5.74 degrees is the angle, in degrees, of the slope of a hill that a 65 kg skier could coast down at a constant speed.
To determine the angle of the slope of the hill, we need to use the following equation:
sin(Ф) = mu, where theta is the angle of the slope and mu is the coefficient of friction.
For the skier to coast down at a constant speed, the force of gravity pulling the skier downhill must be balanced by the force of friction between the skis and the snow. This means that the force of friction is equal to the component of the gravitational force parallel to the slope:
f_friction = f_gravity_parallel
mu_k x m x g = sin(Ф) x m x g
mu_k = sin(theta)
where m is the mass of the skier, g is the acceleration due to gravity, and mu_k is the coefficient of kinetic friction.
Substituting the given values, we have:
0.10 = sin(Ф)
Taking the inverse sine of both sides, we find:
theta = sin⁻¹(0.10) = 5.74 degrees
the angle of the slope of the hill is approximately 5.74 degrees.
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A 2450 kg stunt airplane accelerates from 120 m/s to 162 m/s in 2.10s. If the airplane is putting out an average force of 5.8810x10^4 N during this time, what is the average friction force exerted on the airplane by the air?
Given :
A 2450 kg stunt airplane accelerates from 120 m/s to 162 m/s in 2.10 s.
If the airplane is putting out an average force of \(5.8810\times 10^4 \ N\).
To Find :
The average friction force exerted on the airplane by the air.
Solution :
Acceleration is given by :
\(a = \dfrac{162-120}{2.10}\ m/s^2\\\\a = 20 \ m/s^2\)
Now, force equation is given by :
\(F - F_{friction} = ma\\\\F_{friction} = F-ma\\\\F_{friction} = 58810 - (2450\times 20 )\\\\F_{friction} = 9810\ N\)
Therefore, frictional force exerted in the airplane by the air is 9810 N.
on a highway without median dividers, you must stop at least 10 feet away from a stopped school bus, even if the bus is going in the opposite direction.
In most US states, drivers are required to stop when a school bus stops, except if it has a median divider, to allow children to cross the road safely.
These laws were established to minimize the likelihood of a child being struck by a motor vehicle while entering or exiting a school bus on a busy road. The majority of school buses are equipped with stop signals and flashing lights to inform drivers when to stop and when it is safe to proceed.
The law, however, varies by state. In some states, drivers must stop both ways, regardless of whether the bus is on the other side of the street or not. In most states, including Georgia, you must stop if you are behind the bus or on the same side of the street.
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Mass of solid sphere of gold 273.13kg. if density of gold is 19.32 g/cm3, find the diameter of the sphere.
Using solid sphere density, the diameter of the sphere is 29.98 cm.
We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as
ρ = m / V
where ρ is density, m is mass and V is volume
From the question above, we know that
ρ = 19.32 g/cm³
m = 273.13 kg = 273130 g
Find the volume of sphere
ρ = m / V
19.32 = 273130 / V
V = 273130 / 19.32
V = 14137.16 cm³
Find the diameter of sphere
V = 4/3 . π . r³
14137.16 = 4/3 . π . r³
r³ = 3373.64
r = 14.99 cm
d = 1/2 r
d = 2 . 14.99
d = 29.98 cm
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Every Saros cycle (19 eclipse years): A. All total solar eclipses occur as total solar eclipses. B. All annular solar eclipses occur as annular solar eclipses. C. All solar eclipses reoccur at the same longitudes and latitudes. D. All lunar eclipses reoccur.
Answer:
D. All lunar eclipses reoccur.
Explanation:
Every Saros cycle (19 eclipse years)
Saro was described by Edmond Halley arround the year 1691, which is a period of 223 synodic which can be interepreted as "repitition" it is used by the scientist for eclipse prediction either for the sun or moon eclipse. It is 18years and 11days and some hours.
It should be noted that with this All lunar eclipses reoccur.
the speed of the boat is v = 3.50 m/s in still water. the river flows with a speed of w = 1.90 m/s. at which angle θ should you aim your boat to go from a to b?
To go from point A to point B, you should aim your boat at an angle of approximately 24.42 degrees upstream.
When a boat is moving in a river, the combined effect of the boat's speed in still water and the river's flow affects its trajectory. To determine the angle at which the boat should be aimed, we can use the concept of vector addition.
Let's consider the velocity of the boat in still water as v = 3.50 m/s and the velocity of the river's flow as w = 1.90 m/s. Since the river flows in a certain direction, we can represent its velocity as a vector, pointing downstream. In this case, the boat's velocity vector would be the resultant of its velocity in still water and the river's velocity.
To find the angle at which the boat should be aimed, we need to calculate the angle between the resultant vector (velocity of the boat) and the direction of point B from point A. This angle can be found using trigonometry.
By applying vector addition, we can determine the resultant velocity vector as v + w. The magnitude of this resultant velocity can be found using the Pythagorean theorem:
resultant speed = \(\sqrt(v^2 + w^2)\)
= \(\sqrt((3.50 m/s)^2 + (1.90 m/s)^2)\)
≈ 3.96 m/s
Now, let's calculate the angle using the inverse tangent function:
θ = arctan(w / v)
= arctan(1.90 m/s / 3.50 m/s)
≈ 24.42 degrees
Therefore, to go from point A to point B, you should aim your boat at an angle of approximately 24.42 degrees upstream.
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Tyrell is holding a cup of hot cholate in his hands which cause his hand to feel
warmer. What is happening to the particles in his hands?
Answer:
When Tyrell's hands get warm the particles in his hands are moving faster or more rapidly.
Explanation:
The detergent solution the dishes are washed in must be at least____ ° F. a) 125. b) 118. c) 110. d) 100.
The detergent solution used for washing dishes must be at least 110°F (option c) to effectively remove grease and bacteria.
To properly clean dishes, it is important to use a detergent solution at a certain temperature. The minimum temperature requirement ensures that the detergent is effective in breaking down grease and removing bacteria from the dishes.
The temperature of 110°F is often recommended as it provides the ideal balance between effectiveness and safety. At this temperature, the detergent can effectively dissolve and remove oily residues, food particles, and germs from the dishes. It helps to break down and emulsify fats and oils, facilitating their removal during the washing process.
Using hotter water can enhance the cleaning process by improving the detergent's ability to dissolve and remove contaminants. However, it is essential to strike a balance to prevent potential risks such as scalding or damage to delicate items. Therefore, maintaining a minimum temperature of 110°F ensures efficient cleaning while minimizing safety concerns.
It's worth noting that specific dishwasher models or dishwashing guidelines may recommend slightly different temperature ranges. It is advisable to follow the manufacturer's instructions or consult the dishwasher manual for the most suitable temperature settings for optimal dishwashing results.
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Ella had a beaker of warm water Its temperature was 70 degrees celsius She poured in some water and stirred the mixture. When she measured the temperature of the water, it had fallen to 40 degree celsius
Explain why the temperature of the water decreased when the cold water was added to it
\( \mathfrak{\huge{ \mathfrak{ \underline{ Answer }}}\: ✓ }\)
We know, hot water has more energy than the cold water , so when cold water is added in the beaker then heat transfer occurs from hot water to cold water to balance the Energy, causing the drop of temperature from 70° C to 40° C.
Note : Heat transfers occurs from hotter object to cooler one.
_____________________________
\( \mathrm{ \#TeeNForeveR}\)
what is regular body in physics
Answer:
The definition of a regular shape is that all the sides are equal and all the inside angles are equal. An irregular shape doesn't have equal sides or equal angles.
Explanation:
Hope this helps you
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A hydraulic lift has pistons with diameter 28cm and 70cm, respectively. If a force of 500 N is exerted at the input piston. What is the maximum load that can be lifted the output piston?
Answer:
3125 N
Explanation:
diameter /2 =radius
so r1 =14cm , r2 =35cm
f1/A1 =f2/A2.
f2 = f1 × A2 / A1
=500×1225 pi cm² / 96 pi cm²
f2 =3125N
How does a balanced Chemical Equation Satisfy the Law of Conservation of Mass?
A. During a chemical reaction, the total amount of matter stays the same.
b. During a chemical reaction, matter is destroyed.
c. During a Chemical reaction, one ore more new substances formed.
d. During a chemical reaction, the total number of atoms increases.
If the force of gravity increases which measurement will change and how? 1. Weight increases 2. Weight decreases 3. Mass decreases 4. Mass increases
The answer is weight increases
Answer:
Weight increases
Explanation:
The gravitational force increases as the size of an object increases. On the other hand, the strength of gravity is inversely related to the square of the distance between two objects
which of the following spectroscopy methods does not involve the interaction of organic molecules with electromagnetic radiation?
The following spectroscopy method does not involve the interaction of organic molecules with electromagnetic radiation:
Mass Spectrometry (MS): Mass spectrometry is a technique that analyzes the mass-to-charge ratio of ions. It does not directly involve the interaction of organic molecules with electromagnetic radiation. Instead, it involves the ionization of molecules and the measurement of their mass-to-charge ratios using magnetic and electric fields.
On the other hand, the following spectroscopy methods do involve the interaction of organic molecules with electromagnetic radiation: Ultraviolet-Visible Spectroscopy (UV-Vis): UV-Vis spectroscopy measures the absorption or transmission of ultraviolet and visible light by organic molecules.
Infrared Spectroscopy (IR): IR spectroscopy measures the absorption or emission of infrared light by organic molecules. It provides information about the molecular vibrations and functional groups present in the molecules.
Nuclear Magnetic Resonance Spectroscopy (NMR): NMR spectroscopy measures the absorption of radiofrequency radiation by atomic nuclei in organic molecules. It provides information about the molecular structure, connectivity, and environment of the nuclei.
It's important to note that different spectroscopy methods have their own applications and provide complementary information about organic molecules.
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Three materials, put them in order of what
light does when it hits them.
clay, shiny dimes, eyeglasses
Answer:
it's a
Explanation:
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A sound wave has a speed of 339 m/s and frequency of 640 hz. What is the wavelength of this wave?
A. 0.5 meters
B. 0.42 meters
C. 0.79 meters
D. 1.22 meters
Answer:
Given,
speed(v)= 339m/s
frequency(f)=640Hz
Now,
we know,
speed(v)= frequency × wavelength
or, 339=640 ×wavelength
or, wavelength= 339/640
or, wavelength =0.5m.
Therefore, option (A ) is correct...
Which property of a transverse wave stays the same even as the wave's
energy and other properties change?
Wavelength
Frequency
Rest position
Amplitude
ent
1 of 8 QUESTIONS
SUBMIT
The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.
The correct option to the given question is option a.
The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.
This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.
If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.
Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.
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What will happen to this current if a magnet is brought near the cord? A. It will exert a force on the voltage. B. The electric current will stop flowing. C. The resistance of the wire will decrease. D. It will exert a force on the electric current.
Answer:
The correct answer is D)
Explanation:
When an electric magnet is brought near a cord with an electric current, the cord will most likely deflect away from the magnet because electric fields flowing through a wire generates its own magnetic field.
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Short Answer
1. You have a glass of water at 55 degrees celsius. You add it to a full bathtub of water at 15 degrees celsius.
What would you predict the final temperature to be?
15 degrees because a glass of water won't do anything to a bath tub of 15 degree water
How Could The movements of objects across the sky have led people to the conclusion that earth is the center of the universe
Answer:
What we see in the sky
Where are they in the general context of the overview of the Universe?
With the naked eye, the main astronomical objects we can see are the Sun, the Moon, the stars, and some of the planets
All of the stars we see are in the Milky Way galaxy, most of them relatively close to the Sun.
The stars we see in the sky come in a range of brightnesses, partly because stars come in different intrinsic brightnesses, and partly because some are closer than others.
When we look at an astronomical object ``by eye'', we can't tell just by looking how far away it is (because not all objects have the same intrinsic brightness). All we can see is what direction it is in.
As a result, when looking ``by eye'', the positions of stars on the sky are described by their direction only; you can imagine that the sky is a big sphere with astronomical objects located at different positions on it. This is called the celestial sphere
The positions of the stars can be described with a sort of astronomical longitude and latitude, called right ascension and declination.
Constellations are patterns of stars seen in the sky. However, although the stars in any constellation are all in the same general direction in the sky, the different stars in a constellation may be at very different distances from Earth, hence constellations may not be real associations of stars in space, just stars in the same general direction as seen from Earth.
Only the nearest galaxies are visible to the naked eye, as relatively faint smudges of light, although two of the very nearest galaxies, the Magellanic Clouds, are visible are moderately large clouds from the Southern hemisphere.
Motions in the sky
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a solar system has six terrestrial planets and four jovian planets. each of the six terrestrial planets has at least five moons, while the jovian planets have no moons at all.
As we know that there are two types of planets in our solar system, the terrestrial and jovian planets. Terrestrial planets are the planets that are made up of rock or metal and are much denser and smaller than the jovian planets.
The jovian planets are the planets that are made up of gases and are much larger and less dense than the terrestrial planets. Now let's talk about the number of moons each planet has. Each of the six terrestrial planets has at least five moons, while the jovian planets have no moons at all.
The planets of the solar system have been classified into two categories. The first type of planets is the terrestrial planets, also known as rocky planets, and the second type is the jovian planets, also known as gas giants. The terrestrial planets are smaller, denser, and composed mostly of rock and metal. On the other hand, the jovian planets are larger, less dense, and mostly composed of gases such as hydrogen and helium. As per the given question, a solar system has six terrestrial planets and four jovian planets.
Each of the six terrestrial planets has at least five moons, while the jovian planets have no moons at all.This implies that the terrestrial planets are much more likely to have moons than the jovian planets. It is because the gravitational pull of a planet depends on its size and mass. A smaller planet will have less gravitational pull, which means it can easily capture and hold onto a moon in its orbit. In contrast, a larger planet will have a stronger gravitational pull, which can cause it to lose moons or not capture any at all. Therefore, the terrestrial planets can hold onto moons better than the jovian planets.
The number of moons a planet can have depends on its size, mass, and gravitational pull. The terrestrial planets in our solar system have a higher likelihood of having moons because they are smaller, denser, and have less gravitational pull than the jovian planets. The jovian planets have no moons at all because they are larger, less dense, and have a stronger gravitational pull that can cause them to lose moons.
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Sam (85 kg) takes off up a 50-m-high, 10 degree frictionless slope on his jet-powered skis. The skis have a thrust of 220 N. He keeps his skis tilted at 10 degree after becoming airborne. How far does Sam land from the base of the cliff?
Sam (85 kg) takes off up a 50-m-high, 10 degree frictionless slope on his jet-powered skis. The skis have a thrust of 220 N. He keeps his skis tilted at 10 degree after becoming airborne. Sam lands about 109.9 meters from the base of the cliff.
To solve this problem, we can use the conservation of energy principle. At the bottom of the slope, all of Sam's energy is in the form of potential energy:
Potential energy = mgh
where m is Sam's mass (85 kg), g is the acceleration due to gravity \((9.81 m/s^2)\), and h is the height of the slope (50 m).
Potential energy = \((85 kg) \times (9.81 m/s^2) \times (50 m) = 41,287.5 J\)
As Sam takes off up the slope, his potential energy is converted to kinetic energy and then to a combination of kinetic and potential energy as he becomes airborne. We can use the conservation of energy to find Sam's speed at the top of the slope:
Potential energy at bottom = Kinetic energy at top
\(mgh = (1/2)mv^2\)
where v is Sam's speed at the top of the slope.
\(v = \sqrt{(2gh)} = \sqrt{(2 \times 9.81 m/s^2 \times 50 m)} = 31.3 m/s\)
Now, we can use Sam's speed and the angle of his skis to find his horizontal velocity:
Horizontal velocity = v cos(theta)
where theta is the angle of the skis after becoming airborne (10 degrees).
Horizontal velocity = 31.3 m/s x cos(10 degrees) = 30.2 m/s
Finally, we can use the horizontal velocity and Sam's hang time to find the distance he travels:
Distance = Horizontal velocity x Hang time
where hang time is the time Sam spends in the air. Hang time can be found using the formula:
Hang time = (2v sin(theta)) / g
Hang time = (2 x 31.3 m/s x sin(10 degrees)) / 9.81 \(m/s^2\) = 3.64 s
Distance = 30.2 m/s x 3.64 s = 109.9 m
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What part of a motor causes its electromagnet to turn in the same direction
consistently, transforming electrical energy into mechanical energy?
A. Commutator
B. Loop of wire
C. Permanent magnets
D. Battery
PLS HELP
Answer:
A. Commutator
Explanation:
Commutator is part of a motor causes its electromagnet to turn in the same direction consistently, transforming electrical energy into mechanical energy.
What is energy?Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
A commutator is a rotary electrical switch in certain types of electric motors and electrical generators.
Commutator is part of a motor causes its electromagnet to turn in the same direction consistently, transforming electrical energy into mechanical energy.
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Why is momentum a vector?
Yes - Momentum is a vector quantity because it possesses both magnitude and direction
Penetration capabilities in...
- Radio Waves
- Microwaves
- Infrared
- Visible light
- Ultraviolet
- X-rays
- Gamma rays
Ultra = X-ray
Explanation:
how are things going to paint the roof for beginners painting and decorating the whole house so I'm going away with a few sports mates for a couple nights for beginners but will have a look painting at a time and see what is going to be Strong enough
What is an example of force that are acting on you when you sit in a chair?
Answer:
Newton's third law of motion: Your body exerts a downward force on the chair and the chair exerts an upward force on your body.
Explanation:
The quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms). How many different quantum states are possible if the principal quantum number is n=3?
Explanation:
We need to find the quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms).
We have the principal quantum number, n = 3
The value of l = n-1
l = 0,1,2,3
The value of \(m_l\)
\(m_l=-l\ \text{to}\ +l\\\\m_l=-3,-2,-1,0,1,2,3\)
The value of \(m_s\)
\(m_s=\dfrac{-1}{2},\dfrac{+1}{2}\)
Hence, this is the required solution.
or your senior project, you would like to build a cyclotron that will accelerate protons to of the speed of light. The largest vacuum chamber you can find is in diameter. What magnetic field strength will you need?
After calculating, you will find the required magnetic field strength for your cyclotron project.
B = m/(q*r*v)
Where B is the magnetic field strength, m is the mass of the proton, q is the charge of the proton, r is the radius of the vacuum chamber, and v is the velocity of the proton.
First, let's calculate the mass and charge of the proton. The mass of the proton is approximately 1.67 x 10^-27 kg, and the charge is 1.6 x 10^-19 C.
Next, we need to find the velocity of the proton. You stated that you would like to accelerate the protons to 0.99c, or 99% of the speed of light. The speed of light is approximately 3 x 10^8 m/s, so 0.99c is approximately 2.97 x 10^8 m/s.
Now, we can plug in our values and solve for B:
B = (1.67 x 10^-27 kg)/(1.6 x 10^-19 C * (150/2) * 2.97 x 10^8 m/s)
The diameter of the vacuum chamber is given as 150, so we need to divide it by 2 to get the radius (r).
Simplifying this equation, we get:
B = 0.312 T
Therefore, you will need a magnetic field strength of approximately 0.312 T to accelerate protons to 99% of the speed of light in a vacuum chamber with a diameter of 150.
The magnetic field strength (B) required for the cyclotron. To achieve this, use the cyclotron equation:
B = (2 * π * m * v) / (q * r)
where:
- m is the mass of the proton (1.67 × 10^-27 kg)
- v is the speed of the protons (0.5 × speed of light = 0.5 × 3 × 10^8 m/s)
- q is the charge of the proton (1.6 × 10^-19 C)
- r is the radius of the vacuum chamber (half of the diameter)
Given a diameter of 150 meters, the radius (r) will be 75 meters. Plug the values into the equation and solve for B:
B = (2 * π * 1.67 × 10^-27 kg * 1.5 × 10^8 m/s) / (1.6 × 10^-19 C * 75 m)
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A plastic cup of negligible mass contains 0. 280 kg of an unknown liquid at a temperature of 30. 0∘ C. A 0. 0270kg mass of ice at a temperature of 0. 0 C is added to the liquid, and when thermal equilibrium is reached the temperature of the combined substances is 14. 0 ∘C. Assuming no heat is exchanged with the surroundings, what is the specific heat capacity of the unknown liquid? Express your answer in Joules per kilogram-Kelvin
The specific heat capacity of the unknown liquid is approximately -175 J/kg-K. Note that the negative sign indicates that the liquid is losing heat.
To find the specific heat capacity of the unknown liquid, we can use the principle of conservation of energy.
First, let's calculate the heat gained by the ice:
Q_ice = m_ice * c_ice * ΔT_ice
Where:
m_ice = mass of ice = 0.0270 kg
c_ice = specific heat capacity of ice = 2.09 × 10^3 J/kg-K
ΔT_ice = change in temperature of ice = 14.0°C - 0.0°C = 14.0 K
Q_ice = 0.0270 kg * 2.09 × 10^3 J/kg-K * 14.0 K
Q_ice = 785.04 J
Next, let's calculate the heat lost by the liquid:
Q_liquid = m_liquid * c_liquid * ΔT_liquid
Where:
m_liquid = mass of liquid = 0.280 kg
c_liquid = specific heat capacity of the unknown liquid (to be determined)
ΔT_liquid = change in temperature of the liquid = 14.0°C - 30.0°C = -16.0 K
Q_liquid = 0.280 kg * c_liquid * (-16.0 K)
Q_liquid = -4.48 * c_liquid
Since there is no heat exchange with the surroundings, the heat gained by the ice is equal to the heat lost by the liquid:
785.04 J = -4.48 * c_liquid
Solving for c_liquid:
c_liquid = 785.04 J / (-4.48)
c_liquid ≈ -175 J/kg-K
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1. A toy car is marked to go at 0.5m/s, which of the following sets of
experimental numbers stay precise? *
a. 1.5m/s, 0.9m/s, 0.8m/s, 1.1m/s
O b. 0.6m/s, 0.7m/s, 0.61m/s, 0.62m/s
c. 2.1 m/s, 2.0m/s, 2.03m/s, 2.4m/s
d. 3.1m/s, 3.0m/s, 2.9m/s, 3.0m/s
Answer:
b. 0.6m/s, 0.7m/s, 0.61m/s, 0.62m/s
Explanation:
Precision of a measurement is the closeness of the experimental values to one another. Hence, experimental measurements are said to be precise if they are close to each other irrespective of how close they are to the accepted value. Precision can be determined by finding the range of each experimental value. The measurement with the LOWEST RANGE represents the MOST PRECISE.
Note: Range is the highest value - lowest value
Set A: 1.5 - 0.8 = 0.7
Set B: 0.7 - 0.6 = 0.1
Set C: 2.4 - 2.0 = 0.4
Set D: 3.1 - 2.9 = 0.2
Set B has the lowest range (0.1), hence, represent the most precise value.
a battery is connected to a resistor. as charge flows, the chemical energy of the battery is dissipated as _________.
As charge flows, the chemical energy of the battery is dissipated as the time of charge flow increases.
Electric power is defined as the rate at which electric energy is dissipated.
The power of the current flowing through the circuit is calculated as follows;
P = IV
P = I x IR
P = I²R
where;
P is the power dissipatedI is the current flowing in the circuitR is the resistance of the circuitThe electric energy is given as;
E = Pt
E = I²Rt
Thus, we can conclude that as charge flows, the chemical energy of the battery is dissipated as the time of charge flow increases.
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