The complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is: j200Ω.
What is inductance?
Inductance is a property of an electrical component that describes the ability of the component to store energy in a magnetic field when electric current passes through it.
Inductance is measured in units of henrys (H). When current flows through a component with inductance, it creates a magnetic field around the component that resists changes to the current. This resistance to changes in current is called inductive reactance and is measured in units of ohms.
The complex impedance of an inductor is given by Z = jωL, where ω is the angular frequency and L is the inductance.
Therefore, the complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is:
Z = j(2000π) (100 x 10-3) = j(2π) (100 x 10-3) = j200Ω
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What is called solar energy?
Answer:
energy from the sun
Explanation:
the sun radiates energy known as solar energy.
Two particles P and Q are initially at rest 1.64 m apart, P has a mass of 1.43 kg and Q a mass of 4.29 kg. P and Q attract each other with a constant force of 1.79 x 10-2 N. No external forces act on the system. (a) Describe the motion of the center of mass. (b) At what distance from P’s original position do the particles collide?
(a)The center of mass of the system has no acceleration, and remains at the same position as it was earlier.
(b)The particle P, collide at a distance 1.23m from P's original position.
What is acceleration?Vector quantities include accelerations. The direction of the net force imposed on an object determines its acceleration in relation to that force.Acceleration in a body is the result of imbalanced forces.The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not traveling straight ahead, it is said to be accelerating.To learn more about acceleration refer to:
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A man is pushing a baby stroller. Compared to the magnitude of the force exerted on the stroller by the man, the magnitude of the force exerted on the man by the stroller is A larger. B zero. C smaller, but greater than zero. D the same
A man is pushing a baby stroller. Compared to the magnitude of the force exerted on the stroller by the man, the magnitude of the force exerted on the man by the stroller is the same.
From Newton's third law of motion, the force exerted on the stroller by the man is same as the force exerted on the man by the stroller but is in the opposite direction.
Thus, the magnitude of the force exerted on the stroller by the man and the magnitude of the force exerted on the man by the stroller is same but in opposite direction.
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How do you calculate the speed of an object rolling down a ramp?
We can calculate the speed of an object rolling motion a ramp by using the equation of motion in which we consider rolling and a tangential force acting on it.
Rolling motion occurs when an object rolls down over a height from the ramp or from any other sloppy or rough surface. the surface can be both smooth or rough, depending on it the friction acts on the object that is rolling over the ramp. we also consider the rolling tangential force in our calculation along with other forces when we tend to calculate the rest of the things. We can calculate the speed of an object rolling motion a ramp by using the equation of motion in which we consider rolling and a tangential force acting on it. Hence by this we can consider that we can calculate the rolling of any object by the equation of motion.
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Patrick and Emily are walking to the grocery store to buy some treats. They walk 3.0
km in 900.0 s. What was their average speed in m/s?
Answer:
3.33 m/s
Explanation:
(3.0 km)(1000 m/km) = 3000 m
Avg. Speed = distance/time = 3000 m/900 s = 3.33 m/s
What is a way Accenture plans to achieve its sustainability goals by achieving net zero emissions through advanced robotics capabilities?
Accenture is leveraging its advanced robotics capabilities to reduce emissions and achieve its sustainability goals.
What do you mean by Emissions?
Emissions are substances that are released into the environment, usually as a result of human activities. These substances can be in the form of gases, particles, or radiation, and they can be either natural or man-made. Common emissions include carbon dioxide, methane, and other greenhouse gases, as well as air pollutants such as volatile organic compounds (VOCs) and particulate matter.
Accenture is developing autonomous robots to reduce the carbon footprint of its operations, as well as to enable more efficient and low-emission operations. These robots are designed to be energy-efficient and require minimal human intervention. They can detect and diagnose potential issues in the system, such as air quality, temperature, and humidity, and can be used to automatically reduce energy consumption. Additionally, Accenture is also exploring the use of robotics to enable more energy-efficient production processes, such as 3D printing and additive manufacturing.
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A 3.00kg mass is attached to an ideal spring with k =200N/m ,if the velocity of the body at 0.25 is 2.3m/s find the amplitude and maximum velocity
Answer:
To solve this problem, you can use the following formula:
v = sqrt(k / m) * A
In this formula, v is the velocity of the mass, k is the spring constant, m is the mass of the object, and A is the amplitude of the oscillation.
Since you know the velocity of the mass at 0.25 seconds, you can substitute this value into the formula and solve for A:
2.3 m/s = sqrt(200 N/m / 3.00 kg) * A
A = 2.3 m/s / sqrt(200 N/m / 3.00 kg)
= 0.23 m
So, the amplitude of the oscillation is approximately 0.23 meters.
To find the maximum velocity of the mass, you can substitute the values for k, m, and A into the formula for velocity:
v = sqrt(200 N/m / 3.00 kg) * 0.23 m
= 2.75 m/s
So, the maximum velocity of the mass is approximately 2.75 m/s.
How do you calculate lever arm in torque?
We can find the torque of lever arm by the formula Torque(T)=Force * perpendicular distance.
A torque is an action that causes objects to rotate. A torque is required to rotate an object, just as a force is required to move an object in a line. Torque is created by force, but it also depends on where the force is applied and the point about which the object rotates.
Force and lever arm are not always perpendicular. When the force and lever arm are not perpendicular, trigonometry is required to calculate the length of the lever arm. The force applied is perpendicular to the surface of the object rotating. When this force is at an angle θ with the plane of the object, the perpendicular force requires the use of the sine function.
When an object is in rotational equilibrium, the net torque applied to it is zero. For example, if an object such as a see-saw is not rotating, you know the torque on each side is balanced Rotational equilibrium is often used to determine unknown forces. Any object that is not moving is in rotational equilibrium and in translational equilibrium.
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An object with mass of 50kg moves with
velocity of 11. 2m/s and an event occur
whereby it transfers 1539 of energy to
another objects as work.
What is the new
velocity of the object after the event??
The new velocity of the object after the event is 7.99m/s.
We are given that,
Mass = m = 50kg
Initial velocity = v = 11.2m/s
Energy = E = 1539j
The kinetic energy of object can be calculated as,
K= (1/2)mv²
K = (50×125.44)/2
K = 3136J
Consequently, since both the initial kinetic energy and the total amount of energy transferred are known. The article's resulting energy is easily discernible.
Final energy = initial kinetic energy - the ending energy
Final energy = 3136-1539= 1597 joules
Therefore, using the equation for kinetic energy derivation, the speed of the object can now be determined.
K.E = 1/2MV²
1597 = 50/2V²
3194 = 50V²
V = 7.99m/s
Therefore , the new velocity of the object after the event would be 7.99m/s.
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Look at the diagram below. Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A.
According to the given statement The variable resistor has a resistance value of 275Ω.
A variable resistor's resistance is, what?A variable resistor's third terminal allows the user to adjust the resistance between zero and a predetermined maximum value. You can notice consistent resistance exists between the terminals 1 and 3 of the variable resistor when the circuit diagram in Figure 4 is closely studied.
Variable resistance: How does it work?Changing the path that current must take allows a variable resistor to function. A conducting metal or ceramic strip that is connected to one area of the circuit is located inside the resistor. Another wire will be moved inside the resistor as you turn the dial.
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The complete question is -
Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A. What is resistance value ?
Under certain circumstances, the grounded (neutral) conductors of a residential service ____ permitted to be sized smaller than the phase conductors.
Under certain circumstances, the grounded (neutral) conductors of a residential service are permitted to be sized smaller than the phase conductors.
What is conductors?
A material that easily permits the flow of electricity is referred to as an electrical conductor. Conductivity is the quality of conductors that enables them to conduct electricity.
Electric current is the name given to the movement of electrons through a conductor. Voltage is the amount of power necessary to cause that current to flow through the conductor.
What is phase ?
Phases are parts of a system that are mechanically separable from other parts of the system and are physically distinct from other parts of the system. types of substance. Solid, liquid, or gaseous phases can exist in a system. Strong atomic bonding and high viscosity, which produce a hard form in solids, are their distinguishing characteristics.
Therefore, Under certain circumstances, the grounded (neutral) conductors of a residential service are permitted to be sized smaller than the phase conductors.
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Normal
Question
Question 22
A projectile is launched into space where there is very little friction. According to Newton's law of inertia, the projectile willmost likely continue to travel in a straight line and?
The projectile will probably keep moving in a straight line and at a constant speed as long as no unbalanced forces are acting on it, according to Newton's law of inertia.
What is law of inertia?The law of inertia, also known as Newton's first law, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by a net external force. In simple words, an object will remain in the same state of motion unless acted upon by an external force. This law explains why it is difficult to start an object moving and easy to keep it moving once it is in motion. This law applies to all objects and is a fundamental principle of physics. It also helps to understand the concept of force, motion and energy in physics.To learn more about law of inertia refer:
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A wheel rotates at 2 rad/s. What is its period and frequency?
(1) The frequency of the oscillation is 0.32 Hz.
(2) The period of the oscillation is 3.13 seconds.
What is the period of the wheel's oscillation?
The period of the wheel's oscillation is the time taken for the wheel to make one complete oscillation.
The period of an oscillatory motion is the reciprocal of the frequency of the oscillation.
The frequency of the oscillation is the number of cycles completed by the oscillatory object in a given second.
The frequency of the wheel undergoing oscillatory motion is calculated by using the following formula.
f = ω / 2π
where;
ω is the angular speed of the wheelf is the frequencyf = ( 2 rad/s ) / 2π
f = 0.32 Hz
The period of the oscillation is calculated as follows;
T = 1 / f
T = 1 / 0.32 s
T = 3.13 seconds
Thus, the period of oscillation and frequency of the oscillation are inversely proportional.
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We are warmed by condensation because water molecules in the air that strike our bodies
A. form an insulating layer on our bodies
B. gain kinetic energy as they change state
C. transfer some of their kinetic energy to us
Condensation warms us because airborne water molecules that impact our bodies give up some of their kinetic energy to us.
What is kinetic energy?
Kinetic energy is the energy of motion. It is the energy that a moving item possesses.It is typically measured in joules and is equal to the work done to accelerate the object from its rest state to its current state. Kinetic energy can be found by multiplying the mass of an object by its velocity squared, divided by two. The kinetic energy of an object increases as its velocity increases.Kinetic energy exists in both linear and rotational forms. Linear kinetic energy is the energy of an object moving in a straight line, while rotational kinetic energy is the energy an object has due to its spinning or rotating motion.
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In a Torricelli barometer, a pressure of one atmosphere supports a 760 mm column of mercury. If the original tube containing the mercury is replaced with a tube having twice the diameter of the original, what would be the height of the mercury column at one atmosphere of pressure
After the original tube containing the mercury is replaced with a tube having twice the diameter of the original tube the height of the mercury column at one atmosphere of pressure is 760 mm.
What is the fundamental meaning of pressure?The force delivered perpendicularly to an object's surface per unit area across which this force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure represents the pressure. Pressure is expressed to use a multitude of units.
How is pressure measured?The formula for calculating pressures is P = F / A, or force per unit of the surface area. The Si system for measuring the pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa).
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Order the electromagnetic waves from lowest frequency (1) to highest (4). gamma: infrared: x-ray: visible light:
Gamma: 4
Infrared: 1
X-Ray: 3
Visible Light: 2
Infrared has the longest wavelength between the four options, meaning that it has the lowest frequency. Since the longer the frequency, the lower the frequency. While the shorter the wavelength, the higher the frequency.
The portions of the electromagnetic spectrum are called from greatest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. Microwaves (such as those used in microwave ovens) are a subset of the electromagnetic spectrum's radio wave segment.
Next would be visible light since it has the second longest wavelength out of the given options. Then it would be X-Ray. And finally Gamma since it has the shortest wavelength.
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Which of the following types of microscopes reveals the surface features of small molecules? - a confocal microscope - a fluorescent microscope - a transmission electron microscope (TEM) - an atomic force microscope
The types of microscopes that reveals the surface features of small molecules is an atomic force microscope.
The Atomic Force Microscope (AFM) is useful for imaging the surface topography of living, soft materials in their natural settings. It can be used to examine the inherent elastic modulus and receptor-ligand interactions of cells and extracellular matrix, among other mechanical properties. SEM pictures can investigate surface features that are several tenths of a nanometer in size, but AFM resolution is less than 0.1 nm. As a result, AFM can discern objects on flat surfaces with molecular dimensions.
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In which situation is the maximum possible work done? A. when the angle between the force and displacement is 0° B. when the angle between the force and displacement is 180° C. when the angle between the force and displacement is 45° D. when the angle between the force and displacement is 90°
As a result, the force's effort is at its greatest when there is no angle between its direction and displacement, hence option A is correct.
What is work done?According to physics, a force is an effect that has the power to change an object's motion.
A force can cause a massed item to accelerate or modify its velocity. A push or a pull is a straightforward method to explain forces. Since a force has both magnitude and direction, it is a vector quantity.
Therefore, work is therefore at its greatest when the angle between force and displacement is 0 °.
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Answer: A. when the angle between the force and displacement is 0 degrees.
Explanation:
Edmentum
Two spherical objects have masses of 8,000 kg and 5.0 kg. Their centers are separated by a distance of 1.5 m. Find the gravitational attraction between them.
The gravitational force of attraction between them is 3.56 * 10⁻⁴ N
What is Gravitational attraction?F = G*M1M2/d²,
where G = 6.67 * 10⁻¹¹ Nm²Kg⁻²,
M1 = 8000Kg and M2 = 1500 Kg,
F = 6.67 * 10⁻¹¹ * 8000 * 1500 / (1.5)² F = 3.56 * 10⁻⁴ N
The gravitational force of attraction between them is 3.56 * 10⁻⁴ N.
The universal gravitational law of Newton. According to this law, every body in the universe is attracted to every other body with a force that is inversely proportional to the square of the distance between them and proportional to the product of their masses.
Therefore, The gravitational force of attraction between them is 3.56 * 10⁻⁴ N.
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a log with a mass of 14 kg is suspended by two ropes, one at either end. What is the tension force in each rope
According to the given statement The tension force in each rope is T = 14g/2Sin N, according to the information provided.
What is tension force ?Tension is the force that is transmitted through a cable, rope, or wires when it is stretched by loads exerted from opposing sides. The bodies are put through an identical degree of strain at each end of the wire by the tension force, which is exerted all along entire of the wire's length.
Let the tension in each rope be T₁ & T₂
Also, T₁ = T₂ = T
T₁ Sinθ + T₂ Sinθ = mg
2T Sinθ = mg
2T Sinθ = 14g
T = 14g/2Sinθ
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The resistor in an RC circuit (a circuit where a resistor and a capacitor are connected in series) has a resistance of 145 ohm.
A circuit with a series connection between a resistor and a capacitor.
What is meant by capacitor?An electrostatic field of stored energy can be found in passive electronic components called capacitors. A capacitor is made up of two conducting plates that are separated from one another by a substance known as the dielectric.A capacitor is an electrical component with two terminals that has the ability to store energy in the form of an electric charge. Two electrical cables are used, and they are spaced apart. Vacuum or an insulating substance known as a dielectric can fill the gap between the conductors. To keep the voltage at a specific level, capacitors are also employed. The voltage pulsation can be lessened by using them.
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Which of the following conditions should be met to make a process perfectly reversible?
Check all that apply.
(1) Any mechanical interactions taking place in the process should be frictionless.
(2) Any thermal interactions taking place in the process should occur across infinitesimal temperature or pressure gradients.
(3) The system should not be close to equilibrium.
1) Any mechanical interactions taking place in the process should be frictionless, to make a process perfectly reversible
What is mechanical interactions?
Mechanical interactions are physical forces that are used to affect the behavior of objects and materials. This can include contact forces such as friction, tension, and compression, as well as non-contact forces such as gravity, magnetism, and electric fields
Mechanical interactions can be used to cause objects to move, change shape, or experience a change in energy. These interactions can also be used to create, store, or transfer energy. Mechanical interactions are studied by engineers and scientists in multiple disciplines, and are used in many different applications, including the design of machinery, medical devices, and consumer products.
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state 2 precautionary measures you would take to maintain the efficiency of an accumulator
On gas-loaded accumulators, safety devices like relief valves, burst discs, and temperature fuse plugs are all used as precautionary measures to maintain the efficiency.
What are accumulators?Accumulators are pressurized containers that can hold fluid. When a system needs a boost in power, this stored energy can be used, recharged, and then used again. The right precautions should be taken to keep pressure and temperatures under control because this stored energy can be hazardous.
On accumulators, a number of modest but crucial accessories can be placed to stop the release of this stored energy and guarantee that temperatures stay within their safe operating range.
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A container is filled to a depth of 24.0 cm with water. On top of the water floats a 34.0 cm thick layer of oil with specific gravity 0.900. What is the absolute pressure at the bottom of the container
The Absolute pressure at the bottom of the container filled with water which has a thick layer of oil on the top will be 2735.21 Pa.
Information given as:
Height (h) = 31 cm = 0.31 m
Acceleration due to gravity (g) = [tex]9.8 m/s^{2}[/tex]
Specific gravity of oil = 0.900
So density of oil (ρ)= [tex]0.9X1000 = 900 kg/m^{3}[/tex]
We know that absolute pressure is given by the formula, here
So absolute pressure will be equal to [tex]P_{o} = 1.01 X 10^{5} Pa[/tex]
So absolute pressure of the oil will be 2735.21 Pa
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Within galaxies there are billions of stars. Analyze the Hertzsprung Russell Diagram below and then choose the statements which are true, based on the diagram.
The Hertzsprung-Russell (H-R) Diagram is a graph that plots the luminosity (or absolute brightness) of stars against their surface temperature (or spectral type). It is used to classify stars based on their properties and understand their evolution.
The following statements are true based on the H-R diagram:
Most stars are located on the main sequence, which runs from the upper left to the lower right of the diagram. This represents stars that are burning hydrogen in their cores and are in a state of equilibrium.Stars located in the upper right corner of the diagram are brighter and hotter than those on the main sequence and are known as "giants" or "supergiants". They have exhausted the hydrogen in their cores and are in a later stage of their evolution.Stars located in the lower left corner of the diagram are cooler and less bright than those on the main sequence and are known as "dwarfs". These stars are in the early stages of their evolution and are still burning hydrogen in their cores.Stars located on the horizontal branch are burning helium in their cores, this represents stars that are in a different stage of their evolution.There is a clear relationship between a star's luminosity and its temperature, with hotter stars being brighter than cooler stars.The diagram shows that there is a wide range of luminosities and temperatures among stars, with some being much brighter and hotter than others.It's important to mention that the H-R diagram is a representation of the stars that are observed, and it's also based on the assumption that all stars are similar in their formation and evolution process.
The answer is general since no option is provided and similar question is nowhere to be found.
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The Sun's path, as viewed from the equator, is highest in the sky on _____. A) the spring and fall equinoxes B) the winter solstice. C) the summer solstice D) the day when Earth is closest to the Sun
The correct option is A, the Sun's path, as viewed from the equator, is highest in the sky on the spring and fall equinoxes.
Fall equinox is an astronomical event that marks the transition from summer to autumn in the Northern Hemisphere and from winter to spring in the Southern Hemisphere. On the day of the fall equinox, the sun rises directly in the east and sets directly in the west. This marks the end of the summer season and the beginning of the autumn season. During the fall equinox, all areas of the Earth experience nearly the same amount of daylight and darkness.
The fall equinox occurs in the middle of September in the Northern Hemisphere and in the middle of March in the Southern Hemisphere. It is the first day of autumn and the last day of summer in the Northern Hemisphere and the first day of spring and the last day of winter in the Southern Hemisphere.
The fall equinox marks the return of balance after the summer solstice, during which the days are the longest and the nights are the shortest. During the fall equinox, the day and night are of equal length and the sun is directly over the equator. After the fall equinox, the days become gradually shorter and the nights become gradually longer.
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What are the similarities and differences between static stretching and ballistic stretching?
Explanation:
This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.
udora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack
Eudora spent 0.5 hours from home to library and 1.5 hours from library to school.
Given that,
Average speed from home to library S₁ = 12 km/h
Average speed from library to school S₂ = 76 km/h
Total distance = 120 km
Time = 2 hrs
Let the time spent from home to library be x. So, from library to school will be = 2 - x
S₁ = 12 km/h
Time spent from home to library T₁ = x
S₂ = 76 km/h
Time spent from library to school T₂ = 2 - x
Distance can be calculated as, D₁ = S₁ T₁ = 12 x
D₂ = S₂ T₂ = 76(2 - x) = 152 - 76 x
As, D₁ + D₂ = 120
12 x + 152 - 76 x = 120
-64 x = -32
x = 0.5
So, T₁ = 0.5 hrs
T₂ = 2 - 0.5 = 1.5 hrs
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As a train accelerates away from a station, it reaches a speed of 4.8 m/s in 5.2 s. If the train's acceleration remains constant, what is its speed after an additional 7.0
After another 7.0, its speed is 6.52 m/s. The time it takes a train to accelerate out of a station to 4.8 m/s is 5.2 seconds.
Which speed is it?the rate at which an object's location changes in any direction. Speed is defined as the relationship between a distance and the time it takes to travel that distance. Speed is a scalar quantity because it has no magnitude and only a direction.
The rate at which the velocity of a moving object varies is known as acceleration .To calculate the object's speed at a particular time, we must first calculate the acceleration by dividing the speed by the given time. Here's what we do:
acceleration = 4.8 m/s / 5.2 s = 0.92 m/s^2
To determine the velocity after 7.1 s, we multiply 7.1 s to the acceleration.
speed or velocity = 0.96 x 7.0 = 6.44 m/s
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What is the radius of the event horizon of this 10-Solar-mass black hole, in units of kilometers (km)
The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
How do you calculate the radius of the event horizon?The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:
r = 2GM/c^2
where
r = radius of the event horizon (in meters)
G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)
M = mass of the black hole (in kg)
c = speed of light in a vacuum (2.998 x 10^8 m/s)
For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.
M = 10 x 1.989 x 10^30 kg
Now, we can substitute the values into the formula
r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2
r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2
r = 2.95 x 10^3 m = 2950 kilometers
So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
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