how long (in s) does it take a child on a swing to complete one swing if her center of gravity is 5.53 m below the pivot?

If there is a unique solution to a system of linear equations, the pivot columns in the augmented matrix must be linearly independent.

In the context of solving a system of linear equations using the augmented matrix, the presence of pivot columns corresponds to the existence of leading 1's in the row echelon form or reduced row echelon form of the augmented matrix.

These leading 1's indicate the pivot positions in the matrix.

For a system of equations to have a unique solution, every variable in the system must be associated with a pivot column.

In other words, there must be a leading 1 in each column that corresponds to a variable. This ensures that each variable has a unique value assigned to it, resulting in a unique solution.

If the pivot columns were linearly dependent, it would indicate that one or more variables can be expressed as linear combinations of other variables. This would lead to multiple solutions or an infinite number of solutions, rather than a unique solution.

Therefore, to have a unique solution, the pivot columns in the augmented matrix must be linearly independent, ensuring that each variable is associated with a unique pivot column.

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Step 1:

The main answer is as follows:

The S-P interval (lag time) for the seismogram at the Maesters station at The Eyrie (EYR) is X seconds.

Step 2:

What is the duration of the S-P interval (lag time)?

Step 3:

The S-P interval, also known as the lag time, is the time difference between the arrival of the S-wave and the P-wave on a seismogram. The S-wave is a secondary wave that follows the primary P-wave in seismic events. By measuring the time interval between the arrival of these two waves, seismologists can estimate the distance between the seismic event and the recording station.

To determine the S-P interval, seismologists analyze the seismogram recorded at the Maesters station at The Eyrie (EYR). They identify the arrival times of the P-wave and the S-wave and calculate the time difference between them. This lag time provides valuable information about the distance of the earthquake from the station.

In this case, the specific value of the S-P interval is not provided, so it cannot be determined without additional information. The correct option can only be determined by referring to the specific seismogram or data associated with the seismic event.

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Answer:

Tech B

Explanation:

The control of electric actuators may be through through a two-wire or a five-wire circuit through the driver circuit by bidirectionally controlling via the motor wire polarity. The door position is determined by counting the actuator commutator pulses by the control module in the actuator with 2-wire, while the actuator with 5-wire uses potentiometer feedback.

The A/C ECU is the Air Condition Engine Control Unit.

Answer:

the vertical velocity is constant.

Explanation:

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; thus, the vertical velocity of a projectile changes. and the horizontal motion of a projectile is independent of its vertical motion.

The colors can be able to pass through if they have the same wavelength while the rest are absorbed.

Colors are transmitted through a material by the selective absorption, reflection, and transmission of light. Different colors of light have different wavelengths and frequencies, and different materials interact with light in different ways.

Some materials, such as a prism, can split light into its component colors, while others, such as a colored filter, can absorb certain colors and allow others to pass through.

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Answer:

B:O

Explanation:

As acceleration is the rate of change of velocity with time, if velocity is uniform, there will be no change in it and acceleration will be zero.

Answer:

i think its false

Explanation:

A zero acceleration is the fundamental characteristic of an object in equilibrium.

Answer:

True

Explanation:

If its moving at a constant velocity its acceleration is zero. An zero acceleration is the the fundamental characteristic of an object in equilibrium

Answer:

2

Explanation:

helium has 2 protons and 2 neutrons

I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Answer:

Total internal reflection

Answer:

i think it is newtons third law of motion but i'm not sure sorry.i just really need point i don't know the answer.

Explanation:

Answer:

Explanation:

operantly conditioned; positively reinforced

Answer:

Approximately \(7.2\; {\rm m\cdot s^{-1}}\) (rounded up), assuming that this circle is vertical and \(g = 9.81\; {\rm m\cdot s^{-2}}\).

Explanation:

Let \(v\) denote the tangential speed of the ball, and let \(r\) denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration \(a = (v^{2} / r)\). The net force on this ball would be \(F_{\text{net}} = m\, a = (m\, v^{2} / r)\).

The net force on this ball is also the vector sum of the tension \(T\) in the rope and the weight of the ball \(m\, g\):

\(F_{\text{net}} = (\text{weight}) + T\).

\(T = F_{\text{net}} - (\text{weight})\).

Note that:

\(\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|\).

In other words, the magnitude of tension \(T\) is at most equal to \(\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)\), which happens when weight and net force are in opposite directions.

When the speed of the ball is maximized, the magnitude of tension \(T\) would be at the largest possible value of \(130\; {\rm N}\). Rearrange the equation and solve for speed \(v\):

\(\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|\).

\(\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}\).

\(\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}\).

The correct answer is (d) virtual and r/2 from surface.

As the object moves along the optical axis and gets farther away from the spherical surface, the image formed by the surface will move closer to the surface. At a certain point, when the object is at infinity, the image will be formed at the focal point of the spherical surface, which is located at a distance of r/2 from the surface for a convex surface.

Since the image is formed behind the spherical surface, it is virtual. And since the image is located at a distance of r/2 from the surface, the correct option is (d) virtual and r/2 from surface.

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All components of the velocity vector are zero for t = 0, the particle is at rest for t = 0.

For what values of t is the particle at rest?

The position of a particle moving in the xy-plane is given by the parametric equations r = (3t) and v = (2t, 3t², 12t). To find for what values of t the particle is at rest, we need to find when the velocity vector (v) is equal to zero.

The velocity vector v is given by (2t, 3t², 12t). For the particle to be at rest, all components of the velocity vector must be equal to zero.

1. For the x-component (2t) to be zero: 2t = 0. Solving for t, we get t = 0.

2. For the y-component (3t²) to be zero: 3t² = 0. Solving for t, we get t = 0.

3. For the z-component (12t) to be zero: 12t = 0. Solving for t, we get t = 0.

Since all components of the velocity vector are zero for t = 0, the particle is at rest for t = 0.

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A stone above ground is 970 feet in 3 sec at t is 5.9 sec hits ground and velocity of the stone v=250 ft/s.

h = 975 feet

u = 10 feet per second

(A.) Heigh of the stone at t = 6second.

g = -32feet/sec²

t = 6 sec.

Since the stone is thrown vertically upward from some height X = 975 feet, so the total height will be

h = X + ut + 1/2at²

h = 975 + (10*6) + 1/2 x (-32) x (6²)

h = 459 feet

(B.) At what time did the stone hit the ground, that means height, h = 0.

0 = 975 + (10t) + (1/2)x (-32)x t²

16t² -10t -975 = 0

t=10±√-10²-4*16*(-975)/2*16

t=8.12 sec

t=-7.5 sec

time can't be negative, so at t = 8.125 sec stone hits the ground.

(C.) velocity when the stone hits the ground.

Using the energy conservation theorem,

Initial total energy =  Final total energy.

1/2mu²+mgh=1/2mv²+0

u²+2gh=v²

v²=10²+2*32*975

v=√10²+2*32*975

v=250 ft/sec

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Answer:

C. Law Of Conservation Of Mass

Explanation:

In this scenario, this would occur due and is explained by the Law of Conservation of Mass. This law basically states that the mass that exists during and after a chemical reaction must remain the same, assuming that the reaction is taking place in a closed environment where no loss of mass is occurring. This means that if the reaction is in a closed environment the mass should not change whatsoever even if it is not in the same form or substance as it was before the reaction occurred.

Work done to lift the stone of mass 5.9 kg is 28.91 J.

The work done through pressure is made of the displacement and the component of the carried-out force of the object inside the direction of displacement. whilst we push a block with a few pressure ' F ' the body movements with a few accelerations, paintings are carried out. paintings executed is written as W = F.

The paintings executed by using pressure are defined to be manufactured from the aspect of the force in the path of the displacement and the significance of this displacement. formula. work can be calculated by multiplying pressure and Distance within the course of force as follows. W = F × d.

Work is achieved whenever a pressure actions something over a distance. you can calculate the strength transferred, or work carried out, by multiplying the pressure via the space moved in the route of the pressure.

Calculation:-

mass = 5.9

g = 9.8 m/s

f = 0.5 m

work done = mgh

                   = 5.9 × 9.8 × 0.5 J

                  = 28.91 J

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Answer:

3520

Explanation: Force = Mass x Acceleration [∴ or F = ma]. Given values. mass, m = 1600 kg; initial velocity, u = 8 m/s; final velocity, v = 30 m/s; time taken, t = 10 s.

Answer:

x = 1474.9 [m]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces must be equal to the product of mass by acceleration.

We must understand that when forces are applied on the body, they tend to slow the body down to stop it.

So as the body continues to move to the left, it is slowing down. Therefore we must calculate this deceleration value using Newton's second law. We must perform a sum of forces on the x-axis equal to the product of mass by acceleration. With leftward movement as negative and rightward forces as positive.

ΣF = m*a

\(10 +12*sin(60)= - 6*a\\a = - 3.39[m/s^{2}]\)

Now using the following equation of kinematics, we can calculate the distance of the block, before stopping completely. The initial speed must be 100 [m/s].

\(v_{f}^{2} =v_{o}^{2}-2*a*x\)

where:

Vf = final velocity = 0 (the block stops)

Vo = initial velocity = 100 [m/s]

a = - 3.39 [m/s²]

x = displacement [m]

\(0 = 100^{2}-2*3.39*x\\x=\frac{10000}{2*3.39}\\x=1474.9[m]\)

Adults typically have a resting heart rate between 60 and 100 beats per minute. A lower resting heart rate typically indicates improved cardiovascular fitness and more effective cardiac function.

Depending on the individual, a typical resting heart rate ranges from 60 to 100 beats per minute. Your heart can pump more blood with each contraction when it is healthy and functioning at a lower resting heart rate since it doesn't have to work as hard to keep a regular beat.

Your heart rate changes throughout the day depending on your degree of activity and your mood. While sleep can lower heart rate, stress and activity can boost it. When sleeping, a typical heart rate is frequently between 40 and 50 beats per minute (bpm),

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Answer:

7.07 km

Explanation:

The 5 km N and then 5 km E will form two sides of a right triangle.  Use the Pythagorean Theorem to calculate the hypotenuse, x, which will be the person's displacement.

\(5^{2}\) + \(5^{2}\) = \(x^{2}\)

x = 7.07 km NE

The displacement is closest to 7.07 km. Displacement is the shortest distance between the two points.

Displacement is defined as the shortest distance between the two points. Distance is the horizontal length covered by the body. While displacement is the shortest distance between the two points.

Displacement is a vector quantity .its unit is m.

Two sides of a right triangle will be formed by the 5 km N and then the 5 km E.

AB is the displacement

BC is the displacement in east

CA is the displacement in west

The displacement is found as;

\(\rm H^2 = P^2 +B^2 \\\\ AB^2 = BC^2+CA^2 \\\\ AB=\sqrt{5^2+5^2} \\\\ AB=7.07\ kM\)

Hence the displacement is closest to 7.07 km.

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The reason that explains why such a propeller could not be installed on Manny's airplane is that Manny's airplane is likely not strong enough to withstand the forces caused by flying faster

A propeller is an object with a rotating hub and radiating blades pitched to form a helical spiral that, when rotated, applies linear thrust to a working fluid like water or air.

The propeller's function is to offer a means of propulsion so that the aircraft can move forward through the air. The propeller itself is made up of two or more interconnected blades that are fastened to the engine shaft by a central hub.

A propeller is a device that, when turned, moves you forward through a fluid. In this case, other aircraft have larger, more powerful propellers built into their designs. Manny's aircraft is not strong enough to withstand the forces of faster flight.

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To calculate the kinetic energy of the rolling can, we can use the formula:

Kinetic Energy (KE) = (1/2) * m * v²

Where:

KE is the kinetic energy in joules (J)

m is the mass of the can in kilograms (kg)

v is the velocity of the can in meters per second (m/s)

Given:

Mass of the can (m) = 520 g = 0.520 kg

Diameter of the can (d) = 5.5 cm

Radius of the can (r) = d/2 = 5.5 cm / 2 = 2.75 cm = 0.0275 m (converted to meters)

Velocity of the can (v) = 1.5 m/s

Now, let's calculate the kinetic energy using the given values:

KE = (1/2) * m * v²

  = (1/2) * 0.520 kg * (1.5 m/s)²

  = (1/2) * 0.520 kg * 2.25 m²/s²

  = 0.585 J

Therefore, the kinetic energy of the rolling can is approximately 0.585 joules (J).

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In one method of measuring backlash, a bar is attached to the driven shaft and a dial indicator measures its movement. this method must be adjusted to account for the flexion or bending of the bar.

It is because When using the bar method to measure backlash, a bar is attached to the driven shaft and a dial indicator measures its movement.

However, the bar may flex or bend due to its own weight or external forces, leading to inaccurate measurements of the backlash.

Therefore, to obtain accurate results, the method must be adjusted to account for the flexure or bending of the bar. This can be done by placing the bar in a support at some distance from the indicator or by using a more rigid and less flexible bar.

It is important to account for the flexure of the bar to ensure accurate measurements and proper functioning of the system.

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Answer:

light potential energy is converted into electrical potential energy.

Explanation:

A solar heat absorbs the light that creates pairs of electron - holes, these free charges when moving create a current, the light energy stored in the radiation is converted into electrical energy within the n-p junctions.

In summary, light potential energy is converted into electrical potential energy.

A force that resists motion of two surfaces that are touching is known as friction.

when attempting to slide an object across two surfaces, there is resistance. When "rough edges" interact at the molecular level, friction results: Every time there is friction, the direction of motion is reversed.

The force that opposes motion when the surface of one object rubs against the surface of another is known as friction.

opposing forces These comprise: Friction is a force that tries to stop two surfaces from slipping or sliding when they are in contact. The motion is countered by air resistance, which acts.

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Answer:

A) I_laser = 70.74 W/m²

B) I_bulb = 1.989 W/m²

C) it is not advisable to look at the laser beam directly.

Explanation:

We are given;

Power; P = 0.50 mW = 0.5 × 10^(-3) W

Diameter; d = 3 mm = 0.003 m

Radius; r = d/2 = 0.003/2 = 0.0015 m

A) Area of beam; A = πr²

A = 0.0015²π

Now, formula for average intensity is;

I = P/A

I = (0.5 × 10^(-3))/0.0015²π

I = 70.74 W/m²

B) We are told to find the intensity of a lightbulb producing 100-W.

Thus, P = 100 W

A light bulb is spherical in shape. Thus;

Area; A = 4πr²

We are told it's 2 m away.

Thus; r = 2 m

A = 4π(2)²

A = 16π

Thus, I = P/A = 100/16π

I = 1.989 W/m²

C) The intensity of the laser beam is far greater than that of the light bulb. Thus, it is not advisable to look at the laser beam directly.

This means that the point is not moving, so the tangential acceleration is zero (answer E).

The tangential acceleration of a point is the component of the acceleration vector that is tangent to the circular path at that point. In this case, the point is located 0.2 m from the center, so we need to use the formula for tangential acceleration:
at = rα
where at is the tangential acceleration, r is the distance from the center, and α is the angular acceleration. Since the problem does not provide information about the angular acceleration, we cannot calculate the tangential acceleration directly. However, we can use the fact that tangential acceleration and centripetal acceleration are related through the following equation:
ac = rω^2
where ac is the centripetal acceleration, r is the distance from the center, and ω is the angular velocity. Since we know that the point is moving in a circular path, we can assume that it has a constant angular velocity, which means that the centripetal acceleration is also constant. Therefore, we can use the above equation to find the centripetal acceleration and then convert it to tangential acceleration using the formula at = ac cosθ, where θ is the angle between the tangential and centripetal accelerations.
Substituting the given values, we get:
ac = (0.2 m)(ω^2)
Since we do not know the value of ω, we need to find it using the formula for acceleration:
a = rα = r(dω/dt)
where a is the linear acceleration, r is the distance from the center, and α is the angular acceleration. Since the point is moving in a circular path with a constant speed, its linear acceleration is zero. Therefore, we have:
0 = (0.2 m)(dω/dt)
Solving for ω, we get:
ω = 0 rad/s
This means that the point is not moving, so the tangential acceleration is zero (answer E).

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Answer:false

Explanation:

Answer:

The speed of light is approximately 299,792 kilometers per second. If the distance from Earth to the Moon is 386,400 kilometers, then it would take light about 1.28 seconds to travel from Earth to the Moon.

As a result, light would need to travel from Earth to the moon for around 1.29 seconds.

On average, our planet and its sizable natural satellite are separated by roughly 238,855 miles (384,400 kilometres). As a result, the total amount of moonlight we observe is 1.255 seconds old, and it takes around 2.51 seconds for light to travel from the Earth to the moon.

we can use the following formula:

time = distance / speed

First, we need to convert the distance from kilometers to meters:

386,400 km = 386,400,000 meters

Now, we can calculate the time it will take light to travel from Earth to the Moon:

time = 386,400,000 meters / 299,792,458 meters per second

time

≈ 1.29 seconds

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