In 1964, what was detected for the first time because of powerful x-rays?.

The solution to the differential equation is then:

x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t)

And the system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.

The force required to stretch a spring is directly proportional to the amount the spring is stretched. This relationship is known as Hooke’s Law. It can be expressed mathematically as:

F = -kx

Where F is the force applied to the spring, x is the displacement of the spring from its equilibrium position, and k is the spring constant.

For a mass-spring system under the influence of a damping force, the differential equation governing the system is:

m(d2x/dt2) + c(dx/dt) + kx = 0

where m is the mass of the object attached to the spring, c is the damping coefficient, and k is the spring constant.

The given force of 2 lb stretches the spring by 1 ft, so the spring constant is given by k = F/x = 2/1 = 2 lb/ft.

The 8-lb weight is released 4 in. above the equilibrium position, which is 0.25 ft. The initial displacement is therefore x(0) = 0.25 ft, and the initial velocity is v(0) = 0. The damping force is given by f_d = -3/2v. Using the values given, the differential equation for the system is:

m(d2x/dt2) + c(dx/dt) + kx = 0 (1)

The values of m, k, and c are given by

m = 8/g = 8/32.2 = 0.248 kg

k = 2/lb/ft * 0.4536 kg/lb * 0.3048 m/ft = 0.294 kg/sm = 0.248 kgc = 3/2

The equation of motion is then:

d2x/dt2 + 12.05dx/dt + 1.186x = 0 (2)

where we have substituted the values of m, c, and k into equation (1).

The characteristic equation is:

r2 + 12.05r + 1.186 = 0 (3)

Solving for the roots of the characteristic equation, we find:

r = (-12.05 ± √(12.052 - 4(1.186)))/2= -6.025 ± 2.181i

The roots are complex conjugates, so the solution to the differential equation can be written as:

x(t) = e⁽⁻⁶·⁰²⁵t⁾(C₁ cos(2.181t) + C₂ sin(2.181t)) (4)

The initial displacement and velocity are given by x(0) = 0.25 and v(0) = 0.

Substituting these values into equation (4) and taking the derivative, we get:

x(0) = C₁ = 0.25dx/dt|t=0 = -6.025

C₂ = 0

Solving for C₁ and C₂, we get:

C₁ = 0.25C2 = 0

The solution to the differential equation is then:

x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t) (5)

The system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.

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Answer:

The answer is a 11.25m/s

Answer:

25 J

Explanation:

KE = 1/2mv² = 1/2(50 kg)(1 m/s)² = 25 J

Balloon A is positively charged, and balloon C is negatively charged. If balloon A approaches balloon C, there will be an electrostatic force of attraction between them.

When two objects carry opposite charges, they exert an attractive force on each other. This force is known as the electrostatic force and follows Coulomb's law. According to Coulomb's law, the magnitude of the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this scenario, since balloon A is positively charged and balloon C is negatively charged, they have opposite charges. Therefore, the electrostatic force between them will be attractive. The magnitude of the force depends on the charges of the balloons and the distance between them. It is important to note that without specific information about the charges of the balloons and their distance, it is not possible to determine the exact magnitude of the force. To calculate the force, you would need the values of the charges and the distance between the balloons.

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16.92 meter far can the turtle travel in an hour.

What is the formula for Speed, Distance & Time?

Speed (or rate, r) is a scalar quantity that measures the distance travelled (d) over the change in time (Δt), represented by the equation r = d/Δt

Given, 12 mile in 19 hours so we require to convert in SI unit.

12 mile = 19312.1 meters

19 Hour = 68400 sec

Applying in formula, speed = Distance / Time

Distance / Time = 19312.1 / 68400 = 0.282 m/ sec ²

Speed = 0.282 m / sec ²

1 hour = 60 second

Putting the above value in the below formula

speed = Distance / Time

Distance = Speed x Time = 0.282 x 60 = 16.92 meter

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Answer:

The answer is Liquid C

Explanation:

Answer:

Liquid C

Explanation:

Edge2020. I got it right on there. Have a nice day... Please make brainliest if possible.

Answer:

A stronger force changes increases velocity more due to increased acceleration on the object if the mass is constant as compared to a weaker force.

Explanation:

Force affects how objects behave in terms of motion, direction, shape etc. When an object is in a state of rest, then force is applied, the object starts to move is a particular direction. Increase in the force applied will make the object to speed up which is to say the velocity will increase.

For example:

When a ball is kicked with a player with a force of 10 N the velocity of the ball is recorded to be 3 m/s. When the player is replaced with a kid the force on the ball is 2 N and its velocity is recorded to be 0.3 m/s.

Reasoning

Increased in force applied on an object increases its acceleration resulting to a higher velocity of the object.

F= m * a --------if  mass is constant , increased force will increase acceleration and speed up the object.

Answer:

16 miles (with the crazy number units given)

Explanation:

Find out how long it takes to swim across....use this time   times the flow rate to see how far downstream he travels.....before he goes over the dam!

 2 miles per second ???   VERY fast    ( that is 7200 mph)

8 miles / 2 miles/sec = 4 seconds to swim across

river flow is 4 miles per second <=======extremely fast!!

4 mi/sec * 4 s = 16 miles

The height of the balloon above the ground is 80 ft.

To determine the height of the balloon above the ground, we can use the concept of similar triangles.

Let's consider the triangle formed by the height of the balloon, the distance between the wires, and the distance from each wire to the point where the balloon is tethered.

Given:

Distance between the wires: a = 80 ft

Let's denote the height of the balloon as h and the distance from each wire to the tethering point as x.

By considering similar triangles, we can set up the following proportion:

h / x = (h + a) / (2x)

Cross-multiplying and simplifying, we have:

h(2x) = x(h + a)

2hx = hx + ax

hx = ax

x = a

Therefore, the distance from each wire to the tethering point (x) is equal to the distance between the wires (a).

Since the balloon is tethered at a height equal to the distance between the wires, we can conclude that the height of the balloon above the ground is also equal to the distance between the wires.

Therefore, the height of the balloon above the ground is 80 ft

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A cart moving at a constant speed of 25 m/s possesses 438 J of kinetic energy, and the mass of the car is 1.6 kg.

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object to accelerate it. We must put in the effort to apply force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

Definition: When an object is moving at a constant speed—that is, its speed does not change—we say it is moving at a constant speed. steady rate

Given:

KE = 500 J

v = 25 m/s

The formula for Kinetic Energy is given:

KE = ½ mv²

where: KE - Kinetic Energy

m - mass

v - velocity

Substituting the value of KE and v in the formula,

500 J = (½)(m)(25 m/s)²

m = (500 J)(2)/(25 m/s)²

m = 1.6 kg

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Answer:

El equilibrio térmico se alcanzará a los 152ºC.

Explanation:

Dado que un ladrillo de 2kg que se encuentra a 200º c, se sumerge en 5 kg de agua a 32º, para determinar a qué temperatura se alcanza el equilibrio térmico se debe realizar el siguiente cálculo:

2+5 = 7

(200 x 5 + 32 x 2) / 7 = X

1064 / 7 = X

152 = X

Por lo tanto, el equilibrio térmico se alcanzará a los 152ºC.

Answer:

10 m/s²

Explanation:

Since the body is falling freely from the rest, it will be having an acceleration equal to the acceleration due to gravity.

∴ Acceleration = g = 9.8 m/s². ≈ 10 m/s².

Answer:

10 m/s^2 I hope it helps u a lot

Answer:

Amur Leopard, Southeastern Russia, and northern china

Explanation:

Answer:

Amur Leopard    China/Russia

Hawks bill Turtle   live in Oceans

Answer:

AC motor........A

Explanation:

Plato, an AC motor is much simpler than a DC motor.  As alternating current passes through the coil, it becomes magnetized.  Since the current is alternating, the north and south ends keep switching.

Answer:

magnetic

Explanation:

PLATO

The concept of the pendulum is used in pendulum clocks to keep time. The pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity.

This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face.The mechanism of a pendulum clock is such that when the pendulum swings in one direction, it pushes a toothed wheel or gear, which in turn moves the other gears, causing the clock's hands to move forward.

When the pendulum swings back in the opposite direction, it again pushes the gear, causing the hands to move further forward. This cycle continues, with each swing of the pendulum causing the hands to move forward by a set amount. The length of the pendulum determines the rate at which the hands move forward, with longer pendulums causing the hands to move more slowly.

In a pendulum clock, the pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity. This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face. The pendulum clock is an improvement on the original verge escapement clocks, which were prone to errors due to the uneven force of the mainspring.The pendulum is a simple yet effective device that can keep accurate time. Its motion is governed by the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another.

When the pendulum is pulled to one side and released, it swings back and forth, converting potential energy into kinetic energy and back again. The period of the pendulum, or the time it takes to complete one full swing, is determined by the length of the pendulum and the force of gravity. By adjusting the length of the pendulum, the rate at which it swings can be altered, allowing it to keep accurate time.

To keep the pendulum clock running accurately, it needs to be adjusted periodically. This is done by altering the length of the pendulum, either by moving a weight up or down along the pendulum rod or by turning a screw at the bottom of the pendulum bob. This alters the period of the pendulum, which in turn changes the rate at which the clock runs.

The pendulum clock is a testament to the ingenuity of humanity. By using the simple yet effective concept of the pendulum, clockmakers were able to create accurate timepieces that revolutionized the way we keep time. Today, the pendulum clock may have been superseded by more advanced technologies, but its legacy lives on in the modern clocks and watches we use every day.

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Weight = mass x gravitational field

          = 6kg x 10N/kg

          = 60N

Weight = mass x gravitational field

          = 70kg x 10N/kg

          = 700N

the pivot will be at the man's foot

Anti-clockwise moment = Clockwise moment.

So, we can substitute, when we find the value of one of the moment - either clockwise or anti-clockwise.

man

Anti-clockwise moment = force x distance

                                      = 700N x 0.9

                                      = 630Nm

load

Anti-clockwise moment= 60x(0.9+0.3)

                                    = 60 x 1.2m

                                    =70Nm

total moment is 702Nm (630+70)

As a result, we now know the moment of the clockwise moment, enabling us to find the upward force.

Moment= force x distance

            = ?N    x 1.3m

702Nm  = ?N x 1.3

divide by 1.3 both side

540N =?N

Force is 540N

Hope this helps!

Answer:

Voltage, electric potential difference, electric pressure or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

The best images of the overall topology of Venus have been produced by radar imaging.

We only have a limited amount of information about the surface of Venus, mostly obtained through comprehensive radar monitoring of the planet by the Russian Venera landers.

Both facilities on Earth and space missions have been used to image the planet using radar.

In the early 1990s, the Magellan orbiter collected the most comprehensive radar imaging data during a 4-year span. The result is that we now have a thorough radar image of Venus's surface.

Magellan had a 100-meter resolution for fine detail.

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Answer:

Friction or tension

Explanation:

Friction stops an object from moving in the presence of force

Answer:

he correct answer is 7       3 10⁻⁹ s

Explanation:

The speed of light is constant, so we can use the uniform motion ratios

         v = x / t

         t = x / v

let's calculate

        t = 1 / 2.9972 10⁸8

       t = 3.336 10⁻⁹ s

the correct answer is 7       3 10⁻⁹ s

Answer:

3. When the number of turns, N is doubled, the strength of the electromagnet is also doubled

4. Doubling the voltage, doubles the strength of the electromagnet

5. The number of paper clips a 7.5 V battery would pick is approximately 28 paper clips

The number of paper clips a 7.5 V battery would pick is 59 paperclips

6. For the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick is approximately 7 paperclips

For the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick is 16 paperclips

Explanation:

3. The Magnetomotive Force, MMF = The Number of Turns on the Coil, N × The Current I Flowing in the Coil, I

∴ MMF = N × I

When the number of turns, N is doubled, the magnetomotive force, MMF is also doubled, and the strength of the electromagnet is doubled

4. Given that the voltage, V applied to the coil = The current, I flowing × The resistance, R of the coil, we have

V = I × R

Therefore, for a given constant resistance in the coil, doubling the voltage, doubles the current and therefore doubles the strength of the electromagnet

5. The average slope for the 25-coil electromagnet = (23 - 12)/(6 - 3) = 3.\(\bar 6\)

The number of paper clips a 7.5 V battery would pick = 12 + (7.5 - 3) × 11/3 = 28.5 paperclips  ≈ 28 paper clips

The average slope for the 50-coil electromagnet = (48 - 26)/(6 - 3) = 7.\(\bar 3\)

The number of paper clips a 7.5 V battery would pick = 26 + (7.5 - 3) × 22/3 = 59 paperclips

6. The slope calculated from a start point of approximately 0.4 V, is given as follows;

The slope for the 25-coil electromagnet = (12 - 6)/(3 - 0.4) = 30/13

Therefore, for the 25-coil electromagnet,  the average number of paper clips a 1 V battery would pick = 6 + (1 - 0.4) × 30/13) = 96/13 ≈ 7 paperclips

The slope for the 50-coil electromagnet = (26 - 13)/(3 - 0.4) = 5

Therefore, for the 50-coil electromagnet,  the average number of paper clips a 1 V battery would pick = 13 + (1 - 0.4) × 5 = 16 paperclips

3. When the number of revolutions, N, is twice, the electromagnet's strength is doubled as well.

4. Doubling the voltage doubles the electromagnet's strength.

5. The number of paper clips selected by a 7.5 V battery is 59.

6. For a 50-coil electromagnet, a 1 V battery would pull up around 7 paperclips on average. The average number of paper clips picked by a 1 V battery for a 50-coil electromagnet is 16 paperclips.

The magnetic field of an electromagnet is created by an electric current. Electromagnets are caused from conducting wire wriggled into a coil.

A magnetic field is created in the hole by a current passing through the wire.

The magnetic field production is increased by;

1) increasing the number of turns

2) increase the area of the loop

3) by moving the magnet faster

Answer for the following given options as follows;

3. When the number of revolutions, N, is twice, the electromagnet's strength is doubled as well. Because the no of coils in the circuit is directly proportional to the strength of electromagnet.

4. From the ohm's law principal doubling the voltage twice the current and hence the electromagnet's strength for a given constant resistance in the coil increases.

5. For the 25-coil electromagnet, the average slope is ;

\(\rm m_{avg}= \frac{23-12}{6-3} \\\\ m_{avg}= 3\)

The number of paper clips selected by a 7.5 V battery is;

\(\rm n = 12+ (7.5-+3)\times \frac{11}{3}\\\\n = 28.5\)

For the 50-coil electromagnet, the average slope;

\(\rm (m_{avg})_{50}= \frac{48-26}{6-3} \\\\\ \rm (m_{avg})_{50}= 7\)

The number of paper clips selected by a 7.5 V battery is;

\(\rm N = 26+(7.5-3) \times \frac{22}{3} \\\\ N= 59\)

The following is the slope determined from a starting position of around 0.4 V:

For the 25-coil electromagnet, the slope is;

\(\rm m_{25}=\frac{12-6}{3-0.4} \\\\\ m_{25}=\frac{6}{2.6} \\\\ m_{25}=\frac{30}{13}\)

As a result, the average number of paper clips a 1 V battery would choose for the 25-coil electromagnet is;

\(\rm N_{25}=6+ (1-0.4)\times \frac{30}{13} \\\\ N_{25}=\frac{96}{13} \\\\ N_{25}= 7 \ paperclip\)

For the 50-coil electromagnet, the slope is;

(26 - 13)/(3 - 0.4) = 5.

As a result, the average number of paper clips picked by a 1 V battery is;

\(\rm N'_{50}= 13+ (1-0.14)\times 5 \\\\ N'_{50}=16\)

Hence,the average number of paper clips picked by a 1 V battery for a 50-coil electromagnet is 16 paperclips.

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Answer:

Yes it would be a lunar eclipse here is an image that I found that might help but during a lunar eclipse when the moon is directly behind earth it will be a full moon

Explanation:

Answer:

3 benefits of a restrict afterwards a practice Brings essence rate back off and slows respiring Muscles return back to optimum motionless distance Prevents ancestry from combining in lower limits Cool down stretches are used to weaken courage rate and respiring rates afterwards exercise. It can help cause your soul rate back off to situated rate.

Explanation:

2 N Right

.. .. .. .. .. .. .. ..

Answer:

2 N Right

Explanation:

Net force = 5 - 3

= 2 N to the Right

Radii is a vital feature of the elements, and it can be useful in determining the characteristics of elements in various chemical and physical processes. The radii of atoms and ions of the same element differ due to their various charge and mass characteristics.

Atomic and ionic radii increase as you move down a group on the periodic table, and decrease as you move across a period from left to right due to increased nuclear charge, making the electrons closer to the nucleus. The size of an atom and ion also changes due to the number of electrons charge, and electronic configuration.In order of increasing radius, the arrangement of \(Ne, F-, O2-, Br-, Rb\) is given as follows:

\(Ne < F- < O2- < Br- < Rb+\)

Rb+ has the smallest radius due to its large nuclear charge and fewer electrons in the valence shell.

As a result, they are larger than Rb+. O2- has more electrons than Ne and is the largest among the given ions and atoms. It is important to note that in certain conditions, the trends in radii may not be valid because of hybridization and other factors. Nonetheless, this arrangement is valid for the given ions and atoms.

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The cylinders would have the most kinetic energy of motion when they are at the bottom of their trajectory, just before they hit the ground.

Trajectory is the path of an object or particle as it moves through space. It is determined by the object's initial velocity and the force acting on it, such as gravity. Trajectory can be used to describe the movement of a rocket, a ball, a wave, or any other object in motion. Trajectories are used to calculate the path of an object and the time it will take to reach its destination. In physics, trajectories are studied using the equations of motion and Newton's laws of motion. In engineering, they are used in the design of missiles, aircraft, and vehicles. Trajectories are also used in the design and construction of maps. In ballistics, trajectories are used to model and predict the behavior of a projectile, such as a bullet or missile, when fired. Trajectories can be calculated in two dimensions, three dimensions, or more, depending on the application.

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Answer:

B. 2K + Br2 + 2KBr

D. C + 02 → CO2

Explanation:

In balancing a chemical reaction, the number of atoms on both sides of the expression must be the same in order to obey the law of conservation of mass.

According to the law of conservation of mass, in a chemical reaction, matter is neither created nor destroyed.

 So, let us investigate:

                                                 Number of atoms

                            Reactants                                        Products

K                                  2                                                      2

Br                                 2                                                      2

C + 0₂ → CO₂

C                                1                                                        1

O₂                              2                                                      2

We see that for both equations, the number of atoms on both sides of the expression is the same.