Suppose scientists discover a new mini planet just beyond earth's orbit that takes 1.05 years to orbit the sun. 21 years would it take this mini planet to move once all the way around our sky.
What is the synodic or sidereal period?The sidereal orbital period of the Moon, also known as the sidereal month, is 27.3 days. During this time, the Moon revolves 360° about the Earth in relation to the "fixed" stars. The duration of the lunar phases (the synodic month), such as the time between full moons, is longer and lasts for around 29.5 days. Due to the fact that the moon and Sun are travelling in tandem around the Sun, the orbital period, which is 27.32 days, is not the same as the synodic period, or the time between consecutive full moons or successive new moons, which is 29.53 days.
As we know that
Synodic period of this hypothetical planet
[tex]P_{\text{syn}} = \frac{P_{sid}}{P_{sid} - 1}[/tex]
= 1.05/1.05 - 1
= 21 Years
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A satellite of mass 2,000 kg is in an elliptical orbit about the Earth: When the satellite reaches point A, which is the closest point to the Earth, its orbital radius is 1.2 x10^7 m and its orbital velocity is 7.1x 10^3 m/s. (ME = 6x10^24 kg and Re = 6.4x10^6m) - Determine the total mechanical energy of the satellite at point A assuming that the gravitational potential energy is zero at an infinite distance from the Earth.
- Determine the angular momentum of the satellite at point A.
- What is the minimum speed of the satellite at point A in order to escape from Earth?
a. The total mechanical energy is [tex]EM = -4.4*10^{14} J.[/tex]
b. The angular momentum of the satellite at point A is [tex]L = 8.5*10^{12} kg m2/s.[/tex]
c.The minimum speed of the satellite at point A in order to escape from Earth is [tex]ve = 11.2*10^{3 }m/s.[/tex]
a. The total mechanical energy of the satellite at point A is equal to the sum of its kinetic and potential energies. The kinetic energy is given by [tex]KE = \frac{1}{2} mv2,[/tex], where m is the mass of the satellite and v is the orbital velocity. The potential energy is given by [tex]PE = \frac{-GMEm}{r}[/tex], where G is the gravitational constant, M is the mass of the Earth, and r is the orbital radius. Thus, the total mechanical energy is
[tex]EM = KE + PE = \frac{1}{2} mv2, - \frac{GMEm}{r}.[/tex]. Substituting [tex]m = 2,000 kg, v = 7.1*10^{3} m/s, \\G = 6.67*10^{-11} N m2/kg2, M = 6*10^{24} kg,\\r = 1.2*10^{7} m[/tex]
we obtain[tex]EM = -4.4*10^{14} J.[/tex]
b. The angular momentum of the satellite at point A is given by L = mvr, where m, v, and r are as defined above. Substituting the given values, we obtain [tex]L = 8.5*10^{12} kg m2/s.[/tex]
c. The minimum speed of the satellite at point A in order to escape from Earth is the escape velocity, which is equal to the square root of twice the gravitational potential energy at point A. Substituting the given values for M and r, we obtain the escape velocity [tex]ve =\sqrt(2GM/r) = 11.2*10^{3 }m/s.[/tex]The minimum speed of the satellite must be greater than the escape velocity in order for it to escape from Earth.
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The half-life of 158O is 122 s. How long does it take for the number of 158O nuclei in a given sample to decrease to a factor of 1×10−3 of the initial value?
The time taken by 10.3 half lives is 1257 s which is equal to for the number of 15 8 O nuclei in a given sample to decrease to a factor of 8 × 10⁻⁴ of the initial value.
The equation which determines the disintegration of atoms is,
N = N₀ e⁻(λt)
where, N is the number of atoms undergoing decay
N₀ is the initial number of atoms present
λ is the rate constant
t is the time
For the number of 15 8 O nuclei in a given sample to decrease to a factor of 8 × 10⁻⁴ of the initial value, the number of half-lives decay took place be n which is given by,
2⁻ⁿ = 8 × 10⁻⁴
Taking log on both sides we have,
- n ln 2 = ln(8 × 10⁻⁴)
n = 10.3
Time taken to complete 10.3 half lives is 10.3 × 122 s = 1257 s which is equal to for the number of 15 8 O nuclei in a given sample to decrease to a factor of 8 × 10⁻⁴ of the initial value.
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You attempt to use your multimeter to measure the electric potential difference, but the value stays at 0.00 V no matter what you do and there is an H on the screen. What's going on?
a. The multimeter is probably broken and you should give it to your instructor/TA.
b. You probably plugged in the wires incorrectly. Try using the 10A and V ports.
c. Someone pressed the "Hold" button. If you press it again, the multimeter should work correctly.
d. Someone pressed the "Handheld" button. The multimeter will only work if you hold it in your hand while using it.
Someone pressed the "Hold" button. If you press it again, the multimeter should work correctly.
When the "Hold" button is pressed on a multimeter, it temporarily freezes the measurement value displayed on the screen, even if the voltage being measured changes. This can be useful if you want to take note of a specific reading without having to continually look at the screen. If the value stays at 0.00 V and an "H" is displayed, it is likely that the "Hold" button has been pressed, and pressing it again should release it and allow the multimeter to display accurate voltage readings.
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Two cars leave an intersection at the same time, one heading east and the other heading south. Some time later the cars were 200 mi apart. If the car heading south travels 50 miles farther than the car going east, how far does the car heading east travel? round the answer to the nearest tenth.
If the car heading south travels 50 miles farther than the car going east, how far does the car heading east travel travels 150.0 miles, the problem can be solved by the formula d = rt.
The used equation is d = rt, The equation states that the distance traveled is equal to the rate times the time. This equation can be used to calculate the distance traveled by an object, given that the rate and time are known. In this case, the rate was the same for both cars and the time was the same for both cars, allowing us to calculate the distance traveled by a car heading east. Since we know that the car heading south traveled 50 miles farther than the car going east, we can subtract 50 miles from the total distance of 200 mi to find the distance traveled by car heading east. This gives us a value of 150 mi, which can be rounded to the nearest tenth to give us 150.0 miles.
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what is the maximum pressure (gauge) of the pressurized gas that the pipe can carry before the mercury spills out of the open end of the manometer
The maximum pressure that a pipe can carry before the mercury spills out of an open-end manometer depends on the height of the mercury column and the density of the gas.
An open-end manometer is a device used to measure fluid pressure, usually in a gas or liquid. It consists of a U-shaped tube filled with a liquid, typically mercury or water, and has one end open to the atmosphere.
The pressure of the fluid being measured is transferred to the liquid in the manometer, which results in a change in the height of the liquid column. This change in height can then be used to calculate the pressure, based on the density of the liquid and the height of the column.
The pressure can be calculated using the equation of hydrostatic pressure: Pressure = (density of mercury * acceleration due to gravity * height of mercury column).
The maximum pressure is reached when the pressure exerted by the gas in the pipe equals the pressure exerted by the mercury column, which results in the mercury spilling out of the open end of the manometer.
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a paddle boat can move at a speed of 2 km/h in still water. the boat is paddled 4 km downstream in a river in the same time it takes to go 1 km upstream. what is the speed of the river?
Speed of river = 1.6 km/h
Speed of river = (4 km - 1 km) / Time
Time = (4 km + 1 km) / 2 km/h
Time = 5/2 hours = 2.5 hours
Speed of river = (4 km - 1 km) / 2.5 hours
Speed of river = 1.6 km/h
What is speed?
Speed is a measure of how quickly an object is moving. It is the rate of change in the object's position over a period of time. It is usually measured in units such as meters per second, kilometers per hour, or miles per hour. Speed is a scalar quantity, meaning it only requires a magnitude to describe it. It is different from velocity, which is a vector quantity, meaning it requires both a magnitude and a direction to describe it. Speed affects the time it takes to travel a given distance, and is also a factor in acceleration and deceleration. Speed is a fundamental concept in physics, and is used to calculate the kinetic energy of an object.
Therefore, Speed of river = 1.6 km/h
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you need to measure the height of a small tree. your metal measuring tape has been sitting in the sun on a hot summer day while your coworker’s measuring tape has been in an air-conditioned car.
A 25°c calibration has been applied to a steel tape measure. If a length of plastic pipe is measured with a tape measure at 15 °C outdoors, the measurement will be smaller than the real measurement.
The Temperature.
In particular, temperature is a measurement of the average kinetic energy, or energy associated with motion, of the particles that make up an item. It describes the temperature of something. However, how hot and how cold are they exactly? The usage of terms like hot and cold is not particularly scientific.
If we want to precisely express how hot or cold something is, we must utilise temperature. How hot is, for instance, molten iron? In order to respond, a physical scientist would take into account the temperature of the liquid metal. The word "temperature" should be used in place of ambiguous terms like "hot" or "cold."
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the human body is made primarily of water, which has a density of 1000 kg/m3. a certain woman weighs 119 pounds. one kilogram of mass weighs about 2.2 pounds.
The woman has a volume of approximately 0.05404 m3, which is primarily made up of water.
The conversion factor between pounds and kilograms is 1 pound = 0.45359237 kilograms. So, to convert the weight of the woman from pounds to kilograms, we can use the following calculation:
119 pounds * 0.45359237 kilograms/pound = 54.04 kilograms
The density of water is 1000 kg/m3, which means that a volume of 1 m3 of water weighs 1000 kilograms. To calculate the volume of the woman, we can divide her mass by the density of water:
Volume = Mass / Density = 54.04 kilograms / 1000 kg/m3 = 0.05404 m3.
So, the woman has a volume of approximately 0.05404 m3, which is primarily made up of water.
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how far is 1500 meters
1500 meters is approximately equivalent to 1.5 kilometres or 4,921 feet.
We can convert 1500 metres into kilometres by:
1 km = 1000 metres
Therefore, 1500/1000 = 1.5 kilometres
What do you mean by SI unit?The SI unit (International System of Units) is the world's most widely used system of measurement. It is a decimal system of units and is based on seven base units for seven base quantities.
What are the seven base SI units?The seven base units of the SI system are meter (m) for length, kilogram (kg) for mass, second (s) for time, mole (mol) for the amount of substance, kelvin (K) for temperature, ampere for current and for luminous intensity candela (cd).
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1500 meters is equivalent to approximately 0.93 miles or 1.5 kilometer.
What is kilometer ?Kilometer (km) is a unit of length in the metric system, equal to one thousand meters (1,000 m). It is often used to measure the distance between two locations, such as the length of a road or the distance between two cities. Kilometers are also used to measure the speed of an object or vehicle, usually in kilometers per hour (km/h). For example, the maximum speed limit on some highways in the United States is 65 miles per hour (mph), which is equal to 104.6 kilometers per hour (km/h). Kilometers are also used to measure the size of a country, such as the total area of the United States, which is approximately 9.8 million square kilometers.
To convert from meters to miles, divide the number of meters by 1609. To convert from meters to kilometers, divide the number of meters by 1000.
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Identify the factors that affect the frequency and the period of a vibrating mass on a spring. For each factor having an effect, describe the effect (e. G. , state something like. "As the_____ increases , the period _____ and the frequency _____ ")
The factors that affect the frequency and the period of a vibrating mass on a spring are mass of the object, spring constant, amplitude of vibration, damping force, and initial conditions.
There are several factors that affect the frequency and period of a vibrating mass on a spring, including:
Mass of the object: As the mass of the object increases, the period increases and the frequency decreases.Spring constant: As the spring constant increases, the frequency increases and the period decreases.Amplitude of vibration: The amplitude of vibration does not affect the frequency of vibration, but it does affect the period. As the amplitude of vibration increases, the period remains constant.Damping force: As the damping force increases, both the frequency and the period decrease.Initial conditions: The initial conditions, such as the initial displacement and velocity of the mass, can also affect the frequency and period of vibration. However, these factors are specific to a particular scenario and can be difficult to predict without a full understanding of the system's behavior.To learn more about damping force visit: https://brainly.com/question/14931820
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A 4. 0 kg bowling ball sliding to the right at 8. 00 m/s has an elastic head-on collision with another 4. 0 kg bowling ball initially at rest. The first ball stops after the collision. Find the velocity of the second ball after the collision.
The velocity of the second ball after the collision is 8.00 m/s. The velocity of the second ball is the same as the first ball after the collision.
What is the collision?
In physics, collision, which is also known as impact, is the abrupt, forceful coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when coupled, or a falling object and a floor.
Given that the initial velocity of the first ball is u₁ = 8. 00 m/s.
The mass of the ball is m₁ = 4.0 kg.
The final velocity of the first ball is v₁ = 0 m/s
The initial velocity of the second ball is u₂ = 0 m/s.
The mass of the ball is m₂ = 4.0 kg.
The final velocity of the first ball is v₂ = ? m/s
The formula of collision is
m₁u₁+m₂u₂ = m₁v₁+m₂v₂
Now putting the values:
4.0×8.00 + 4.0×0 = 4.0×0 + 4.0×v₂
4.0×8.00 = 4.0×v₂
v₂ = 8.00 m/s
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You have been using an analogy between a row of sticky notes and the sandpaper surface to develop your ideas about how a frictional force is produced when a block slides across sandpaper. However, you have seen that even when the block slides across an apparently smooth tabletop, it still slows down. Consider how our analogy might be extended to explain how a frictional force is produced when the block slides across an apparently smooth surface. What do you think you would see if you looked at a smooth tabletop with a powerful magnifier? A A thin layer of moisture on the surface that makes it somewhat 'sticky' B. Very small bumps and grooves in the surface C. Nothing. It would still look perfectly smooth
The following will happen if we looked at a smooth tabletop with a powerful magnifier:
A thin layer of moisture on the surface makes it somewhat 'sticky'
Hence, option (a) is the correct choice.
If you looked at a smooth tabletop with a powerful magnifier, you would likely see very small bumps and grooves on the surface.
These small imperfections in the surface can cause a frictional force to be produced when a block slides across it.
The frictional force is due to the interaction between the small bumps and grooves in the surface and the surface of the block.
The bumps and grooves can create small points of contact between the two surfaces, which resist the motion of the block and produce a frictional force.
This is similar to the way that the sticky notes in the analogy produce a frictional force by sticking to each other.
The small imperfections in the surface can be thought of as the 'stickiness' in the analogy.
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According to the theory of relativity, the mass m of a particle depends on its velocity v. Consider the following equation, where m0 is the mass when the particle is at rest and c is the speed of light.
The equation for the mass of a particle according to the theory of relativity is: m = m0 / (1 - (v/c)^2), where m0 is the mass when the particle is at rest and c is the speed of light.
This equation shows that the mass of a particle increases as its velocity approaches the speed of light. For example, when a particle reaches the speed of light, its mass becomes infinite.
This is why the equation for the mass of a particle includes the speed of light, as the particle's mass depends not only on its velocity, but also on the speed of light.
At very high velocities, the relativistic mass of a particle can be significantly greater than its rest mass, and this difference increases as the particle's velocity increases.
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When a gas is turned into a liquid, the process is called?
Answer:
the process is condensation
A tennis ball of mass 0. 060 kg travels horizontally at a speed of 25 m / s. The ball hits a tennis racket and rebounds horizontally at a speed of 40 m / s. The ball is in contact with the racket for 50 ms. What force does the racket exert on the ball?.
When the ball makes 50 milliseconds of contact with the racquet. The racket applies 600 N of power to the ball.
The equation of impulse, F × Δt = Δp, may be used to determine the force applied to the ball by the racket: F is the force, t is the time the force was delivered (50 ms), and p is the change in momentum of the ball. Calculating the change in momentum is as follows:
Δp = m × ([tex]v_f[/tex] - [tex]v_i[/tex])
where m is the mass of the ball (0.060 kg), [tex]v_f[/tex] is the final velocity of the ball (40 m/s), and [tex]v_i[/tex] is the ball's starting speed (25 m/s). The result of substituting for impulse in the equation is F × 0.050 s = 0.060 kg × (40 m/s - 25 m/s).
When we solve for F, we see that the racket's force on the ball is around 600 N.
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how much time after the stage-two firing will it take for the rocket to fall back to the launch pad?
After 30.15 sec the stage-two firing will it take for the rocket to fall back to the launch pad.
What is projectile motion?
When a particle is thrown obliquely close to the Earth's surface, it travels along a curved path while experiencing constant acceleration. Always pointing in the direction of the Earth's center is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.
In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s² upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the velocity of the rocket to 132.5 m/s upward at 35.0 s after launch.
The formula is
s = ut + 1/2at²
In the initial stage, the velocity is zero, acceleration is a = 3.50 m/s², t = 25 sec.
s = 0 ×25+ 1/2× 3.50 × 25²
s = 1,093.75 m
In the next stage, the initial velocity is 132.5 m/s and at the highest point the velocity is 0 m/s and acceleration is a = -9.8 m/s
v² - u² =2as
0² - 132.5² = 2 × (-9.8) × s
s = 895.73
The maximum height of the rocket is 1,093.75 + 895.73 = 1989.48 m
When the rocket is fall the initial velocity is u = 0 m/s, acceleration a = -9.8 m/s, s = 1989.48 m
s = ut + 1/2at²
1989.48 = 0× t + 1/2 ×9.8× t²
t² = 406.01
t = 20.15 s
The total time is 10 + 20.15 s =30.15 s
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Complete question:
In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket's velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air resistance can be neglected.
How much time after the stage-two firing will it take for the rocket to fall back to the launch pad?
a sample of a gas occupies 250. ml at 1.00 atm of pressure. if the pressure increases to 2.00 atm while the temperature stays the same, what is the new volume?
The new volume of the gas is 500. ml at 2.00 atm of pressure.
The relationship between pressure, volume, and temperature of a gas can be described by the ideal gas law, which states that PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature (in Kelvin).
Since the temperature remains constant, we can assume that the number of moles of gas and the gas constant are also constant. So, we can rearrange the equation to solve for volume: V = nRT / P.
Substituting the given values, we have: V = nRT / 2.00 atm, and V = nRT / 1.00 atm. Dividing these two equations gives us:
V2 / V1 = (2.00 atm) / (1.00 atm) = 2
So, the new volume (V2) is equal to the original volume (V1) multiplied by 2:
V2 = V1 * 2 = 250. ml * 2 = 500. ml is the new volume.
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HISTOLOGY VOCAB Write a word from the box in each blank below. 1. The inside of a hollow organ 2. The center of a solid organ capsule colloid cortex duct 3. Layers around the medulla 4. A fibrous covering of an organ 5. A ball-shaped structure 6. A gelatinous gooey mixture follicle lumen 7. A tube that carries some substance medulla
Histology is the study of the microscopic anatomy of cells, tissues, and organs. In histology, several terms are used to describe the different structures and features of an organ. These terms include:
The inside of a hollow organ is referred to as the "lumen."
The center of a solid organ is referred to as the "medulla."
Layers around the medulla are referred to as the "cortex."
A fibrous covering of an organ is referred to as the "capsule."
A ball-shaped structure is referred to as a "follicle."
A gelatinous gooey mixture is referred to as a "colloid."
A tube that carries some substance is referred to as a "duct."
These terms are used to describe and identify the different structures and features of an organ, and are important for understanding the anatomy and function of different organs. Understanding the vocabulary of histology is crucial for students and professionals in the medical field, as it helps in the proper diagnosis and treatment of diseases and disorders.
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what is the speed of the proton when it is accelerated from rest through a potential difference of -600
The speed of the proton when it is accelerated from rest through a potential difference is 3.39 x 10⁵ m/s.
What is the speed of the proton?
The speed of the proton is calculated by applying the following equation as shown below.
eV = ¹/₂mv²
mv² = 2eV
v² = ( 2eV ) / ( m )
v = √ [ ( 2eV ) / ( m ) ]
where;
m is the mass of protone is the charge of the protonV is the potential differencev is the speed of the protonv = √ [ ( 2 x 1.6 x 10⁻¹⁹ x 600 ) / ( 1.67 x 10⁻²⁷ ) ]
v = 3.39 x 10⁵ m/s
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You are standing in the middle of the far side of the Moon. Which one of the following statements about what you can and cannot see would be true?
a. Earth would set about 14 days after rising.
b. The starts visible from tat location would be very different from the stars visible from earth at that time of year.
c. You could never see earth from that location.
d. You could never see the sun from that location.
option b. The starts visible from that location would be very different from the stars visible from Earth at that time of year. it's important to understand that the Moon is tidally locked to the Earth.
which means that it rotates on its axis at the same rate that it orbits the Earth. This results in the same side of the Moon always facing the Earth. The side facing away from the Earth is known as the far side of the Moon. Because the far side of the Moon always faces away from the Earth, you would not be able to see Earth from that location. The Sun would also be invisible as it would be hidden by the Moon itself. However, because the Moon rotates on its axis, over the course of a lunar day (which lasts about 29.5 Earth days), you would see different stars rise and set. So the stars visible from the far side of the Moon would indeed be very different from the stars visible from Earth at any given time of year.
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contrast continental collision and volcanic island arc formation. sort properties of each.
Continental collision and volcanic island arc formation are two different geological processes that result in the formation of land masses.
Continental collision:
Occurs when two continents collide and merge into a single landmass
Typically results in the creation of large mountain ranges
Involves the thickening and uplift of the Earth's crust
Often occurs over millions of years
Volcanic island arc formation:
Occurs when magma rises to the Earth's surface through a subduction zone
Typically results in the formation of chain of volcanic islands
Involves the subduction of one tectonic plate beneath another
Often occurs in an oceanic-oceanic or oceanic-continental boundary
In summary, continental collision is the result of two continents colliding and merging into a single landmass, often resulting in large mountain ranges. Volcanic island arc formation is the result of magma rising to the Earth's surface through a subduction zone, often resulting in a chain of volcanic islands.
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what is the density of a liquid with a mass of 31.1415 g and a volume of 30.13 cm3?
The liquid with a mass of 31.1415 g and a volume of 30.13 cm³ has a density of 1.033 g/cm³.
Density is a measurement that compares the amount of matter an object has to its volume. An object with much matter in a certain volume has a high density.
The density formula and the procedure we will use is,
Mathematically, d = m/v
where, v is volume
d is density
m is mass
Mass of liquid is given as 31.1415 g.
Volume of the liquid is given as 30.13 cm³.
Placing the known values into the above equation, we have,
d = m/v = 31.1415/30.13 = 1.033 g/cm³
Thus, the density of the liquid is calculated to be 1.033 g/cm³.
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the current at the terminals on the element in fig. 1.5 is i=0, t<0; i = 20e-5000tA, t>= 0. calculate the total charge in microcoulombs, entering the element at its upper terminal
Therefore, the total charge entering the element at its upper terminal is 10^6 t^2 microcoulombs, where t is the time interval.
What is the element ?An element is a chemical substance that is made up of a single type of atom. All elements are organized on the periodic table, and each element is given a unique atomic number that is used to identify it. Elements can combine to form compounds, which contain two or more different types of atoms. Compounds are the building blocks of all matter in the universe.
The total charge entering the element at its upper terminal is the area under the current-time curve for t>=0.
The current-time curve for t>=0 is a linear line with a slope of 20e-5000 A/s. Therefore, the total charge entering the element at its upper terminal is the area of a triangle with base and height equal to the time interval t and the current i, respectively.
The total charge in microcoulombs is given by:
Q = (1/2) (t)(20e-5000t) x 10^6 = 10^6 t^2.
Therefore, the total charge entering the element at its upper terminal is 10^6 t^2 microcoulombs, where t is the time interval.
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what is the particle's angular velocity at a) t =1
At time t = 1 s, the particle's angular velocity is 6.28 rad/s (role="math" localid="1652184311109").
w = theta / t, where w = angular velocity, theta = position angle, and t = time, denotes the rate of change of an object's position angle with respect to time. Therefore, the wheel's angular velocity at t=15s t = 15 s is 8.33rad/s 8.33 r a d/s. A particle's instantaneous velocity, or v(t), is the derivative of its position relative to time. Therefore, v(t)=dxdt. This derivative is frequently represented by the symbols x(t) or just x. The amount of rotational angle (or angular displacement) made by a rotating body in one unit of time is known as its angular velocity.Omega () is used to represent it. Angular velocity is defined mathematically as rad/s = dtd. SI units are measured in radians per second.
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What is the temperature of 1000 K on the Celsius scale?
The required temperature on celsius scale when temperature on kelvin scale is given is calculated to be 726.85 °C.
The thermometer industry's two most used temperature measurement scales are the Celsius and Kelvin scales. One degree on the Celsius scale has the same value as one degree on the Kelvin scale since the temperature difference or change is the same on both measures.
The given temperature in kelvin scale is 1000K.
Let us convert it into celsius scale.
The relation between celsius scale and kelvin scale is
°C = K - 273.15
where,
°C is temperature in celsius scale
K is temperature in kelvin scale
Putting the known values into the above equation, we have,
°C = 1000 - 273.15 = 726.85 °C
Thus, the required temperature is 726.85 °C.
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what must the charge (sign and magnitude) of a particle of mass 1.43 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 690 n/c ? use 9.80 m/s2 for the magnitude of the free-fall acceleration.
The charge of a particle of mass 1.43 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 690 n/c.
What is gravitational force?
Gravitational force is a type of force that exists between any two objects with mass. It is the force of attraction between objects that is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them. The strength of gravitational force is determined by the force of gravity, which is determined by the mass of objects and the distance between them.
Charge of Particle = q
Gravitational Force (Fg) = m * g
Electric Force (Fe) = q * E
Fg = Fe
m * g = q * E
q = (m * g) / E
q = (1.43 g * 9.80 m/s²) / (690 n/c)
q = 0.0211 C
Charge (sign and magnitude) of the particle is 0.0211 C.
Thus, The charge of a particle of mass 1.43 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 690 n/c.
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what is the value for work and is it done on or by the system when 87.33 kj of heat is absorbed and the internal energy is 1,999 j?
The value for work done on the system is -89.32 kJ.
In this case, heat has been absorbed by the system, which means the internal energy of the system has increased. Internal energy is defined as the total energy of a system, including its thermal energy, kinetic energy, and potential energy.
The change in internal energy is given by the equation:
ΔU = Q - W
Where ΔU is the change in internal energy, Q is heat transfer into or out of the system, and W is work done on or by the system.
Given the information that 87.33 kJ of heat has been absorbed and the internal energy is 1,999 J, we can calculate the work done on the system:
ΔU = Q - W
ΔU = 87.33 kJ - W
ΔU = 87.33 kJ - W
ΔU = 87.33 x 10^3 J - W
ΔU = 87,330 J - W
ΔU = 87,330 J - W
ΔU = 1,999 J
87,330 J - W = 1,999 J
W = 87,330 J - 1,999 J
W = 85,331 J
W = 85.33 kJ
So the value for work done on the system is -85.33 kJ. This means that 85.33 kJ of energy has been transferred from outside the system to the system due to a force acting over a distance.
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A piece of aluminium of mass 260g is cooled in a freezer. It is then dropped into 140 g of water at 5°C, causing 4.0g of water to freeze. Determine the temperature inside the freezer
Answer:
To determine the temperature inside the freezer, you need to calculate the enthalpy of fusion of the 4g of water that froze. The enthalpy of fusion of water is 334 J/g. Thus, the total enthalpy of fusion of the 4g of water is 334 J/g × 4 g = 1336 J. The total heat gained by the water and aluminium is the enthalpy of fusion of the water plus the heat gained by the aluminium by cooling it in the freezer. Since the heat gained by the aluminium is equal to the heat lost by the water, the temperature inside the freezer can be calculated using the equation Q = mcΔT, where Q is the heat transfer, m is the mass of the aluminium, and ΔT is the change in temperature. Thus, the temperature inside the freezer is 1336 J / (260g × 0.90 J/g°C) = 6.2°C
which of the following levers would be most effective to use to move a specific object if your only objective was a slight movement of the object? a third-class lever with a resistance arm of 20 and a force arm of 10 each lever would be just as effective as the others a second-class lever with a resistance arm of 10 and a force arm of 20 a first-class lever with a resistance arm of 10 and a force arm of 10
3rd class with RA of 20 and FA of 10 levers would be best to use to move a specific object if your only objective was speed of the object's movement.
What do you mean by speed?Speed, which is a scalar quantity, is the "speed at which an object is moving." The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time.
Miles per hour (mph), kilometres per hour (km/h), and metres per second (m/s) are the three most popular speed units (mph). The distance an object covers in a given amount of time is its speed. Speed equals distance x time is the speed equation. The metre per second, abbreviated as m/s or ms-1, is the SI unit of speed.
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NOTE: The given question is incomplete on the portal. Here is the complete question.
QUESTION: Which of the following levers would be best to use to move a specific object if your only objective was speed of the object's movement?
A. 1st class with RA of 10 and FA of 20
B. 2nd class with RA of 10 and FA of 20
C. 3rd class with RA of 20 and FA of 10
D. each would be just as effective as the others
A Ferris wheel has radius 46 meters and it moves at a rate of 2 revolutions per minute. Approximate the angular velocity of the Ferris wheel ω in radians per minute. Give approximation correct to one decimal place.
The angular velocity of the Ferris wheel can be calculated using the formula ω = (2π/60) × (2 rev/min), where 2π radians is equal to 360 degrees.
What is the radians ?Radians are a unit of measure used in mathematics and trigonometry to measure angles. It is defined as the angle subtended at the center of a circle by an arc of the circumference that is equal in length to the radius of the circle. Radians are used to measure angles in both two-dimensional and three-dimensional space, and can be expressed as a ratio of the length of the arc to the radius of the circle. The most common radian measure is the radian, which is equal to 180/π degrees.
ω ≈ 0.4 rad/min
The angular velocity of the Ferris wheel can be calculated using the formula ω = (2π/60) × (2 rev/min), where 2π radians is equal to 360 degrees.
Therefore, ω = (2π/60) × (2 rev/min) = (2π/30) rad/min ≈ 0.4 rad/min.
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