A coil of wire is connected into a circuit containing a variable resistor and a battery. The variable resistor is adjusted until the potential difference across the coil is 1. 8 V. In this condition, the current in the circuit is 0. 45 A. Calculate
(i) the resistance of the coil,
resistance =. [1]
(ii) the thermal energy released from this coil in 9 minutes. Energy released =. [3]
(b) The coil in part (a) is replaced by one made of wire which has half the diameter of that
in (a). When the potential difference across the coil is again adjusted to 1. 8 V, the current is
only 0. 30 A. Calculate how the length of wire in the second coil compares with the length of wire in
the first coil. Length of wire in second coil is ………………………… the length of wire in first coil

a) The angular acceleration is 4.19 rad/s². b) The radial component of linear acceleration is 132.09 m/s², and the tangential component is 1.28 m/s².

To determine the angular acceleration and linear acceleration components, we'll need to use relevant formulas.
a) Angular acceleration (α):
We can use the formula α = [tex](\omega_f - \omega_i)[/tex]/ t
First, convert rpm to rad/s: ω_i = (120 * 2π) / 60 = 12.57 rad/s and ω_f = (280 * 2π) / 60 = 29.32 rad/s.
Now, calculate α: α = (29.32 - 12.57) / 4.0 = 4.19 rad/s².
b) Radial and tangential components of linear acceleration:
At 2.0 s after the wheel starts accelerating, we need to find the angular velocity (ω) at that point. Use the formula ω = ω+ αt = 12.57 + (4.19 * 2.0) = 20.95 rad/s.
Now, calculate radial ([tex]a_r[/tex]) and tangential ([tex]a_t[/tex]) components of linear acceleration. The radius of the wheel is 30.5 cm (0.305 m).
[tex]a_r[/tex] = rω² = 0.305 * (20.95)² = 132.09 m/s²
[tex]a_t[/tex] = rα = 0.305 * 4.19 = 1.28 m/s²
In summary:
a) The angular acceleration is 4.19 rad/s².
b) The radial component of linear acceleration is 132.09 m/s², and the tangential component is 1.28 m/s² at 2.0 s after the wheel has started accelerating.

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The speaker most likely think about the wall that The wall protects his orchard. Hence option A is correct.

The term wall is derived from the Latin word vallum, which denotes "...an earthen wall or rampart set with palisades, a row or line of stakes, a wall, a rampart, fortification...", whereas murus is a defensive stone wall. The same word is used in English to refer to an exterior wall and the inside sides of a room, but this is not ubiquitous. Many languages differentiate between the two. Some of this contrast may be observed in German between Wand and Mauer, and in Spanish between pared and muro.The wall protects his orchard.

Hence option A is correct.

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The given statement "For a given volumetric flow rate, the pressure drop for turbulent flow in a pipe is proportional to [tex]1/D^5[/tex]." is true because the pressure drop for turbulent flow in a pipe is proportional to [tex]1/D^5[/tex].

The relationship between volumetric flow rate and pressure drop in a pipe for turbulent flow can be described by the equation:

ΔP = k[tex](Q/A)^2/D^5[/tex]

Where ΔP is the pressure drop, k is a constant, Q is the volumetric flow rate, A is the cross-sectional area of the pipe, and D is the diameter of the pipe.

This equation shows that the pressure drop is proportional to [tex](Q/A)^2/D^5[/tex]. Therefore, for a given volumetric flow rate, if the diameter of the pipe decreases (i.e. D^5 decreases), the pressure drop will increase. So, the pressure drop for turbulent flow in a pipe is proportional to [tex]1/D^5[/tex].

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The correct answer is: the velocity is not changing at that instant.

If the acceleration of a certain particle is zero at a given instant, it means that the velocity of the particle is not changing at that instant.

This is because acceleration is defined as the rate of change of velocity over time, so when the acceleration is zero, it means that there is no change in the velocity of the particle at that instant. Therefore, the velocity of the particle is constant and not increasing or decreasing at that moment.

Therefore, the correct response would be the velocity is not changing at that instant.

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The brightest star is Sirius (-1.46).

The apparent magnitude of a star is a measure of how bright the star appears to an observer on Earth. Here are some key points to explain this concept:

1. Apparent magnitude is a logarithmic scale that quantifies the brightness of a star relative to other stars in the sky.

2. The scale is set such that a difference of 5 magnitudes corresponds to a brightness ratio of exactly 100:1.

3. Lower magnitudes correspond to brighter stars, with negative magnitudes being the brightest.

4. The human eye can perceive stars down to an apparent magnitude of about 6 under optimal viewing conditions, but telescopes can detect much fainter objects.

5. The apparent magnitude of a star depends on both its intrinsic brightness (absolute magnitude) and its distance from Earth.

6. Stars can appear to have the same apparent magnitude even if they have very different absolute magnitudes, due to differences in their distances.

So, the apparent magnitude of a star is a logarithmic measure of its brightness as seen from Earth, which depends on both its intrinsic brightness and its distance from us. Lower magnitudes correspond to brighter stars, and the scale is set such that a difference of 5 magnitudes corresponds to a brightness ratio of 100:1.

The apparent magnitude of a star is a measure of how bright it appears to an observer on Earth. It is a logarithmic scale, meaning that each increase of 1 in magnitude corresponds to a decrease in brightness by a factor of approximately 2.5.

Therefore, a star with a smaller apparent magnitude is brighter than a star with a larger apparent magnitude. Based on the given table, Sirius has the smallest apparent magnitude (-1.46) and is the brightest star.

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The given statement "The axis of Earth's rotation will not always point towards Polaris due to precession" is True because Precession is a slow, cyclic change in the orientation of a rotating body's rotational axis, which in Earth's case, takes approximately 26,000 years to complete one cycle.

This phenomenon is mainly caused by the gravitational forces exerted by the Sun and the Moon on Earth's equatorial bulge, creating a torque that makes the planet's axis wobble.

As a result of precession, the position of the celestial poles gradually shifts over time, causing the apparent positions of stars to change. While Polaris, also known as the North Star, is currently close to the North Celestial Pole, it will not always be the case. In about 13,000 years, the star Vega will take Polaris' place as the North Star due to this precession.

In summary, the statement is true, as the axis of Earth's rotation will not consistently point towards Polaris because of the ongoing effect of precession, which causes a slow and continuous shift in the orientation of Earth's rotational axis.

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True, when a battery is fresh, the voltage marked on it represents the electromotive force (emf) or electric potential difference between its terminals.

Voltage is indeed an informal term for emf or potential difference. In a fresh battery, the chemical reactions within the battery generate this electric potential,

which in turn drives the flow of electric charge through a circuit. As the battery discharges over time, its emf decreases due to the depletion of chemical reactants, which leads to a lower potential difference between the terminals.

Hence, it is accurate to say that the voltage marked on a fresh battery is a measure of its emf or electric potential difference.

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The approximate depth of penetration of ultrasound at a frequency of 5 Mhz is 6.3 cm. Hence, option C is correct.

From the given,

Frequency = 5 MHz = 5 × 10⁶ Hz

No of time of wavelength = 200 times

speed of ultrasound = 1540  m/s

Depth=?

Depth = 200  × Wavelength

Wavelength (λ) = speed of ultrasound/frequency (ν)

                         = 1540/5× 10⁶

Depth = (200 ×  1540)/5× 10⁶

           = 6.3 cm

Thus, the depth of the ultrasound waves is 6.3 cm. Hence, the ideal solution is option C.

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Ultrasound is a medical imaging technique that allows visualization of unborn babies in a non-invasive manner. It uses high-frequency sound waves to create images of the fetus and surrounding structures within the mother's uterus.

This procedure, known as an ultrasound scan or sonogram, is widely used in prenatal care to monitor the development and well-being of the unborn baby. Ultrasound is safe for both the mother and fetus, as it does not use ionizing radiation like X-rays.

During an ultrasound scan, a gel is applied to the mother's abdomen to help transmit the sound waves, and a transducer is moved over the surface to obtain images from different angles. This process allows medical professionals to assess fetal growth, estimate the due date, and identify any potential issues with the baby's anatomy or the placenta.

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This is because using the same medium can result in a similar texture, value, and color.

To provide further explanation, using different mediums can create a more dynamic and interesting composition. For example, if you use watercolors for the top portion and colored pencils for the bottom portion, the contrasting textures and values can create a more visually appealing artwork.

In summary, choosing different mediums for the top and bottom portions of your artwork can enhance its visual interest by adding depth and contrast. Using the same medium may result in a flat and uninteresting composition.

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To help Jill see objects clearly at a distance of 25.0 cm, we need to calculate the refractive power of the contact lenses. We'll use the lens formula:
1/f = P = 1/d_o + 1/d_i
where f is the focal length, P is the refractive power, d_o is the object distance (25.0 cm), and d_i is the image distance.

First, let's find the image distance (d_i) without the contact lenses. Since Jill can see objects clearly at 80.0 cm, that will be the image distance:
1/f = 1/25.0 + 1/80.0
1/f = 0.04 + 0.0125
1/f = 0.0525
f = 1/0.0525 ≈ 19.05 cm
Now, let's find the refractive power of the contact lenses that will allow Jill to see objects clearly at a distance of 25.0 cm. We'll adjust the object distance to 25.0 cm:
1/f_contact = 1/25.0 - 1/19.05
1/f_contact ≈ 0.04 - 0.0525
1/f_contact ≈ -0.0125
f_contact ≈ -80 cm

Since the focal length of the contact lens is negative, it indicates that Jill needs a converging lens to correct her farsightedness. The refractive power of the contact lenses required is:
P_contact = 1/f_contact
P_contact = 1/-80
P_contact ≈ -0.0125 diopters
So, Jill will need contact lenses with a refractive power of approximately -0.0125 diopters to see objects clearly at a distance of 25.0 cm from her eyes.

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The answer is that the most constructively reflected wavelength, or the color that the oil appears to be, is green with a wavelength of approximately 550 nm.

Explanation: When white light is incident on the oil slick, some of the light is reflected and some of it is transmitted into the oil layer. The reflected light waves interfere with each other, and only certain wavelengths will be constructively reinforced. This results in the oil slick appearing to have a specific color.

To determine the most constructively reinforced wavelength, we need to use the equation for the thickness of a thin film:

2nt = mλ

where n is the index of refraction of the oil (1.40), t is the thickness of the oil slick (112 nm), m is an integer (1, 2, 3, etc.) representing the number of times the light wave reflects off the top and bottom of the oil layer, and λ is the wavelength of the light.

We want to find the wavelength that gives the thinnest film with constructive interference (m=1). Rearranging the equation gives:

λ = 2nt/m

Plugging in the values we have, we get:

λ = (2 x 1.40 x 112 nm)/1
λ = 313.6 nm

This would be the most constructively reinforced wavelength if the oil slick were completely transparent. However, since the oil absorbs some of the light, the actual color that we see is shifted towards the longer wavelengths. In general, the color of the oil slick will be the complementary color of the most constructively reinforced wavelength. For green light (with a wavelength of approximately 550 nm), the complementary color is magenta, so the oil slick will appear to be green.

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Two properties of a star that we obtain from its spectrum are its temperature and chemical composition. The temperature is determined by analyzing the intensity and color of the lines in the spectrum, while the chemical composition is determined by identifying the elements present in the spectrum and their relative abundances.

We can obtain various properties of a star from its spectrum. Two important properties are:

1. Temperature: By analyzing the star's spectrum, we can determine its surface temperature. This is done by examining the pattern of absorption lines and the shape of the continuous spectrum, which is related to the star's color and is governed by the blackbody radiation curve.

2. Chemical composition: The spectrum of a star also reveals its chemical composition. This is because different elements and molecules absorb and emit light at specific wavelengths, creating distinct spectral lines. By studying these lines, we can identify the elements present in a star's atmosphere and their relative abundances.

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To determine the length of each pulse of laser light, we need to use the formula:

Energy = Power x Time

Since we know the energy of each burst (5.00 J) and the duration of each burst (2.70 ns), we can rearrange the formula to solve for time:

Time = Energy / Power

The power of the laser can be calculated using the formula:

Power = Energy / Time

Substituting the values given, we get:

Power = 5.00 J / 2.70 ns = 1.85 x 10¹⁵W

Now, we can use this value of power to find the length of each pulse:

Power = Energy / Time
1.85 x 10¹⁵W = 0.510² cm^2 x length / (2.70 x 10⁻⁹ s)

Solving for length, we get:

Length = Power x Time / Area
Length = (1.85 x 10¹⁵W) x (2.70 x 10⁻⁹ s) / (0.510² cm²)
Length = 2.45 x 10⁻⁴cm

Therefore, the length of each pulse of laser light is approximately 2.45 x 10⁻⁴ cm.

1) Determine the speed of light (c) in a vacuum: c = 3.00 x 10⁸ m/s.
2) Convert the pulse duration from nanoseconds to seconds: 2.70 ns = 2.70 x 10⁻⁹s.
3) Calculate the length of each pulse using the formula: length = speed of light x pulse duration.
4) Plug in the values: length = (3.00 x 10⁸ m/s) x (2.70 x 10⁻⁹s).
5) Calculate the length: length ≈ 0.81 m.

The length of each pulse of laser light is approximately 0.81 meters.

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The equation Fg = mobjg relates the force of gravity (Fg) to the mass of an object (mobj) and the acceleration due to gravity (g).

The value of g is approximately 9.8 meters/second² at sea level, which means that objects near the surface of the earth experience an acceleration of 9.8 meters/second² due to the gravitational pull of the earth.

This acceleration is what causes objects to fall towards the ground when dropped.

Additionally, the acceleration due to gravity varies slightly depending on the altitude and location on the earth's surface, but at sea level it is approximately 9.8 meters/second².

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According to the Doppler effect, when a source of sound approaches an observer, the observed frequency of the sound increases.

A change in a sound's apparent frequency brought on by motion, either of the source or the observer, is known as the Doppler effect.

The Doppler shift is the referred to as actual change in frequency.

The sound waves get closer together as the source gets closer to the listener, increasing the frequency and pitch of the sound.

When the source of the sound waves shifts away from the listener, the opposite occurs.

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A(n) standing wave is an interference pattern produced when incoming and reflected waves interfere with each other.

A standing wave is a pattern of vibration that occurs when two waves of the same frequency, amplitude, and wavelength travel in opposite directions and interfere with each other.

The waves appear to be "standing still" because the points of maximum and minimum displacement remain fixed in space. Standing waves can be produced in a variety of systems, such as musical instruments, electromagnetic fields, and fluids.

They have unique properties, such as nodes and antinodes, which can be used to measure physical properties such as wavelength and frequency. Standing waves play an important role in fields such as physics, acoustics, and engineering.

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The magnetic force experienced by the wire is zero because the direction of the current is parallel to the direction of the magnetic field.

The magnetic force experienced by a current-carrying wire is given by the formula F = BIL sinθ, where F is the magnetic force, B is the magnetic field strength, I is the current, L is the length of the wire in the magnetic field, and θ is the angle between the direction of the current and the magnetic field.

When the current is parallel to the magnetic field, θ is equal to zero, and sinθ is also equal to zero, which means that the magnetic force experienced by the wire is zero. Therefore, the wire experiences zero magnetic force when the current is parallel to the magnetic field.

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The final state of the system is a water-steam mixture at 100C, which is answer choice E.

This is a problem involving the transfer of heat between two substances at different temperatures, with no energy transfer to the surroundings.

To solve this problem, we need to determine the amount of heat that is transferred between the ice and steam until they reach a common temperature.

First, we need to determine the amount of heat required to melt [tex]100\ g[/tex] of ice at [tex]0 C[/tex] :

[tex]q_1=m_1\times L_f[/tex]

where m₁ is the mass of ice and [tex]L_f[/tex] is the latent heat of fusion of ice, which is 334 J/g.

[tex]q_1 = 100 \times 334 = 33400 J[/tex]

Next, we need to determine the amount of heat required to convert 100 g of steam at [tex]100\ C[/tex] to water at [tex]100\ C[/tex]:

[tex]q_2 = m_2 \times L_v[/tex]

where m³ is the mass of steam and [tex]L_v[/tex] is the latent heat of vaporization of water, which is 2260 J/g .

q₂ = 100 g x 2260 J/g = 226000 J

Since the container is well-insulated, the heat transferred from the steam to the ice is equal to the heat required to melt the ice and the heat required to condense the steam:

q = q₁+ q₂= 259400 J

[tex]q = m_3 \times C_p \times (T_f - 0)[/tex]

where [tex]m_3[/tex] the total mass of water

[tex]C_p[/tex] is the specific heat of water, which is 4.18 [tex]\dfrac{J}{gC}[/tex].

m₃= m₁ + m₂ = 100 g + 100 g = 200 g

[tex]T_f = \dfrac{q} {(m_3 \times C_p)} = 310.2 C[/tex]

Therefore, the final state of the system is a water-steam mixture  [tex]100C[/tex],

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The property that remains the same for all types of electromagnetic waves is b. speed. Electromagnetic waves, which include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays, all travel at the speed of light in a vacuum. The speed of light is approximately 299,792 kilometers per second (km/s) or 186,282 miles per second (mps).

While the speed of electromagnetic waves remains constant, other properties such as amplitude, frequency, wavelength, and energy can vary depending on the specific type of wave. Amplitude refers to the height of the wave, which is related to the intensity or brightness of the wave. Frequency is the number of oscillations or cycles a wave completes in a unit of time, typically measured in Hertz (Hz). Wavelength is the distance between two successive crests or troughs in a wave, often measured in meters or nanometers. Lastly, energy is the capacity of an electromagnetic wave to do work, and it is directly proportional to the wave's frequency.
In summary, the speed of all electromagnetic waves remains constant at the speed of light in a vacuum, while other properties like amplitude, frequency, wavelength, and energy can vary among the different types of waves.

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For a volume of 5 cm³, the mass of the copper is 45 g.

For a mass of 63g, the volume of the copper is 7g/cm³.

The mass of the copper is calculated by applying the following formula as shown below;

density = mass / volume

mass = density x volume

volume = mass / density

For a volume of 5 cm³, the mass of the copper is calculated as;

mass = 9 g/cm³ x 5 cm³

mass = 45 g

For a mass of 63g, the volume of the copper is calculated as;

volume = 63g / 9g/cm³

volume = 7 g/cm³

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The rotational inertia of the child's ball is reduced by a factor of 1/20 compared to the adult ball.

Rotational inertia, also known as moment of inertia, is a measure of an object's resistance to rotational motion. It depends on the mass and distribution of the object's mass around its axis of rotation.

In this scenario, we are comparing the rotational inertia of a child's bowling ball to that of an adult bowling ball. The child's ball has a radius that is half the size of the adult ball, but is made of the same material and has the same mass per unit volume.

The formula for the rotational inertia of a solid sphere is I = (2/5) * m * r², where m is the mass of the sphere and r is the radius.

Since the child's ball has half the radius of the adult ball but the same mass per unit volume, its mass is 1/8 that of the adult ball. Therefore, the rotational inertia of the child's ball can be calculated as I_child = (2/5) * (1/8m) * (1/2r)² = (1/40) * (2/5) * m * r² = (1/20) * I_adult.

So, the rotational inertia of the child's ball is reduced by a factor of 1/20 compared to the adult ball. This means that it will be easier for a child to rotate the ball, as less torque is required to produce the same angular acceleration compared to an adult ball.

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The value of (1/T2 - 1/T1) can be calculated by subtracting the reciprocal of the initial temperature (T1) from the reciprocal of the final temperature (T2). The formula can be written as (1/T2) - (1/T1).

For example, if T1 is 20°C and T2 is 30°C, then (1/T2 - 1/T1) = (1/303 - 1/293) = 0.0034.
It is important to note that temperature is typically measured in Celsius (°C), Kelvin (K), or Fahrenheit (°F). The formula remains the same regardless of the unit of temperature used, but the values of T1 and T2 need to be converted accordingly. In summary, the value of (1/T2 - 1/T1) can be calculated by subtracting the reciprocal of the initial temperature from the reciprocal of the final temperature.

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A student will notice higher tides on the coast of Florida during a clear night with a full moon.

The gravitational pull of the moon affects the tides on Earth. When the moon is full, its gravitational pull on the Earth is stronger, causing higher tides. This phenomenon is known as a spring tide.

The alignment of the sun, moon, and Earth also plays a role in the strength of the tidal effect. When the moon and sun are on the same side of the Earth, as they are during a full moon, the combined gravitational pull results in stronger tides. This is why the student noticed higher tides on the coast of Florida during a clear night with a full moon.

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Newton's law of universal gravitation states that every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Newton's Law of Universal Gravitation states that every object with mass attracts every other object with mass. The force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The key equation for Newton's Law of Universal Gravitation is:
F = G * (m1 * m2) / r2.
where F is the gravitational force, G is the gravitational constant, m1, and m2 are the masses of the objects, and r is the distance between their centers.

This is a general law of physics derived from experimental observations, which Isaac Newton called inductive reasoning. It is part of classical mechanics and was developed in Newton's book Philosophiæ Naturalis Principia Mathematica ("Principles of Mathematics"), first published on July 5, 1687. When Newton presented Volume 1, he did not report to the Royal Society in April 1686. Robert Hooke claimed that Newton took the right back from him.

In modern language, the law states that each element of the group attracts all other elements of the group with a force acting along a line where the two elements intersect. The force is proportional to the product of the two groups and inversely proportional to the square of the distance between them.

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The current flowing in the circuit is 3.88 A.

The current flowing in the circuit is calculated by applying ohm's law.

I = V/Re

where;

The equivalent resistance of the circuit is calculated as follows;

1/Re = 1/1 + 1/6 + 1/8

1/Re = 1.29167

Re = 1/1.29167

Re = 0.774 ohms

The current is calculated as;

I = V/Re

I = (3.0 V) / (0.774 ohms)

I = 3.88 A

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When a woman on a frictionless rotating turntable extends her arms out horizontally, her angular momentum must remain the same.

This is due to the conservation of angular momentum, which states that in the absence of external torques, the total angular momentum of a system remains constant. The woman's initial angular velocity does not affect her angular momentum, as long as there is no external torque acting on her. When she extends her arms out, her moment of inertia increases due to the increased distance between her body and the axis of rotation. However, her angular velocity decreases to compensate for the increase in moment of inertia, such that her angular momentum remains constant.

In other words, the woman's rotational speed decreases as she extends her arms out, but her moment of inertia increases proportionally, resulting in a constant angular momentum. This phenomenon is often demonstrated in physics classrooms using rotating chairs or turntables, and is a classic example of the conservation of angular momentum. Therefore, the correct answer is C. The woman's angular momentum must remain the same when she extends her arms out horizontally on a frictionless rotating turntable.

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If you lived on the Moon, your weight would be less than your weight on Earth, but your mass would be the same as on Earth. Correct answer id a).

This is because weight is determined by the gravitational force acting on an object, while mass is a measure of the amount of matter in an object. The Moon has less gravitational force than Earth, so you would weigh less. However, your mass would stay the same since the amount of matter in your body does not change. It's important to note that weight and mass are different concepts and should not be used interchangeably. In this scenario, option a is the correct answer. Correct answer id a).

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The equivalent resistance for the entire circuit is 15 Ω when resistors are connected in parallel and the combination is then connected in series.

To find the equivalent resistance for the entire circuit, we can use the formula:
[tex]1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 + 1/R_4[/tex]
First, we need to find the resistance of the three 15.0 Ω resistors connected in parallel. The formula for the equivalent resistance of resistors connected in parallel is:
[tex]1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 [/tex]
Substituting the values, we get:
[tex]1/R_{eq} = 1/15 + 1/15 + 1/15[/tex]
[tex]1/R_{eq} = 3/15[/tex]
[tex]R_{eq} = 15/3[/tex]
[tex]R_{eq[/tex] = 5 Ω
Next, we need to find the equivalent resistance of the entire circuit, which includes the 5 Ω equivalent resistance of the three 15.0 Ω resistors in parallel and the 10.0 Ω resistor in series. The formula for the equivalent resistance of resistors connected in series is:
[tex]R_{eq} = R_1 + R_2[/tex]
Substituting the values, we get:
[tex]R_{eq[/tex] = 5 + 10
[tex]R_{eq[/tex] = 15 Ω
Therefore, the equivalent resistance for the entire circuit is 15 Ω.

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The acceleration of a 20N horizontal force on a 2kg box of cookies resing on a horizontal surface against a horizontal friction force of 12N Will be 4m/a squared, we will use Newton's second law of motion.

To show that the acceleration of the 2kg box of cookies is 4m/s² when pushed with a 20N horizontal force against a 12N friction force, we will use Newton's second law of motion, which states:

F = ma

Where F is the net force acting on the object, m is the mass of the object, and a is its acceleration. In this case, the net force is the difference between the applied force and the friction force:

F_net = F_applied - F_friction

F_net = 20N - 12N

F_net = 8N

Now we can use Newton's second law:

8N = (2kg) × a

To solve for the acceleration (a), we can divide both sides by the mass (2kg):

a = 8N / 2kg

a = 4m/s²

So, the acceleration of the box will be 4m/s².

Learn more about acceleration: https://brainly.com/question/12550364

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