The oscillator's amplitude decreases with time at a time constant of five.
Given the information below:
0.368 as the amplitude fell by 36.8%.
10.0 seconds have passed.
To calculate the time constant's value:
Mathematically, the formula: gives the amplitude for damped harmonic motion.
[tex]X/X_{o} =e^{t/2r}[/tex]
t is the time.τ is the time constant.X is the instantaneous value of amplitude.[tex]X_{0}[/tex] is the initial value of amplitude.Substituting the given parameters into the formula, we have:
Time constant = 5
What is the amplitude of the oscillator?
The amplitude of oscillation is defined as distance from the mean or equilibrium position to either extreme. Oscillation is termed as one complete to and fro motion of the particle from its mean position.
What is meant by harmonic oscillation?
In classical mechanics, a harmonic oscillator is a system that, when displaced from it's equilibrium position, experiences a restoring force F proportional to the displacement x , where k is a positive constant.
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a rifle is fired straight up and the bullet leaves the rifle with an initial velocity magnitude of 630 m/s. after 5.00 s, the velocity is 580 m/s. at what rate is the bullet decelerated?
The rate at which the bullet decelerated is -10m/s²
Acceleration and decelerationThe formula for calculating the deceleration of an object is referred to as:
Deceleration = initial velocity-final velocity/time
Substitute the given parameters to have:
Deceleration = 580-630/5
Deceleration = -50/5
Deceleration = -10m/s²
Hence the rate at which the bullet decelerated is -10m/s²
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If h is the water's height, the volume of the water is v = r2h. we must find dv/dt. differentiating both sides of the equation gives the following. dv dt = r2
If h is the height of the water, then the volume of water is v = r2h. We get [tex]dv/dt[/tex] equal to 0.00994 m/min.
Here, radius = 8m
We have, [tex]V = \pir2h[/tex]
[tex]dV/dT= (\pir2) dh/dt[/tex]
[tex]dV/dT= (\pi82) dh/dt[/tex]
[tex]dV/dT= (\pi64) dh/dt[/tex]
Given [tex]dV/dT = 2[/tex]
Therefore, [tex]dh/dt = 2/(64\pi) = 0.00994 m/min[/tex]
From the definition = a by way of integrating the preliminary velocity, v(0), and the consistent acceleration, one might also find the velocity at a later time, t.
(value of acceleration) means the rate of change of significance of the speed with recognize to time. then again |
| approach the magnitude of the price of change in speed with recognize to time (i.e. the importance of acceleration).
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8. Paige dropped a ball out of a car while her friend Destiny was traveling at a velocity of 25
m/s. The ball underwent a deceleration of -2m/s² and rolled to a stop on the pavement. How
long did it take the ball to stop?
Answer:
I think it's 12.5s
Explanation:
Bare with me, because I just started physics, but I think I have the answer right... Hopefully.
starting with your knowns, we know velocity is 25 m/s from the problem. you also can figure out your acceleration, -2 m/s.
You're looking for the time it takes until the ball stops rolling. Your time is unknown.
Your equation would be a=v/t (acceleration being a, velocity being v, and time being t)
You have to solve for t giving you t=v/a
Now you have to fill in your numbers. t=25m/s divided by -2m/s^2
Your answer should end up as -12.5
You have to solve for your units, but since you're finding time it's pretty straightforward in knowing you're dealing with seconds.
Hope this helped... :) sorry if it didn't-
which is the movement of thermal energy from a region of higher temperature to a region of lower temperature?
The correct answer is convection.
Convection is the physical movement of material particles that transfers heat from a location of greater temperature to a region of lower temperature.
Convection is a heat-transfer process in which heat energy is transferred by the mass movement of fluid molecules, such as those found in gases and liquids. Under normal circumstances, gases and liquids are poor heat conductors, yet they are nonetheless capable of transferring heat.
Other than through diffusion, advection, or both, convection is the method used to transfer heat. Solids don't experience convection because the particles that make them up don't move.
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*2–20. determine the angle θ for connecting member a to the plate so that the resultant of f a fa and f b fb is directed along the positive x axis. also, what is the magnitude of the resultant force?
The magnitude of the resultant force is 10.40 KN.
The problem is based on the concept of concurrent coplanar forces. The value of the resultant forces in the vertical direction is to be equated to zero to calculate the value of the angle.
The summation of the forces in the horizontal direction will provide the value of the resultant force in the horizontal direction.
Concurrent coplanar forces these forces emerge from a common point. These forces work in a common plane. The resultant of these forces in a direction is the sum of the forces in that direction.
The resultant force for a coplanar concurrent unidirectional force system is expressed as,
F=F+F, +F
Here, F, F2, and F3 are the unidirectional concurrent coplanar forces and are the resultant of the forces.
The resultant force will be equal to the sum of the forces in the horizontal direction.
FR = (8 kN)sin +(6 kN) sin(40°)
Substitute 54.939 for.
FR = (8 kN) sin(54.93°) +(6 kN)sin (40°) = 10.40 KN
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Objects accelerate due to gravity as they fall. A basketball falling through a net would have the greatest amount of kinetic energy when the ball is _____. A still in the net B halfway to the floor C almost at the floor D a meter below the net
The greatest amount of kinetic energy of the ball is when the ball is almost at the floor.
According to the Law of Conservation of Energy, the total energy of a system is conserved.
The total energy includes the kinetic energy and potential energy.
Thus KE+PE = k(constant)
Therefore, when kinetic energy is maximum, the potential energy is minimum and vice versa.
When the ball is still in the net, it is at its highest point. So, its potential energy is maximum and kinetic energy is minimium.
When the ball is about to hit the ground, its potential energy becomes minimum and kinetic energy becomes maximum.
Thus, the greatest amount of kinetic energy of the ball is when the ball is almost at the floor.
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Can an object be charged negatively with the help of a positively charged object?.
Answer:
Sure...it can be
Explanation:
When a positively charged body is brought near the neutral body, the body is negatively charged through electrostatic induction.
• At contact, the negative charges of a body are attracted to the near end of that body hence neutralization.
• When the positively charged body is removed and the body is earthed, it remaims negatively charged.
[tex]{}[/tex]
. A 2 kg ball is thrown with an acceleration of 40 m/s². What is the
force exerted on the ball?
When a 2 kg ball is thrown with an acceleration of 40 m/s². The
force exerted on the ball is 80 N.
According to Newton's second law of motion
F = ma
where, F = force exerted on the object, m = mass of an object and a = acceleration of the object.
Here, m = 2 kg, a = 40 m/s². so, F = ?
Therefore, force (F) exerted on the ball = 40x2 = 80 N
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I just need an answer to question 3. Please explain how to solve it.
Displacement has to do with the change of position with time in a specified direction.
What is the displacement?The term displacement has to do with the change of position with time in a specified direction. Now let us proceed to solve the questions individually.
1) Displacement = x2 - x1 = 4.27 - 9.2 = -4.93 m
2) Velocity = displacement/ time = x2 - x1/t2 - t1 = 4.27 - 9.2/4.81 - 1.54
= -4.93 m/3.27 = -1.5 m/s
3) The average speed is obtained from;
9.2/1.54 + 4.27/4.81
= 5.97 + 9.08
= 15.05 m/s
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at what distance is an object if its parallax, as measured from either end of a 4723 km baseline, is 4''(arcsec)?
The position of an object changes when you move, and this is known as parallax. For instance, if you turn your head a little from side to side while looking at a nearby object, the object will appear to be moving back and forth.
Sit steady and look at an object while covering your right and left eyes alternately to observe parallax. As you do that, the object will appear to "bounce back and forth." We are able to calculate the distance to surrounding objects thanks to parallax. We frequently employ it in straightforward acts like taking up a pencil. Because stars are so far away, the angle by which their positions change is quite small—only a few hundredths of a degree. The change is so slight that astronomers employ an even smaller measurement of angle called an arc-second, which is equivalent to a sixty-fifth of a sixty-fifth of a degree. So, one arc-second is equal to 1/60x1/60 or 1/3600 of a degree.
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A cheetah is running at a speed of 18.0 m/s in a direction of 54° north of west. Find the components of the cheetah's velocity along the following directions.
(a) the velocity component due north
b) the velocity component due west
The velocity component due north of the cheetah is 14.56 m/s.
The velocity component due west is 10.58 m/s.
Component's of the cheetah's velocity
The component's of the cheetah's velocity is calculated as follows;
velocity component due northVy = V sinθ
Vy = 18 m/s x sin(54)
Vy = 14.56 m/s
velocity component due westVx = V cosθ
Vx = 18 m/s x cos(54)
Vx = 10.58 m/s
Thus, the velocity component due north of the cheetah is 14.56 m/s.
The velocity component due west is 10.58 m/s.
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Select the best answer for the question.
3. Aside from representing the circuit components and the way they're connected to each other, the electrical symbols used in schematic diagrams also represent the
OA. physical location of the circuit.
OB. functions of the circuit.
O C. size of the circuit.
OD. actual shapes of the circuit components.
The electrical symbols used in schematic diagrams also represent the physical location of the circuit.
What is schematic diagram in electrical?A schematic diagram is a basic, two-dimensional representation of an electrical system that shows the connectivity and operation of various electrical components.
A simplified drawing that uses symbols and lines to represent key information is called a schematic diagram. For instance, if you're taking the subway, you might see a "map" that shows all the stations along the route, but it won't show all the streets and structures you might pass.
Symbol used :The most typical symbols used in circuit diagramming are electrical symbols. In your circuit, amplifiers (represented by triangle shapes) boost the output signal. Your system's capacitors (parallel lines) store energy, whereas resistors (zigzag lines) lower current flow.
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kangaroos are strong jumpers and can leap over an object 1.8m high, calculate a kangaroo's minimum vertical speed when it leaves the ground
The kangaroo's minimum vertical speed when it leaves the ground is 5.94 m/s
Data obtained from the questionFrom the question given above, the following data were obtained:
Maximum height (h) = 1.8 mFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Initial velocity (u) =?How to determine the initial velocity of the kangarooThe inintial velocity of the kangaroo can be obtained as illustrated below:
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 1.8)
0 = u² – 35.28
Collect like terms
u² = 0 + 35.28
u² = 35.28
Take the square root of both side
u = √35.28
u = 5.94 m/s
Thus, the minimum vertical speed of the kangaroo when it leaves the ground is 5.94 m/s
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kepler's first law states that a planet moves around the sun in a(n) group of answer choices circle, with the sun at the center. elliptical orbit, with the sun at one focus. elliptical orbit, with the sun on the minor axis of the ellipse. elliptical orbit, with the sun at the center of the ellipse.
Kepler's first law states that a planet moves around the sun in an elliptical orbit, with the sun at one focus.
What are planets?Planets are large bodies in space which orbit round a star such as the Sun.
The Sun and the planets that orbit around it form the solar system.
The movement of the planets around the Sun is described as planetary motion.
Planetary motion is descried in Kepler's laws of Planetary motion.
The Kepler's laws of Planetary motion are given as follows:
every planet's orbit is an ellipse with the Sun at one focus.a line joining the Sun and a planet sweeps out equal areas in equal timesThe square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its orbit.In conclusion, planets orbit around a star.
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a stone is dropped from rest from the top of a tower 400 m high. at the same time another stone is thrown upwards from ground with speed 100ms-1. when and where they meet
With the help of Equations of Kinematics, we can say that, both the stones meet at a time t= 4 seconds and they meet at a height of 320 meters from the ground if the speed of the second stone was 100ms⁻¹.
How does a body in motion act under the influence of gravity?When the body is thrown upwards or downwards it is influenced by gravity and it accelerates and deaccelerates accordingly and its magnitude is equal to the Acceleration due to gravity (g).
Based on this concept, if the body is thrown upwards a = - g (deacceleration), and if the body is dropped downwards a = g(acceleration).
Here in this question, the stone thrown upwards will deaccelerate and the one dropped downwards will accelerate.
So, the Height of the tower=400 meters.
Let the distance traveled by the stone dropped downwards from the top be s₁ and the distance traveled by the stone thrown upwards from the bottom be s₂.
Let the initial velocity of stone dropped downwards be u₁ and the stone is thrown upwards be u₂.
Let the time at which they meet together be t.
Now, using the equation of kinematics,
s=ut+ 1/2gt²
Here, acceleration = a will be equal to the acceleration due to gravity g.
(Take g=10m/s²).
We can write,
s₁=u₁t+1/2 gt²
s₂=u₂t-1/2 gt²
We know that,
s₁+s₂= 400
So, substituting the values of s₁ and s₂
u₁t+1/2 gt² + u₂t-1/2 gt² = 400
As the stone was dropped from rest u₁=0
On further solving,
u₂t=400
Given, u₂= 100ms⁻¹
Hence, t=4 s
Now, s₂= 100(4)-1/2(10)(4²)
=400 - 80
= 320 m
The distance is 320 m from the ground.
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If a fisherman applies a horizontal force with magnitude 42.5 nn to the box and produces an acceleration of magnitude 3.60 m/s2m/s2, what is the mass of the box?
The mass of the box is 11.80N
CalculationF= 42.5
a=3.60 m/[tex]s^{2}[/tex]
m=?
F=ma
m=F/a = 42.5/3.60
m=11.80N
Concept of force.The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Which three notions of force are there?Thrust, which increases an object’s velocity; drag, which decreases an object’s velocity; and torque, which causes changes in an object’s rotational speed, are all concepts connected to force.
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If the equilibrium constant for a b c is 0.157, then the equilibrium constant for 2c 2a 2b is:__________
If the equilibrium constant for A + B = C is 0.157, then the equilibrium constant for 2C = 2A + 2B is 40.6.
What is Equilibrium Constant?
The equilibrium constant (K) of a chemical reaction is the relationship between the products and reactants when a chemical reaction reaches equilibrium. The equilibrium constant of concentration (Kc) of a chemical reaction at equilibrium is defined as the ratio of the concentration of products to the concentration of the reactants, each raised to their respective stoichiometric coefficients.
At equilibrium, Rate of the forward reaction = Rate of the backward reaction
Mathematically, it can be stated as:
[tex]r_f=r_b\\k_f\times \alpha\times [A]^a[B]^b=k_b\times \alpha\times [C]^c[D]^d[/tex]
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Arlo throws a rock down with speed 14 m/s from the top of a 30 m tall cliff. what is the rock's speed just as it hits the ground?
The rock's maximum speed just as it hits the ground is 28m/s.
Given that the initial speed of the rock is u = -14m/s. (speed taken as negative because the rock thrown down from the cliff)
The height of the tower is h=30m.
Taking height of the tower as origin, then final position of the rock is s= -h= -30m.
On applying the second equation of motion:
s= ut +¹/₂ at²
-30 = -14t+0.5×(-9.8)t²
4.9t²+14t-30=0
On Solving the equation we get, t=1.43s.
To calculate that final speed when rock hits the ground, we apply first equation of motion:
v=u+gt
v=-14+(-9.8)(1.43)
v=-28m/s.
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What would the shape of the graph be if a speed of 50.0 km/hr is maintained from
10 s to 20 s? I
Answer:
The graph would increase constantly as shown above until it reached 50m/s. At 10s, the graph would be flat at 50m/s until 20s.
Explanation:
What are some best practices for different exercises and sports performed:
at high altitude?
in hot weather?
in cold weather?
A neon lamp indicator draws a current of 0.5A. How many electrons are moving through the lamp per second? Charge on the electron= -1.6 x 10-¹⁹ C
The number of electrons is 1.9 * 10^20 electrons.
How many electrons move through it?We know that it is possible to obtain the charge that the electron carries by the use of the formula;
Q = It
Q = magnitude of charge
I = current
t = time taken
Now we have the charge as;
Q = 0.5 A * 60 s = 30 C
Given that;
Q = ne
Q = charge
n = number of electrons
e = magnitude of electronic charge
n = Q /e = 30 C / 1.6 x 10-¹⁹ C
n = 1.9 * 10^20 electrons
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you sit in a car that is moving at an average speed of 86.4 km/h. during the 3.3 s that you glance out the window, how far has the car traveled?
The distance travelled or how far the car has travelled in 3.3 second at constant speed of 86.4 km/h is 79.2 m.
What is speed?The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time. The average speed of an object over a period of time is calculated by dividing its distance traveled by the length of the interval. Velocity and speed are different concepts. Distance divided by time is the dimension of speed. The meter per second (m/s) is the metric unit used to measure speed.
Speed of car= 86.4 km/h
Since time is given in seconds, converting to km/h to m/s. For converting km/h to m/s, dividing the value given in km/h by 3.6
86.4 km/h= 86.4/3.6 m/s
= 24 m/s
Distance travelled= Velocity* Time
= 24 * 3.3
= 79.2 m
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All solenoids that operate on alternating current must have a(n) ____________________ coil.
Answer:
Shading coil
Explanation:
The shading coil prevents the solenoid vibrate
Hope this helps
if we break the acceleration of this missile into two components, in the vertical and horizontal direction, what statement correctly characterizes the source of the acceleration?
Both horizontal and vertical acceleration is produced by the jet engines. While it does contribute to vertical acceleration, gravity has no effect on horizontal acceleration.
What is acceleration?The term acceleration has to do with the change in the velocity with time. We know that velocity is a vector quantity hence we have to look at the magnitude and the direction of the quantity.
In the same vein, acceleration is a vector quantity. As such we could resolve it into the vertical and the horizontal directions just as we can do for velocity.
The true statement of the situation when we break the acceleration of this missile into two components, in the vertical and horizontal direction, is that; both horizontal and vertical acceleration is produced by the jet engines. While it does contribute to vertical acceleration, gravity has no effect on horizontal acceleration.
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If you pipetted 20.00ml of a liquid into a pre weighted beaker and determined that this liquid had a mass of 34.719 what is its density?
Density of liquid is ρ = 1.735 [tex]g/cm^{3}[/tex].
What is Density ?Density of liquid is determined by using formula
ρ = m/v
ρ = 34.719/20
ρ = 1.735 [tex]g/cm^{3}[/tex]
It is possible to measure a material's density by how closely it is packed. The mass per unit volume is how it is formally defined. Density Symbol: ρ or ρ = m/V, where ρ stands for density, m for mass, and V for volume.
The amount of "stuff" that is contained in a certain amount of space is measured by density. In comparison to the softer, lighter element gold, a block of the heavier element lead (Pb) will have a higher density (Au). Less dense than a brick is a block of Styrofoam. Mass per unit volume is how it is referred to.
Both absolute and relative densities are common; they are the two forms of density.
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hich statement about niels bohr’s atomic model is true? higher orbits have lower energies. each orbit has a specific energy level. electrons can exist in any energy level. orbits close to the nucleus have no energy.
Every type of orbit has a specific energy level is the statement of Niels Bohr’s atomic model that is true in this context related as to the atomic model.
What does the Bohr atomic model state?According to the Bohr model, electrons orbit the nucleus at constant energies. Higher energy levels are also present in all orbits that are farther from the nucleus.
Here in, the Light is released as energy when any kind of electrons drop to a kind of lower energy level.
A known, the five elements are created by incredibly tiny particles called atoms when John Dalton first proposed the atomic hypothesis.
Atoms of various elements have different kinds of sizes, masses, and physical-chemical properties, which cannot be possibly separated.
Niels Bohr has further also developed a model that was totally focused on the quantum paradigm in response to this hypothesis.
Exactly what orbit has the most energy?The orbits that have the maximum orbital energy can be seen as 7s,5f,6d,7p.
Since every electron has kind of the same amount of charge, repulsion is what makes these electrons to stay as far apart as possible.
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the pressure in the mesosphere is so low that a person could not be in this layer without a spacesuit. question 13 options: true false
This statement is True that the pressure in the mesosphere is so low that a person will not be able to sustain in this layer without a spacesuit.
The mesosphere may be defined as the region in the earth's atmosphere which lies above the stratosphere and below the thermosphere. It has a very low temperature and pressure. The top of the mesosphere is the coldest part of Earth's atmosphere.
This layer is the highest layer of the Earth's atmosphere wherein all the gases of the atmosphere get mixed up rather than being layered in the atmosphere according to their masses. The pressure in the Mesosphere is very low the reason that it is very highly situated, and all the amount of air mass lies below this layer.
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An analog voltage is in the range 0v to 5v. if it can be measured with an accuracy of /- 50mv (100 mv steps), at most how many bits of information does it convey/represent?
The correct answer is 5.64.
Since the analogue signal is divided every 100 mV for accuracy of 50 mV, we have 50 discrete observations from 0 to 5V. Thus
It's given that the accuracy is +/- 50mV. This essentially means that the length of interval of permissible accuracy is 100mV.
Now, it's given that the analog voltage range is 0-5 V. So, the number of discrete points in 0-5V will be as follows:
50V/100mV.
Upon solving, it comes out to be 50.
The number of bits is defined by the formula log_2n, where n is the number of discrete points.
In this case, n = 50. Putting the value in the formula,
No of bits = log_2 50
Upon solving,
No of bits = 5.64
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Ice is melting a.conclusion b.observation c.experimentation d.inference
Answer:
b. Observation
Explanation:
You see ice melt in an experiment, so you record that as one of your observations.
calculate the magnitude of the electric field (in n/c) at 4 m from a point charge of 3.9 µc. you should round the answer to an integer, indicate only the number, do not include the unit. hint: 1µc
The magnitude of magnetic field is 2194 N/C
Given,
r = 4 m
Q = 3.9 µC
Q = 3.9 × 10⁻⁶ C
Let, the electric field is " E "
E = (k × Q/r²)
E = (9×10⁹×3.9×10⁻⁶/4²)
E = 2193.75 N/C
E = 2194 N/C
A magnetic discipline is a vector field that describes the magnetic affect on moving electric prices, electric powered currents, and magnetic substances. A shifting charge in a magnetic subject reviews a pressure perpendicular to its personal velocity and to the magnetic area.
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