a pen placed 25cm from a concave spherical mirror produces a real image 20cm from the mirror. what is the focal length of the mirror

Answer: the basic unit of a chemical element.

Explanation:

An atom is the smallest unit of ordinary matter that forms a chemical element. Every solid, liquid, gas, and plasma is composed of neutral or ionized atoms. Atoms are extremely small, typically around 100 picometers across.

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We need to calculate the work done by the person to slide the box across the floor. Let’s first calculate the work done when the person pushes with a 60.0 N force for the first 6.88 m. We can use the formula for work, W = Fd, where W is the work done, F is the force applied, and d is the distance over which the force is applied.

Therefore, the work done by the person when he pushes with a 60.0 N force for the first 6.88 m is 413.18 J.
Next, let’s calculate the work done when the person’s force decreases linearly from 60.0 N to 0.00 N across the remaining 6.88 m. We can use the formula for the average force, Favg, which is the average of the initial and final forces.

Finally, we can calculate the total work done by the person by adding the work done when he pushes with a 60.0 N force for the first 6.88 m and the work done when his force decreases linearly from 60.0 N to 0.00 N across the remaining 6.88 m.

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The idealised ammeter and the 3 ohm resistor are connected in series, and they both get the same current. As a result, 2.13 A is likewise the idealized ammeter's reading.

An perfect ammeter's internal resistance is zero, whereas an ideal voltmeter's internal resistance is infinite.

The following formula can be used to get the parallel resistors' equivalent resistance:

1/Req = 1/12 + 1/9

1/Req = 3/36 + 4/36

1/Req = 7/36

Req = 36/7 ≈ 5.14 ohms

Now that the circuit has the equivalent resistance, we can redisplay it:

The circuit's overall current is determined by:

I = V / (Rint + Req)

I = 18 / (3.26 + 5.14)

I ≈ 2.13 A.

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The graph showing F as a function of y shows that D, the cube will oscillate between y=0.05 m and y=0.09 m.

From the graph, the force exerted on the cube increases linearly as the cube is displaced upwards from its equilibrium position at y = 0.07 m. When the cube is displaced to y = 0.05 m, the net force is upward and greater than the weight of the cube. This causes the cube to accelerate upward.

As the cube moves upward, the force exerted by the water decreases until it is equal to the weight of the cube at y = 0.07 m. At this point, the net force on the cube is zero and the cube momentarily comes to rest. The cube then continues to move upward, but the force exerted by the water is now downward, causing the cube to slow down and eventually come to a stop at y = 0.09 m.

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The complete question is:

A 4.0 kg cube is placed in a container of water. A student observes that the cube floats while performing simple harmonic motion. The net force exerted on the cube F represents the sum of the force due to gravity and the force exerted on the cube by the water. A force probe is used to measure F as a function of the cube's distance y from the bottom of the container. The graph shows F as a function of y, where the positive direction is upward. Which of the following statements is correct about the motion of the cube if it is released from rest at a vertical position of y = 0.05 m?

A) The cube will have a constant upward acceleration of 2.0 m/s².

B) The cube will have a constant downward acceleration of 2.0 m/s²

C) The cube will travel upward with a changing. c acceleration until it comes to rest at a position of y= 0.07 m.

C) The cube will oscillate between y = 0.05 m and y = 0.09 m.

To solve a line cut by a transversal, use the properties of parallel lines, such as corresponding angles and alternate interior angles, to find the unknown angle measurements.

When a line is cut by a transversal, a number of simultaneous equations can be formed by using the properties of parallel lines. For example, the corresponding angles of the lines will always be equal, the alternate interior angles will be equal, and the consecutive interior angles will add up to 180 degrees. Using these properties, you can identify the unknown angle measurements. For example, if the measure of one of the corresponding angles is known, the measure of the other corresponding angle can be determined simply by using the fact that they are equal. Similarly, if one of the alternate interior angles is known, the other can be determined using the fact that they are equal. By forming these equations, you can solve for the unknown angle measurements.

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Answer:

The unit of potential difference generated between two points is called the Volt and is generally defined as being the potential difference dropped across a fixed resistance of one ohm with a current of one ampere flowing through it. In other words, 1 Volt equals 1 Ampere times 1 Ohm, or commonly V = I*R.

Explanation:

For example, the potential difference (voltage) across a resistor can be found by multiplying its resistance by the current flowing through it. The unit of voltage is the Volt (V). Current is measured in Amperes (A

It will take an additional 7.33 minutes for the cake to cool from 200 degrees F to 90 degrees F after the initial 10 minutes of cooling.

To calculate how much longer it will take for the cake to cool to 90 degrees F, we need to first determine the rate at which the cake is cooling. We can do this by calculating the temperature difference between the cake and the room and dividing it by the time it takes for that temperature difference to occur.
In this case, the temperature difference between the cake and the room is 280 degrees F (350-70=280) when the cake is removed from the oven. After 10 minutes, the temperature difference is 130 degrees F (200-70=130). Therefore, the cake is cooling at a rate of 15 degrees F per minute (280-130=150 degrees F in 10 minutes; 150/10=15).
To determine how much longer it will take for the cake to cool to 90 degrees F, we need to calculate the time it takes for the temperature to drop from 200 degrees F to 90 degrees F. This is a temperature difference of 110 degrees F (200-90=110), so it will take approximately 7.33 minutes (110/15=7.33) for the cake to cool from 200 degrees F to 90 degrees F.

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The Earth, Sun, and Moon systems create several patterns, including the day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses. These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it. Understanding these patterns is essential in comprehending the workings of the universe and the impact they have on our planet.

The Earth, Sun, and Moon systems create several patterns, including:

Day and Night cycle: The rotation of the Earth on its axis causes the alternating cycle of day and night as different parts of the planet face towards or away from the Sun.

Seasons: The tilt of the Earth's axis (23.5 degrees) causes the seasons to change as different parts of the planet receive varying amounts of sunlight throughout the year.

Lunar Phases: The Moon orbits the Earth, causing it to appear to change shape in the sky as different amounts of sunlight reflect off its surface.

Tides: The gravitational pull of the Moon and the Sun on the Earth's oceans creates a regular cycle of high and low tides.

Solar and Lunar Eclipses: The alignment of the Earth, Sun, and Moon can cause a shadow to be cast on one celestial body by another, resulting in either a solar or lunar eclipse.

These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it.

Therefore, The day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses are just a few of the patterns that the Earth, Sun, and Moon systems produce. Scientists have been analyzing and studying these patterns for centuries, and they have had a significant impact on how we view the cosmos and our place in it. Knowing these patterns is crucial to understanding how the cosmos functions and how they affect our world.

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When an object that transits a star absorbs some of the light from it and re-emits it, a new emission spectra is produced. In this case, the observer detected new emission lines and must determine the number and type of elements present. The transiting object observed in this spectra consists of three elements; Carbon, Nitrogen, and Oxygen.

The type of object causing the transit is referred to as a 'transiting exoplanet'. Scientists study exoplanets using the transit method, which entails measuring a star's light to detect transits. The transiting planet has to be the right distance away from its star for its transit to be detected. If the planet is too far away from its star, the transit will be too small to be detected. Similarly, if the planet is too close to its star, the transit will be too brief to be detected. When a planet transits a star, a small fraction of the star's light is blocked, causing the star to dim slightly. If the planet has an atmosphere, some of the star's light can pass through the atmosphere. When this occurs, specific wavelengths of light are absorbed by the atmosphere's elements and molecules, resulting in an absorption spectrum, which appears as dark lines. This is also the reason why the new emission lines are produced. Therefore, the observed spectra of the transiting planet is significant in studying the chemical composition of planets and understanding the conditions required for life as we know it.

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Its potential energies at O, A and B is related by  (B) UA - UB = U0 - UA.

When the pendulum bob is held at the horizontal position, it has the maximum potential energy, U0. As it falls, the potential energy decreases and the kinetic energy increases. When the bob is at position A, 30° away from the horizontal position, it has potential energy UA. As it continues to fall until the string is vertical, it has potential energy UB.

The difference between the potential energies at position O and position A is U0 - UA. The difference between the potential energies at position A and position B is UA - UB. Since the bob falls the same distance from position O to position A and from position A to position B, the difference in potential energy should be the same.

Therefore, U0 - UA = UA - UB.

Rearranging the equation gives us UA - UB = U0 - UA, which is answer choice (B).

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A force being applied to point B of a member, resulting in a normal strain in the cable. We need to determine the displacement of point B.

When a force is applied to a member, it can cause deformation or strain in the material. In this case, a normal strain of 0.00461 mm/mm is produced in the cable. The displacement of point B can be calculated using Hooke's Law, which states that strain is proportional to stress. The relationship between strain (ε), stress (σ), and Young's modulus (E) is given by the equation ε = σ/E. However, the specific value of Young's modulus for the cable material is not provided, so we cannot directly calculate the displacement of point B.

To determine the displacement, we need to know the original length (L) of the cable and its cross-sectional area (A). By multiplying the normal strain (ε) by the original length (L), we can find the change in length (∆L) of the cable. Then, multiplying ∆L by the cross-sectional area (A) will give us the displacement of point B. However, without the values of L and A, we cannot provide an exact calculation for the displacement.

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To calculate the number of turns required for the generator to produce a peak output voltage of vpk = 100, we can use the formula:

vpk = 4.44 * n * b * f * A

Where:
- vpk = peak output voltage (in volts)
- n = number of turns
- b = magnetic field strength (in teslas)
- f = frequency (in hertz)
- A = area of the loop (in square meters)

First, we need to convert the dimensions of the loop from centimeters to meters:
- Length = 10 cm = 0.1 m
- Width = 10 cm = 0.1 m
- Area (A) = Length x Width = 0.1 m x 0.1 m = 0.01 m^2

We are given that the magnetic field strength (b) is constant and has a magnitude of 0.2 T, and the frequency (f) is 60 Hz. We are also given that the peak output voltage (vpk) is 100 V.

Substituting these values into the formula, we get:
100 = 4.44 * n * 0.2 * 60 * 0.01

Simplifying and solving for n, we get:
n = 375 turns

Therefore, the generator needs to have 375 turns in its square loop in order to produce a peak output voltage of 100 V when the electric company experiences a loss of power.

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Explanation:

the magnitude of the resultant force =

√(68.9² + 85.4²)

=√(4,747.21 + 7,293.16)

=√12,040.37

= 109.7 N

»Sue's style feet (north) = 68.9N

»Jenny style feet (East) = 85.4N

So, the resultant force on the ball is

= √(68.9² + 85.4²)

= √(4,747.21 + 7,293.16)

= √(12,040.37)

≈ 109.72N✅

~Physics#2

The investigator must increase the current by a factor of 5 to keep the magnetic field strength constant when the distance is increased from 1.0 cm to 5.0 cm.

When a current flows through a wire, it produces a magnetic field around it. The strength of this field depends on the current and the distance from the wire. According to the inverse-square law, the magnetic field strength decreases as the distance from the wire increases.

For a long, straight wire carrying a current I, the magnetic field strength at a distance r from it can be calculated as follows:

B = μ0 I ÷ (2πr)

where μ0 is the permeability of free space, which is a constant.

If the magnetic field strength is to remain constant when the distance is increased from 1.0 cm to 5.0 cm, then we can set the two expressions for B equal to each other:

μ0 I ÷ (2πr₁) = μ0 (xI) ÷ (2πr₂)

where x is the factor by which the current must be increased.

Simplifying this expression, we get:

x = r₂ ÷ r₁ = 5.0 cm ÷ 1.0 cm = 5

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Answer:

C. Newton's Third Law

Explanation:

Newton's Third Law states that for every action, there is an equal and opposite reaction. In this case, the ball rolling towards the wall is the action, and the wall's reaction is to stop the ball. The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball, causing the ball to come to a stop.

Answer:

no

Explanation:

HIV transmits only during fluid interaction, only if she Heather had an cut exposing the inner skin then HIV can be transmitted

Answer:

proteins carbohydrates and fats

Explanation:

Answer:

Carbohydrates, Proteins, and Fats.

Two infinite sheets of current flow parallel to the y-z plane. The left-hand sheet, which intersects the x-axis at x = 0, consists of an infinite array of wires parallel to the z-axis with a density of n = 910 wires/m and current per wire of IL = 0.14 A in the +zdirection.

The right-hand sheet, which intersects the x-axis at x = a = 12 cm, is identical to the left-hand sheet, except that it has a current per wire of IR = 0.14 A in the -z-direction.

(a) Calculate the y-components of the net magnetic field in the following places:

x1 = -15 cm, x2 =6 cm, and x3 = 24 cm. (The x- and z-components of the B-field are zero.)

B(x1)y = T

B(x2)y = T

B(x3)y = T

Please check the attached file for a detailed answer.

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Light bends away from the normal when entering a higher index of refraction.

In physics, refraction is the change in direction produced by a wave's speed as it travels from one medium to another. Waves, for example, travel quicker in deep water than in shallow water. When an ocean wave approaches a beach obliquely, the portion of the wave farther from the beach moves quicker than the portion closer to the beach, causing the wave to swing around until it moves perpendicular to the shoreline. Sound waves travel faster in warm air than in frigid air. At night, the surface of a lake cools, and any sound that moves upward is refracted down by the higher layers of air that are still warm. As a result, sounds such as speech and music.

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The statement "voyager 2 should reach the nearest stars (besides the sun) in about 500 years" is false.

Voyager 2, launched in 1977, is currently traveling at a speed of about 34,000 miles per hour (54,700 kilometers per hour). At this speed, it would take tens of thousands of years for Voyager 2 to reach even the closest stars in our Milky Way galaxy, which are several light-years away.

The spacecraft's primary mission was to explore the outer planets of our solar system, and it is now on an interstellar trajectory, but its journey is primarily aimed at studying the space environment beyond our solar system rather than reaching specific stars.

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The maximum height above the roof reached by the rock is approximately 20.2 m.

To calculate the maximum height reached by the rock, we can analyze the projectile motion of the rock in two dimensions: horizontal and vertical.

1. Vertical Motion:

The initial vertical velocity of the rock is given by v[subscript iy] = v[subscript i] * sin(θ), where v[subscript i] is the magnitude of the initial velocity (30.0 m/s) and θ is the angle above the horizontal (32.0°). Using this, we find v[subscript iy] ≈ 16.0 m/s.

The time taken for the rock to reach its maximum height can be found using the equation: Δy = v[subscript iy] * t - (1/2) * g * t², where Δy is the vertical displacement (maximum height), t is the time, and g is the acceleration due to gravity (approximately 9.8 m/s²).

At the maximum height, the vertical velocity becomes zero. Therefore, we have v[subscript iy] - g * t = 0. Solving for t, we get t ≈ 1.63 s.

Substituting the value of t into the equation for Δy, we find Δy ≈ 16.0 * 1.63 - (1/2) * 9.8 * (1.63)² ≈ 20.2 m.

2. Horizontal Motion:

The horizontal displacement of the rock can be found using the equation: Δx = v[subscript ix] * t, where v[subscript ix] = v[subscript i] * cos(θ) is the initial horizontal velocity. Since we are interested in the maximum height above the roof, the horizontal displacement is not required for this calculation.

Therefore, the maximum height above the roof reached by the rock is approximately 20.2 m.

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Answer:

about 100,000 light years away

Explanation:

It's where our solar system is. Scientists gave it that name because it looks like someone spilled a glass of milk.

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The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.

The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.

Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

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Answer:

1.5024

Explanation:

Draw a diagram. Put the two cells in series. Now draw 3 resistors. Two of them equal 0.26 ohms each. The third one is the lightbulb which is 12 ohms.

R = 0.26 + 0.26 + 12 = 12.52

The bulb has a voltage of 2.88 volts across it. You can get the current from that.

i = E / R

i = 2.88 / 12 =

i = 0.24 amps.

Now you can get the voltage drop across the two cells.

E = ?

R = 0.26

i = 0.24 amps

E = 0.26 * 0.24

E = 0. 0624

Finally divide the 2.88 by 2 to get 1.44

Each cell has an emf of 1.44 + 0.0624 = 1.5024

Answer:

7.08

Explanation:

An L-C series circuit refers to an electrical circuit that consists of an inductor (L) and a capacitor (C) connected in series. We obtain the charge on the capacitor as a function of time:

\(q(t) = (1/C) * E0 * e^{-kt} * (1 - e^{-t/(LC)})\)

In this configuration, the inductor and capacitor share the same current flowing through them. The inductor (L) is a passive electronic component that stores energy in a magnetic field when current flows through it. It opposes changes in current, producing a voltage drop proportional to the rate of change of current.

The capacitor (C) is another passive component that stores energy in an electric field. It consists of two conductive plates separated by an insulating material (dielectric). The voltage across the capacitor is directly proportional to the amount of charge stored on its plates.

To determine the charge on the capacitor in an L-C series circuit using the Laplace transform, we can apply the Laplace transform to the governing equation of the circuit.

Given:

Initial conditions: q(0) = 0 (initial charge on the capacitor)

I (0) = 0 (initial current in the circuit)

Input voltage:

\(E(t) = E0e-kt\)

The governing equation for an L-C series circuit is:

\(L(di/dt) + (1/C)q = E(t)\)

Taking the Laplace transform of both sides of the equation, we get:

\(L(sI(s) - i(0)) + (1/C)Q(s) = E(s)\)

Substituting the initial conditions i(0) = 0 and q(0) = 0, we have:

\(L(sI(s)) + (1/C)Q(s) = E(s)\)

Rearranging the equation, we can solve for Q(s), the Laplace transform of the charge q(t) on the capacitor:

\(Q(s) = (1/C) * E(s) / (sL + 1/C)\)

To find q(t), we need to take the inverse Laplace transform of Q(s). However, since E(t) = E0e-kt is already given in the time domain, we can directly substitute it into the equation.

\(Q(s) = (1/C) * [E0 / (sL + 1/C)] * [1 / (s + k)]\)

Taking the inverse Laplace transform of Q(s), we obtain the charge on the capacitor as a function of time:

\(q(t) = (1/C) * E0 * e^{-kt} * (1 - e^{-t/(LC)})\)

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Answer:1.81

(a) Explanation:the turn ratio= input voltage÷output voltage.

400÷220=1.81.

Don't know how to solve b part...