex]\frac{ft}{sec}[/tex]
Now, the speed of ball is =89.46687 [tex]\frac{ft}{sec}[/tex]
Now, to find the weight of the ball=0.0625 ×8
weight of ball=0.5lb
The energy an object has as a result of motion is known as kinetic energy.
A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed. Kinetic energy is the type of energy that is transferred and is dependent on the mass and speed attained.
Kinetic Energy=[tex]\frac{1}{2} mv^{2}[/tex]
Kinetic Energy=[tex]\frac{1}{2}\times0.5\times89.46687^{2}[/tex]
Kinetic Energy=2001.082 [tex]\frac{ft^{2} }{sec^{2} }\times lb[/tex]
Now, 1lbf =32.174049[tex]\frac{ft}{sec^{2} }\times lb[/tex]
Now, kinetic energy=[tex]\frac{2001.082}{32.174049}[/tex]
kinetic energy=62.20 ft.lb
Now, kinetic energy will always be equal to work done.
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true or false: the parallelogram law for the addition of forces states that two forces acting on a particle are replaced by a single force, called their resultant, obtained by drawing the diagonal of the parallelogram with sides greater than the given forces.
It is True that, the parallelogram law for the addition of forces states that two forces acting on a particle are replaced by a single force, called their resultant, obtained by drawing the diagonal of the parallelogram with sides greater than the given forces.
What is Particle?
Particle is a branch of physics that studies the properties and interactions of particles, which are the fundamental constituents of matter and radiation. Particles are studied in the context of quantum field theory, which is a theoretical framework describing the fundamental forces of nature.
Therefore, It is True that, the parallelogram law for the addition of forces states that two forces acting on a particle are replaced by a single force, called their resultant, obtained by drawing the diagonal of the parallelogram with sides greater than the given forces.
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knowing that one day is 24 hours, how many days is 63.6 hours?
The required number of days when the hours are given and they are to be converted into days is 2.65 days.
Days and hours are the measure of time. They can be interconverted from one form to another. In this problem, we are asked to convert hours to days.
The number of hours in a day is known to be = 24 hours
So, 1 day = 24 hours
Number of days in 63.6 hours = ?
Let us convert hours to days.
The required number of days = 63.6 hours/24 hours = 2.65 days
Therefore, the required number of days when the hours are given and they are to be converted into days is 2.65 days.
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What do solved examples involving velocity vs. time graphs look like?
Acceleration is the result of the graph .
What is acceleration ?
Acceleration is a measure of how quickly an object changes its velocity, or speed and direction. It is a vector quantity and is expressed in units such as meters per second squared (m/s^2), feet per second squared (ft/s^2), or g (where g = 9.8 m/s^2 is the acceleration due to gravity at the surface of the Earth). Acceleration is a result of a force acting on an object and can be calculated using Newton's second law of motion as follows: acceleration = force / mass. Positive acceleration means that the object is speeding up, while negative acceleration means that the object is slowing down. Acceleration is an important physical quantity that is used to describe the motion of objects and to calculate the velocity and position of an object over time. It plays a crucial role in many areas of science and engineering, including mechanics, rocket science, and vehicle design.
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at which point is the electric field stronger
The electric field is strongest at the point of closest proximity between two opposite charges. The electric field will decrease in strength with increasing distance from the point of closest proximity.
Where the lines are spaced apart the most, the field is strongest. Charge 1 is negative and charge 2 is positive because the electric field lines converge towards charge 1 and away from charge 2, respectively. The density of electric field lines directly relates to the strength of an electric field. The strength of the electric field depends on how closely the field lines are spaced from one another; the weakest electric field results from field lines that are far apart.
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How far is 12 inches in feet?
12 inches, when converted to a foot, is equal to 1 foot.
What is unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Unit conversion is the process of changing a quantity's measurement between different units, usually using multiplicative conversion factors.
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assuming that there are no charges in the four regions shown in the figure, which of the patterns could represent an electric field? only 1 all none only 2 only 4
The pattern that could represent an electric field is pattern B.
The complete question is in the attachment. The electric field is the electric force that exists around electric charges. The electric field can be described by electric field lines. Rule of electric field lines
The direction of the electric field is always towards positive charges and away from negative charges.Electric field lines use arrowheads pointing in the appropriate direction.If at a point the electric field lines are getting denser, it means that the electric field is stronger at that point.The electric field is always directed perpendicular to the surface of an object.The electric field lines must not intersect and be unbroken.Electric field lines always come from a source of charge.Look at the picture
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How to convert 220 celsius to fahrenheit?
220 times 9 equals 1,980. 5 times 1,980 yields 396. 396 degrees plus 32 is 428 degrees Fahrenheit.
How rapidly is the conversion from Celsius to Fahrenheit?Here is a short tip you can use if you need to rapidly convert from Celsius to Fahrenheit: The (calculated) temperature to degrees Fahrenheit is obtained by multiplying the thermometer in degrees C by 2, then by 30.
Can people survive in temperatures of 100 °C?The greatest temperature about which people can survive is generally accepted to be 108.14 degrees Fahrenheit, or 42.3 degrees Celsius. Higher temperatures have the potential to denature proteins and harm the brain permanently. Simply said, the human body has the potential to become scrambled.
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An environmental study reporting on the way temperature, water quality, and minerals affect the animals in a salt marsh would be considering which level of organization?.
It will be the organizational level of the ecosystem. Here you can see the interaction of inanimate objects and living organisms.
An ecosystem is a geographical area where plants, animals, other living things, weather and landscape work together to form a bubble of life. An ecosystem contains living or living parts and abiotic factors or non-living parts. Ecosystems are organized to better understand the framework of reference in which they are studied. They are organized from smallest to largest. Organisms, populations, communities, ecosystems. In ecology, the organizational level refers to:
Biosphere - The place where all life on Earth lives. Biome - A large community of plants and animals occupying a large habitat. Ecosystem - A biological community of interacting organisms and their physical environment.
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if a car is travelling east, and we define east as the positive direction, in which situation will the acceleration be negative?
If a car is travelling east and we define east as the positive direction, the acceleration will be negative when the car is travelling west.
Acceleration is defined in physics as the change in velocity over elapsed time (a = Δv/t). Velocity is equal to displacement x over time t (v = x/t). Acceleration, velocity and displacement are all vector quantities because they have both magnitudes and directions.
We can use positive and negative signs to indicate direction. They are opposite to one another. So if an object (like a car) is travelling east and it is the positive direction, then the negative direction is the west.
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whatoccurs on earth as a result of the gravitational attraction between the moon,sun, and earth?
Tides occurs on earth as a result of the gravitational attraction between the moon, sun, and earth.
The force that changes the levels of the oceans is known as a tidal force, which is technically the difference in the strength of gravity between two points on a body. The deformations of a body stemming from tidal forces are called tides.Gravity is a mutual force. Earth attracts the moon, and the moon will attract the Earth. However, because the oceans are so much larger than your body, they are definitely affected by the moon. There's so much more to be affected to begin with compared to tiny little you. Anyways, here's how these oceans are affected by the moon's gravitational pull in more detail.Since the relative pull of the land is less in comparison to that of water, the effect of gravitation on the water bodies is more. It should be noted that the magnitude of ant tide is determined by the relative position of the Moon, the Sun, and the Earth.To know more about tides visit:
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mercury-centric models?
Mercury-centric models refer to models or theories that center around the planet Mercury, specifically in the context of astronomy and celestial mechanics.
These models may describe the dynamics, orbit, or other physical properties of Mercury or its interactions with other celestial bodies such as the Sun or other planets. For example, a Mercury-centric model might describe the planet's orbit and how it evolves over time due to the gravitational influence of other bodies in the Solar System. These models play a critical role in our understanding of the Solar System and its evolution over time.
Mercury-centric models are important because they help us understand the origin and evolution of the planet and its place in the Solar System. These models take into account various physical properties of Mercury such as its size, mass, and orbit, as well as the gravitational influence of other bodies in the Solar System, such as the Sun and the other planets.
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a variable that is thought to cause a change in another variable is called the:
a. Independent variable
b. Intervening variable
c. Moderating variable
d. Dependent variable
An independent variable, often known as a predictor variable, is one that is postulated to be the cause of an effect therefore, option a is the right choice.
In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables.
Dependent variables get their name because, during an experiment, their values are examined under the assumption or requirement that they are dependent on the values of other variables due to some law or rule (for example, a mathematical function). In the context of the experiment in question, independent variables are those that are not perceived as dependent on any other factors.
Time, space, density, mass, fluid flow rate, and prior values of some observed value of interest (such as the size of the human population) are examples of typical independent variables that can be used to forecast future values (the dependent variable).
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suppose that the cost of electrical energy is $0.12 per kilowatt hour and that your electrical bill for 30 days is $60. assume that the power delivered is constant over the entire 30 days. what is the power in watts? if this power is supplied by a voltage of 120 v, what current flows? part of your electrical load is a 60 w light that is on continuously. by what percentage can your energy consumption be reduced by turning this light off?
The power is 694W
What is the most basic meaning of power?
Power can be defined as the amount of work completed in a given amount of time.
The total amount of energy used throughout the course of the 30 days must first be determined.
30 days in a month equal 720 hours.
When the cost per kwh is 0.12 and the total cost is $60 (for 720 hours), we have:
60$/month = 0.12$/Kwh*xKwh/month
Calculating the total energy used during the month
i.e. 60/0.12 will be 500Kwh
Given that power is the rate of change of energy and that the power given is constant throughout the course of 30 days, we may determine the power as follows.
P = E/t
P = 500/720 = 0.694kW = 694W
If the power is supplied by a voltage of 120 V,
I is P/V i.e. 694/120
I = 5.78A
We can deduct the power of a 60-W lamp from the power we just discovered if it makes up a portion of the electrical load.
P = 694 W - 60 W = 634 W
The new value of the energy spent during the entire month will be :
E = 0.634 kW*24(hr/day)*30(days/mo)
E = 456 kWh/mo
The percentage decrease in total energy used can be computed as follows:
ΔE =500-456/500
ΔE = 0.088 *100
ΔE = 8.8%
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why it is important that a gap be left between the crucible and its lid when heating the sample
In a laboratory setting, it is important to leave a gap between the crucible and its lid when heating the sample for several reasons. Firstly, the gap allows for proper ventilation, which prevents the buildup of pressure inside the crucible.
This is important because if the pressure inside the crucible becomes too high, it can cause the lid to pop off or even explode, potentially causing harm to the experimenter and damaging equipment.
Secondly, the gap allows for proper observation of the sample. If the lid is placed directly on top of the crucible, it can be difficult to observe any changes in the sample as it is being heated. The gap provides a space for the experimenter to observe the sample and monitor any changes that may occur.
Finally, the gap allows for proper temperature control. If the lid is placed directly on top of the crucible, it can trap heat inside the crucible and cause the temperature to become too high, potentially altering the results of the experiment.
The gap allows for the release of excess heat, helping to maintain a stable and controlled temperature inside the crucible.
In conclusion, the gap between the crucible and its lid is an important aspect of heating a sample in the laboratory. It helps to ensure the safety of the experimenter, allows for proper observation of the sample, and helps to maintain proper temperature control.
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a plane is flying due west at 275 km/h and encounters a wind from the west at 80 km>h. what is the plane’s new velocity with respect to the ground in standard position?
The plane's new velocity with respect to the ground is 195 km/h, westward.
When a plane is flying in the presence of wind, its velocity with respect to the ground is the vector sum of its velocity relative to the air and the velocity of the wind. In this case, the plane is flying due west at 275 km/h and encountering a wind from the west at 80 km/h.
To find the plane's new velocity with respect to the ground, we need to add the velocity of the plane relative to the air and the velocity of the wind. The velocity of the plane relative to the air is given as 275 km/h due west, and the velocity of the wind is given as 80 km/h from the west.
Adding these two velocities gives us the plane's new velocity with respect to the ground:
Velocity with respect to ground = 275 km/h + 80 km/h = 355 km/h due west.
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A ship sets sail from Rotterdam, The Netherlands, intending to head due north at 5. 5 m/s relative to the water. However, the local ocean current is 1. 50 m/s in a direction 40. 0º north of east and changes the ship's intended motion. Show answer Incorrect Answer 50% Part (a) In what direction would the ship have to travel in order to have a resultant velocity straight north relative to the earth, assuming the speed relative to the water remains 5. 5 m/s? Specify the angle west of north, relative to the earth (i. E. A stationary observer on the shore)
The angle that the vector sum makes with north. The direction the ship must travel is this angle, measured west of north.
We need to determine the angle that the vector sum of the ship's velocity relative to the sea and the ocean current creates with north in order to determine the direction the ship must go in order to have a velocity that is directly north relative to the earth.
Call the angle between the north and the ocean current. The east-west and north-south components of the ship's velocity in relation to the sea may be separated out.
The component along the east-west direction is 5.5 * cos(θ),
and the component along the north-south direction is 5.5 * sin(θ).
Adding the ocean current,
Which has a magnitude of 1.5 and direction 40º north of east, we get:
East component = 5.5 * cos(θ) + 1.5 * cos(40º)
North component = 5.5 * sin(θ) + 1.5 * sin(40º)
Dividing the North component by the magnitude of the vector sum and taking the inverse tangent.
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A light ray propagating in vacuum contains both 600nm light and 400 nm light and is incident on top of a glass cube.Compare how the two types of light travel through the block.The 600nm light travels faster than the 400nm light. The 400nm light travels faster than the 600nm light.Cannot be determined.They both travel at the same velocity,.They both travel at the same velocity, but slower than c
When a light ray propagating in vacuum contains both 600nm light and 400 nm light and is incident on top of a glass cube then 400nm light travels faster than the 600nm light so the answer is (b).
The speed of light in a medium is dependent on the refractive index of the medium, which is a function of the wavelength of the light and the properties of the medium. In general, light with a longer wavelength will travel slower in a medium than light with a shorter wavelength. This is because the longer wavelength light experiences more refraction, or bending, in the medium.
In the case of a glass cube, both the 400 nm and 600 nm light will slow down as they travel through the glass. The 400 nm light will slow down more than the 600 nm light, meaning it will experience more refraction and bend more than the 600 nm light. Therefore, the answer is (b) the 400nm light travels faster than the 600nm light.
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underwhat conditions would mineral crystals grow the largest?
If the magma cools slowly, then the crystals have enough time to grow and become large.
ABOUT MINERAL CRYSTALIf the growth does not experience any disturbance, then the mineral will have a perfect crystal form. But this perfect form is rarely found because in nature these disturbances are always there. Minerals that are found in nature often do not develop properly, making it difficult to classify minerals into crystallographic systems.
Instead the term crystal habit is used, the typical shape of a mineral is determined by the parts that form it, including the relative shape and size of these patches. We need to know some of the crystal stature found in certain types of minerals, so that the crystal stature can be used to determine the type of mineral, even though crystal stature is not a permanent characteristic of minerals.
Richard M Pearl (1975) divides crystal stature into 3 (three) groups, namely:
A. Elongated habits (long/streaky)
B. Flattened habits
C. Rounded habits (grain).
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Determine the magnitude of the electrical force exerted on the object at the top corner due to the two objects at the base of the triangle.
The magnitude of the electrical force exerted on the object at the top corner due to the two objects at the base of the triangle can be calculated using Coulomb's law.
The equation for Coulomb's law is F = k * q1 * q2 / r^2, where F is the force, k is the Coulomb's constant (8.99 * 10^9 Nm^2/C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.
To calculate the force, you must first determine the charges of the two objects and the distance between them. Once these values are known, you can plug them into the equation and calculate the magnitude of the force.
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Which of these objects converts light to chemical energy?
answer choices
A. ethanol plant
B. light bulb
C. corn
D. solar cell
C. Corn converts light to chemical energy in a photosynthesis.
The process by which light energy is transformed into chemical energy in the form of sugars is known as photosynthesis. Using light energy, glucose (or other sugars) are created from carbon dioxide and water, with oxygen being released as a byproduct. Organic molecules, most especially carbohydrates, hold the freshly created chemical energy (mostly glucose).
Because corn is a plant and contains chlorophyll in its structures, corn can absorb sunlight and use photosynthesis to transform it into chemical energy. Plants use the process of photosynthesis to create their own sustenance. The plant uses energy from the sun and carbon dioxide from the atmosphere.
Water and carbon dioxide combine in a chemical process during photosynthesis to produce glucose and oxygen. It is obvious that photosynthesis involves a chemical reaction since new chemical species are created.
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The position of an object as a function of time is given by x=2t^3+(4-5t^2)m. At time t=3s. what will be the object's (a) position (b) velocity (c) acceleration
If the position of an object as a function of time is given by x=2t^3+(4-5t^2)m.
a. The position of the object at t=3s is 9m.
b. The velocity of the object at t=3s is 24 m/s.
c. The acceleration of the object at t=3s is 26 m/s^2.
How to find the velocity?a) Position:
At t=3s
the equation x=2t^3+(4-5t^2)m:
x = 2(3)^3 + (4 - 5(3)^2)m
x= 54 + (4 - 45)m
x= 9m
b) Velocity:
v = dx/dt = 6t^2 - 10t m/s
At t=3s
v = 6(3)^2 - 10(3) m/s
v= 54 - 30 m/s
v= 24 m/s
c) Acceleration:
a = dv/dt = 12t - 10 m/s^2
At t=3s
a = 12(3) - 10 m/s^2 = 36 - 10 m/s^2
a = 26 m/s^2
Therefore the position of the object at t=3s is 9m.
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