a cart is moving horizontally with a constant acceleration. inside the cart there is a steel ball suspended by two cords a and b. if the tension in a is twice as that in b, what is the acceleration of the cart?
Answers
The acceleration of a cart with a steel ball suspended by two cords are 1/3√3 g.
Please refer to the attached picture below.
From the picture, we know that:
m = steel ball m
Θ = 60°
TA = tension cord A
TB = tension cord B
TA = 2TB
a = cart acceleration
First, we need to draw and define every forces working on the system. Note that the ball is in its static position on its y-axis and only moves on the x-axis.
We will focus on the y-axis first. Since there is no movement on the y-axis, we will use Newton's First Law, where:
∑F = 0
TAy + TBy - m.g = 0
TAy + TBy = m.g
TA sin Θ + TB sin Θ = m.g
2TB sin Θ + TB sin Θ = m.g
3 TB sinΘ = m.g
3 TB sin 60° = m.g
3TB (√3/2) = m.g
TB = 2m.g/3√3 ... (i)
Next, we will focus on the x-axis. Since there is an acceleration on the x-axis, hence we will use Newton's Second Law where:
∑F = m.a
TAx - TBx = m.a
TA cos Θ - TB cosΘ = m.a
2TB cosΘ - TB cosΘ = m.a
TB cosΘ = m.a
2m.g/3√3 (cos 60°) = m.a
2m.g/3√3 (1/2) = m.a
a = 1/3√3 g
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Related Questions
FILL IN THE BLANK. a receptacle below a 4-way switch in the corner of a living room is required because the code requires that a receptacle be installed in any wall space ____ in. or more in width.
Answers
As per NEC, a receptacle must be installed in any wall space that is 2 feet or more in width.
This requirement for receptacle is to ensure that there is always a convenient and accessible location to plug in electrical devices, reducing the risk of using extension cords or adapters, which can pose a fire hazard.
In a living room, this means that if the wall space in the corner is 2 feet or more in width, a receptacle must be installed below the 4-way switch. This receptacle should be placed at a convenient height and within reach of any furniture or equipment that may be located in that area of the room.
It is important to note that the NEC requirements are minimum standards and that many local building codes may have more stringent requirements for the placement and number of receptacles. For example, some codes may require additional receptacles in living rooms to accommodate larger numbers of electrical devices.
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what is the heat change in kj associated with 37.19 g of liquid water at 5.00 ° c changing to solid water at -5.00 °c?
Answers
The heat change associated with 37.19 g of liquid water at 5.00 °C changing to solid water at -5.00 °C is approximately 12.4007 kJ.
The heat change associated with a phase change can be calculated using the heat of fusion, which is the amount of heat required to change a given mass of a substance from a solid to a liquid, or vice versa. The heat of fusion for water is approximately 333 J/g.
The heat change associated with 37.19 g of liquid water at 5.00 °C changing to solid water at -5.00 °C can be calculated as:
q = m * ΔHfusion
where m is the mass of the water and ΔHfusion is the heat of fusion. In this case, m = 37.19 g and ΔHfusion = 333 J/g, so:
q = 37.19 g * 333 J/g = 12400.07 J
To convert the heat change from joules to kilojoules, divide by 1000:
q = 12400.07 J / 1000 = 12.4007 kJ
So the heat change associated with 37.19 g of liquid water at 5.00 °C changing to solid water at -5.00 °C is approximately 12.4007 kJ.
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planetary winds and currents move in the same direction.
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Planetary winds and currents have a significant impact on the Earth's climate and weather patterns. They are influenced by a variety of factors such as solar radiation, the rotation of the Earth, and temperature gradients.
Planetary winds and currents move in the same direction, assisting in the transport of heat and moisture around the world. For example, trade winds move from subtropical high-pressure zones to equatorial low-pressure zones, whereas prevailing westerlies move from west to east. Warm currents flow from the equator to the poles, and cold currents flow from the poles to the equator, as do ocean currents. The direction and strength of planetary winds and currents influence climate and weather patterns in various parts of the world.
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suppose scientists discover a new mini planet just beyond earth's orbit that takes 1.05 years to orbit the sun. how long in years would it take this mini planet to move once all the way around our sky?
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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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How many dots should be shown in the Lewis dot diagram?
Answers
The amount of dots corresponds to the atom's number of valence electrons. With no more than two dots on a side, these dots are positioned above, below, and to the right and left of the symbol.
What are the Lewis dot structure's three rules?Step 1: Finding the total amount of valence electrons is the first step. Step 2: Outline the molecule's skeletal structure. Step 3: Form each bond in the skeletal structure using two valence electrons.
How many dots should be displayed in the carbon Lewis dot diagram?Four bonds are created by the four valence electrons that make up carbon. As a result, carbon has four dots surrounding it.
A Lewis dot structure: what is it?Lewis structures are diagrams that show the valence electrons of atoms within a molecule. They are often referred to as Lewis dot structures or electron dot structures. The valence electrons of atoms and molecules, whether they reside as lone pairs or within bonds, can be seen using these Lewis symbols and structures.
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all activities begin in which energy pathway?
Answers
Answer: Phosphagen Pathway
Explanation:
is the first energy source called upon at the beginning of any exercise program or in burst movements that are too quick for other systems to be called into action
The All activities in the human body begin with the energy pathway known as cellular respiration.
Cellular respiration is the process by which cells convert the energy stored in food molecules, such as glucose, into a form that can be used by the body. This process takes place in the mitochondria, the powerhouses of the cell. There are two main stages of cellular respiration: glycolysis and the citric acid cycle.
Glycolysis is the breakdown of glucose into two pyruvate molecules and the generation of a small amount of ATP. This stage takes place in the cytoplasm and does not require oxygen.
The citric acid cycle, also known as the Krebs cycle or the tricarboxylic acid cycle, takes place in the mitochondria and generates a large amount of ATP. During this cycle, the pyruvate molecules produced in glycolysis are converted into acetyl-CoA, which enters the citric acid cycle. The citric acid cycle produces high-energy electrons, which are used to generate ATP through oxidative phosphorylation.
The final stage of cellular respiration is the electron transport chain, which takes place in the inner membrane of the mitochondria. In this stage, the high-energy electrons produced in the citric acid cycle are transferred along a series of proteins, generating a proton gradient that drives the production of ATP.
In summary, cellular respiration is a complex and essential process that allows cells to generate the energy needed for all their activities, from muscle contractions to brain function.
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As well as oxygen levels and rainfall, what other non-living indicator can give a good indication of changes in the environment?.
Answers
As well as oxygen levels and rainfall, temperature as
non-living indicator also can give a good indication of changes in the environment.
Change in natural environmentChanges in the natural environment can occur due to natural factors and human factors. Floods, hot lava, volcanic eruptions, earthquakes and tsunamis are examples of changes in the natural environment due to natural factors.
While the cause of changes in the natural environment due to human factors that can cause changes in the natural environment.
For example, the use of technology in managing nature, excessive use of the natural environment, disposal of waste into the natural environment and so on.
When the use of technology is not considered properly it can result in damage. Changes that occur in the natural environment can even cause the people who live in the area to be forced to leave their homes.
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Which one of the following statements about rate constant k is false?A) k is dependent on concentration of the reactants.B) k increases with increasing temperature.C) k decreases with increasing activation energy.D) k can be increased by adding a catalyst.E) k is directly proportional to the rate of a reaction.
Answers
C) k decreases with increasing activation energy.
C) k decreases with increasing activation energy
A) Reactant concentration affects k: As the concentration of the reactants rises, the frequency of the reactant molecules colliding likewise rises, increasing the pace of the reaction and, consequently, k.
B) As temperature rises, the kinetic energy of the reactant molecules increases. This leads in more frequent and energetic collisions, which raises the rate of reaction and increases k.
D) The addition of a catalyst can raise the value of k because it speeds up the rate of reaction by offering a different reaction pathway with a lower activation energy.
E) The unit k measures the rate of a reaction and is directly proportional to it.
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A box of mass M = 10 Kg rests on a 35° inclined plane with the horizontal. A string is used to keep the box in equilibrium. The string makes an angle of 25 ° with the inclined plane. The coefficient of friction between the box and the inclined plane is 0.3.
Answers
The tension will be 52.58 N.
The angle of incline is 25°. So the Tension will be balanced by Vertical component of normal
T= N sin Ф
T= N sin 25°
The normal reaction is balanced by the vertically downward component of weight(mg). The corresponding angle on the block will be 35°
N = Mg sin 35°
T= M g sin 35° sin 25°
T= 10 9.8 sin 35° sin 25°
T= 52.58 N
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when you pull the plunger back you are storing what kind of energy
Answers
when you pull the plunger back we are storing the elastic potential energy .
When an object is lifted, work is done on it in defiance of gravity. This labor is transformed into gravitational potential energy, a type of potential energy.
When a bow and arrow are pulled out of balance by their string, the elastic potential energy in the bow is transformed into kinetic energy when the string is let go.
The energy that is held in an object as a result of its position in relation to a zero position is known as potential energy, to put it simply. If an object is placed at a height above (or below) the zero height, it has gravitational potential energy.
Potential energy is the energy that is stored in any object or system as a result of its position or component arrangement.
The environment outside of the object or system, such as air or height, has no impact on it. In contrast, kinetic energy refers to the energy of moving particles inside a system or an item.
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After the switch has been closed for a very long time, it is then opened. What is Q(topen), the charge on the capacitor at a time topen = 635 μs after the switch was opened?
Answers
The open circuit charge, Q, is the charge on the capacitor at a time t open = 635 s after the switch was opened (t open).
The charge on the capacitor at a time t open = 635 μs after the switch was opened, is known as the open circuit charge, Q(t open). This charge can be calculated using the equation Q(t open) = Q(t close)e^(-RC t open), where Q(t close) is the charge on the capacitor at the time the switch was closed, R is the circuit resistance, and C is the capacitance. Substituting in the given values gives Q(t open) = Q(t close)e^(-RC635 μs), which is the charge on the capacitor 635 μs after the switch was opened.
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What people sometimes call "moonlight" is actually sunlight reflecting off the moon's surface. The moon itself doesn't give off any light at all. But the moon can sometimes look blue, orange or even red depending on the particles (like dust or pollution) in the atmosphere and the moon's location in the sky.
It takes approximately one month for the moon to travel around the Earth. Because of the moon's movement around the Earth and the reflected light from the sun, we see different portions of the moon's lit half at different times.
A month of lunar phases
While out camping one spring night, you think the moon looks orange. What is one possible explanation?
answer choices
O The moon is in its orange phase.
O The sun is orange, and the moon is reflecting its reddish light.
O The moon itself is giving off an orange light.
O The dust in the atmosphere makes the moon appear orange.
Answers
While out camping one spring night, you think the moon appears to be orange. The one possible explanation is D: "the dust in the atmosphere makes the moon appear orange".
The reason the moon appears orange during a camping trip is because of dust in the atmosphere. The moon reflects sunlight, and the light from the sun that reaches the moon is white. However, the light from the moon that reaches the observer on Earth can change color depending on the particles in the Earth's atmosphere.
Dust, smoke, and pollution in the air can scatter the light in different directions, causing the light to appear orange. The color of the moon is not due to the moon itself giving off light (as it doesn't emit light), or the sun being orange, or a special "orange phase" of the moon. The color of the moon can also sometimes appear red or yellow, and this too is due to the particles in the atmosphere scattering light in different ways.
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A volleyball player spikes a volleyball over the net. The mass of the volleyball is 0.3 kg. The ball accelerates at 800 m/s2. What is the net force that accelerates the ball?
Answers
The magnitude of net force which is required to accelerate the ball is 240 Newtons.
What is the net force?The net force is the vector sum of all the forces which are acting on a particle or an object. The net force is a single force which replaces the effect of the original forces which are acting on the particle's motion.
F = m × a
where, F = net force,
m = mass of the object,
a = acceleration of the object
F = 0.3 × 800
F = 240N
Therefore, the net force which is required to accelerate the ball is 240 Newtons.
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stand next to a wall that travels at 30 km/s k m / s relative to the sun. with your feet on the ground, you also travel at the same 30 km/s k m / s . do you maintain this speed when your feet leave the ground? what concept supports your answer? stand next to a wall that travels at 30 relative to the sun. with your feet on the ground, you also travel at the same 30 . do you maintain this speed when your feet leave the ground? what concept supports your answer? when you jump, your velocity relative to the sun goes to zero because the forces on you are in equilibrium. when you jump, your velocity relative to the sun drops to zero due to inertia. when you jump, your velocity relative to the sun changes to -30 km/s k m / s so that your velocity relative to the wall is zero, because the forces on you are in equilibrium. when you jump, you continue to move at 30 km/s k m / s due to your inertia.
Answers
When you jump, your velocity relative to the sun goes to zero because the forces on you are in equilibrium.
define equilibrium ?
Equilibrium refers to a state in which the forces acting on an object are balanced and there is no net force acting on it. This means that the object is either at rest or moving at a constant velocity, and its motion will not change unless acted upon by an external force. In other words, in a state of equilibrium, the sum of all the forces acting on an object is equal to zero. This concept is a fundamental principle in physics, and it is related to the laws of motion and the conservation of energy.
When you jump, your velocity relative to the sun goes to zero because the forces on you are in equilibrium. This is due to the concept of inertia, which states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity, unless acted upon by an external force. When you jump, the force of gravity acting on you causes you to change direction, but your speed relative to the sun remains constant at 30 km/s. However, since your velocity relative to the wall is now zero, you are no longer moving at the same speed as the wall.
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a ball is thrown straight up from the ground level, with an initial velocity of 9.8 m/s. how high is the ball thrown? assume the acceleration due to gravity is 9.8 m/s2.
Answers
The ball is thrown up to a height of 4.9 high. The result is obtained by using the equation in uniformly accelerated straight motion.
Uniformly Accelerated Straight MotionThe equations apply in uniformly accelerated straight motion in vertical dimension are
v₁ = v₀ + gt
v₁² = v₀² + 2gh
h = v₀t + ½ gt²
Where
v₀ = initial velocityv₁ = final velocitya = accelerationt = timex = distanceA ball is thrown straight up from the ground level.
v₁ = 9.8 m/sg = 9.8 m/s²Find the height of the ball thrown!
It means that we find for the highest point of the ball can reach. That time the velocity of the ball is 0.
Use the second equation above to find the height of the ball thrown!
v₁² = v₀² - 2gh
0 = 9.8² - 2(9.8)h
96.04 = 19.6h
h = 4.9 m
Hence, the highest point of the ball thrown is 4.9 m.
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Electrical energy can be delivered as a direct current or alternating current. Identify a common application of energy delivered as direct current and a common application of energy delivered as alternating current.
Answers
AC current is generally used to power homes and businesses while DC current is typical of batteries that power flashlights and other home appliances.
What is the main difference between Alternating and Direct current?In direct current, the voltage is always constant, and the electricity flows in a certain direction. In alternating current, the voltage periodically changes from positive to negative and from negative to positive, and the direction of the current also periodically changes accordingly.Given is that electrical energy can be delivered as a direct current or alternating current.
AC current is generally used to power homes and businesses, and is also present when audio and radio signals are carried on electrical wires. DC current is typical of batteries that power flashlights and other home appliances and is also used in some industrial applications
Therefore, AC current is generally used to power homes and businesses while DC current is typical of batteries that power flashlights and other home appliances.
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seafloor topography can be mapped by satellite sensors that use: group of answer choices electromagnetic waves that pass through ocean water and bounce back to the satellite from the seafloor. extremely sensitive cameras that sense electromagnetic radiation being emitted by the seafloor. sound waves that pass through ocean water and bounce back to the satellite from the seafloor. electromagnetic waves that bounce back to the satellite from the sea surface.
Answers
Answer:wet wet
Explanation:
At a certain temperature and preure, the peed of ound in helium i 992 meter per econd, and the peed of ound in air i 334 meter per econd. A ound with a wavelength of 4. 98 meter travel in helium and pae into air. What are the wavelength and frequency of the ound after it enter the air?
Answers
After the sound wave enters air, its wavelength is 1.68 m and its frequency is 199 Hz.
The wavelength and frequency of a sound wave are related by the equation:
v = fλ
Where,
v = the speed of sound
f = the frequency
λ = the wavelength.
In helium, the speed of sound is 992 m/s and the wavelength of the sound wave is 4.98 m. The frequency of the sound wave in helium can be calculated as:
f = v / λ = 992 m/s / 4.98 m = 199 Hz
When the sound wave passes from helium into air, the speed of sound decreases to 334 m/s. Since the frequency is constant for a given wave, the wavelength must change to compensate for the decrease in speed:
λ = v / f = 334 m/s / 199 Hz = 1.68 m
So, after the sound wave enters air, its wavelength is 1.68 m and its frequency is 199 Hz.
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(10 points) temperatures on mercury: mercury has a semi-major axis length of 0.387 au, an eccentricity of 0.2056, and an albedo of 0.068. a day on mercury is 4223 hrs. what is the expected equilibrium blackbody temperature in k of mercury at both perihelion and aphelion?
Answers
The expected equilibrium blackbody temperature of Mercury at perihelion is 442 K and at aphelion is 389 K.
What is meant by equilibrium blackbody?
A black body in thermodynamic equilibrium is an idealized physical body that absorbs all electromagnetic radiation that falls on it, regardless of frequency or angle of incidence. It is a theoretical construct that perfectly emits electromagnetic radiation at a characteristic temperature, which is defined by the energy balance between the energy being absorbed and the energy being emitted.
The expected equilibrium blackbody temperature of Mercury at perihelion and aphelion can be calculated using the equation:
[tex]T = ( (1 - A) / (1 - e^2)^1/4 \times (L_{sun} / (4 \times \pi \times d^2))^1/4[/tex]
where A is the albedo, e is the eccentricity, L_sun is the solar constant, and d is the semi-major axis length.
At perihelion, d = 0.387 * (1 - 0.2056) = 0.3068 au
[tex]T_{peri }[/tex]= [tex]((1 - 0.068) / (1 - 0.2056^2)^1/4 \times (1361 / (4 \times /pi \times 0.3068^2)))^1/4 = 442 K[/tex]
At aphelion, d = 0.387 * (1 + 0.2056) = 0.4684 au
[tex]T_{ap} = ((1 - 0.068) / (1 - 0.2056^2)^1/4 \times (1361 / (4 \times \pi \times 0.4684^2)))^1/4 = 389 K[/tex]
So the expected equilibrium blackbody temperature of Mercury at perihelion is 442 K and at aphelion is 389 K.
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Worksheet Level 2:
I need to find this worksheet it’s about the Pythagorean theorem
Answers
In a Pythagoras Theorem worksheet, students are given triangles with several orientations and asked to determine which side is the longest.
What is Pythagorean theorem answers?Any right triangle has the property that the sum of the squares of its legs equals the square of its hypotenuse, or a2 + b2 = c2. The Pythagorean Theorem describes this connection. The result of the theorem is expressed as (leg)2 + (leg)2 = (hypotenuse)2.Pythagoras, a Greek philosopher who was born around 570 BC, is honoured in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated several times using a variety of techniques.Pythagoras was a Greek philosopher who contributed significantly to the fields of mathematics, astronomy, and music theory. Although the Babylonians were aware of the Pythagoras' theorem a thousand years before, he may have been the first to demonstrate it.To learn more about Pythagoras refer to:
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complete the following statement: the term net force most accurately describes
Answers
The overall force acting on an object, taking into account all the individual forces that are affecting it. The net force is equal to the sum of all the forces acting on an object, and it determines the direction and magnitude of the object's motion.
The net force is also known as the resulting force and it is calculated by subtracting the forces that are in the opposite direction from the forces that are acting in the same direction. The net force is an important concept in physics and is used to describe the interactions between objects and the physical laws that govern motion. force of anything is the measure of the body to create a pressure to pull or push something from its position and we can do it. The net force is equal to the sum of all the forces acting on an object
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a uniformly charged thin ring has radius 13.5 cm and total charge 21.5 nc . an electron is placed on the ring's axis a distance 27.0 cm from the center of the ring and is constrained to stay on the axis of the ring. the electron is then released from rest. you may want to review (page) . for related problemsolving tips and strategies, you may want to view a video tutor solution of a ring of charge. part a find the speed of the electron when it reaches the center of the ring.
Answers
The speed of the electron when it reaches the center of the ring (a uniformly charged thin ring has radius 13.5 cm and total charge 21.5 nc . an electron is placed on the ring's axis a distance 27.0 cm from the center of the ring and is constrained to stay on the axis of the ring. the electron is then released from rest. you may want to review) is 1.73 x 10⁷ m/s.
The electron will be drawn to the center of the ring, where there is no net force. The electron, however, has some kinetic energy and, due to inertia, crosses the center, but on the other side, it is further attracted to the center of the ring.
Potential V₀ = kQ/(r² + z²) [tex]^{1/2}[/tex]
Potential at center of ring:
V = kQ/r
Where:
r = radius = 13.5 cm = 0.135 m
Q = the charge = 23.0 nC = 2.3 x 10⁻⁸C
z = the distance = 27.0 cm = 0.27 m.
Then by theorem of change of kinetic energy:
mv²/2 = e(V - V₀)
Where:
m = mass of electron
e = charge of electron
Hence,
v = [2e(V - V₀)/m][tex]^{1/2}[/tex]
V = (9 x 10⁹) (2.3 x 10⁻⁸)/0.315
= 657.14 V
V₀ = (9 x 10⁹) (2.3 x 10⁻⁸)/(0.315² + 0.27²)[tex]^{1/2}[/tex]
= 446.38 v
So, the speed of the electron when it reaches the center of the ring:
v = [2 x (1.6 x 10¹⁹) (657.14 - 446.38)/(9.11 x 10³¹}[tex]^{1/2}[/tex]
= 1.73 x 10⁷ m/s
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Explain the process by which charge is transferred and provide evidence
Answers
The process of transferring charge from a charged body to earth is called earthing and the process involves the transfer of electrons that occurs when an electron relocates from an atom or molecule to a different such entity.
What is a Charge?This is referred to as the property of subatomic particles that causes it to experience a force when placed in an electric and magnetic field.
Earthing is a method and it is a process is carried out by connecting the neutral or non-current carrying part of the equipment to the ground or other substances and the evidence involves touching of a charged particle to a conductive material which leads to the charges being transferred from the charged material to the conductor such that particles with the same charge will repel.
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a car accelerates at 1.76 m/s2 along a straight road. it passes two marks that are 26 m apart at times 2.5 s and 4.2 s. what was the car's initial velocity?
Answers
The car's initial velocity is 17.12 m/s.
What is initial and final velocity?When gravitational force is first exerted on an object, its initial velocity describes how quickly it moves. The final velocity, on the other hand, is a vector quantity that gauges the speed and direction of a moving object after it has experienced its maximum acceleration.
[tex]x_{5}[/tex] - [tex]x_{4}[/tex] = [tex]V_{4} t[/tex] + [tex]\frac{1}{2}[/tex][tex]at^{2}[/tex]
[tex]26 = v4(1) +\frac{1}{2} (1.76)(1)2[/tex]
v4 = 25.12m/s
25.12 = v0 + a(4)
v0 = 17.12 m/s
Hence 17.12 m/s is a correct answer for the car's initial velocity.
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What type of reactions are essentially opposites of one another?
Answers
The chemical reactions of decomposition and synthesis are opposite to each other.
In decomposition reaction, a chemical compound breaks apart or decomposes into two or more molecules. Generally, the decomposition reaction is represented as AB → A + B.
In this type of reaction, a final product or compound transforms into constituents or individual reactants and it is the reverse of synthesis reaction. It is also called chemical decomposition or chemical break down. For example CaCO3(s)→ CaO(s)+CO2(g) is a decomposition reaction.
On the contrary, in synthesis reaction individual reactants combine to form a chemical compound. For example CaO(s)+CO2(g) → CaCO3(s) is a synthesis reaction and is the reverse of decomposition reaction respectively.
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Someone solve this please
Answers
If an outside force acts on a system and causes a change in its velocity, the system is said to be accelerating. The rate at which this velocity changes is known as the system's acceleration.
How will you determine the acceleration of the system?The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.
According to Newton's second law, this acceleration is equal to the product of the entire force acting on the system and its total mass. Now observe that the two bodies can each be considered separately in terms of Newton's law.
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at which of the following locations is the electric field the strongest? a point 1 m from the surface of a charged spherical shell with a radius of 0.5 m and a charge of 1 c a point 0.1 m (perpendicular distance) from the center of a 10-m-long wire with 1 c of charge distributed on it a point 1 m from a 1-c point charge a point 0.1 m (perpendicular distance) from the center of a 10-m2 conducting plane with charge with 1 c of charge distributed on each side a point 1 m from the surface of a charged spherical with a radius of 1 m that has 1 c of charge distributed on it
Answers
A point 0.1 m (perpendicular distance) from the center of a 10 - m long wire with 1C of charge distributed on it. Thus, option 4 is correct.
What is charge?Subatomic particles with an electric charge will exert a force when they are in an electric or magnetic field, according to the definition of electric charge.
Protons and electrons are the most common charge carriers for the two types of electrical charges—positive and negative.
Subatomic particles or matter particles serve as examples of different types of charges:
The charge on a proton is positive.
Negative charge is a property of electrons.
Null charge exists in neutrons.
Option 4 has the the strongest electric field
[tex]$$for the long wire,$$\mathrm{E}=\frac{\lambda}{2 \pi \epsilon_{\mathrm{o}} \mathrm{r}}$$where,$$\lambda=\frac{\mathrm{Q}}{\mathrm{L}}=\frac{1}{10}=0.1 \frac{\mathrm{C}}{\mathrm{m}}$$so,$$\begin{aligned}\mathrm{E} & =\frac{0.1}{2 \pi \times 8.85 \mathrm{e}-12 \times 0.1} \\\mathrm{E} & =1.8 \times 10^{10} \ {\mathrm{N}}/{\mathrm{C}}\end{aligned}$$[/tex]
which is comparatively stronger than other cases.
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A 7. 0 kg bowling ball traveling at 2. 0 m/s collides with a stationary 0. 5 kg beach ball in an elastic collision. The bowling ball leaves the collision with a velocity of 1. 5 m/s traveling in the same direction as the beach ball.
Answers
The final velocity of the beach ball is 4.5 m/s, traveling in the same direction as the bowling ball after the collision.
Given that the initial velocity of the beach ball is 0 m/s, we have:
7.0 kg * 2.0 m/s + 0.5 kg * 0 m/s = 7.0 kg * 1.5 m/s + 0.5 kg * v2'
Solving for v2', we get:
v2' = (7.0 kg * 2.0 m/s + 0.5 kg * 0 m/s - 7.0 kg * 1.5 m/s) / 0.5 kg = 4.5 m/s.
A collision is a sudden, forceful event that occurs when two or more objects come into contact with each other. This can happen in various physical settings, from subatomic particle interactions to car accidents. In physics, collisions are often studied to understand the motion and energy transfer between objects.
Collisions can either be elastic or inelastic. In an elastic collision, the total kinetic energy of the colliding objects is conserved, and the objects simply bounce off each other. In an inelastic collision, the total kinetic energy of the objects decreases due to the transfer of energy into other forms such as heat, sound, or deformation.
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Two cars with equal mass come to a stop from the same initial speed, one braking gently and the other braking hard.
Answers
The car that brakes hard will convert more kinetic energy to thermal energy compared to the car that brakes gently.
What do you mean by Kinetic energy ?Kinetic energy is the energy an object has due to its motion. It is defined as the work required to accelerate an object from rest to its current velocity. The equation for kinetic energy (KE) is given by:
KE = 0.5 * m * v²
where
m is the mass of the object and
v is its velocity.
Kinetic energy is a scalar quantity and has units of joules (J) in the SI system. It is an important concept in mechanics and is used to calculate the energy of an object in motion, the energy transfer in collisions and other interactions, and the potential energy of an object in motion.
When a car brakes, its kinetic energy is transformed into thermal energy due to the friction between the brakes and the wheels. The harder the brakes are applied, the greater the friction and the more kinetic energy is converted into thermal energy.
As a result, the car that brakes hard will experience a greater amount of friction and convert more of its kinetic energy into thermal energy, leading to higher temperatures and more energy lost as heat compared to the car that brakes gently.
Therefore, the car that brakes hard will convert more of its kinetic energy into thermal energy due to the increased friction between its brakes and wheels, leading to a greater loss of energy as heat.
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a commuter backs her car out of her garage with a constant acceleration of 1.9 m/s2. assume that her initial motion is in the positive direction.
Answers
If a commuter backs her car out of her garage with a constant acceleration of 1.9 m/s^2 and her initial motion is in the positive direction, we can use kinematic equations to calculate the position, velocity, and time of her car.
The first equation we can use is the position equation:
x = x0 + v0 * t + 0.5 * a * t^2
where x is the final position, x0 is the initial position (which is 0 in this case since she is backing out of the garage), v0 is the initial velocity (which is 0 m/s since she is starting from rest), t is the time, and a is the acceleration (1.9 m/s^2).
The next equation we can use is the velocity equation:
v = v0 + a * t
where v is the final velocity.
To solve for t, we can use either equation and substitute the known values. For example, using the velocity equation:
v = v0 + a * t
t = (v - v0) / a
t = (v - 0) / 1.9
Once we have t, we can use it in the position equation to solve for x:
x = x0 + v0 * t + 0.5 * a * t^2
x = 0 + 0 * t + 0.5 * 1.9 * t^2
x = 0.5 * 1.9 * t^2
The above equation can thus be used to calculate the car's position as a function of time. The velocity and position of the car at any given time can be calculated by plugging the value of t into the velocity and position equations, respectively.
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