When a capacitor has acquired 1/4 of its maximum charge, the current will be at 3/4 of its initial value.
As a capacitor charges, the current flowing through the circuit decreases. When the capacitor has reached 1/4 of its maximum charge, it means that 75% of its charging process is still remaining. At this point, the current flowing through the circuit will be at 3/4 of its initial value, since the current is directly related to the remaining charge to be stored in the capacitor.
This relationship between the current and the charge on the capacitor can be represented mathematically using the formula:
I(t) = I₀ * e^(-t/RC)
where I(t) is current at time t, I₀ is the initial current, R is the resistance in the circuit, C is the capacitance of the capacitor, and e is the base of the natural logarithm (approximately 2.718). By solving for the time t when the charge Q(t) is at 1/4 of its maximum charge (Qmax), you can find the current I(t) at that specific moment.
To know more about a capacitor, click here;
https://brainly.com/question/17176550
#SPJ11
I need help with this. Lab: Conservation of Linear Momentum
Assignment: Lab Report Urgent!!
A series circuit has capacitor 1 x 10^-5 farad, inductor 0.2 henry, and resistor 300 ohms. There is no applied voltage. (a) Find the charge in the circuit if the initial charge on the capacitor is 1 x 10^-6 coulomb and the initial current is 0. (b) Find the steady state charge. (c) Find the current. (d) Find the charge at any time t if the applied voltage is 36 volts.
(a) The charge in the circuit, with an initial charge on the capacitor of 1 x 10^-6 coulomb and an initial current of 0, can be calculated using the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage. In this case, since there is no applied voltage, the charge in the circuit remains the same as the initial charge on the capacitor: 1 x 10^-6 coulomb.
(b) The steady state charge in the circuit can be determined by analyzing the behavior of a series circuit with a capacitor, inductor, and resistor. In a steady state, the capacitor charges to its maximum value, and the inductor behaves as a short circuit, bypassing the current. Therefore, the steady state charge in the circuit will be zero coulomb.
(c) The current in the circuit can be found using Ohm's law, which states that current (I) is equal to voltage (V) divided by resistance (R). In this case, since there is no applied voltage, the current in the circuit will be zero amperes.
(d) If an applied voltage of 36 volts is introduced to the circuit, the charge at any time (t) can be calculated using the formula Q(t) = Q_max * (1 - e^(-t/RC)), where Q_max is the maximum charge on the capacitor, e is the base of the natural logarithm, t is the time, R is the resistance, and C is the capacitance. The charge will gradually increase towards its maximum value over time.
Learn more about inductor.
brainly.com/question/31503384
#SPJ11
A piece of iron has a density of 7.86 g/cm3 and a mass of 1.09 x 10^-1 kg. Calculate the volume of the piece of iron.
Si un metal tuviera la estructura cúbica simple, cómo
se muestra en la figura. Sí su peso atómico es de
70. 4 g/mol y el radio atómico es de 0. 126 nm. Determine la densidad
, The density of the metal with a simple cubic structure is approximately \(8.93 g/cm^3.\)
To determine the density of the metal with a simple cubic structure, we can use the following formula:
Density = (Atomic weight)/(Volume of the unit cell x Avogadro's number)
For a simple cubic structure, the volume of the unit cell can be calculated as:
The volume of unit cell = \(a^3\)
where a is the length of the edge of the cube.
In a simple cubic structure, the atoms touch along the edge of the cube. So, the edge length can be calculated as:
a = 2 x Atomic radius
Substituting the given values, we get:
a = 2 x 0.126 nm = 0.252 nm
The volume of the unit cell is:
Volume of unit cell = \(a^3\)= \((0.252 nm)^3\) = 0.016 \(nm^3\)
Now, we can substitute the values into the density formula:
Density = (70.4 g/mol)/(0.016 \(nm^3\) x 6.022 x \(10^23\)/mol)
Density = 8.93 \(g/cm^3\)
Therefore, the density of the metal with a simple cubic structure is approximately\(8.93 g/cm^3.\)
Learn more about simple cubic structure
https://brainly.com/question/30265593
#SPJ4
Translated Question: If a metal had the simple cubic structure, how is it shown in the figure. Yes its atomic weight is 70. 4 g/mol and the atomic radius is 0.126 nm. determine the density
In physics what do we use machines for
Answer:
hope it helps for you
Explanation:
A machine is an object or mechanical device that receives an input amount of work and transfers the energy to an output amount of work. For an ideal machine, the input work and output work are always the same. The six common simple machines are the lever, wheel and axle, pulley, inclined plane, wedge, and screw.
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
To know more about damping ratios, refer here:
https://brainly.com/question/31463018#
#SPJ11
A student examining a flashlight observes that it uses a traditional incandescent light bulb. The power rating of the bulb is 60 W, and the bulb is connected to 36 V. What is the current moving through the bulb?
The current moving through the traditional incandescent light bulb in the examined flashlight is 1.67A.
Electric PowerElectric power is simply the rate at which electrical energy is transferred by an electric circuit per unit time. It is equal to the voltage difference across the element multiplied by the current.
It can be expressed as;
P = V × I
Given the data in the question;
Power = 60WVotage V = 36VCurrent I = ?To determine the current moving through the bulb, we substitute our given values into the expression above.
P = V × I
60W = 36V × I
I = 60W / 36V
I = 1.67A
Therefore, the current moving through the light bulb is 1.67A.
Learn more about electric power here: https://brainly.com/question/19339003
Find the acceleration for a ball that starts from rest, rolls down a ramp, and gains a speed of 36 m/s in 3.4 s . Express your answer to two significant figures and include the appropriate units. a
10.6 m/s² is the acceleration for a ball that starts from rest, rolls down a ramp, and gains a speed of 36 m/s in 3.4 s.
Any object's acceleration is defined as the change in speed that occurs when time changes. Since acceleration is a vector concept, its magnitude and direction must be specified. The acceleration can be measured in m/sec², miles/sec², etc.
Any increase in speed in the positive direction would be a positive acceleration, any increase in the negative direction would be a negative acceleration, and any decrease in speed would be a decrease in acceleration. Acceleration is the increase in speed that an object exhibits or experiments in a certain amount of time. You have positive and negative acceleration depending on the negative and positive directions, for example, when using the vertical plane falling would be the negative direction and going up would be the positive direction.
The acceleration for the ball can be found using the equation:
acceleration = (final velocity - initial velocity) / time
Since the ball starts from rest, its initial velocity is 0 m/s. Therefore:
acceleration = (36 m/s - 0 m/s) / 3.4 s
acceleration = 10.6 m/s²
To two significant figures, the acceleration of the ball is 10.6 m/s².
Learn more about acceleration here
https://brainly.com/question/30660316
#SPJ11
Show that the form of Newton’s second law is invariant under the Galilean transformation. According to Newton’s second law, the net force acting on an object is equal to the product of its mass and acceleration. Newton’s second law of motion is given by following expression:
Newton’s second law of motion states that the force F acting on an object of mass m produces an acceleration a in the object, and is given by, F = ma. The law s invariant under Galilean transformation.
The Galilean transformation is a set of equations that describe the relationship between two reference frames that are in relative motion with constant velocity. It has no effect on the form of Newton’s second law because it only involves a change of coordinates and time, which do not affect the physical laws.
To see this, consider two reference frames S and S', where S' moves with constant velocity v with respect to S. Let an object of mass m be at rest in S, and let F be the net force acting on it in S. According to Newton’s second law in S, we have:
F = ma
Now, let us apply the Galilean transformation to the equation. The position of the object in S' is given by:
x' = x - vt
where x is the position of the object in S, and t is time. Taking the derivative of x' with respect to t, we get:
v' = dx'/dt
= dx/dt - v
= v - v
= 0
This means that the velocity of the object is the same in both reference frames. Similarly, the acceleration is also the same in both reference frames, since it is the derivative of velocity,
a' = dv'/dt = da/dt = a
Therefore, we can write Newton’s second law in S' as,
F' = ma'
where F' is the net force acting on the object in S'. Substituting a' = a, we get:
F' = ma
which is the same form as in S. Thus, we see that the form of Newton’s second law is invariant under the Galilean transformation.
To know more about Galilean transformation, here
brainly.com/question/29655824
#SPJ4
at what height above the ground must a body of mass 10 kg be situated in order to have potential energy possessed by another body of mass 10 kg moving with a velocity of 10 m per second
This body of mass 10 kg must be situated at a height of 5.10 meters.
How to calculate the height?In accordance with the law of conservation of energy, the potential energy possessed by a physical object at the top is equal to the kinetic energy possessed by a physical object at the ground:
PE = KE
mgh = ½mv²
2mgh = mv²
2gh = v²
h = v²/2g
Where:
P.E represents potential energy.K.E represents kinetic energy.m represents the mass.h represents the height.g is acceleration due to gravity.Note: Acceleration due to gravity is equal to 9.8 m/s².
Substituting the given parameters into the formula above, we have;
Height, h = 10²/2(9.8)
Height, h = 100/19.6
Height, h = 5.10 meters.
Read more on potential energy here: https://brainly.com/question/1242059
#SPJ1
Which of the following is a result of a limiting factor in an ecosystem?
a. A pond has only produced a small amount of algae, so the fish population is also small.
b. The weather was extra humid last summer and there were more mosquitos than ever before.
c. A farmer planted new grass and months later his animals looked healthier than they’ve looked in years.
d. This year, ticks are supposed to be worse than in previous years, with a huge number of them carrying Lyme Disease.
Answer:A - a pond has only produced a small amount of algae, so the fish population is also small. i’m pretty sure that’s correct.
Explanation: The amount of alage determines the size,or carrying capasity of the fish population,so it is a limiting factor.
Hope I could help!Brainlist?plz
Friends tell you that on a recent trip their average velocity was +20 m/s. Is it possible that at any time during their trip their velocity was -20 m/s? Explain, and give an example to justify your answer. PLEASE HELP
Answer: Yes. Please find the answer in the explanation.
Explanation:
Yes. Since velocity is a vector quantity, that is, it has both magnitude and direction.
If the displacements covered are not of the same direction, the velocity will not also of the same direction.
Take for instance, if the velocity in a positive is 40 m/s and velocity in the opposite direction is - 20 m/s . Then, the resultant velocity will be 40 - 20 = 20 m/s
Therefore, it is possible that at any time during their trip their velocity was -20 m/s.
Josh is designing a lab to separate a mixture of sulfur powder and iron filings. He looks at all the ways to separate a mixture but decides that one way would work the best on this mixture. What method should Josh use?
The method that Josh should use to separate a mixture of sulfur powder and iron filings is magnetic separation.
Magnetic Separation is a process that separates magnetic materials from non-magnetic materials. In this case, iron filings are magnetic, while sulfur powder is not. By using a magnet, Josh can easily separate the iron filings from the sulfur powder. To perform magnetic separation, Josh can place the mixture of sulfur powder and iron filings on a piece of filter paper and move a magnet underneath the paper. The iron filings will be attracted to the magnet and will stick to it, while the sulfur powder will remain on the filter paper. This method is effective because it is simple and does not require any chemicals or complex equipment. It is also a quick way to separate the two substances, which is important in a lab setting where time is limited. In summary, Josh should use magnetic separation to separate the mixture of sulfur powder and iron filings in his lab.
To learn more about Magnetic Separation click the link below
brainly.com/question/3106534
#SPJ4
What is the relationship between frequency and wavelength?
Answer:
Frequency and wavelength are inversely proportional to each other. The wave with the greatest frequency has the shortest wavelength. Twice the frequency means one-half the wavelength.
Explanation:
Question points)
At what number would the car on the roller coaster have the most potential energy? (Be sure to select the number, not just the cor
Options
A - 1
B - 2
C - 3
D - 4
E - 5m
At number 5 (choice E).
Search for 20°20'23.94"S, 150°38'29.14"E and zoom out to an eye
altitude of ~25 miles (also zoom far out to notice where you are in
the world). What type of sedimentary environment is this?
The coordinates 20°20'23.94"S, 150°38'29.14"E indicate a location near the coast of Queensland, Australia. From a zoomed-out view at an eye altitude of ~25 miles, the sedimentary environment in this area is likely a coastal or marine environment.
The given coordinates point to a location near the coast of Queensland, Australia. By zooming out to an eye altitude of approximately 25 miles, we can observe the broader geographic context and identify the type of sedimentary environment in the area.
Coastal and marine environments are known for their deposition of sedimentary materials. The presence of coastline and the proximity to the ocean suggest that the area experiences the influence of marine processes such as waves, tides, and sediment transport.
In coastal environments, sediments can range from fine-grained deposits like mud and silt to coarser materials such as sand and gravel. These sediments are often deposited along the shoreline, forming beaches, dunes, and sandbars. The action of waves and currents plays a significant role in shaping the coastal landscape and the sedimentary features present.
Additionally, the marine environment offers various sedimentary environments, including continental shelves, submarine canyons, and deep-sea basins. These areas can have different sediment types and processes, such as the accumulation of organic-rich sediments in shelf environments or the deposition of fine-grained sediments in deep-sea basins.
To learn more about sedimentary, Click Here: brainly.com/question/30889537
#SPJ11
What is 8.9yard in to mm
Answer:
8138.16
Explanation:
hope this helps
relate the changes in molecular motion of particles as they change from solid to liquid to gas
Answer: Here's your answer friend,
Explanation:
1.Solid to Liquid --When a solid is heated the particles gain energy and start to vibrate faster and faster. ... Although the particles are still loosely connected they are able to move around. At this point the solid is melting to form a liquid. The particles in the liquid are the same as in the solid but they have more energy.
2.Liquid to Gas--Vaporization occurs when a substance changes from a liquid to a gas. The molecules in a liquid are in constant motion while staying relatively close together due to intermolecular forces. When an increase in temperature occurs, the molecules' kinetic energy also increases.
As a young boy swings a yo-yo parallel to the ground and above his head, the yo-yo has a centripetal acceleration of 250 m/s2 . If the yo-yo’s string is 0.50 m long, what is the yo-yo’s tangential speed?
Centripetal acceleration ac is the acceleration experienced while in uniform circular motion. It always points toward the center of rotation. It is perpendicular to the linear velocity (tangential speed) v and has the magnitude:
\(a_c = \dfrac{v^2}{R}\)
Solving for v:
\(v = \sqrt{a_c R} = \sqrt{(250\;m/s^2)(0.50\;m)} = 5\sqrt{5}\;m/s \approx 11.18\;m/s\)
The yo-yo’s tangential speed 11.18 m/sec.
What is speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Centripetal acceleration ac is the acceleration experienced while in uniform circular motion. It always points toward the center of rotation. It is perpendicular to the linear velocity (tangential speed) v and has the magnitude:
\(a_{c} = v^2/r\)
Solving for v
\(v = \sqrt{a_{c}r }\) = 11.18 m/sec
The yo-yo’s tangential speed 11.18 m/sec.
To learn more about speed refer to the link:
brainly.com/question/28224010
#SPJ2
Write the relation between mass and weight of a body
Answer:
\(\text{Weight} = \text{Mass} \times \text{Gravitational acceleration}\)
Explanation:
Deceleration is ______ acceleration
a. positive
b. negative
c. zero
d. none of the above
Deceleration is the opposite of acceleration and refers to the slowing down of an object's speed. Therefore, the answer is b. negative.
When an object is decelerating, its acceleration is negative because it is moving in the opposite direction to its initial velocity. For example, when a car is moving forward and then applies the brakes, it starts to slow down. The acceleration of the car in this case is negative because it is moving in the opposite direction to its initial velocity, which was forward. Deceleration is an important concept in physics as it helps us understand how objects move and change their speed. It is also important in fields like engineering and transportation where deceleration rates need to be calculated to ensure the safety of people and equipment. In summary, deceleration is the negative acceleration of an object, which refers to the slowing down of its speed.
learn more about speed here
https://brainly.com/question/3370926
#SPJ11
What is the length of the y-component of the vector plotted below?
A. 1
B. 4
C. 2
D.3
Answer:
um .... D. D D D D D this should be it
neglecting air resistance, after a rock thrown straight up reaches the top of its path and then falls a short distance, its acceleration is group of answer choices more than at the top of its path. the same as at the top of its path. less than at the top of its path.
if a rock is thrown straight up and falls, then its acceleration is the same as at the top of its path and it is equal to g, the gravitational acceleration.
If an object is moving straight vertically, the acceleration is constant along its trajectory, either it moves upward or downward. It is the velocity that changes.
If the object is moving upward, the velocity decreases, until at the top position, the velocity is equal to zero. The acceleration is constant and it is equal to g, the gravitational acceleration.
v(t) = vo - gt
Where:
v(t) is the velocity at time t
vo is the initial velocity
If the object is moving downward, the velocity increases. Again, the acceleration is constant and it is equal to g, the gravitational acceleration.
v(t) = vo + gt
This situation is depicted on the attaches picture.
Hence, if a rock is thrown straight up and falls, then its acceleration is the same as at the top of its path and it is equal to g, the gravitational acceleration.
Learn more about acceleration here:
https://brainly.com/question/88039
#SPJ4
Which of these conditions would likely cause the tectonic plates of earth to stop moving?
Earth’s crust and mantle reach thermal equilibrium is the condition that cause the tectonic plates of earth to stop moving. The correct option is a.
What is tectonic plate?The hot magma flows in convection currents due to enormous pressure and heat inside the earth. These currents cause the tectonic plates that make up the earth's crust to move.
Tectonic plates are massive chunks of the Earth's crust and upper mantle. They are composed of oceanic and continental crust.
Earthquakes occur near mid-ocean ridges and large faults that mark the plate boundaries.
When the crust and mantle of the Earth reach thermal equilibrium, the tectonic plates of the Earth stop moving.
Thus, the correct option is a.
For more details regarding tectonic plates, visit:
https://brainly.com/question/16944828
#SPJ1
Your question seems incomplete, the missing options are:
a) Earth’s crust and mantle reach thermal equilibrium.b) Earth stops receiving energy from the Sunc) The temperature of the surface of Earth drops considerably.d) The amount of radiogenic heat released by the mantle multiplies.The recommended initial dose of mercaptopurine is 1.5 mg/kg/day p.o. the recommended daily dosage for a child weighing 44 lb is _______________
In conclusion, to calculate the recommended daily dosage of mercaptopurine for a child weighing 44 lb, we need to convert the weight to kilograms and then multiply it by the recommended initial dose. This results in a dosage of approximately 29.7 mg/day.
The recommended initial dose of mercaptopurine is 1.5 mg/kg/day p.o. To calculate the recommended daily dosage for a child weighing 44 lb, we need to convert the weight from pounds to kilograms.
First, we know that 1 lb is equal to approximately 0.45 kg. So, we can calculate the weight of the child in kilograms by multiplying 44 lb by 0.45 kg/lb.
44 lb * 0.45 kg/lb = 19.8 kg (rounded to one decimal place)
Now that we have the weight in kilograms, we can calculate the recommended daily dosage by multiplying the weight by the recommended initial dose of 1.5 mg/kg/day.
19.8 kg * 1.5 mg/kg/day = 29.7 mg/day (rounded to one decimal place)
Therefore, the recommended daily dosage for a child weighing 44 lb is approximately 29.7 mg/day.
In conclusion, to calculate the recommended daily dosage of mercaptopurine for a child weighing 44 lb, we need to convert the weight to kilograms and then multiply it by the recommended initial dose. This results in a dosage of approximately 29.7 mg/day.
To know more about mercaptopurine visit:
https://brainly.com/question/29843273
#SPJ11
1. The hydrogen balloons which are used to collect weather information from the atmosphere is made of plastic and never completely filled. Thus the pressure inside and outside are same. The balloon is filled with 150 litres of hydrogen, the air temperature is 27°C and the atmospheric pressure is 98 kPa. The balloon rises to a height where it radios back that the pressure is 30kPa and the temperature is - 33°C. i. What is the Kelvin temperature equivalent to 27°C and -33°C? (1 mark) ii. What is the volume of hydrogen at this height? (2 marks)
Answer:
Answer:- Volume of the balloon is 5.78 L.
Solution:- There are 0.24 moles of hydrogen gas in a balloon at 35 degree C and 1.05 atm pressure. It asks to calculate the volume of the balloon.
This problem is based on ideal gas law equation:
P = 1.05 atm, n = 0.24 mole, T = 35 + 273 = 308 K
R =
V = ?
The equation could be rearranged for the volume as:
Let's plug in the values and do the calculations to get the volume of the balloon:
V = 5.78 L
So, the volume of the gas balloon is 5.78 L.
Oven mitts reduce which type of thermal energy transfer when you take a hot
pan out of an oven?
A. Conduction
B. Translation
C. Convection
D. Radiation
Answer:
A) Conduction
Explanation:
The mitt keeps the heat from reaching your hand through conduction
Answer: A.conduction
Explanation: i got it right on my test!
Kiedy błyska blisko slyszymy krótki grzmot, kiedy daleko długi. Dlaczego ?
Answer:
it is becuase light travel faster then sound thus light come to us first
Explanation:
to dlatego, że światło podróżuje szybciej niż dźwięk, to światło dociera do nas jako pierwsze
A measurement of the hotness or coldness of an object can be defined by its... A. potential energy. B. magnetism. C. chemical potential. D. temperature.
Answer:D
Explanation: temperature is the measure of hotness and coldness of a body.
That minimum coefficient of static friction between the tyres and the road that will allow the car that will round safely.
Answer:
The answer is "\(0.13562748\)"
Explanation:
Please find the complete question in the attached file.
Using formula:
\(\bold{U_s=\frac{v^2}{rg}}\)
Given:
\(r=1.60 \times 10^2 \ m\\\\g=9.8\\\\v= 52.5\ \frac{km}{hr}= 14.583\ \frac{m}{s}\)
put the value into the above-given formula:
\(U_s= \frac{14.583^2}{160 \times 9.8}\)
\(= \frac{212.663889}{1568}\\\\=0.13562748\)