The speed of the earth around the sun is 29.747 km/sec and in meter per second is 29474 m/sec, if the distance between the earth and the sun is 1.5 × 10¹¹ meters.
The gravitation force between the earth and the sun works as the centrifugal force between the earth and the sun, which is required for the circular motion of the earth.
Let the mass of the earth = M₁
Let the mass of the sun = M₂ = 1.99 × 10³ kg
Let the speed of the earth around the sun = v
Distance between the earth and the sun, R = 1.5 × 10¹¹ m
Universal gravitational constant, G = 6.67 × 10⁻¹¹ Nm²/kg²
Centrifugal force = gravitational force
M₁ v²/R = GM₁M₂/R²
v = √(GM₂/R)
v = √(6.67× 10⁻¹¹ × 1.99 × 10³)/(1.5 × 10¹¹))
v = 29474.04 m/sec
or v = 29.474 km/sec
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a baseball bat strikes a ball with an average force of 20000 newtons. if the bat stays in contact with the ball for a distance of 0.0050 meter, what kinetic energy will the ball acquire from the bat?
Kinetic energy will the ball acquire from the bat is 1.0 x 102 J (option a).
Which four forms of friction are there?
The force that prevents one solid item from moving across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
What leads to conflict?
Although friction is assumed to be created by the interactions between the microscopic bumps on surfaces when they rub against each other, scientists are not entirely sure what causes it. It is challenging for the surfaces to slide over one another because the bumps on each surface bend and exert stress on one another.
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a machine-gun is attached to a 120,000 kg railroad car. if the muzzle velocity of the machine-gun is 300 m/s, then how many 0.020 kg bullets would have to be fired to make the railroad car move with a velocity of 1 m/s?
20,000 bullets would have to be fired to make the railroad car move with a velocity of 1 m/s.
What is velocity?The rate and direction of motion are measured by a vector known as velocity.
We need to calculate the total impulse of the bullets and compare it to the force required to accelerate the railroad car to that velocity.
The impulse (change in momentum) of a bullet is equal to its mass times its velocity. So, for a 0.020 kg bullet with a velocity of 300 m/s, the impulse is:
0.020 kg * 300 m/s = 6 Ns
To calculate the force required to accelerate the railroad car, we use the equation:
force = mass * acceleration
Calculate the acceleration required to reach that velocity.
acceleration = (1-0) m/s^2 / 1 s = 1 m/s^2
force = mass * acceleration = 120,000 kg * 1 m/s^2 = 120,000 N
impulse = force * time = 120,000 N * 1 s = 120,000 Ns
To determine how many bullets are needed:
number of bullets = impulse / (mass * velocity) = 120,000 Ns / (0.020 kg * 300 m/s)
number of bullets = 120,000 Ns / 6 Ns = 20,000 bullets
So, 20,000 bullets would have to be fired to make the railroad car move with a velocity of 1 m/s.
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How many meters will the box of fruit moves if it is pushed with 5N of force for three seconds using 5W of power?
Answer:
the distance moved is 3 m
Explanation:
as power = work done/time
and work done is force into parallel distance therefore;
P = F x d/ t
now:
P = 5 W
F = 5 N
t = 3 s
d = X m
hence;
5 = (5 x X)/3
15 = 5X
3 m = X
the distance moved is 3 m
Drew likes to take the long way to school each morning. He walks 3 blocks west and then 3 blocks north to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 310 feet, how many feet will he travel if he goes directly to school
If one block is 310 feet, he will travel 1,315.21 feet if he goes directly to school.
What is foot?The British imperial and American customary systems of measurement both use the foot as a unit of length (standard symbol: ft). One alternate symbol that is frequently used is the prime symbol, ′. Since the International Yard and Pound Agreement of 1959, one foot is precisely equal to 0.3048 metres. One foot equals 12 inches in both customary and imperial units, while one yard equals three feet.
The "foot" has historically been a component of numerous regional systems of units, including the Greek, Roman, Chinese, French, and English systems. It varied in length from nation to nation, city to city, and occasionally trade to trade. Its length was typically between 250 mm and 335 mm, and it was typically, but not always, divided into 12 inches.
Given that:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Then,
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travelled by Drew = √(Total distance in north² + Total distance in west²)
Distance travelled by Drew = √(930² + 930²)
Distance travelled by Drew = √(864,900 + 864,900)
Distance travelled by Drew = √1,729,800
Distance travelled by Drew = 1,315.21 feet
Thus, If one block is 310 feet, he will travel 1,315.21 feet if he goes directly to school.
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Using conservation of energy, find the maximum height hmax to which the object will rise.Express your answer in terms of v and the magnitude of the acceleration of gravity g .
Using conservation of energy, find the maximum height hmax to which the object will rise hmax = (v^2)/(2*g)
What is energy?
Energy is the ability to do work, or the capacity to produce a desired effect. It is the ability to be used or transferred from one form to another. Energy exists in many forms, including thermal, chemical, electrical, mechanical, and electromagnetic.
It is an essential resource for powering the world, enabling modern life and economic development. Energy can be converted from one form to another, and harnessed to do work. Examples include the conversion of sunlight into electrical energy, the conversion of coal into heat energy, and the conversion of wind into mechanical energy.
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after the string is cut and the two carts move apart, the magnitude of which quantity is the same for both carts?
after the string is cut and the two carts move apart, The kinetic energy of the carts.
What is the energy ?
Energy is the ability to do work or cause change. It can take many different forms, including thermal, electrical, chemical, nuclear, and mechanical forms. All matter contains energy, which can be harnessed and used to perform various tasks. Energy is essential to life, allowing us to do work, heat our homes, and power our vehicles. It is also necessary to generate electricity, which powers many of the technologies we use every day. Energy is constantly being converted from one form to another, and can never be created or destroyed. By using energy in an efficient and responsible manner, we can help protect the environment and ensure a sustainable future.
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At what point does the ball have the most energy? Ignore air resistance.
a. Just before it hits the ground.
b. When the ball is halfway to the highest point of its path.
c. When it is first thrown.
d. At the highest point of its path.
e. Everywhere; the energy of the ball is the same at all of these points.
D. At the highest point of its path. at what point does the ball have the most energy.
What is path?
Path is a route or a way between two points. It is usually a line or a sequence of steps that one can take to get from one location to another. Paths can be physical, Path is a sequence of steps or actions that lead to a desired result or outcome. It is a plan or set of instructions that someone can follow to achieve a goal. Paths can be mental, physical, or spiritual in nature, and often involve making decisions and taking risks.
such as a path in a park or a street; they can also be abstract, such as a path of thoughts or a path to success. Paths can also refer to a journey or a route taken to reach a particular destination.
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what is the wavelength of the line corresponding to n=4 in the balmer series?
Expression for the Balmer series to find the wavelength of the spectral line is as follows: [tex]\frac{1}{\pi } = R ( \frac{1}{2^{2} } - \frac{1}{n^{2} } )[/tex]
Substitute [tex]1.097 * 10^{7} m^{-1}[/tex]
for R and 4 for n in the above equation
[tex]\frac{1}{\pi } = (1.097 * 10^{7} m^{-1} ) ( \frac{1}{2^{2} } - \frac{1}{4^{2} } )\\ = 0.20568 * 10^{7} m^{-1} \\\pi = 4.86 * 10^{7} m[/tex]
Balmer series is the series of lines of the atomic hydrogen in the visible and the ultraviolet spectrum. The wavelength of the photon emitted in this series corresponds to the electronic transition at the energy level 4 is in visible range of wavelengths.
How to calculate the wavelength using balmer series?
First, calculate the wavelength using the formula for the Balmer series of the spectral line for different values of n. After that, calculate the smallest wavelength in the Balmer’s series by using the formula for Balmer series. Later, calculate the largest wavelength in the Balmer’s series by using the formula for Balmer series. Later, calculate the smallest value of n, which is the lower limit for wavelength in the visible spectrum by using the formula for Balmer series. Finally, calculate the range for the wavelengths for the corresponding values of m by using the generalized formula for Balmer series.
Therefore, [tex]4.86 * 10^{7} m[/tex] is the answer.
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Question is attached. Show Workings.
1) The force of the object is 2.25 * 10^-11 N
b) The force of the object is 5.63 * 10^-12 N
2) The mass of the object is 72 Kg
c) The acceleration due to gravity is 9.7 m/s^2
What is the gravitational force?We know that the gravitational force does speak of the force that is acting between two masses. It should be known that the gravitational force would depend both on the magnitude of the forces and on the distance apart.
Given that;
F = G m1m2/r^2
F = force on the objects
m1 and m2 = masses of the objects
G = Gravitational constant
r = distance of separation
1) F = 6.6 * 10^-11 * 35 * 35/60^2
F = 8.1 * 10^-8/3600
F = 2.25 * 10^-11 N
b) The force would then be; 1/4 * 2.25 * 10^-11 N =5.63 * 10^-12 N
2) 7 * 10^-9 = 6.6 * 10^-11 * m^2/7^2
m^2 = 49 * 7 * 10^-9 /6.6 * 10^-11
m =√49 * 7 * 10^-9 /6.6 * 10^-11
m = √3.43 * 10^-7/6.6 * 10^-11
m = 72 Kg
3) g = Gme/r^2
g = 6.6 * 10^-11 * 6.0 * 10^24/(6.38 * 10^6)^2
g = 39.6 * 10^ 13/4.1 * 10^13
g = 9.7 m/s^2
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Rank the crystal lattice structures in order of decreasing efficiency of space in the structure?
(a) Face centered cubic
(b) Body centered cubic
(c) Simple cubic
(d) Hexagonal close packing
According to the decreasing efficiency of space in the structure, crystal lattice structures are in the order of Hexagonal close packing, Face centered cubic, Body centered cubic and simple cubic.
A unit cell of crystalline structure can be defined as the simplest repeating unit. All the classification of crystalline structure are based on these unit cells.
In simple cubic, the layers are arranged one above the other, while we examine the basic cubic structure, the atoms are present only on corners of the cube. It has a packing efficiency of 54% .
For body centered cubic, the packaging is more efficient, 68%. The atoms in a layer do not touch each other, but touches 4 atoms from above and 4 from below layers.
For Face centered cubic, packing efficiency is 74%. The second layer is packed in the indentation of the first layer, and third on indentation of second. Here atoms are packed as closely as possible.
For hexagonal close packing layers are packed such that the spheres overlay spheres of the previous layer. It also have a packing efficiency of 74%.
So the decreasing order is Hexagonal close packing > Face centered cubic > body centered cubic > simple cubic.
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Which of the following is the source of energy driving the circulation pattern labeled C in the diagram
Solar radiation is the source of energy driving the circulation pattern.
What impact does solar radiation have on climate?Changes in solar output have been hypothesized to have an impact on our climate, both directly by altering the pace at which the Earth and atmosphere are heated by the sun and indirectly by altering the mechanisms that cause clouds to form.
What elements influence how much solar energy Earth receives?Insolation, or the quantity of solar radiation received on a certain surface area over a particular period of time, is largely influenced by latitude, climate, and weather patterns. In general, locations with dry climates and lower latitudes get more insolation than other places.
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A capacitor consists of two 7.0-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 160 V , then the battery is removed.
1) How much energy is stored in the capacitor?
2) How much work must be done to pull the plates apart to where the distance between them is 2.0 mm?
a) The energy is stored in the capacitor is 2.40825x10⁻⁷J
b) The required work must be done to pull the plates apart to a distance of 2.0 mm is 2.41 x 10⁻⁷J.
What is the principle of a capacitor?When an earthed conductor is brought close to a conductor, its capacitance increases noticeably. This is how a capacitor operates. A capacitor therefore consists of two plates with equal and opposite charges that are spaced apart.
(a) d = diameter = 6.4cm = 0.064m
A = Area of each plate of the capacitor = (0.25) \πd² = (0.25) (3.14)(0.064)² = 0.00322 m²
d = the plates being separated = 1 mm = 1 x 10⁻³ m
The capacitor's capacitance is given as
C = ε₀ A/d
C = (8.85 x 10⁻¹²)(0.00322)/(1 x 10⁻³)
C = 2.85 x 10⁻¹¹ F
V = potential difference = 130 Volts
The capacitor's energy is described as
U = (0.5) CV²
U = (0.5) (2.85 x 10⁻¹¹)(130)²
U = 2.40825 x 10⁻⁷J
b) Q = C V
Q = (2.85 x 10⁻¹¹)(130)
Q = 3.705 x 10⁻⁹ C
d' = new distance = 2 mm = 0.002 m
The capacitor's new capacitance is given as
C' = ε₀A/d'
C' = (8.85 x 10⁻¹²)(0.00322)/(2 x 10⁻³)
C' = 1.42485 x 10⁻¹¹ F
The new capacitor's energy storage capacity is given as
U' = (0.5) Q₂/C'
U' = (0.5) (3.705 x 10⁻⁹)²/(1.42485 x 10⁻¹¹)
U' = 4.82x 10⁻⁷J
The energy stored in the capacitor before and after the plates are pulled apart produces the same amount of work.
W = U' - U
W = (4.82 x 10⁻⁷) - (2.40825 x 10⁻⁷)
W' = 2.41 x 10⁻⁷J.
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TRUE OR FALSE : If car A and car B have the same acceleration, but car B has three times the mass of car A, what must be true about car A and car B
True. If car A and car B have the same acceleration, but car B has three times the mass of car A, car B will require three times the force to achieve the same acceleration as car A. This is because acceleration is directly proportional to the net force acting on an object and inversely proportional to the mass of the object. The equation that relates force, mass, and acceleration is F = ma, where F is the force, m is the mass and a is the acceleration.
Therefore, if car A and car B have the same acceleration, the force required to accelerate car B will be 3 times greater than the force required to accelerate car A due to its three times greater mass.
It's worth noting that the relationship between force, mass, and acceleration is a fundamental concept in physics, and it's described by Newton's second law of motion.
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Part B Now consider the children's linear accelerations Which of the following statements are correct? Check all that apply: View Available Hint(s) The last child in the line has the greatest tangential acceleration The last child in the line has the greatest radial acceleration.
AIl the children have the same tangential acceleration; All the children have the same radial acceleration Submit
The last child in the line has greatest radial acceleration.
Tangential acceleration is a term used to describe how the tangential velocity of a point with a particular radius changes over time. The same linear and tangential accelerations, but in the tangential direction, result in the circular motion. Tangential acceleration is the rate of change in the matter's tangential velocity in a circular path.
We have linear acceleration and angular acceleration are proportional for something in motion. If there is a circular motion, the tangential and radial components will be parallel to one another. We will always accelerate in parallel to one another. The tangential and radio accelerations are connected to the linear acceleration of a point on a spinning object. It will be our decision (b).
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an electric current is produced using a bar magnet and a solenoid. which changes will cause a decrease in the electric current produced? check all that apply.
The correct answers are B) using fewer wire loops in the solenoid, and C) using a stronger magnet moving the solenoid instead of the magnet moving the magnet more slowly.
This is because, when a bar magnet is moved through a solenoid, it produces a changing magnetic field which induces an electric current in the solenoid. The strength of the electric current produced is determined by the number of wire loops in the solenoid and the speed of the magnet moving through the solenoid.
Therefore, decreasing the number of wire loops in the solenoid and increasing the strength of the magnet moving through the solenoid will cause a decrease in the electric current produced.
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an ice-skater begins to spin by pulling her arms in reducing her moment of inertia. as she does this angular velocity increases. how has her angular momentum changed?
Her initial acceleration must rise as a result of a decrease in moment of inertia in order to maintain the same angular momentum. What happening to the wrestler's kinetic energy during this phase. Increased kinetic energy.
Which energy do you indicate by kinetic?Describe kinetic energy. An item accumulates kinetic energy when work, which involves the transferring of energy, be done on it by exerting a net force.
How can one locate kinetic energy?The relationship between kinetic energy and an object's mass and unit of its velocity is direct: K.E. = 0.5 m v2. The kinetic energy is measured in kilograms-meters squared per real - time data if the mass is measured in kilograms and the velocity is measured in meters per second.
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a ball is released from rest from the twentieth of a building. after , the ball has fallen one such that it is directly outside the nineteenth- window. the are evenly spaced. assume air resistance is negligible. what is the number of the ball would fall in after it is released from the twentieth ?
A ball released from rest from the twentieth floor of a building, after 3 s falls 9 floors, considering they are evenly spaced.
A ball is released from rest from the twentieth floor of a building. It experiences a uniformly accelerated rectilinear motion. We can find the displacement after 1 s using the following kinematic equation.
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the average daytime temperatures on earth and jupiter are 72o f and 313 k, respectively. a. calculate the difference in temperature, in oc, between these two planets. b. if you are told that the difference between day and night in los angeles in winter is 32of, how would you express this difference in oc?
(a) The difference in temperature between these two planets is 17.6 °C.
(b) The expression of the temperature difference in Celsius is 17.8 °C.
The result is obtained by the formula for temperature conversion.
How to convert Fahrenheit and Kelvin to Celsius?x °F = [5/9 (x - 32)] °C
x K = (x - 273.15) °C
(a) The average daytime temperature on Earth and Jupiter are 72°F and 313 K. Find the difference in temperature in Celsius!
We convert the two temperatures to Celsius.
72 °F = [5/9 (72 - 32)] °C
72 °F = [5/9 (40)] °C
72 °F = 22.22 °C
313 K = (313 - 273.15) °C
313 K = 39.85 °C
The temperature difference on Earth and Jupiter is
39.85 °C - 22.22 °C = 17,63 ≈ 17.6 °C
(b) If the temperature difference between day and night in Los Angeles is winter is 32 °F, find the expression in °C!
The temperature range of Celsius is 100 degrees and the temperature range of Fahrenheit is 180. If Δx in Fahrenheit is 32, Δx in Celsius is
x/32 = 100/180
x = (32×100)/180
x = 320/18
x = 17.8 °C
Hence, the temperature difference between the two planets is 17.6 °C and the between day and night in Los Angeles is 17.8 °C.
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The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth.
(a) Compute the acceleration due to gravity on the surface of Venus from these data. (Express your answer in terms of the acceleration due to gravity on the Earth.)
__ gE
(b) If a rock weighs 29.4 N on earth, what would it weigh at the surface of Venus?
___ N
On Venus's surface, the acceleration brought on by gravity is 0.90495(gE). The acceleration brought on by a planet's gravity.
What makes gravity a force?However, gravity is a force in a more general sense since it symbolizes the interaction that takes place when two masses are close to one another. Gravitational effects are fundamentally caused by the stretching of spacetime and the motion of things through the stretched spacetime. The effect, nevertheless, seems to be the result of using force.
What three types of gravity are there?Gravity only comes in one variety. In nature, there is only one form of gravity. According to their masses and the separation between their centers, there is only one kind of gravitational force that draws the two bodies together. Gravity is the weakest force known to exist in nature and is a form of central force.
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One airplane carries a charge of -5.0 C and another airplane carries a charge of 1.0 C. The
magnitude of the electric force between them is 6.0 × 10³ N.
Calculate the distance between these two charged objects.
The distance between two airplanes that carry charges will be by coulombs law 28.83 meters.
What is Coulomb's law?An electric force is produced when two charged particles are present. The forces will be greater if you have larger charges. These two concepts, along with the knowledge that charges can attract and repel one another, can help you comprehend Coulomb's Law. The equation calculates the electrical forces acting on two objects.
What are the three electrical charge laws?Three guidelines to keep in mind when dealing with charges: Positive charges push away one another. Repulsion between negative charges. Charges that are in opposition to one another attract.
we know that from coulombs law;
F=(q1*q2)/r^2
q1= -5.0 c
q2=1.0 c
F= 6*10^3
from the above formula,
r^2=(q1*q2)/F
r= 28.83 meters
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a gymnast is performing a floor routine. in a tumbling run she spins through the air, increasing her angular velocity from 3.00 to 5.00 rev/s while rotating through one-half of a revolution. how much time does this maneuver take?
The time this maneuver takes 1/10 seconds for the gymnast to complete this maneuver.
What is maneuver?
Maneuver is a military term used to describe a movement or series of movements that are employed to gain an advantage or tactical advantage over an opponent. It is often used to describe a series of tactical moves that are used in a battle or war. Maneuvering can involve a number of different strategies, including outflanking, encirclement, diversionary tactics, and other forms of strategic movement. Maneuvering can also include tactical decisions such as selecting a site or location for a battle to take place or selecting a group of troops to attack or defend a particular area.
The time this maneuver takes can be determined using the equation:
Time = (Angular Displacement) / (Angular Velocity)
In this case, the angular displacement is one-half of a revolution, or π radians. The angular velocity is 5.00 rev/s, which is equivalent to 5.00 x 2π = 10π rad/s.
Time = (π) / (10π)
Time = 1/10 seconds
Therefore, it takes 1/10 seconds for the gymnast to complete this maneuver.
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Part B
Rank these throws based on the amount of time it takes the ball to hit the ground.
Rank from largest to smallest. To rank items as equivalent, overlap them.
10 m/s 60 degree angle
15 m/s 45 degree angle
20 m/ s 0 degree
10 m/s 90 degree angle
15 m/s 30 degree angle
15 m/s 60 degree angle
The rank of the given throws based on the amount of time it takes the ball to hit the ground will be - 1) 10 m/s 90-degree angle 2) 15 m/s 60-degree angle 3) 20 m/s 0 degrees 4) 15 m/s 30-degree angle 5) 15 m/s 45-degree angle 6) 10 m/s 60-degree angle
What happens to a ball when it is thrown?As you throw a ball up in the air, its velocity rises into the air, but actually, it is decreasing. On its way up, its speed lowers, until it stops at the very top of the ball's motion. Its acceleration is -9.8 m/s^2 at the top.
What law of motion is followed by throwing the ball?When a ball is thrown, the resulting motion of the ball is determined by Newton's laws of motion. From Newton's first law, the moving ball will stay in motion in a straight line unless external forces act on it.
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What is the instantaneous energy density up (t) in the magnetic field of the wave? Give your answer in terms of some or all of the variables in B = Bo sin (ka - wt). ► View Available Hint(s) V AZO ? ub (t) =
The energy density in the magnetic field of the wave is marked down as
1/2 (Bo sin (ka-wt))^2/μo.
What does the term "energy density" mean?The quantity of energy that can be held in a specific system, substance, or area of space is known as its energy density. Energy per volume or mass can be used to measure energy density. A system or material has more energy stored in it when its energy density is higher.
Ub => energy density in the magnetic field => 1/2 B^2/μo
μo => permeability of free space
Ub => 1/2 (Bo sin (ka-wt))^2/μo
Are there magnetic fields in waves?When an electric field engages with a magnetic field, electromagnetic waves arise. Thus, they are referred to as "electromagnetic" waves. An electromagnetic wave's electric and magnetic fields are perpendicular to one another (at right angles).
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Can you Help please!!
Answer:
If the lamps are in parallel then 6.0 V is the voltage accross each lamp:
R = V / I Ohm's Law
R1 = 6 V / .1 A = 60 ohms
R2 = 6 V / .2 A = 30 ohms
1 / R = 1 / R1 + 1 / R2 resistance of parallel resistors
R = R1 R2 / (R1 + R2) = 30 * 60 / (30 + 60) = 1800 / 90 = 20 ohms
consider a wave that you come across in everyday life. what type (classification) is the wave and how is it transmitted?
Common examples of waves include light, sound, and ocean waves. Since sound and water waves are mechanical waves, they must travel through a medium.
What are the different types of waves?There are three categories based on how energy is directed and how particles are moving: wave mechanics electronic waves. atomic waves.
For mechanical waves, longitudinal waves and transverse waves are the two main types of wave motion. The animations that follow demonstrate both varieties of waves and highlight how the movement of the wave differs from that of the particles in the medium it travels through.
Transverse ocean waves are used for many leisure activities, including swimming and surfing. They can also be used to produce renewable electricity using the motion of the waves.
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A student is given a sample of gas that is at room temperature and is sealed in a container by a movable piston. Which of the following adjustments would allow the student to increase the pressure of the gas? SELECT TWO ANSWERS O Put the container in a tank of hot water and hold the piston in place. O Put the container in a tank of room temperature water and pull the piston outward. O Put the container in a tank of cold water and hold the piston in place. O Put the container in a tank of room temperature water and push the piston inward.
The adjustments that would allow the student to increase the pressure of the gas are putting the container in a tank of room-temperature water and pushing the piston inward and putting the container in a tank of hot water and hold the piston in place.
As the gas is sealed in a container by a movable piston, the pressure of the gas can be increased by decreasing the volume of the container. This can be done by pushing the piston inward, which will decrease the volume of the container and thus increase the pressure of the gas.
Putting the container in a tank of hot water will increase the temperature of the gas and thus increase the pressure according to Gay-Lussac's law, which states that the pressure of a gas is directly proportional to its temperature.
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a) a yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter 0.075 m, joined by a (concentric) thin solid cylindrical hub of mass 0.0050 kg and diameter 0.013 m. use conservation of energy to calculate the linear speed of the yo-yo just before it reaches the end of its 1.0-m-long string, if it is released from rest. (b) what fraction of its kinetic energy is rotational?
(a) The linear speed of the yo-yo just before it reaches the end of its 1.0m-long string can be calculated using conservation of energy. The initial potential energy of the yo-yo is equal to its kinetic energy just before the end of the string:PE = KE ,mgh = 1/2 mv^2,where m is the mass of the yo-yo, g is the acceleration due to gravity, h is the height of the yo-yo above the ground, and v is the linear speed of the yo-yo.Substituting in the given values, we have:(0.050 + 0.0050) * 9.8 * 1.0 = 0.5 * (0.050 + 0.0050) * v^2,Solving for v, we find that the linear speed of the yo-yo just before it reaches the end of its 1.0-m-long string is:v = 2.44 m/s(b) The fraction of kinetic energy that is rotational can be calculated using the following equation:KE_rotational / KE_total = I_
What is the kinetic ?
The energy that an object in motion possesses is known as kinetic energy. It is the energy of movement, which is released when the object stops moving. This energy comes from the object's mass and velocity. Kinetic energy can be found in an object's rotation, vibration, or translation. Kinetic energy is a form of potential energy that can be converted into other forms of energy, such as thermal, electrical, or chemical energy. Kinetic energy is useful in many everyday situations, such as the motion of a car or the motion of a roller coaster. It can also be used to generate electricity, power mechanical devices, and even propel rockets into space.
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a car is accelerating from 55 km/h to 70 km/h as it rounds a curve of constant radius. draw the vectors starting at the black dot. the location and orientation of the vectors will be graded. the length of the vectors will not be graded.
The acceleration is directed radially toward the center of the circle.
The centripetal acceleration a(centripetal) has a magnitude equal to the square of the body's speed(v) along the wind divided by the distance(r) from the center of the circle to the moving body; that is,
a(centripetal) = v ²/r.
The tangential acceleration formula is a(tangential) = r α, where(α) is the angular acceleration, and(r) is the compass of the circle. It's derived from the fact that bow length is the compass of the circle multiplied by the angle in radians.
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approximately where does the particle achieve its greatest positive acceleration on the interval [0,b]
The greatest positive acceleration occurs at the midpoint of the interval, when the particle is changing velocity most rapidly.
What is velocity?Velocity is a measure of the rate of change of an object's position over a period of time. It is a vector quantity, which means it has both magnitude (or size) and direction. Velocity is usually expressed in terms of distance traveled per unit of time, such as meters per second (m/s). Velocity can be determined by dividing the distance traveled by the time taken. For example, if an object travels 20 meters in 5 seconds, its velocity would be 4 m/s. Velocity can also be calculated by taking the derivative of the object's position with respect to time.
The particle will achieve its greatest positive acceleration at the midpoint of the interval, at t = b/2.
This is because the acceleration is greatest when the velocity is changing most rapidly.
At the beginning of the interval, the particle has zero velocity, so it has no acceleration.
At the end of the interval, the particle has reached its maximum velocity, and the rate of change of velocity is zero, so it has no acceleration. Therefore, the greatest positive acceleration occurs at the midpoint of the interval, when the particle is changing velocity most rapidly.
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true or false: it is acceptable to increase the speed of your vehicle over the legal speed limit to merge onto a highway
False, as going faster than the posted speed limit in order to merge onto a highway is not permissible.
When merging into the motorway, drive at or near the speed of the other vehicles. It's fine if you move a bit slower, but the goal is to prevent disturbing traffic flow. Use your time on the ramp or in the merging lane to gain speed until you can smoothly merge into traffic.
When entering the on ramp, a vehicle must strive to accelerate in order to safely merge into the highway. While accelerating, the motorist should engage their turn signal so that oncoming traffic may notice their intentions. This may give a car on the highway enough time to move lanes to let you pass.
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