The charge on the capacitor in an LRC-series circuit is 2.8907 C.
The first time at which the charge on the capacitor is equal to zero is 0.1409s.
What is capacitor?The capacitor consists of two parallel plates used to store the charge when current flows through it, and provides energy when shuts off.
By the Kirchoff's second law,
Lq'' +Lq' +q/C =E(t)
Where, L =0.05h, R = 6 Ω, C = 0.005 f, E(t) = 0 V, q(0) = 4 C, and i(0) = 0 A.
Equations becomes q''+120q' +4000 =0
The auxiliary equation is m² +120m+4000 =0
Solving this quadratic equation, we have
m =-6± 20i
Then , q(t) = Ae^(-60t)cos 20t + Be^(-60t)sin 20t where, A and B are constants.
At t=0, q(0) =7 =A
and q'(t) = A [ -20e^(-60t)sin 20t - 60e^(-60t)cos 20t ] +B [ 20e^(-60t)cos 20t - 60e^(-60t)sin 20t ]
So, i(0)= q'(0) =0 =-60A +20 B
Putting the value of A=7 above, we have B =21.
So, q(t) = 7e^(-60t)cos 20t + 21e^(-60t)sin 20t
The charge on the capacitor at time t =0.015
q(0.015) = 2.8907 C
Thus the charge on capacitor is 2.8907 C.
q(t) = 7e^(-60t)cos 20t + 21e^(-60t)sin 20t =0
Solve for t, we get
e^(-60t)cos 20t + 3e^(-60t)sin 20t\
-1/3 = sin 20t /cos20t
t =1/20 arctan(-1/3)
As, arctan is defined within -90 to +90,
So, 20t = -0.3218 +π =2.8197
t =0.1409s
Thus the first time at which the charge is zero is 0.1409s.
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Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg and a radius of 1821 km.
How high would this material go on earth if it were ejected with the same speed as on Io? ( RE =6370km , mE=5.96×1024kg )
Include variations in gravitational acceleration
The material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.
What is will be the height of the material on earth?The height of the material on earth will be derived from the given values as follows:
Gravitational constant, G = 6.67 × 10⁻¹¹ m³/kgs²radius of Io, r = 1821000 mmass of Io, m = 8.93 × 10²² kgHeight of materials, H = 500000 macceleration due to gravity on Earth, g = 9.81 m/s²Tue acceleration due to gravity on Io, go is given as:
[tex]g_o = \frac{GM}{r^{2}}[/tex]
Substituting the values:
[tex]g_o= \frac{6.67×10^{-11}×8.93×10^{22}}{1821000^{2}}[/tex]
[tex]g_o = 1.796 m/s^{2}[/tex]
Height on earth, He and Height on Jupiter H is given as follows:
[tex]H_e = \frac{v^{2}}{2g}[/tex]
[tex]H = \frac{v^{2}}{2g_o}[/tex]
Taking ratio of the two heights and solving for height on earth, He:
[tex]H_e = H × \frac{g_o}{g}[/tex]
Substituting the values:
[tex]H_e = 500000 × \frac{1.796}{9.81} = 91539.245 m[/tex]
Therefore, the material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.
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A book weighing 1.2 kg stands on the table. We place our hand on the book with a force of 15.3 N. The reaction force of the table base to the book is: a) 12 N b) 15 N c) 22 N d) 27 N e) 33 N
Answer:
27 N
Explanation:
It will be the force of the book 1.2 kg * 9.81 m/s^2 PLUS the force of your hand 15.3 N ..... it will be in the OPPOSITE direction
1.2 * 9.81 + 15.3 = ~27.1 N
Air is a good medium for sound waves because it is
Answer:
air does not have a modulus of rigidity.
Explanation:
Since air is completely elastic medium, that is, it does not have a modulus of rigidity, therefore sound waves in air are longitudinal.
Which type of evidence was used to tie Ted Bundy to the murder of Lisa Levy?
Explanation:
identified by one of the Chi Omega survivors as the assailant, and hair and fiber evidence tied him to the Leach murder. His trial for the Florida attacks in June 1979 was the first-ever nationally televised trial in the United States.
A foul ball is hit straight up into the air with a speed of 25 m/s.
how long is it in the air?
Answer:
31.25 m
Explanation:
The foul ball experiences upward linear motion thus:
initial velocity(u) - 25m/s
final velocity(v) - 0m/s
velocity due to gravity - -10m/s2 (since the ball moves upwards)
Hence:
v2=u2+2(gs)
0=625+2(-10*s)
0=625-20s
-625=-20s
s=31.25m
Why do the other bulbs go dark when one bulb is removed in the series circuit but the other bulbs do not go dark when one bulb is removed in the parallel circuit?
Answer:
I think this
One bulb burning out in a series circuit breaks the circuit. In parallel circuits, each light has its own circuit, so all but one light could be burned out, and the last one will still function.
how to calculate the total input energy transfer
Answer:
i dont know
Explanation:
sorry i cant answer this question
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Answer:
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I'm alright and you
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Need help asap!!science foundations
A quartz crystal vibrates with a frequency of 33,621 Hz. What is the period of the crystal's motion?
______ ms
Answer:
.0297 ms
Explanation:
period = 1 / f = 1 / 33621 = .0000297 seconds= .0297 ms
what is the speed of light in air ?
[tex] \\ [/tex]
ty! ~
Answer:
the speed of light in air is about 299,000,000 and 3×10⁸ m/s
What did Hubble discover about the universe?
A. That it is expanding.
B. None of these
C. That it is smaller than previously thought.
D. That it is shrinking.
Answer:
A. That it is expanding.
HELP ASAP PLS!!!
when you see a full moon, what type of tides do you expect there to be?
Answer:
Spring High Tide
When the moon is full or new, the gravitational pull of the moon and sun are combined. At these times, the high tides are very high and the low tides are very low.
calculate how much charge passes through the LED in 1 hour if the current flowing in the circuit below is 350mA
Given the the current flowing in the circuit and the elapsed time, the charge that passes through the LED is 1260 Coulombs.
What is Current?Current is simply the rate of flow of charged particles i.e electrons caused by EMF or voltage.
If a charge passes through the cross-section of a conductor in a given time, the current I is expressed as;
I = Q/t
Where Q is the charge and t is time elapsed.
Given the data in the question;
Time elapsed t = 1hr = 3600sCurrent I = 350mA = 0.35ACharge Q = ?We substitute our given values into the expression above to determine the charge.
I = Q/t
Q = I × t
Q = 0.35A × 3600s
Q = 1260C
Therefore, given the the current flowing in the circuit and the elapsed time, the charge that passes through the LED is 1260 Coulombs.
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A 1200 kg car traveling at an unknown velocity has a rear-end collision with a 1600 kg car parked in the road. The cars lock bumpers and skid off together at 3.0 m/s. What was the velocity of the 1200 kg car right before the collision?
Answer:
Gotta be it
Explanation:
m1*v1 = m2*v2
1200*v1 = 1600*3
1200*v1 = 4800
v1 = 4800 / 1200
v1 = 4.0 m/s
• Kelley and Raul are moving a 95 kg desk to the right. If the coefficient of friction between the desk and the floor is 0.29, what is the force of friction that will oppose the motion of the desk?
f = μk.N (N = m.g)
f = 0.29 x 95 x 10
f = 275.5 N
Consider an object of mass 2kg at rest on a ramp with βs=0.5 and βk=0.4.
If the ramp angle is 60 degrees, how far can the object travel in the first 1 seconds?
The distance traveled by the object in the first 1 second is determined as 0.98 m.
Distance traveled by the objectThe distance traveled by the object is calculated as follows;
F - μkmgcosθ = ma
0 - μkmgcosθ = ma
- μkgcosθ = a
-(0.4)(9.8)cos60 = a
- 1.96 m/s² = a
s = ut + ¹/₂at²
s = 0(1) + ¹/₂(-1.96)(1)²
s = -0.98 m
|s| = 0.98 m
Thus, the distance traveled by the object in the first 1 second is determined as 0.98 m.
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10. Explain why a power plant doesn’t make electricity.
Answer: The power station converts stored chemical energy in the fuel to kinetic energy in the raised temperature of the steam that pushed a turbine to rotate the generator that makes electricity.
So chemical to thermal (kinetic) to thermal to kinetic to electrical. Then mostly to heat or movement.
Loads of losses, thermal, mostly.
Explanation: hopes this helps
In all of the power plants, electricity is generated by rotating turbine inside a magnetic field. That is why, power plant transfers mechanical energy into electric energy. That is why, it doesn’t make electricity.
What is power plants?
An industrial facility for the production of electricity is referred to as a power plant. In most cases, power plants are wired into a grid.
A revolving device called a generator, which transforms mechanical power into three-phase electric power, is found in many power plants. An electric current is produced by the movement of a conductor in relation to a magnetic field.
The majority of power plants throughout the world produce electricity by burning fossil fuels including coal, oil, and natural gas. Nuclear energy and the usage of renewable energy sources including solar, wind, geothermal, and hydroelectricity are examples of low-carbon power sources.
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What is specific heat capacity??
Specific heat capacity is the unit mass of a substance is defined as the amount of heat absorbed (kg) (J), when its temperature rises 1 K (or 1 ° C), and its units J / ( kg K) or J / happen. (Kg ° C).Hope it helps u
Stay safe, stay healthy and blessed.Have a good day !Thank you
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Answer:
The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).
A object moving in 3m radius circular path,
when it reaches the beginning point again, then
the displacement in m equals:
Answer:
0
Explanation:
Physically:
Beginning point means initial point so you're basically going into circles which means a displacement of zero.
Mathematically:
[tex]d = x _{f} - x _{i}[/tex]
We know
[tex]x _{f} =x _{i}[/tex]
So we get
[tex]d = x _{f} - x _{f}[/tex]
[tex]d = 0[/tex]
22.61 . (a) An insulating sphere with radius has a uniform
charge density P .The sphere is not centered at the origin but at
r->=b->.Show that the electric field inside the sphere is given by
E-> = P(r-> - b->)/3Eo
Answer:
f
Explanation:
Two satellites some distance apart exert a gravitational force on each other of 20 newtons (N). Each satellite has a mass of 300 kilograms (kg). If the satellites remained tho same
distance apart but each had a mass of 600 kg, what would the force of gravity between them be?
•5N
•10N
•40N
•80N
If the masses of the objects are both doubled to 600 kg each, the force between them will be 40N.
Newton's law of Universal GravitationThe Newton's law of universal gravitation states that, force of gravity between two objects is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
As such;
F = Km1m2/r^2
If the masses of the objects are doubled but the distance of separation remains the same, it follows that the force between the masses will also be doubled. Hence, if the masses of the objects are both doubled to 600 kg each, the force between them will be 40N.
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If the ball reaches the ground in 8 seconds and the velocity of the ball before it hits the ground is 78.4. What is its acceleration?
also please explain how if you can
Answer:
9.8 m / s^2
Explanation:
Assuming free fall====> there is no initial downward/upward velocity
Assuming metric units 78.4 m/s
vf = a t
78.4 = a (8) shows a = 9.8 m/s^2
When astronomers look at stars outside of our galaxy, they have noticed that the color of the stars appears to be shifted slightly to the red end of the visible spectrum; this means that the wavelength of the light coming from those distant stars is longer than expected. If this red shift is assumed to be caused by the relative motion of the stars, what does that tell us about their movement?
They are moving toward the Earth.
They are moving away from the Earth.
They are not moving relative to the Earth.
Both the Earth and the star are stationary.
Answer:
moving away
Explanation:
They are moving AWAY from earth making the wavelengths longer than what was emitted....this is called 'Red Shift'.... longer waves is a shift toward the RED end of the spectrum .. (ROY G BIV)
light frequency of 3.6 x 10^14 hz what is the wavelength
8.3×10 to the power minus 7
Explanation:
lambda equals velocity over frequency.
A planes average speed between two cities is 600 km/h. If the trip takes 2.5 hours ,how far does the plane fly?
What is the relationship between Earth’s revolution and seasons. What evidence can you provide to explain how Earth’s revolution determines the seasons?
Think!!!! Write Claim, Reasoning and add evidence.
Answer:
Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.
Explanation:
It's all about Earth's tilt!
Claim:- Many people believe that Earth is closer to the Sun in the summer and that is why it is hotter. And, likewise, they think Earth is farthest from the Sun in the winter.
Although this idea makes sense, it is incorrect.
It is true that Earth's orbit is not a perfect circle. It is a bit lop-sided. During part of the year, Earth is closer to the Sun than at other times. However, in the Northern Hemisphere, we are having winter when Earth is closest to the Sun and summer when it is farthest away! Compared with how far away the Sun is, this change in Earth's distance throughout the year does not make much difference to our weather.
There is a different reason for Earth's seasons.
Reasoning:- earth's axis is an imaginary pole going right through the center of Earth from "top" to "bottom." Earth spins around this pole, making one complete turn each day. That is why we have day and night, and why every part of Earth's surface gets some of each.
Earth has seasons because its axis doesn't stand up straight.
But what caused Earth to tilt?
Long, long ago, when Earth was young, it is thought that something big hit Earth and knocked it off-kilter. So instead of rotating with its axis straight up and down, it leans over a bit.
By the way, that big thing that hit Earth is called Theia. It also blasted a big hole in the surface. That big hit sent a huge amount of dust and rubble into orbit. Most scientists think that that rubble, in time, became our Moon.
As Earth orbits the Sun, its tilted axis always points in the same direction. So, throughout the year, different parts of Earth get the Sun’s direct rays.
Sometimes it is the North Pole tilting toward the Sun (around June) and sometimes it is the South Pole tilting toward the Sun (around December).
It is summer in June in the Northern Hemisphere because the Sun's rays hit that part of Earth more directly than at any other time of the year. It is winter in December in the Northern Hemisphere, because that is when it is the South Pole's turn to be tilted toward the Sun.
Earth's lopsided orbit
Evidence- Earth's perihelion (point closest to Sun) = 91,400,000 miles from Sun
Earth's aphelion (point farthest from Sun) = 94,500,000 miles from Sun
While that is a difference of over 3 million miles, relative to the entire distance, it isn’t much.
And, believe it or not, aphelion (when Earth is farthest from the Sun) occurs in July, and perihelion (when we are closest) occurs in January. For those of us who live in the Northern Hemisphere where it's summer in July and winter in January, that seems backwards, doesn't it? That just goes to prove that Earth's distance from the Sun is not the cause of the seasons.
Answer:
Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.
Hope it helps..
An object is being shot from a horizontal ground at an incline angle of 30 degree with respect to the ground at a speed of 52 m/s. Find the duration in seconds that the object is above the height of 14 m. Give your answer with one decimal place.
When an object is thrown at an angle from the horizontal, the path followed by the body is called the projectile motion. The duration in seconds that the object is above the height of 14 m is 4.698 s.
What is speed?Speed is the time rate at which velocity is changing.
Vertical speed component is
V₀y = 52sin 30°= 26 m/s
Given is the height h=14m
Using second equation of motion,
S=ut+ 1/2 at²
Substituting the values, we get
14 = 26t - 4.9t²
4.9t² - 26t +14 =0
Solving the quadratic equation, we get the time as
taking the positive sign, t =4.698 s
taking the negative sign , t = 0.6082 s
Thus, the duration in seconds that the object is above the height of 14 m is 4.698s.
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What controls how fast an object falls?
Answer:
gravity
Explanation:
as the earth rotates on an axis, it causes an effect known as centripetal acceleration with is an acceleration that pulls objects towards the center of the object. in planets, we call this Gravity
Answer:
See below
Explanation:
The initial downward velocity, the acceleration of gravity and air friction all play a part
A diverging lens with f = -33.5 cm is placed 14 cm behind converging lens with f = 20cm. where will an object at infinity be focused?
Answer:
Explanation:
Focal length of diverging lens,
fd= -33.5 cm
focal length of converging lens,
fc = 20 cm
Now let s is object distance and s' is image distance.
Now using lens formula for conversing lens
\frac1{f_c}=\frac1{s}+\frac1{s'}
f
c
1
=
s
1
+
s
′
1
Putting all values(object is at s=infinity)
Then image distance
\frac1{s'}= \frac1{f_c}- \frac1{s}
s
′
1
=
f
c
1
−
s
1
=\frac1{20}- \frac1{\infin}=
20
1
−
∞
1
s'=20cms
′
=20cm
Now using lens formula for diversing lens
s''=14-20=-6cm
Using lens formula
\frac{1}{-33.5} = \frac{1}{-6 }+ \frac{1}{s''' }\\s'''=\frac{(6)\times(-33.5)}{(-33.5+6)}\\s'''=\frac{(-201) }{(-27.5) }
−33.5
1
=
−6
1
+
s
′′′
1
s
′′′
=
(−33.5+6)
(6)×(−33.5)
s
′′′
=
(−27.5)
(−201)
image distance for diverging lens
s''' = 7.3 cm (behind the diverging lens)
A diverging lens with f = -33.5 cm is placed 14 cm behind converging lens with f = 20cm. image distance for diverging lens, s''' = 7.3 cm (behind the diverging lens)
what are the type of lens ?When a lens in the path of a beam of parallel rays causes the rays to diverge after refraction, it is referred to as a diverging lens.
It always creates a virtual image and has a thinner core than its boundaries.
Concave lenses(diverging lenses) function as diverging lenses because they cause light rays to diverge as they pass through them.
Therefore, when used with air as the operating medium, a concave lens can be thought of as a diverging lens.
The concave lens has several applications, including in telescopes, cameras, lasers, glasses, binoculars, and other optical devices.
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