Hi there!
We can solve for the time constant using the following:
[tex]\tau = RC[/tex]
τ = Time Constant (s)
R = Resistance (Ω)
C = Capacitance (F)
Simply plug in the values. Remember that:
4.7 μF = 4.7 * 10⁻ ⁶ F = 0.0000047 F
22kΩ = 22 * 10³ Ω= 22000Ω
Solve:
[tex]\tau = 0.0000047 * 22000 = \boxed{0.1034 s}[/tex]
Imagine that you are a circus performer riding a uni-cycle (forwards) across the stage. What is the direction of the angular velocity of the single wheel?
The direction of the angular velocity of the single wheel is the clockwise direction
Angular velocityThe angular velocity is the number of revolutions per second of the single wheel. It is given by ω = v/r where
v = linear speed of the wheel and r = radius of the wheel.Direction of the angular velocity of the single wheelSince the wheels moves forward and the velocity of the wheel is always tangential to the wheel causing it to move forward, its angular velocity is in the clockwise direction
So, the direction of the angular velocity of the single wheel is the clockwise direction
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The angular velocity is also known as the rotational velocity. The direction of the angular velocity of the single wheel is clockwise.
What is angular velocity?The angular velocity or rotational velocity, also known as the angular frequency vector, is a vector measure of rotation rate that relates to how fast an item spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.
[tex]\omega = \dfrac vr[/tex]
where v is the velocity and r is the radius.
The Direction of angular velocity is that the wheel goes forward and the velocity of the wheel is always tangential to the wheel, forcing it to move forward, therefore, the angular velocity is clockwise.
Hence, the direction of the angular velocity of the single wheel is clockwise.
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Velocity of an object of mass 5 kg increases from 3 m/s to 7 m/s on applying a force continuously for 2 s. Find out the force applied. If the duration for which force acts is extended to 5 s, what will be the velocity of the object then?
Answer:
Force=10N
Velocity=13m/s
Explanation:
Given,
Mass = 5kg
initial velocity=3m/s
Final velocity=7m/s
Time=2s
Now acceleration= v-u/t
=7-3/2
=4/2
=2m/s²
So, acceleration=2m/s²
Now,
F=ma
=5*2
=10N
A ball that has a mechanical energy of 65 J haas 10 j of kinetic energy. The ball has j of potential energy
Answer:
55 j
Explanation:
Mechanical energy = kinetic + potential
65 = 10 + P.E.
55 j = PE
A 1.2-kg hot iron sphere with heat capacity
576 J °C-1 is cooled by immersing it in a tank of
water (Fig g). (See the photo that I uploaded)The mass of the water is 3 kg and
its initial temperature is 12 °C. After 5 minutes,
both the iron sphere and the water reach a final
temperature of 15 °C.
(a) Find the energy gained by the water.
(b) Find the average rate of energy transfer from
the iron sphere to the water.
(c) What is the initial temperature of the iron
sphere?
Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:
A. The energy gained by the water is 37656 J
B. The average rate of energy transfer from
the iron sphere to the water is 125.52 J/s (Watts)
C. The initial temperature of the iron
sphere is 65.4° C
A. How to determine the heat gained Mass of water (M) = 3 Kg = 3 × 1000 = 3000 gInitial temperature (T₁) = 12 °C Final temperature (T₂) = 15 °Change in temperature (ΔT) = 15 – 12 = 3 °C Specific heat capacity (C) = 4.184 J/gºC Heat (Q) =?Q = MCΔT
Q = 3000 × 4.184 × 3
Q = 37656 J
B. How to determine the rate of energy transfer Heat (Q) = 37656 JTime (t) = 5 min = 5 × 60 = 300 sPower (P) =?Power = energy / time
Power = 37656 / 300
Power = 125.52 J/s (Watts)
C. How to determine the initial temperature of the iron Mass of iron (M) = 1.2 Kg = 1.2 × 1000 = 1200 gHeat capacity (C) = 576 J/ºC Heat (Q) = 37656 JTemperature (T) =?Q = CT
37656 = 576 × T
Divide both side by 576
T = 37656 / 576
T = 65.4° C
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explain why the age of the ocean floor bedrock increases as the distance from the mid-atlantic ridge increases?
Answer:
The age of the bedrock increases the further you get away from the mid atlantic ridge because it is at the ridge that the new bedrock is formed. At the Ridge, the diverging plates cause magma to rise up and harden, forming new bedrock. As this happens, the older bedrock is pushed outwards, further and further away from the Ridge.
Explanation:
Hope it helps.
The electrical loads in _____ circuits each have the same voltage drop, with equals the total applied voltage of the circuit.
Answer:
The electrical loads in parallel circuits each have the same voltage drop, with equals the total applied voltage of the circuit.
Explanation:
I did some research and the voltage drop across any branch of a parallel circuit is the same as the applied voltage.
A uniform rod of length l and mass m is pivoted around a line perpindicular to the rod at location l/3
Answer:
I for a rod about its center is I = M L^2 / 12
A = L (1/2 - 1/3) = L / 6 distance from middle to location L/3
A^2 = L^2 / 36
I = M L^2 (1/12 + 1/36) = M L^2 (4 / 36) = M L^2 / 9
I about given location by parallel axis theorem
A builder drops a brick from a height of 15 m above the ground. The gravitational field strength g is 10 N/ kg. What is the speed of the brick as it hits the ground?
The speed of the brick dropped by the builder as it hits the ground is 17.32m/s.
Given the data in the question;
Since the brick was initially at rest before it was dropped,
Initial Velocity; [tex]u = 0[/tex]Height from which it has dropped; [tex]h = 15m[/tex]Gravitational field strength; [tex]g = 10N/kg = 10 \frac{kg.m/s^2}{kg} = 10m/s^2[/tex]Final speed of brick as it hits the ground; [tex]v = \ ?[/tex]
Velocityvelocity is simply the same as the speed at which a particle or object moves. It is the rate of change of position of an object or particle with respect to time. As expressed in the Third Equation of Motion:
[tex]v^2 = u^2 + 2gh[/tex]
Where v is final velocity, u is initial velocity, h is its height or distance from ground and g is gravitational field strength.
To determine the speed of the brick as it hits the ground, we substitute our giving values into the expression above.
[tex]v^2 = u^2 + 2gh\\\\v^2 = 0 + ( 2\ *\ 10m/s^2\ *\ 15m)\\\\v^2 = 300m^2/s^2\\\\v = \sqrt{300m^2/s^2}\\ \\v = 17.32m/s[/tex]
Therefore, the speed of the brick dropped by the builder as it hits the ground is 17.32m/s.
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The driver of a pickup truck accelerated at a rate of -5 m/s2 in 2.0 seconds. What was his net change in velocity?
Explanation:
a= -5m/s^2 t=2s
a= v-u
-------
t
at=v-u
(-5x2)
= -10m/s
A 5.0-newton force could have perpendicular components of
Answer:
It can have many set of perpendicular component but the most important one is 3 AND 4
Explanation:
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If a satelite with a mass of 9 x 10^2 kg is placed in an orbit around a planet with a mass of 6 x 10^20 kg, at a speed of 17000 m/s, find the distance from the center of the planet to the satelite.
Hi there!
We can begin by deriving an equation for the orbital radius.
For an object orbiting the earth, it is experiencing a centripetal force due to the force of gravitation.
Recall Newton's Law of Universal Gravitation:
[tex]F_g = \frac{Gm_1m_2}{r^2}[/tex]
G = Gravitational Constant (6.67 × 10⁻¹¹ Nm²/kg²)
m = masses (kg)
r = radius (m)
This is equivalent to the satellite's centripetal force experienced:
[tex]F_c = \frac{m_sv^2}{r}[/tex]
[tex]m_s[/tex] = mass of satellite (kg)
v = velocity (m/s)
r = radius (m)
Set the two equal, and rearrange for the orbital radius of the satellite.
[tex]\frac{Gm_sm_p}{r^2} = \frac{m_sv^2}{r}\\\\\frac{Gm_p}{r} = v^2\\\\r = \frac{Gm_p}{v^2}[/tex]
Notice that the orbital radius of the satellite does NOT depend on the satellite's mass. (we canceled it out).
Now, plug in the given values.
[tex]r = \frac{(6.67\times 10^{-11})(6\times 10^{20})}{17000^2} = \boxed{138.478 m}[/tex]
7. Why are cooking pans made of aluminum? {Explain using the specific heat value of
aluminum} it conducts heat well high thermal energy
If you create an equilibrium mixture from f e 3 and s c n − ions, adding c l − ions will choose. Highlight_off because choose. Highlight_off
Since chloride ions are not part of the ionic equilibrium, addition of chloride ions will only increase the concentration of the anions in the solution.
What is ionic equilibrium?An ionic equilibrium is an equilibrium that exists between two or more ions in an aqueous solution.
The ionic equilibrium between iron (iii) ion and thiocyanate ions is given below:
[tex]Fe^{3+}\rightleftharpoons SC \: N^{-}[/tex]
From the principle of equilibrium, addition of either ions in the ionic equilibrium will alter equilibrium position to the left or right.
Addition of chloride ions, Cl- which is not a part of the ionic equilibrium will only increase the concentration of the anions in the solution.
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The chloride ions are not part of the ionic equilibrium, adding them to the solution will merely raise the concentration of anions.
What is equilibrium?When a chemical reaction does not convert all reactants to products, it reaches equilibrium. Many processes attain a state of balance, or dynamic equilibrium, in which both reactants and products are present.
The following is the ionic equilibrium between iron (III) ion+ and thiocyanate ions:
[tex]\rm Fe^{3+} \rightleftharpoons SC \ N^{-}[/tex]
The addition of either ion in the ionic equilibrium will shift the equilibrium position to the left or right, according to the principle of equilibrium.
The inclusion of chloride ions, Cl-, which are not components of the ionic equilibrium, increases the levels of anions in the solution.
Thus, the chloride ions are not part of the ionic equilibrium, adding them to the solution will merely raise the concentration of anions.
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what is the frequency of a light wave that has a wavelength of 0.039 m?
Answer:
Convert your wavelength into meters. Divide the speed of light, ~300,000,000 m/s, by the wavelength in m. This gives you the wave's frequency
Explanation:
Conduction is greater in solids .explain in your own words Why?
Explanation:
because conduction takes place in objects whose particles are close/touching each other therefore conduction happens in solid as liquid and gas paricles are not close to each other
At a distance of 1.0 A.U. The earth takes 1.0 year to travel around the sun how far away is a planet that takes 64 years ro go around the sun
Answer:
This is from another brainly question so I hope this helps :)
The earth takes 1 year to orbit the sun and is about 150, 000, 000km. Given that, use the rule of 3 to find your answer:
1 - 150, 000, 000
64 - x
(150, 000, 000 * 64) / 1= x
9, 600, 000, 000 / 1
9, 600, 000, 000 km.
A planet located 9, 600, 000, 000 km from the sun takes about 64 years to complete its orbit around the sun.
A weight of 200 n is hung from a spring with a spring constant of 2500 n/m and lowered slowly. How much will the spring stretch?
8n/m this is because 200×2500 all over 100 . 0's will cancile 0's living 200×2500×1 ,25 will go into 200 8 times ×1 =8n/m
The length by which the spring got stretched will be 0.08 m. The force is directly propotional to the distance by which the spring stretched.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
The given data in the problem is;
F is the spring force =200
K is the spring constant= 2500 N/m
x is the length by which spring got stretched =?
The stretch of the spring is found as;
[tex]\rm F=kx \\\\ x = \frac{F}{k} \\\\\ x= \frac{200}{2500} \\\\ x=0.08 \ m[/tex]
Hence the length by which the spring got stretched will be 0.08 m.
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Thunder is heard 7.2 seconds after a bolt of lightning is observed. if the speed of sound is 349 m/s, how far away did the lightning strike?
Answer:
2512.8 meters
Explanation:
s=d/t
by using speed formula
Which materials are good insulators? Select three options. Glass paper gold plastic silver.
Answer:
Plastic Glass and Paper
Explanation:
i just took the assignment
Glass, paper, and plastic are good insulators. The material that does not allow the flow of current through them is known as the insulators.
What are insulators?An electrical insulator is a substance that prevents electric current from flowing freely. The electrons in the insulator's atoms are closely bonded and cannot travel easily.
Other materials, such as semiconductors and conductors, carry electricity more easily. The characteristic that characterizes an insulator.
Gold and silver are good conductors of electricity. While glass, paper, and plastic are good insulators.
Hence glass, paper, and plastic are good insulators.
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Please Help Me!
A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.
The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.
What is image distance?This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.
To calculate the image distance, we use the formula below.
Formula:
1/f = 1/u+1/v........... Equation 1Where:
f = Focal length of the mirrorv = Image distanceu = object distanceFrom the question,
Given:
f = 0.45 mu = 0.25 mSubstitute these values into equation 1 and solve for the image distance
1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 mHence, The image distance is -0.56 m.
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What would happen if you placed a compass near an electromagnet when there is an electric current in the coil of the electromagnet? Why would this happen? What if you flipped the electromagnet around so the end that was closest to the compass is now farthest away?
Answer:
Here's the answer
Explanation:
since an electromagnet has a magnetic field, it will always follow the electromagnet.
11. Which of the following is a type of energy
that is not involved in the human body's
everyday processes?
A. mechanical energy
B. nuclear energy
C. thermal energy
D. chemical energy
Answer:
nuclear
Explanation:
A: a type of mechanical energy is kinetic, which comes from velocity/movement
C: people produce heat
D: converting food energy into usable energy within the body
Why wouldn’t you move during an earthquake?
Answer:
So you maybe don't fall, have something fall on you, and for a bunch of different reasons. EARFQUAKES are really dangrous.
Explanation:
Hope this helps you!
The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C
For an interior of a refrigerator has a surface area of 2. 6 m2, The power is is mathematically given as
P= 71.56W
What is the power?Generally, the equation for the Fourier's law is mathematically given as
H = ∆Q/∆t = k∙A∙∆T/∆x
Therefore
H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m
H= 58.18J/s
For The coefficient of performance(COP)
COP = Q/W = H/P
Therefore
COP = 279.95K/(306.45K - 279.95K)
COP = 10.564
In conclusion
P = H/COP
P= 58.18W / 0.813
P= 71.56W
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does a five pound ball weigh more or less 40000 miles above sea level
It would weigh less bc the higher you are the less gravity there is.
What is the direction of the normal contact force of the road on the wheels?
Tick one box.
Down
Left
Right
Up
The direction of the normal contact force of the road on the wheels is : ( B ) Left
Contact force
The contact force of the road on the wheels will act in a direction opposite to the movement of the wheel on the road. therefore as the wheel moves forward ( right ), the contact force will move backwards ( left ) of the direction of motion.
Hence we can conclude that the direction of the normal contact force of the road on the wheels is : ( B ) Left
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name one type of energy the washing machine wastes when spinning the clothes
Answer:
Electrical Energy
The Electricity Rotates the spinning part of Washing machine and It spinns clothes.
(What
pressure does water
exert at the bottom of
the container in the
Water
(1000 kg/m)
5m
adjoining figure?) (g
=9.8 m/s2)
Answer:
49,000 Pa
Explanation:
Pressure in liquid=depth x density x g
= 5 x 1000 x 9.8
= 49,000Pa
the earth exerts a gravitational force of 850N on John. What is Johns mass in kg
Answer:
86.73 kg
Explanation:
Remember that F=mg
Let's plugin our numbers
850N=m9.8m/s^2
850N=9.8m/s^2m
86.73=m
With a class 1 lever, does mechanical advantage increase or decrease as the fulcrum is moved closer to the load? Explain why.
Answer:
L1 F1 = L2 F2 explains balancing torques
F1 = load = counterclockwise torque
F2 = applied force - clockwise torque
L represents distances from fulcrum to the applied forces
F2 = F1 * (L1 / L2) (I)
MA mechanical advantage = (L2 / L1) load over applied force
We can rewrite equation (I) as
load force / applied force = applied distance / load distance
As the fulcrum is moved closer to the load L1 decreases and L2 increases which corresponds to an increase in MA