What are the nature and focal length of a lens that will form a real image having one-third the dimensions of an object located 9cm from the lens​

Resultant force direction = 11.08 degrees counter-clockwise from the positive x-axis.

In order to address this issue, we must first divide these forces into their corresponding x and y components, which we must then combine to determine the final force.

Given the magnitude of force (F1) = 32kN

The angle of direction (θ1) = 30°

F1x = -32k x cos(30°) = -27.7kN

F1y = -32 x sin(30°) = -16kN

Given a triangle, let cos(θ) = 5/13 = 0.99 then θ = 67.3°

The magnitude of force F2 = 26kN

The angle of direction (θ2) = 0.99°

F2x = -26 x cos(67.3°) = 10.03kN

F2y = 26 x sin(67.3°) = 23.9kN

Frx = F1x + F2x = -37.73kN

Fry = F1y + F2y = 7.9kN

Let the resultant force = Fr then,

Fr^2 = Frx^2 + Fry^2

Fr^2 = (-37.73)^2 + (7.9)^2

Fr = √1423.55+62.41 = √1485.96 = 38.5kN

Hence the resultant force = 38.5kN

θ = tan^-1(Fry/Frx) = tan^-1(7.9/-37.73) = -11.08°

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The wheel's circumference is C = d = (0.7 m) = 2.2 m. The pebble travels 3C = 6.6 m in one second since it passes by three times every second. Hence, the stone moves at 6.6 m/s when v = d/t. Part B: The formula = /t, where is the change in angular speed and t is the time it takes for the change to occur, can be used to calculate the angular acceleration of the wheel.

What is an example of inertia?

Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.

What is a SI unit of inertia?

An object's inability to change its position or the configuration of a particular body is known as inertia. Kilo Gram is the SI unit of inertia since mass is a measure of inertia. If you require a unit of inertial moment, it is Kg m2.

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The energy necessary to ionize a ground-state hydrogen atom using the Bohr model is approximately 2.18 x 10⁻¹⁸ J.

What is energy?

Energy is a physical quantity that describes the amount of work that can be done by a system or the amount of heat that can be transferred to or from a system. It is a scalar quantity and has units of joules (J) in the SI system of units. Energy can take many forms, including kinetic energy, potential energy, thermal energy, and electromagnetic energy.

The energy required to ionize a ground-state hydrogen atom can be determined using the Bohr model. According to the Bohr model, the energy of the electron in a hydrogen atom is quantized and can be calculated using the equation:

E = -(13.6 eV) / n²

where n is the principle quantum number. For the ground state (n = 1), the energy is -13.6 eV. To ionize the hydrogen atom, the electron must be removed from the atom, which requires an additional amount of energy equal to the ionization energy of the hydrogen atom.

The conversion factor from electron volts to joules is 1 eV = 1.6 x 10⁻¹⁹ J, so the ionization energy of a hydrogen atom in joules is:

E = -(13.6 eV) * (1.6 x 10⁻¹⁹ J/eV) = -2.18 x 10⁻¹⁸ J.

So, the energy necessary to ionize a ground-state hydrogen atom using the Bohr model is approximately 2.18 x 10⁻¹⁸ J.

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Answer:

3 West

Explanation:

Let east be the + direction.  

2 - 5 = -3

Displacement =  3 West

1.2 x 10⁻¹¹ m is the de Broglie wavelength associated with an electron accelerated through a potential difference of 1 kV.

Define De Broglie wavelength .

De Broglie wavelength is the wavelength that is connected to an item in relation to its momentum and mass. Typically, a particle's force is inversely proportional to its de Broglie wavelength.

The relationship between the momentum of a moving particle and its wavelength is given by the de Broglie equation, h=mv. The likelihood of locating an object at a specific location in the configuration space is calculated using de Broglie waves. Making use of the de Broglie waves in the creation of electron microscopes is another significant use.

E = qV

q is 1.6 x 10⁻¹⁹ C

V is the potential difference.

v² = 2eV/m

v is 5.9 × 10⁹ m/s

λ = h/mv

h is the Planck Constant which is equal to 6.63x 10⁻³⁴ Js

Substituting values above we get λ = 1.2 x 10⁻¹¹ m.

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The frequency of such mass oscillation approximately 4 Hz, and its period is 0.5 seconds.

The quantity of pulses that pass a set location in a predetermined period of time is known as frequency. Therefore, if a wave passes through in less than a second, the frequencies is 2 per second. The periodicity is 100 times per hour if it consumes 1/100 of an hour.

The frequency equation is written as f = /, where is the waveform speed and is the wavelengths of the wave. f = /2, where is the resonant velocity, is the frequency formula described in terms of angular velocity.

12 complete cycle = 3 sec.

1 complete cycle = 3/12

= 1/4 sec.

mass oscillation, T = 1/2 sec.

= 0.5 sec.

f = 12/3

= 4 Hz

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The given information are not enough to determine the photoelectric current density

From the question, we have the following parameters that can be used in our computation:

The photoelectric current density can be calculated using:

J = n * e / t

Where

From the question, we do not have value for (η)

Hence, the photoelectric current density cannot be calculated

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The gravitational force (F) acting on an object can be calculated using the formula:

What is gravitational force?

Gravitational force is the force of attraction between two masses that results from the interaction of their gravitational fields. This force is proportional to the product of their masses and inversely proportional to the square of the distance between them.

[tex]\mathbf{F = G \times (m_1 \times m_2) / r^2}[/tex]

Where:

To find the gravitational force, you need to know the mass of the planet and the object, as well as the radius of the planet and the height of the object above the planet's surface. The distance between the center of the planet and the center of the object can be calculated as:

r = R + h

Where:

                                     [tex]\mathbf{F = G \times (m_1 \times m_2) / (R+h)^2}[/tex]

Now you can substitute in the values for the mass, radius, and height to find the gravitational force.

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The acceleration of the system is (m₁g sinθ  +  m₂g) / (m₁ + m₂) / (m₁ + m₂)

The acceleration of the system can be calculated using the equation of motion and considering the forces acting on each mass.

The equation of motion for the 10 kg mass is:

W₁ - T = m₁a

The equation of motion for the 15 kg mass is:

W₂ + T = m₂ a

Where;

Solving for the tension T and substituting the values for W₁ and W₂, we get:

T = (m₁g sinθ  +  m₂g) / (m₁ + m₂)

And substituting T back into either equation, we get:

a = (m₁g sinθ  +  m₂g) / (m₁ + m₂) / (m₁ + m₂)

where;

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It will take you 24.6 sec to cover the 85m length of the walkway.

What does the word "speed" mean?

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. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes.

V = 85m / 68s. = 1.25m/s Walking on ground.

t = d / V = 85m / (2.2+1.25)m/s = 24.6s.

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Answer:

The geocentric model says that the earth is at the center of the cosmos or universe, and the planets, the sun and the moon, and the stars circles around it. The early heliocentric models consider the sun as the center, and the planets revolve around the sun.

Joshua is attracted toward Earth by a 500-N gravitational force. The Earth is attracted toward Joshua with a force of 500 N (2)

The gravitational attraction that exists between an individual and the earth is directly proportional to the mass of the individual and inversely proportional to the square of the radius of the planet (distance from the person to the center of earth). Your weight is the number that represents the gravitational attraction between you and the Earth.

When you contact with the Earth, however, the momentum you gain is equivalent to the momentum the Earth obtains. Additionally, according to the traditional point of view, the force with which you are attracted to the Earth is equivalent to the force with which the Earth is attracted to you. Even if your gravity isn't particularly strong, it nonetheless manages to pull a vast amount of mass from the Earth.

Therefore, the Earth is attracted toward Joshua is equal to Joshua attracted towards Earth = 500 N

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The given statement about “The nucleus was discovered by Rutherford when this occurred to the alpha particles shot at gold foil in his laboratory.” is true, because in his famous experiment, alpha particles were seen to scatter away from a gold foil in the reverse direction.

In the Rutherford model, the atom is described as having a small, dense, positively charged core known as a nucleus, in which nearly all of the mass is concentrated, and around which the light, negative constituents known as electrons circulate at some distance, similar to how planets revolve around the sun at a certain distance. Under the guidance of Rutherford and German physicist Hans Geiger in 1909, Ernest Marsden, conducted a series of experiments that revealed the scattering of alpha particles from thin gold foil. This resulted in the hypothesis that the nucleus was small and dense.

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The acceleration of the auto is 0.74 m/s².

The acceleration of the automobile is calculated by applying Newton's second law of motion as shown below;

F = ma

where;

The applied force of the automobile is given as 818 N and the mass of the automobile is given as 1105 kg.

a = F / m

a = ( 818 N ) / ( 1105 kg )

a = 0.74 m/s²

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The acceleration of the elevator is 9.8 m/s^2, which is equal to the acceleration due to gravity.

The change in the person's weight can be used to calculate the elevator's acceleration.

The change in weight is: 908.9 N - 494.7 N = 414.2 N

Since weight is equal to mass times acceleration (W = m * a), we can rearrange the equation to solve for acceleration:

a = W / m

Where m is the mass of the person, which can be calculated using the acceleration due to gravity:

m = W / g = 414.2 N / 9.8 m/s^2 = 42.3 kg

Substituting the mass into the equation for acceleration:

a = 414.2 N / 42.3 kg = 9.8 m/s^2

So the acceleration of the elevator is 9.8 m/s^2, which is equal to the acceleration due to gravity.

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The acceleration of the particle when it achieves its maximum displacement in the positive x-direction is -6.00[tex]m/s^2[/tex].

The acceleration of a particle is defined as the rate of change of its velocity with respect to time. In this case, the velocity of the particle is given by vx = 32.0t - 2.00t^3 m/s. To find the acceleration, we can differentiate this expression with respect to time:

ax = dvx/dt = 32.0 - 6.00[tex]t^2 m/s^2[/tex].

The particle achieves its maximum displacement in the positive x-direction when its velocity is zero, which occurs when vx = 0. Solving for t in the equation vx = 32.0t - 2.00[tex]t^3[/tex] = 0, we find that t = ±√(16/3) s. The particle achieves its maximum displacement in the positive x-direction, so we want the positive value of t, which is t = √(16/3) s. Plugging this value of t into the expression for ax, we find that the acceleration of the particle is ax = 32.0 - 6.00(16/3) = -6.00 [tex]m/s^2[/tex].

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A ball sent upward reaches its highest point before falling backward. If aerodynamics is minimal, the motion's acceleration is constant throughout.

In physics, acceleration is the rate at which the movement of an object changes in relation to time. According to Newton's Second Law, the sum of all force applied on an item results in its acceleration. The axis of motion is altering, therefore an object moving at a steady speed on a circular path is still moving forward.

The three forms of increasing motions are often classified as uniform acceleration, non-uniform acceleration, and average acceleration. Uniform acceleration describes a motion that occurs when a object follows an uniform path while accelerating gradually over time.

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The result is obtained by using the equations in uniformly accelerated straight motion.

A uniformly accelerated straight motion is a motion with acceleration or deceleration in a straight line. The equations apply in vertical dimension are

v₁ = v₀ + gt

v₁² = v₀² + 2gh

h = v₀t + ½ gt²

Where

While standing at the edge of a building's roof, Chad throws an egg upward.

Find

See the illustration picture in the attachment!

The distance between the egg when it was thrown and the highest point it could reach is

v₁² = v₀² - 2gh₁

0 = 8² - 2(10)h₁

64 = 20h₁

h₁ = 3.2 m

The egg then moves downward. The speed when it passes the initial point is

v₂² = v₁² + 2gh₁

v₂² = 0 + 2(10)(3.2)

v₂² = 64

v₂ = 8 m/s

The speed is the same with the initial speed.

The time spent by the egg from initial point to the highest point is

v₁ = v₀ - gt₁

0 = 8 - 10t₁

8 = 10t₁

t₁ = 0.8 s

The time spent from the highest point to the ground is

h = v₀t + ½ gt²

(3.2 + 12) = 0 + ½ (10)t₂²

15.2 = 5t₂²

t₂² = 3.04

t₂ = 1.74 s

The total time spent in the air will be

t = t₁ + t₂

t = 0.8 + 1.74

t = 2.54 s

The total distance traveled by the egg is

= 2(3.2) + 12

= 6.4 + 12

= 18.4 m

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The correct statements about the phase diagram for CO₂ from the given options are as follows:

The correct options are A, B, C, and D.

The parameters of temperature and pressure at which CO₂ is simultaneously present in all three physical states of matter are referred to as the triple point of CO₂.

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According to the Velocity vs Time graph:

at A: car is moving with increased velocity with time

at B: the car is stationary or at uniform velocity

at E: the car is slowing down or its velocity decreases with time.

What is velocity, exactly?

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

When an item is moving, its velocity is the rate at which it is changing position as seen from a certain point of view and as measured by a specific unit of time.

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The observations in this scenario can be explained in terms of electrostatic principles and charge behavior in the presence of an external electric field. 

This is an example of an electrostatic interaction involving charge. Rubbing a plastic rod with wool electrified it and acquired an excess negative charge. This left an excess positive charge on the wool.

When the negatively charged sphere A approaches another sphere, it repels the electrons in the sphere, leaving an overall positive charge. Therefore, balls B, C, and D are attracted to ball A. Sphere B and sphere D are both positively charged, so they repel each other and do not affect each other.

Ball B is attracted to ball C because it has the opposite charge. Ball C is attracted to ball A, but ball B is not attracted to ball A. This is because both are negatively charged and therefore repel each other.  

Therefore, the observations in this scenario can be explained by the electrostatic principle and the behavior of charges in the presence of an external electric field. 

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The weight of the plate is equal to -(60 × LAC)/LAB - 60.

Plate is a flat dish used for serving food. It is usually made of ceramic, glass, metal, or plastic, and is sometimes decorated with patterns or designs. Plates are usually round, but can also be rectangular, square, or oval. They are used for a variety of meals, from casual to formal.

Using the principle of static equilibrium, we can set up a system of equations to solve for the weight of the plate.
Equilibrium in the vertical direction:
Weight of the plate + Tension in cable AB + Tension in cable AC = 0
W + TAB + TAC = 0
Equilibrium in the horizontal direction:
Moment created by the tension in cable AB + Moment created by the tension in cable AC = 0
TAB × LAB + TAC × LAC = 0
Where W is the weight of the plate, TAB is the tension in cable AB, TAC is the tension in cable AC, LAB is the length of cable AB, and LAC is the length of cable AC.
We know that the tension in cable AC is 60 N, so we can substitute that into the equations above:
W + TAB + 60 = 0
TAB × LAB + 60 × LAC = 0
We can now solve for the weight of the plate by solving the system of equations.
Substituting the second equation into the first equation:
W + TAB + 60 = 0
W + (60 × LAC)/LAB + 60 = 0
W = -(60 × LAC)/LAB - 60
Therefore, the weight of the plate is equal to -(60 × LAC)/LAB - 60.

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The ranking of the gravitational force acting on the asteroid are asteroid: sun, asteroid: earth, asteroid: moon, asteroid: asteroid, asteroid: hydrogen atom

What is an asteroid explain?

An asteroid is a small, rocky object that orbits the Sun. Asteroids are much smaller than planets, and are composed mostly of rock and minerals. They range in size from less than 1 meter to hundreds of kilometers across. Most asteroids are found in a region of space between the orbits of Mars and Jupiter known as the asteroid belt. On average, about 100 tons of material from asteroids and comets hits Earth's atmosphere each day. Most of this material is small dust-sized particles that burn up in the atmosphere before they reach the ground.

The gravitational force solely depends on the product of the masses because the distance is the same in each of the five scenarios. The mass of the object on the right determines the relative strength of gravitational force because the same asteroid is in each of the five scenarios on the left. Explore what transpires if we inquire about the gravitational force operating on the object on the right in Part B.

Therefore, asteroid: sun, asteroid: earth, asteroid: moon, asteroid: asteroid, asteroid: hydrogen atom are the answers.

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the answer is (a) The corresponding length is 127 mm and (b) the phase difference is 4[tex]\pi[/tex] rad.

Using v = fλ,

we find the length of one cycle of the wave is

λ = 360 / 710

  = 0.508 m

λ = 508 mm.

From f = 1 / T,

we find the time for one cycle of oscillation is

T = 1 / 710 = 0.002 × [tex]10^{-3}[/tex] s

            T = 2.00 ms.

(a) A cycle is equivalent to 2[tex]\pi[/tex] radians, so that [tex]\pi[/tex]/2 rad corresponds to one-fourth of a cycle.

The corresponding length, therefore, is [tex]\pi[/tex]/4 = 508 / 4 = 127 mm.

(b) The interval 4.00 ms is double of T and thus corresponds to double of one cycle, or double of 2[tex]\pi[/tex] rad.

Thus, the phase difference is 2 × 2[tex]\pi[/tex]= 4[tex]\pi[/tex] rad.

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The average velocity of the horse, given that moves 60 m to the right and 30 m backward is 18 m/s

Average velocity is defined as:

Average velocity = Total displacement / total time

With the above formula, we can obtain the average velocity. Details below:

Average velocity = Total displacement / total time

Average velocity = 90 / 5

Average velocity = 18 m/s

Thus, we can conclude that the average velocity is 18 m/s

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Answer:

the new pressure is 11.64 atmospheres.

Explanation:

Assuming that the gas follows the ideal gas law, which states that PV = nRT (where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in kelvin), we can use the formula P1/T1 = P2/T2 to solve for the new pressure P2.

Converting the initial temperature of 27°C to kelvin, we get T1 = 27°C + 273.15 = 300.15 K. Increasing the temperature by 75°C gives us the new temperature T2 = 300.15 K + 75°C = 348.15 K.

Using the formula, we can solve for P2:

P1/T1 = P2/T2

10 atm/300.15 K = P2/348.15 K

Simplifying the equation, we get:

P2 = (10 atm * 348.15 K) / 300.15 K

P2 = 11.64 atm (rounded to two decimal places)

Therefore, the new pressure is 11.64 atmospheres.

Answer:

29.333

Explanation:

This is a standard F=ma problem which then uses kinematics.

The 440 newtons is the force applied to the puck, the mass is the mass obviously. F+ma turns into A=F/m, A=440/.15 which equals 2933.333.

Vf=Vi+aT.

Vi=0, A=2933.333, T=.01

Vf = 29.333

1) The smallest possible length (M) of the FIR filter is 4. The zeros for this length-4 FIR filter are: Z1 = 1, Z2 = 2e^(-j0.41), Z3 = -j, Z4 = -1.

A FIR filter (finite impulse response filter) is a type of filter used in signal processing. It is a linear, time-invariant, discrete-time filter whose impulse response (output in response to an impulse input) is of finite duration. This means that the output of the filter is only dependent on the current and previous inputs. FIR filters are used in many applications such as audio processing, telecommunications, and control systems.

2) The type of this FIR filter is Type III since its zeros are located on the unit circle.
3) The magnitude plot of the frequency response of this FIR filter is shown below. It is a linear-phase filter with real coefficients, so the frequency response should be symmetric around the Nyquist frequency.

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