When charges on the capacitor is 30 μC, the rate of change of current (in A/s) at the moment is 2.0. The correct option is A.
An L-C circuit consists of an inductor (L) and a capacitor (C). The given values are L = 0.60 H and C = 25 μF. When the charge on the capacitor is 30 μC, we need to find the rate of change of current (dI/dt) in A/s.
To do this, first calculate the voltage across the capacitor (Vc) using the formula Vc = Q/C, where Q is the charge (30 μC) and C is the capacitance (25 μF). Convert the values to SI units.
Vc = (30 x 10^-6 C) / (25 x 10^-6 F) = 1.2 V
Now, we'll use the formula V = L(dI/dt), where V is the voltage across the inductor (which equals the voltage across the capacitor in an L-C circuit), L is the inductance (0.60 H), and dI/dt is the rate of change of current.
1.2 V = 0.60 H * (dI/dt)
Solving for dI/dt:
dI/dt = 1.2 V / 0.60 H = 2.0 A/s
Thus, the rate of change of current at the moment when the charge on the capacitor is 30 μC is: 2.0 A/s
Therefore, the correct option is A. 2.0
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brainliest please help
show the resultant force
8n downwards
since downwards force is greater than upwards just minus
A proton moving eastward with a velocity of 5. 0 km/s enters a magnetic field of 0. 20 T pointing northward. What are the magnitude and direction of the force that the magnetic field exerts on the proton
The magnitude of the force that a magnetic field exerts on a charged particle is given by the equation:
F = qvB sin(theta)
where q is the charge of the particle, v is its velocity, B is the magnetic field strength, and theta is the angle between the velocity vector and the magnetic field vector.
In this case, the proton has a positive charge of +1.6 x 10^-19 C, and it is moving eastward with a velocity of 5.0 km/s. The magnetic field is pointing northward with a strength of 0.20 T.
The angle between the velocity vector and the magnetic field vector is 90 degrees, since the velocity is eastward and the magnetic field is northward.
Plugging these values into the equation, we get:
F = (1.6 x 10^-19 C)(5.0 x 10^3 m/s)(0.20 T) sin(90)
F = 1.6 x 10^-19 N
So the magnitude of the force that the magnetic field exerts on the proton is 1.6 x 10^-19 N.
The direction of the force can be determined using the right-hand rule. If you point your right thumb in the direction of the proton's velocity (eastward), and your fingers in the direction of the magnetic field (northward), then the direction of the force vector is perpendicular to both, pointing downward. Therefore, the direction of the force on the proton is southward.
Why does precipitation
occur when warm air rises?
Answer:
the warm air rises, cools and condenses to form clouds
A ball is thrown horizontally at a speed of 16 m/s from the top of a cliff. If the ball hits the ground 6.0 s later, approximately how high is the cliff? 360m 240m 180m 150m
Answer:
Y = 176.4 m
Explanation:
For the height of cliff we will analyze the vertical motion. We will apply the 2nd equation of motion:
Y = V₀y*t + (0.5)gt²
where,
Y = Height = ?
V₀y = Initial Vertical Velocity = 0 m/s (since, ball is thrown horizontally)
t = time = 6 s
g = 9.8 m/s²
Therefore,
Y = (0 m/s)(6 s) + (0.5)(9.8 m/s²)(6 s)²
Y = 176.4 m
The same strength force was exerted in the same direction on both Object A and Object B. Why did Object A go faster than Object B?
Answer:
\(m_B > m_A\)
the mass of body B must be greater than the mass of body A
Explanation:
Newton's second law establishes a linear relationship between the force, the mass of the body and its acceleration
F = m a
a = F / m
Let's analyze this expression tells us that the force is of equal magnitude for the two bodies, but body A goes faster than body B, this implies that it has more relationships
a_A > a_B
\(\frac{F}{m_A} > \frac{F}{m_B}\)
\(m_B > m_A\)
Therefore, for this to happen, the mass of body B must be greater than the mass of body A
Which of the following statements is true for both solar energy and wind energy? (1 point)
O Energy collection equipment can be installed in agricultural areas without affecting crop production
O Power from this energy source can easily be integrated into existing power grid systems.
O Energy is able to be collected both day and night.
O Power generation using this energy source does not contribute to water pollution
The statement that is true for both solar energy and wind energy is that power generation using this energy source does not contribute to water pollution.
What is solar and wind energy?Solar energy is the energy in the form of electromagnetic radiation emitted from the Sun while wind energy is the energy generated from from moving currents of the wind using wind turbines.
Solar and wind energies are both renewable sources of energy i.e. they cannot be exhausted.
However, the generation of power from both solar and wind sources does not pollute water.
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The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is
The S.I. unit of E is NC^-1 and that of B is NA^-1 m^-1, then unit of E/B is A m/C (ampere meter per coulomb). This unit represents the ratio between the electric field and the magnetic field, indicating the strength and direction of the electromagnetic field.
The SI unit of electric field (E) is NC^(-1) (newton per coulomb) and the SI unit of magnetic field (B) is NA^(-1) m^(-1) (tesla). To determine the unit of E/B, we need to divide the unit of E by the unit of B.
Dividing the unit of E (NC^(-1)) by the unit of B (NA^(-1) m^(-1)), we can simplify the expression:
E/B = (NC^(-1))/(NA^(-1) m^(-1))
To simplify this expression, we can cancel out the common units in the numerator and denominator:
E/B = (N/C)/(N/(A m))
Now, let's simplify further by dividing the numerator and denominator:
E/B = (N/C) * (A m/N)
Canceling out the common units:
E/B = (A m)/(C)
Therefore, the unit of E/B is A m/C (ampere meter per coulomb).
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a 2500-n pile-driver ram falls 10 m and drives a post 0.1 m into the ground. the average impact force on the ram is
The average impact force on the ram is 250,000 N.
It is given to us that -
The weight of the pile driver is given as 2500 N
The pile driver ram falls at a height of 10 m
The post travels 0.1 m into the ground as a result of the pile driver
We have to find out the average impact force on the ram.
We know, with constant force, work can be represented as -
\(W=Force * distance\) ---- (1)
where,
F = force applied in (N - m)
d = distance for which the force is applied
Similarly, the potential energy of a system can be represented as -
\(Potential Energy = mgh\)
where,
m = mass of the system
g = acceleration due to gravity
h = height travelled by the system
Since weight, weight = mass * g, we can write the above formula for potential energy as -
\(Potential Energy = weight * height\) ----- (2)
Now, according to the given information in the problem, the work done by the post should be equal to the potential energy of the pile driver.
So, from equations (1) and (2), we can say that -
\(W = Potential Energy\\= > Force * distance = weight * height\\= > F * 0.1 = 2500 * 10\\= > F = \frac{2500 * 10}{0.1}\\ = > F = 250,000 N\)
Thus, the average impact force on the ram is 250,000 N.
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how is a digital radio different from an analog radio?
a. digital radio is more expensive
b. digital radio uses digtal coding to modulate carrier wave
c. digital radiois older technology
d. digital radio uses longer wavelengths
need answer quick!! 20 points
Yhe main difference between the two is that digital radio doesn't send complete information all at once
a car travels at a constant speed of 20m/s and yet it does not have a constant velocity. explain how this could be
Answer:
HOPE THIS HELPS!!
Explanation:
Velocity is speed as well as distance mentioned.
The car is traveling at a constant speed of 20m/s but it may not be traveling in any particular direction. It would be taking many turns (left and right) or it would be moving in a circular manner.
So,it is at constant speed but not constant velocity.
explain why the different thermal conductivities of metal and plastic are important in the design of the bowl.
Answer:
metal conducts heat faster than wood. which means the metal conducted heat away from your hand (or whatever it is) faster than wood.
Explanation:
just because they feel warm/cold doesn't always mean that it is warm/cold. if they both were sitting at room temp for a long time, then both will eventually reach the temp of the room. even though they are the same temp the metal will feel colder than the wood because of the thermal conductivity of the metal compared to the wood.
The different thermal conductivities of metal and plastic are important in the design of the bowl is metal conducts heat faster than Plastic. which means the metal conducted heat away from your hand (or whatever it is) faster than Plastic.
What is thermal conductivity?
Thermal conductivity can be defined as the degree to which heat is transmitted through the cross-section of the unit of an object, where the temperature exits directly across the surface.
What is electrical and thermal conductivity?Electrical conductivity is a measure of how much energy (moving charge) can pass through objects under the influence of a used electric field. Thermal conductivity measures how heat (heat moving energy) can pass through objects below temperature differences.
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The particle is an electron. the field slows down the electron without deflecting it. what is the direction of the electric field? choose the best answer.
The particle is an electron. The field slows down the electron without deflecting it. The direction of the electric field is right.
In physics, the motion of electrically charged particles gives rise to a field called an electric field. It is measured in force per unit charge.
This field applies force on other charged particles.
Particles bearing opposite charges attract each other while particles having similar charges repel each other in the field.
If a positive charge is placed in the field then the field line moves in an outward direction and for a negative charge, the direction of the lines is inward.
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several Non-Examples of mechanical weathering are?
Answer:
The removal of rock particles by wind, water, ice, or gravity,mining, carving, carving
Explanation:
How do I solve this problem Determine the weight of the tram. The cable at left exerts a 30,000 N force. (The tram is attached to the cable so the tension in the left cable is not necessarily equal to the tension in the right cable.)
Free body diagram:
Here, T_1 is the tension in the left cable (T_1=30000 N; given), T_2 is the tension in the right cable, W is the weight of the tram.
The force equation in horizontal direction is given as,
\(T_1=T_2\sin (75\degree)\)Therefore, the tension in right cable T_2 is given as,
\(T_2=\frac{T_1}{\sin(75\degree)}\)Substituting all known values,
\(\begin{gathered} T_2=\frac{30000\text{ N}}{\sin (75\degree)} \\ \approx31058.28\text{ N} \end{gathered}\)The force equation in the vertical direction is given as,
\(W=T_2\cos (75\degree)\)Substituting all known values,
\(\begin{gathered} W=(31058.28\text{ N})\times\cos (75\degree) \\ \approx8038.47\text{ N} \end{gathered}\)Therefore, the weight of the tram is 8038.47 N.
Two point charges of 9μC and 4μC are placed a distance of 4 m apart.
1) Calculate the magnitude of the force, in Newtons, on a positive 5μC charge at the midpoint between the two charges.
2) Find the point, measured in meters from the 9μC charge, between the two charges where the force on the 5μC charge is 0?
Hi there!
1)
Since the charge placed in the middle is positive, we know that the particle is being repelled.
The particle experiences a greater repelling force by the 9μC charge. We can use the equation for electric force:
\(F_E = \frac{kq_1q_2}{r^2}\)
k = Coulomb's Constant
q₁, q₂: Charges (C)
r = distance between charges (m)
This is a VECTOR quantity, so we must subtract the forces since they point in opposite directions.
Force from 9μC particle:
\(F_E = \frac{k(.000005)(.000009)}{2^2} = .101\\\\\)
Force from 4μC particle:
\(F_E = \frac{k(0.000005)(0.000004)}{2^2} = 0.0450\)
Subtract:
\(.101 - 0.0450 = \boxed{0.561 N}\)
2)
We can find a position by setting the two equations equal to one another. (Both repelling forces must be EQUAL for the force = 0 N)
Let the distance between the 9μC and 5μC charge equal 'x', and the distance between the 4μC and 5μC charge equal '4 - x'.
\(\frac{k(0.000009)(0.000005)}{x^2} = \frac{k(0.000004)(0.000005)}{(4 - x)^2}\)
Cancel out 'k' and the 5μC value.
\(\frac{0.000009}{x^2} = \frac{0.000004}{(4 - x)^2}\)
Solve for 'x' using a graphing utility.
\(\boxed{x = 2.4 m}\)
If the electrons in an atom were stationary, they would be ___ the nucleus
Answer:
Matter in the universe is made up of atoms, particles if electrons were to be stationary, they would have fallen into the nucleus because of electrostatic force acting on them destroying very existence of an atom we know.
how much electrical energy is used by the river cooker oven rated 800 W ,230 V is switched on for 30 minutes
Answer:
E = 1440 kJ
Explanation:
It is given that,
Power of a cooker oven is 800 W
Voltage at which it is operated is 230 V
Time, t = 30 minutes = 1800 seconds
We need to find the electrical energy used by the cooker oven. The product of power and time is equal to the energy consumed. So,
\(E=P\times t\\\\E=800\ W\times 1800\ s\\\\E=1440000\ J\\\\\text{or}\\\\E=1440\ kJ\)
So, electrical energy of 1440 kJ is consumed by the cooker oven.
a sinusoidal electromagnetic wave has rms electric field 800 n/c. what is the intensity of the wave? (c = 3.00 × 108 m/s, μ0 = 4π × 10-7 t ∙ m/a, ε0 = 8.85 × 10-12 c2/n ∙ m2)
The intensity of the wave is 1.92 x \(10^{-5\) W/\(m^2\).
The intensity (I) of an electromagnetic wave is defined as the average power per unit area that it carries.
The relationship between the intensity and the RMS electric field (E) of a sinusoidal electromagnetic wave is given by:
I = (1/2) x \(\epsilon_0\) x c x \(E^2\)
where \(\epsilon_0\) is the vacuum permittivity and c is the speed of light in vacuum.
Substituting the given values, we have:
I = \((1/2) \times (8.85 \times 10^{-12}) \times (3.00 \times 10^8) \times (800 \times 10^{-9})^2\)
I = 9.44 × \(10^{-5} W/m^2\)
Therefore, the intensity of the wave is 9.44 × \(10^{-5\) W/\(m^2\)
It is important to note that the intensity of an electromagnetic wave depends on the square of the amplitude of its electric field.
Therefore, doubling the RMS electric field of the wave will result in a four-fold increase in its intensity.
Conversely, reducing the electric field amplitude by a factor of 2 will result in a reduction of the wave's intensity by a factor of 4.
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The intensity (I) of an electromagnetic wave is defined as the average power (P) per unit area (A) of the wave, and can be calculated using the following formula:
I = P/A
We can also express the power of an electromagnetic wave in terms of the electric field (E) and magnetic field (B) amplitudes, using the following relationship:
P = (1/2)ε0cE^2
where ε0 is the permittivity of free space, c is the speed of light, and E is the root-mean-square (rms) electric field amplitude.
Since we are given the rms electric field amplitude, we can use the above equation to calculate the power of the wave:
P = (1/2)ε0cE^2 = (1/2)(8.85 × 10^-12 c^2/n ∙ m^2)(3.00 × 10^8 m/s)(800 × 10^-9 V/m)^2 = 0.095 W/m^2
Next, we can calculate the intensity by dividing the power by the area through which the wave is passing. Since the area of a sphere of radius r is 4πr^2, and the wave is assumed to be spreading out uniformly in all directions, we can take the area to be that of a sphere with radius r = 1 meter:
A = 4πr^2 = 4π(1 m)^2 = 12.57 m^2
Therefore, the intensity of the wave is:
I = P/A = 0.095 W/m^2 ÷ 12.57 m^2 = 7.57 × 10^-3 W/m^2
So the intensity of the wave is 7.57 × 10^-3 W/m^2.
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6. A woman weighs 650 N and wears high heels with a
total area of 52 cm2. What is the pressure on the floor?
Answer:
12.5
Explanation:
Pressure: Force/Area = 650/52
=12.5
How does Tata 1mg maintain its competitive advantage?
Tata 1mg maintains its competitive advantage through factors such as strong brand reputation, technological innovation, and strategic partnerships.
Tata 1mg, a leading online healthcare platform, sustains its competitive advantage by leveraging several key factors. Firstly, Tata's strong brand reputation and credibility in the market contribute to its competitive edge. This enables them to build trust with customers and attract a large user base. Additionally, Tata 1mg invests in technological innovation to enhance its platform's features, user experience, and efficiency.
By incorporating advanced technologies such as artificial intelligence and machine learning, they can provide personalized healthcare solutions and stay ahead of competitors.
Furthermore, strategic partnerships with healthcare providers, pharmaceutical companies, and diagnostic labs allow Tata 1mg to offer a comprehensive range of services, ensuring convenience and access to a wide network of healthcare resources for their customers. These factors collectively contribute to Tata 1mg's ability to maintain its competitive advantage in the online healthcare industry.
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if an astournat has a mass of 65 kg on earth where the gravitational field strength is 9.8N/kg what the weight on earth
The weight of the astronaut on Earth is 637 N. This means that the force with which the astronaut is being pulled towards the center of the Earth is 637 N.
The weight of an astronaut on Earth is determined by multiplying their mass by the gravitational field strength. In this case, the astronaut has a mass of 65 kg and the gravitational field strength on Earth is 9.8N/kg.
Therefore, the weight of the astronaut on Earth can be calculated by multiplying their mass by the gravitational field strength:
Weight = mass x gravitational field strength
Weight = 65 kg x 9.8 N/kg
Weight = 637 N
Therefore, the weight of the astronaut on Earth is 637 N. This means that the force with which the astronaut is being pulled towards the center of the Earth is 637 N.
However, it is important to note that weight is not the same as mass.
Mass is a measure of the amount of matter in an object, while weight is a measure of the force with which an object is being pulled towards the center of the Earth due to gravity.
This means that an astronaut would have the same mass on Earth as they would in space, but their weight would be different due to the varying gravitational field strength.
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is interference restricted to only some types of waves or does it occur for all types of waves?
Interference is not restricted to only some types of waves; it occurs for all types of waves.
Interference is a phenomenon that occurs when two or more waves meet in space and time. It results in the superposition of the waves, creating a new wave with a different amplitude, phase, and direction. Interference can occur for any type of wave, including electromagnetic waves (such as light and radio waves), sound waves, and water waves. In fact, interference is a fundamental property of wave behavior and is used in many applications, such as noise-canceling headphones, holography, and radio broadcasting. The interference of waves can be either constructive, where the amplitude of the resulting wave is increased, or destructive, where the amplitude of the resulting wave is decreased. The study of wave interference is an important part of physics and has practical applications in many fields.
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A frictionless 300 n sled is being pulled by two sled dogs. blanco pulls forward with a force of 110 n and red pulls forward with a force of 130 n. what is the net force acting on the sled?
The net force is 240 N.
We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as
R = F1 + F2 + ... + Fn
where R is force resultant (net force)
From the question above, we know that
F1 = 110 N
F2 = 130 N
The sled doesn't have friction force due to medium is frictionless.
Because the direction is the same, the force will add to each other.
R = F1 + F2
R = 110 + 130
R = 240 N
Hence, the net force is 240 N
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The angular resolution of a ground-based telescope is usually determined by:
For telescopes in general, ever since they were invented, it's the size of the objective lens (in the front) or mirror (in the back).
For the most hugest humongous telescopes, built in the past few decades, it's limited by the turbulence of the atmosphere. That's the main reason we started building the big ones on mountain tops and in deserts, and lately we've started putting them in Earth orbit, where they don't have to look through any air at all.
A wave is moving at 300m/s and has a frequency of 25Hz, what is the wavelength?
Answer:
12 metre
Explanation:
Wavelength = Velocity / Frequency
Wavelength = 300m/s / 25 Hz
Wavelength = 12 metre
If you drop a ball off a cliff, it starts out at 0 m/s. after 1 s, it will be traveling at about 10 m/s. if air resistance is removed, what will happen in 2 s?
The ball dropped of a cliff will have a final velocity of 19.6 m/s at 2s
The free fall formula and the procedure we will use is:
fv = g* t
Where:
fv = final velocityg = acceleration due to gravityt = time takenh = height traveledInformation of the problem:
g = 9.8 m/s².t = 2 svf = ?Applying final velocity formula we get:
fv = g* t
fv = 9.8 m/s² * 2 s
fv = 19.6 m/s
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
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The volume and shape of a solid could be changed by
Answer: The volume and shape of a solid could be changed by force.
Explanation: Solids can only change their shape by force, as when broken or cut.
Answer:
force
Explanation:
A ball accelerates uniformly at −2.00 m/s2.
If the ball was initially moving at 0.20 m/s and the ball travels for 7.00 s, then what was its final velocity?
−1.8 m/s
negative 1.8 meters per second
−13.8 m/s
negative 13.8 meters per second
−14.2 m/s
negative 14.2 meters per second
+13.8 m/s
The final velocity of the ball, given the data is –13.8 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the final velocityThe final velocity of the ball can be obtained as follow:
Acceleration (a) = −2 m/s² Initial velocity (u) = 0.2 m/sTime (t) = 7 sFinal velocity (v) = ?a = (v – u) / t
–2 = (v – 0.2) / 7
Cross multiply
v – 0.2 = –2 × 7
v – 0.2 = –14
Collect like terms
v = –14 + 0.2
v = –13.8 m/s
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at a location in europe, it is necessary to supply 1000 kw of 60-hz power. the only power sources available operate at 50 hz. it is decided to generate the power by means of a motor- generator set consisting of a synchronous motor driving a synchronous generator. how many poles should each of the two machines have in order to convert a 50-hz power to 60 hz?
The number of poles that the two machines should have in order to convert a 50-hz power to 60-hz is a 10 pole synchronous motor must be coupled to a 12-pole synchronous generator.
n = 120 f / P
n = Speed of synchronous machine
f = Frequency
P = Number of poles
For motor,
f = 50 Hz
n = 120 * 50 / Pm
For generator,
f = 60 Hz
n = 120 * 60 / Pg
To accomplish the frequency conversion, the speed of the motor and generator must be equal. So,
120 * 50 / Pm = 120 * 60 / Pg
Pg / Pm = 6 / 5
Pg / Pm = 12 / 10
Therefore, to accomplish the frequency conversion, a 10 pole synchronous motor must be coupled to a 12 pole synchronous generator.
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Lab : absorption and radiation by land and water
Answer:
Soil absorbs heat faster than sand, which absorbs heat faster than water. The air over Earth's surfaces absorbs heat from the materials of Earth.
Explanation:
Land surfaces absorb much more solar radiation than water. ... Water reflects most solar radiation that reaches its surface back to the atmosphere. Since land absorbs more solar radiation the land surface retains more heat as do the vegetation for energy. Thus, land surfaces warm more quickly than water.
Hope this helps! Thank you,
Soil absorbs heat faster than sand, which absorbs heat faster than water. The air over Earth's surfaces absorbs heat from the materials of Earth.
What is radiation on land?When solar radiation strikes the earth's surface, land surfaces absorb the energy differently than ocean surfaces. They both heat up and cool down at different speeds.
Water takes longer to heat than land, but once heated, it keeps its heat for a longer period of time.
Land surfaces absorb far more solar energy than water. The majority of solar energy that reaches the surface of the water is reflected back into the atmosphere.
Because land absorbs more solar radiation, the land surface retains more heat, as does vegetation. As a result, terrestrial surfaces warm faster than water.
Hence soil absorbs heat faster than sand, which absorbs heat faster than water. The air over Earth's surfaces absorbs heat from the materials of Earth.
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