a capacitor is connected to a battery as shown above. the plates of the capacitor are pulled apart using insulating handles while the capacitor remains connected to the battery. will the capacitance and energy stored in the capacitor increase, decrease, or remain the same?
If the plates of a capacitor are pulled apart using insulating handles while the capacitor remains connected to the battery, the distance between the plates will increase. This will result in a decrease in the capacitance of the capacitor.
The capacitance of a capacitor is directly proportional to the area of the plates and inversely proportional to the distance between the plates. When the plates are pulled apart, the distance between them increases, so the capacitance decreases.
However, the energy stored in the capacitor is given by the formula: E = (1/2)CV^2, where C is the capacitance of the capacitor and V is the voltage across the capacitor. Since the battery is still connected, the voltage across the capacitor remains constant. Therefore, the energy stored in the capacitor will decrease as the capacitance decreases.
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what is the magnitude of the total charge on the sphere? express your answer with the appropriate units.
The magnitude of uniformly distributed charge on the sphere, is - Q(r3/a3).
What is magnitude?The magnitude of an item, event, or phenomena is a measure of its relative size or intensity. It is often stated numerically on a logarithmic scale. The magnitude scale is frequently used to compare the size of earthquakes and other objects such as stars and galaxies.
As we know that, outside any spherically-symmetric charge distribution, the field is the same as if all the charge were concentrated at a point in the center, and so, then, is the potential. Therefore,
V=Q4πϵ0r.(2.2.3)
And, inside a hollow spherical shell of radius a and carrying a charge Q the field is zero, and thus, the potential is uniform throughout the interior, and equal to the potential on the surface, which is
V=Q4πϵ0a.(2.2.4)
A solid sphere of radius a bearing a charge Q that is uniformly distributed throughout the sphere is easier to imagine than to achieve in practice, but, for all we know, a proton might be like this (it might be – but it isn’t!), so let’s calculate the field at a point P inside the sphere at a distance (r<a) from the center.
We can solve this problem in 2 parts.
1- The potential from the part of the sphere “below” P. If the charge is uniformly distributed throughout the sphere, this is just Qr4πϵ0r
- Here, Qr- is the charge contained within radius r, which, if the charge is uniformly distributed throughout the sphere, is Q(r3/a3)
Thus, that part of the potential is - "Qr24πϵ0a3".
Thus the final answer for the magnitude of total charge on sphere is Q(r3/a3).
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when you weigh yourself on a bathroom scale on a slight incline instead of a level surface, your weight reading on the scale will be
The answer is C) more. When a bathroom scale is placed on an incline, the weight will be greater than when placed on a level surface due to the increased force of gravity.
This can be explained mathematically using the equation[tex]F = mg[/tex], where F is the force, m is the mass, and g is the acceleration due to gravity. If the scale is on an incline, the force of gravity on the object will be greater than if it were on a level surface, resulting in a higher weight reading on the scale.Gravity is a force of attraction between two objects that is proportional to the product of their masses and inversely proportional to the square of the distance between them.
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complete question:When you weigh yourself on a bathroom scale on a slight incline instead of a level surface, your weight reading on the scale will be
A) less.
B) no different.
C) more.
4. A point charge of 1 μC experiences an electric force of 0.02 N. What is the magnitude of electric field at that point?
The magnitude of the electric field at that point is 2 × 10⁷ N/C.
What is the magnitude of electric field at that point?
The electric field at a point can be determined from the force experienced by a charge at that point, using the equation:
E = F/q
where;
E is the electric field, F is the force experienced by a charge, and q is the charge.In this case, the force experienced by a charge of 1 μC (or 1 × 10^-6 Coulombs) is 0.02 N, so the electric field can be calculated as follows:
E = F/q = 0.02 N / (1 × 10^-6 C)
E = 2 × 10⁷ N/C
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What you've learned about people researching. Be sure to discuss some of the issues Oliver points to regarding research methods and representativeness that you think are relevant to this article about monkey pox, or others you might have seen. Expand your discussion by reflecting on how you make meaning of the 'deeply embedded systems, laws, written or unwritten policies,' etc. That play a role here as well
Research methods and representativeness play a crucial role in scientific studies, and they are essential for drawing accurate conclusions.
As Oliver points out, issues such as selection bias, sampling methods, and the generalizability of findings can all impact the validity of research. In the case of the article about moneypox, it is essential to consider the representativeness of the sample, which was limited to individuals who sought healthcare.
This limitation could impact the accuracy of the reported incidence rates. Furthermore, it is important to acknowledge the deeply embedded systems, laws, and policies that influence research and its outcomes, such as funding biases or political agendas. Being aware of these factors is crucial for interpreting and contextualizing research findings.
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the lowest note on a grand piano has a frequency of 27.5 hz . the entire string is 2.00 m long and has a mass of 400 g . the vibrating section of the string is 1.90 m long
The lowest note on a typical 88-key piano is designated A0. The 0th octave note "A" is identified as such. The first octave's "A" note, which is an octave higher than that, is A1, not A.
What is the lowest note on a grand piano has a frequency?With 88 keys, a full-size piano offers a range of little more than 7 octaves. The third white key from the right end of the piano, which is the highest A note, has a frequency of 3520 hertz.
Discover the relationship between the frequencies of two subsequent notes, or of two adjacent keys on the piano keyboard.
The fundamental harmonic, or lowest note on a grand piano, has a wavelength that is twice the length of the vibrating part of the string, or = 2L, where L = 1.90 m.
The wave's velocity is given by v = f, but it also depends on the tension of the wire, as shown by v = qT, where m/ is the wire's linear mass density ( is the full length of the wire, not the vibrating part).
[tex]T = u(\lambda f)^2= 4 ul^2f^2= \frac{4 ml^2f^2}{l}[/tex]
[tex]= \frac{4.400\times (1.90)^2 (27.5)^2}{2}[/tex]
[tex]= 2185N[/tex]
Therefore, the tension is 2185 N.
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What will you see if you look at them with a telescope that has an angular resolution of 0.5 arcsecond?
The term “angular resolution,” which is often referred to as “spatial resolution,” refers to a device's capacity to differentiate fine features of an item. Examples include the human eye and telescopes. The eye, an organ, functions as a tool in the human visual system.
What is the angular resolution?When the measurement points are closer together, smaller objects can be “seen” with less angular resolution. The safety quality increases with additional beams, which results in a decrease in angular resolution.
Several safety laser scanner products direct the laser beam in a circular pattern across the scanning field using a spinning mirror.
The lowest angle between close objects that can be seen to be distinctly separate is the telescope's angular resolving power (or resolution). The fact that light is a wave limits resolution.
Therefore, One spot of light with a hazy representation of two stars.
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why does a protoplanet become spherical after it grows to be larger than several hundred kilometers in diameter? choose one: a. as particles and debris accrete to the protoplanet, the spaces fill in to create a spherical shape. b. a sphere is the best shape in nature. as objects get larger, they attain sphericity. c. smaller objects are more likely to be oblong. as they get larger, they tend to become spherical. d. as a protoplanet gets larger, it heats up and becomes soft. gravity shapes the planet into a sphere.
Correct answer is D) Protoplanet gets spherical when larger than 100 kilometers in diameter cause increasing mass and gravity heat
As a protoplanet grows, it attracts more and more particles and debris in its vicinity through gravitational forces. As these particles and debris collide and merge, they create a mass that is concentrated at the center of the protoplanet. The mass and gravity of the protoplanet increase as it grows, and this results in a higher pressure and temperature in its interior.
As the protoplanet heats up, it becomes softer and more malleable. Gravity, which is the force that pulls objects toward each other, acts to distribute the mass of the protoplanet uniformly around its center. This leads to the formation of a spherical shape. A sphere is the most stable and uniform shape in nature, and it is the most efficient shape for distributing mass evenly.
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to determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. if the time is 2.3 s, what is the height of the bridge? a) 10 m b) 14 m c) 26 m d) 32 m
the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. if the time is 2.3 s, 26m is the height of the bridge.
initial velocity u = 0m/s
time taken t = 2.3 s
height of the bridge is H = ut + 1/2 g t²
= 0+ 1/2 *9.8 * ( 2.3 )²
= 25.9 m≅26m
A bridge is a structure that spans a physical obstacle, such as a body of water, a valley, or a road. Bridges are designed to provide a stable and safe passage for people, vehicles, and materials. The design of a bridge depends on the type of obstacle it spans, the traffic it carries, and the environmental conditions in the area. Bridges can be made of various materials, including wood, stone, concrete, and steel. The construction of a bridge requires careful planning, engineering, and execution. Many factors must be considered, such as the load capacity of the bridge, the effects of wind and water on the structure, and the impact on the environment. Bridges play a vital role in transportation, commerce, and tourism.
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WHY is the answer B? Please give scientifically sound explanation. Will give brainliest.
The ball would stationary at the maximum height and accelerated greatly as it falls until it comes to rest on the ground. Option B
What is the velocity time graph for an object thrown up?The slope of the velocity-time graph represents the acceleration of the object. At the highest point of the object's trajectory, the acceleration is zero, as it is temporarily at rest. As the object starts to fall, its acceleration becomes negative, indicating that it is accelerating downwards due to the force of gravity.
The velocity-time graph is a useful tool for analyzing the motion of an object and understanding its velocity and acceleration at different points in time.
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what is the ka of an unknown weak acid ha, at 25°c, if the ph of a 2.5 × 10-2 m solution of the acid was measured and found to be 4.94?
The value of Ka of an unknown weak acid ha, at 25°c is 0.53 x 10⁻⁸.
According to the given data,
concentration of weak acid (C) = 2.5 x 10⁻² M
[tex]P^H[/tex] = 4.94
[tex][H^+] = 10^-^P^H[/tex] = 10⁻⁴.⁹⁴
= 1.15 x 10⁻⁵ M
[tex][H^+] = \sqrt{Ka * C}[/tex]
(1.15 x 10⁻⁵ M)² = Ka x 2.5 x 10⁻² M
[tex]Ka =\frac{(1.15*10^-^5 M)^2}{2.5*10^-^2M}[/tex]
= 0.53 x 10⁻⁸
Therefore, ka of an unknown weak acid ha, at 25°c is 0.53 x 10⁻⁸.
A weak acid is an acid that incompletely dissociates into its ions in an waterless result or water. In discrepancy, a strong acid completely dissociates into its ions in water.
The conjugate base of a weak acid is a weak base, while the conjugate acid of a weak base is a weak acid. At the same attention, weak acids have a advanced pH value than strong acids.
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Would the field representation of a positive or negative charge be a better representation for the gravitational field around one mass? why?
if the block is at rest (and the only forces acting on the block are the force due to gravity and the normal force from the table), what is the magnitude of the force due to friction?
The friction force will be ZERO. because friction force act only on relative motion. but here is no motion.
In physics, pressure is an influence that may exchange the motion of an item. A force can purpose an object with mass to alternate its velocity (e.g. moving from a nation of relaxation), i.e., to boost up. its miles are measured inside the SI unit of newton (N). force is represented with the aid of the symbol F (formerly P).
The unique form of Newton's 2d regulation states that the net pressure appearing upon an object is identical to the fee at which its momentum modifications with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is immediately proportional to the internet force appearing on the object, is within the direction of the internet force, and is inversely proportional to the mass of the object.
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a 0.10 m long solenoid contains 500 turns and carries a current of 4.0 a. what is the strength of the magnetic field at the center of the solenoid if its radius is 1.0 x 10-2 m?
The strength of the magnetic field at the center of the solenoid is 1.26 x 10^-2 T.
What is a magnetic field?An area of space known as a magnetic field is where a magnetic force is applied to a magnetic item. It is produced by electric charges moving, such as electrons moving in an electric current or electrons moving in the atoms and molecules of magnetic materials.
A magnetic field has both a magnitude and a direction because it is a vector field. While the direction of the magnetic field is determined by the direction of the magnetic force it exerts on a north magnetic pole, the strength of the magnetic field is measured in units of tesla (T).
To calculate the magnetic field at the center of the solenoid:
B = μ₀ * n * I
Where:
μ₀ is the permeability of free space (4π x 10^-7 T·m/A)
n is the number of turns per unit length (in this case, n = N/L, where N is the total number of turns and L is the length of the solenoid)
I is the current
We can calculate n as:
n = N/L = 500 turns / 0.10 m = 5000 turns/m
Now we can substitute the values into the equation:
B = μ₀ * n * I = (4π x 10^-7 T·m/A) * (5000 turns/m) * (4.0 A)
B = 1.26 x 10^-2 T
Therefore, the strength of the magnetic field at the center of the solenoid is 1.26 x 10^-2 T (tesla).
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assume the woman in the figure uses her prism to look at a spectrum of light coming from the object(s) shown. in which case will she see a continuous rainbow of thermal radiation?
She will see a continuous rainbow of thermal radiation which is blackbody radiation.
In thermal radiation:
This type of radiation is called blackbody radiation and is emitted by any object that has a temperature above absolute zero.
When the object is heated, it emits radiation at different wavelengths across the entire electromagnetic spectrum. As the light passes through the prism, it is refracted and dispersed into its component colors, creating a rainbow-like spectrum. The resulting spectrum will be continuous and contain all the colors of the rainbow.
On the other hand, if the object is not hot enough to emit blackbody radiation, the spectrum of light emitted by it will not be continuous. Instead, the spectrum will have discrete lines or bands, depending on the energy levels of the atoms or molecules present in the object. This type of emission is called line emission or band emission, respectively.
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what happens to most solar radiation when it reaches the surface of the earth?
When solar radiation reaches the surface of the Earth, a variety of processes can occur.
Some of the energy is reflected back into space by clouds, snow, ice, and other reflective surfaces. Some of the energy is absorbed by the atmosphere, where it can be scattered, reflected, or absorbed by gases and particles. The remaining solar radiation that reaches the surface of the Earth can be absorbed by the ground, plants, and other materials, where it is converted into heat. This process is responsible for warming the Earth's surface and is a critical component of the Earth's climate system.
Solar radiation is a combination of different types of electromagnetic waves, including visible light, ultraviolet (UV) radiation, and infrared (IR) radiation. When solar radiation reaches the Earth's atmosphere, a portion of it is reflected back into space by the atmosphere itself, clouds, and other reflective surfaces.
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(ii) has the particle moved to a position where the electric potential is higher than before, unchanged, lower than before, or unpredictable?
The particle has moved to a position where the electric potential is lower than before.
Electric potential is a scalar quantity that represents the amount of electric potential energy per unit charge at a particular point in space. In the given scenario, as the particle has moved towards the negatively charged object, the distance between the particle and the object decreases. As a result, the electric potential energy between the two objects decreases, which in turn reduces the electric potential at the position of the particle. Therefore, the particle has moved to a position of lower electric potential than before. This can be visualized by the electric potential lines, which are closer together near the negatively charged object, indicating a higher electric field strength and lower electric potential in that region.
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three parallel plate capacitors are shown below. the distance between their plates is the same in all three cases. for which capacitor does the electric field between the plates have the largest magnitude?
From the given diagram, we can see that the middle capacitor has the smallest capacitance since it has the smallest plate area. Therefore, the middle capacitor will have the largest electric field.
The electric field between the plates of a parallel plate capacitor is given by E = V/d, where V is the potential difference between the plates and d is the distance between the plates.
Since the distance between the plates is the same for all three capacitors, the electric field between the plates will be proportional to the potential difference V.
The potential difference V for a capacitor is given by V = Q/C, where Q is the charge on the plates and C is the capacitance of the capacitor.
Therefore, the capacitor with the largest electric field will be the one with the largest charge or the smallest capacitance.
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exerts such a strong gravitational pull that no light escapes
Black holes are among the most extreme and fascinating objects in the universe, and their study has greatly advanced our understanding of gravity, the properties of matter, and the structure of the universe.
What is Gravitation?
Gravitation is the force of attraction between two masses in the universe. Every object in the universe that has mass exerts a gravitational force on every other object that has mass. The strength of the gravitational force depends on the mass of the objects and the distance between them. The greater the mass of an object, the stronger the gravitational force it exerts, and the closer two objects are, the stronger the gravitational force between them.
An object that exerts such a strong gravitational pull that no light can escape is called a black hole. Black holes are formed by the collapse of massive stars, in which the star's core collapses under the force of gravity to a point of zero volume and infinite density known as a singularity. The gravitational force of a black hole is so strong that even light, which has no mass, cannot escape its pull.
The boundary around a black hole beyond which nothing can escape is called the event horizon. Once something crosses the event horizon, it is inevitably pulled towards the singularity at the center of the black hole. The boundary of the event horizon is also known as the point of no return, beyond which escape is impossible.
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at which time or times shown is the acceleration zero? 2. at which time or times shown is the kinetic energy a maximum? 3. at which time or times shown is the potential energy a maximum?
On analysis of the figure
1)- B, D
2. B , D
3. A, , C At bath position :- acceleration due to centripetal gravity - acceleration. Hence; net acceleration is zero.
When a point or object accelerates or decelerates, it is moving forward directly. While moving at the same speed, a circle moves faster because its direction is constantly shifting. All of these effects hasten the progress of every other movement.Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The change in velocity vector during a time interval divided by the time interval is the definition of acceleration. The instantaneous acceleration is given by the upper bound of the ratio of the change in velocity during the instantaneous period (at a certain time and location).
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a 33 m chain weighing 3 kg/m hangs over the side of a bridge. how much work is done by a winch that winds the entire chain in?
In physics, mass is a measure of the amount of matter in an object. It is a scalar quantity that does not depend on the location or environment of the object. Mass is usually measured in kilograms (kg) or grams (g), and it is one of the fundamental properties of matter that is used to describe the behavior of objects in motion. The mass of an object can be determined by weighing it on a scale, and it is different from weight, which is the force that gravity exerts on an object and varies depending on the object's location and the strength of the gravitational field.
Some examples of mass are:
A book has a mass of several hundred grams to a few kilograms, depending on its size and thickness.An adult human typically has a mass of 50-100 kilograms, depending on their height and weight.A small car has a mass of around 1000 kg, while a larger SUV may have a mass of 2000 kg or more.To calculate the work done by the winch in winding the entire chain, the potential energy stored in the chain has to be known when it hangs over the side of the bridge. This potential energy is due to the gravitational force acting on the chain.
The formula for gravitational potential energy is:
U = mgh
Where U is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above some reference point.
In this case, take the reference point to be the level of the bridge.
First, calculate the mass of the entire chain:
mass of chain = length of chain × mass per unit length
mass of chain = 33 m × 3 kg/m
mass of chain = 99 kg
Next, calculate the height of the chain above the bridge.
Since the chain hangs over the side of the bridge, use the full length of the chain as the height:
Height of chain = length of chain = 33 m
Finally, calculate the potential energy of the chain:
U = mgh
U = 99 kg × 9.81 m/s^2 × 33 m
U = 32,455 J
Therefore, the work done by the winch in winding the entire chain in is 32,455 J.
Note that this is the minimum amount of work required to lift the chain, and the actual work done by the winch may be slightly higher due to friction and other factors.
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an iron rod of length 30cm is heated through 50Kelvin. calculate it's increase in length °C (Linear expansivity of iron=1.2 x 10^-5K ^-1)
Answer:
0.018 cm
Explanation:
The increase in length can be calculated using the formula:
ΔL = α * L * ΔT
where ΔL is the increase in length, α is the linear expansivity of iron, L is the original length of the rod, and ΔT is the change in temperature.
Plugging in the values, we get:
ΔL = 1.2 x 10^-5 * 30 * 50
ΔL = 0.018 cm
So, the iron rod increases in length by 0.018 cm when heated through 50 Kelvin.
Is temperature the measure of the average kinetic energy of a substance?
Yes, The average kinetic energy of the particles in a material is measured by temperature. It is a typical particle's kinetic energy.
The average kinetic energy of the particles in a material is measured by temperature. The overall kinetic energy of the particles in a material is measured by thermal energy. The more the mobility of particles, the higher the temperature and thermal energy of a material. Kinetic energy is the energy held by a moving item. A substance's temperature is directly proportional to the average kinetic energy of its particles. The kinetic energy of the particles is 0 at absolute zero. A substance's temperature is proportional to its kinetic energy. Since kinetic energy is the energy that a material has as a result of its molecules moving, when a substance absorbs heat, its molecules move quicker, increasing the substance's kinetic energy.
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weightlifter lifts the mathematical constant speed so high 8in time tea how much power than by weightlifter
The power done by the weightlifter is given by the formula P = mgh/t, where m is the mass and g is the acceleration due to gravity. Therefore, the power done by the weightlifter is P = mgh/t.
The concept of "work" has a fairly clear definition in physics. Work is the application of a force, f, over a distance, d, to move an item in the direction of the applied force. The formula W = fd describes work, or W.
Energy and work go hand in hand. You alter an object's energy as you work to move it. The energy that an object has stored up due to its position above the Earth's surface is known as gravitational potential energy (or another object in space).
Power is defined as work done per unit time such that: P = W/t = Fd/t = mgh/t where F = mg and d= h.
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complete question: A weightlifter lifts the mass m at constant speed to a height h in time t. How much power is done by the weightlifter?
two charged copper spheres are placed in space. if the charge on each sphere is halved and the distance between the spheres is also halved, the electric force between the spheres will
The distance between the spheres is halved. The force of repulsion between the two spheres, Therefore, the force between the two spheres is 0.243 N.
Let us consider, the charge on sphere A [tex]q_A[/tex] and on sphere B [tex]q_B[/tex] According to the question,
q_A= 6.5 × 10−7 C
q_B= 6.5 × 10−7 C
r=distance between A and B=50cm=50×10^-2
From Coulomb's law, the force between the two spheres is
F= [tex]\frac{9*6.5&6.5* 10^-5}{50*50*10^-4} = 1.521*10^-2N[/tex]
According to the question, if the charge is doubled
Distance between them is halved i.e., r'=r/2
F = 16F 16*1.521*10^-2N = 0.243 N
In physics, pressure is an influence that may exchange the motion of an item. A force can purpose an object with mass to alternate its velocity (e.g. moving from a nation of relaxation), i.e., to boost up. its miles are measured inside the SI unit of newton (N). force is represented with the aid of the symbol F (formerly P).
The unique form of Newton's 2d regulation states that the net pressure appearing upon an object is identical to the fee at which its momentum modifications with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is immediately proportional to the internet force appearing on the object, is within the direction of the internet force, and is inversely proportional to the mass of the object.
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Complete Question:
Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is 6.5 × 10−7 C? The radii of A and B are negligible compared to the distance of separation. (b) What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?
a spaceship explodes in deep space and the fragments go in all different directions. does this event conserve momentum?
If a system is isolated, then whether it is a collision or an explosion, each object involved encounters the identical impulse to cause the same momentum change.
What are the event conserve momentum?Since the initial energy was changed into multiple kinds of energy during the explosion, the initial kinetic energy was not conserved. However, because mass is broken into fragments with velocities that are inversely proportional to mass, momentum will be conserved.
The linear momentum of two objects in an isolated system that are at rest and are driven apart by an explosion is constant. The two objects are initially at rest with zero linear motion (because vi2 and vi2 are both equal to zero).
Therefore, each object has an equal but opposite change in impulse and momentum. As a result, the system's overall momentum is conserved.
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a bob of mass .8kg is attached to the end of a 1.5m long strig and pulled back to a maximum angle of 30. when the bob reaches the equilibrium position, determine
As the bob swings back towards its equilibrium position, its potential energy is converted into kinetic energy, causing it to accelerate. When the bob reaches its equilibrium position, it momentarily comes to a stop before accelerating in the opposite direction.
At this point, all of the potential energy has been converted into kinetic energy, and the velocity of the bob is at its maximum. The exact velocity of the bob at the equilibrium position can be calculated using conservation of energy principles, taking into account the mass of the bob, the length of the string, and the maximum angle of displacement. Additionally, the period and frequency of the bob's motion can also be determined using equations of simple harmonic motion.
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Calculate gravitational strength you weight yourself at the top of a high mountain and the scale reads 728N.If your mass is 75 kg,what is the gravitational strenght at your location
The gravitational strength at your location is 9.71 m/s^2.
What is the gravitational strength
The gravitational strength, or acceleration due to gravity, can be calculated using the formula:
g = F/m
where;
F is the force due to gravity (weight) and m is the mass of the object.In this case, F = 728 N and m = 75 kg.
g = 728 N / 75 kg = 9.71 m/s^2
This is the acceleration due to gravity at the location where you weighed yourself on the high mountain.
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a motorist traveling at 11m/s encounters a deer in the road 41 m ahead. if the maximum acceleration the vehicle's brakes are capable of is -7m/s^2, what is the macimum reaction time of the motorist that will allow her or him to avoid hitting the deer? answer in units of s
The maximum reaction time of the motorist that will allow her or him to avoid hitting the deer is 1.57s
The maximum reaction time of the motorist will be the time it takes for the vehicle to come to a complete stop. To find this, we can use the equation:
Vf^2=Vi^2+2ad
Where Vf is the final velocity (0 m/s), Vi is the initial velocity (11 m/s), a is the acceleration (-7 m/s^2) and d is the distance (41 m).
We can rearrange this equation to solve for t, the time it takes for the vehicle to come to a complete stop:
t=-(Vi+Vf)/a
Plugging in our values, we get:
t=-(11+0)/(-7)
t= 1.57 s
Therefore, the maximum reaction time of the motorist will be 1.57 seconds in order to avoid hitting the deer.
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how is rayleigh scattering and frequency related? double
Rayleigh scattering and frequency are related because the amount of scattering is inversely proportional to the fourth power of the frequency of the light. This means that as the frequency of the light increases, the amount of scattering decreases. This relationship is described by the Rayleigh scattering equation:
Is = I0 (1 + cos2θ) / (2r2) (λ0/λ)4
Where Is is the intensity of the scattered light, I0 is the intensity of the incident light, θ is the scattering angle, r is the distance from the scattering particle, λ0 is the wavelength of the incident light, and λ is the wavelength of the scattered light. This equation shows that the intensity of the scattered light is inversely proportional to the fourth power of the wavelength of the incident light, which is directly related to the frequency of the light.
Therefore, Rayleigh scattering and frequency are related in that the amount of scattering decreases as the frequency of the light increases.
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