two forces act on a 6 kg object; 34 n to the right and 27 n to the left. find the acceleration of the object

The velocity for mass of 60 kg is 99.6 m/s and for mass of 90 kg is 122 m/s.

The displacement that an object or particle experiences concerning respect to time are expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).

The pace at which a body's distance changes about time is referred to as its velocity. Its SI equivalent is m/s.

Given:-

Mass (m1) = 60kg

Mass (m2) = 90kg

Assumption:

ρ(air) = 1.21 kg/m^3

Pike position so assume A = 0.14 m^2

Pike position so assume C = 0.7

The terminal velocity \(V_T= \sqrt{\frac{2mg}{ρ(air)*C*A} }\)

For 60kg,

\(V_T= \sqrt{\frac{2*60*9.80}{1.12*0.7*0.14} }\)

\(V_T=99.6m/s\)

For 90kg,

\(V_T= \sqrt{\frac{2*90*9.80}{1.12*0.7*0.14} }\)

\(V_T=122m/s\)

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The average emf induced in the coil is approximately 7.253 × 10^6 volts.

To find the average electromotive force (emf) induced in the coil, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the emf induced in a coil is given by the rate of change of magnetic flux through the coil.

The magnetic flux (Φ) through a coil of N turns is given by:

Φ = B * A * cos(θ)

Where:

B is the magnetic field strength,

A is the area of the coil, and

θ is the angle between the magnetic field and the normal coil.

Given:

N = 200 (number of turns)

R = 6.0 cm = 0.06 m (radius of the coil)

B = 2.4 × 10^4 T (magnetic field strength)

At t = 0, the coil is perpendicular to the magnetic field, so θ = 90 degrees. At t = 0.015 s, the coil is parallel to the magnetic field, so θ = 0 degrees.

The area of the coil, A, can be calculated using the formula:

A = π * R^2

Substituting the values:

A = π * (0.06 m)^2

A = 0.0113 m^2

The change in magnetic flux (∆Φ) during the time interval ∆t = 0.015 s can be calculated as:

∆Φ = Φ_final - Φ_initial

∆Φ = B * A * cos(0) - B * A * cos(90)

∆Φ = B * A - (-B * A)

∆Φ = 2 * B * A

∆Φ = 2 * (2.4 × 10^4 T) * (0.0113 m^2)

∆Φ = 544 T·m^2

The average emf induced in the coil (∆V) is given by:

∆V = (-N * ∆Φ) / ∆t

∆V = (-200 * 544 T·m^2) / (0.015 s)

∆V = -7.253 × 10^6 V

Since emf is a scalar quantity, we take the magnitude of the average emf.

Average emf = |∆V| = 7.253 × 10^6 V

Therefore, the average emf induced in the coil is approximately 7.253 × 10^6 volts.

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Answer:

the distance traveled by the sports car is 90 m

Explanation:

Given;

mass of the sports car, m = 500 kg

initial velocity of the sports car, u = 0

final velocity of the sport car, v = 30 m/s

time of motion of the car, t = 6 s

The distance traveled by the sports car is calculated as;

\(s = (\frac{u+v}{2} )t\\\\s = (\frac{0+30}{2} ) \times 6\\\\s = 15 \times 6\\\\s = 90 \ m\)

Therefore, the distance traveled by the sports car is 90 m

The ice melts because Thermal energy from Jan’s hand is transferred to the ice.

Thermal energy is the energy due to temperature difference.

Thermal energy flows from hotter to colder bodies.

The ice Jan is holding melts because heat is transferred from his hands t the ice.

In conclusion, thermal energy flow causes melting.

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Answer:

its b

Explanation:

because the heat from your hand makes the ice melt!

Answer:

That the universe is "expanding"

Consider dots painted on the surface of a balloon - if the dots are moving away from one another, the balloon must be expanding.

Both the average and instantaneous velocities well be same over the given interval if the acceleration is zero.

Instantaneous velocity is the rate of differential change of displacement with respect differential change in time. Mathematically -

v = dx/dt

Given is the acceleration of a school bus over a given time interval as zero.

For acceleration over a given time interval to be zero, it must be ensured that the the velocity of the object should remain constant. Mathematically-

a = (v - u)/(t₂ - t₁)

For acceleration [a] = 0, v = u. Therefore -

a = 0

The instantaneous velocity for zero acceleration between the time interval t₁ to t₂ will be equal to initial velocity only -

dx/dt = u          

This will be the instantaneous velocity and is equal to (u) at any instant.

Now -

dx = u dt

Integrating both sides, we get -

∫dx = ∫u dt

x = ut

Therefore, the average velocity will be =

v(avg) = x/Δt = ut/Δt

Now -

t = Δt for any specific time interval. Therefore -

v(avg) = ut/t = u

This is the average velocity and it is equal to (u).

Therefore, both the average and instantaneous velocities well be same over the given interval if the acceleration is zero.

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The width of the central maximum on the screen is approximately 2.16 mm which is illuminated by light of wavelength 490 nm and passes through a 0.50-mm-diameter hole.

To calculate the width of the central maximum on the screen, we can use the formula for the angular width of the central maximum in a single slit diffraction pattern:

θ = 1.22 * (λ / a),

where:

θ - angular width of the central maximum,

λ - wavelength of the light, and

a - diameter of the hole.

λ = 490 nm

λ= 490 × 10⁻⁹ m (converted to meters),

a = 0.50 mm

a= 0.50 × 10⁻³ m (converted to meters).

Let's substitute the values into the formula:

θ = 1.22 * (490 × 10⁻⁹ / 0.50 × 10⁻³).

Simplifying the expression:

θ = 1.22 * (0.49 × 10⁻⁶ / 0.50 × 10⁻³).

θ = 1.22 * (0.49 / 500).

θ ≈ 1.22 * 0.00098.

θ ≈ 0.00120 radians.

To find the width of the central maximum on the screen, we can use the following relationship:

tan(θ) = (w / D),

where:

w - width of the central maximum on the screen, and

D - distance between the slit and the screen.

D = 1.8 m.

Rearranging the equation, we have:

w = D * tan(θ).

Substituting the values:

w = 1.8 * tan(0.00120).

Using a calculator:

w ≈ 1.8 * 0.00120.

w ≈ 0.00216 m.

Converting back to millimeters:

w ≈ 0.00216 * 1000 mm

w ≈ 2.16 mm.

Therefore, the width of the central maximum on the screen is approximately 2.16 mm.

The width of the central maximum on the screen is approximately 2.16 mm which is illuminated by light of wavelength 490 nm and passes through a 0.50-mm-diameter hole.

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The correct order of the waves based on their amplitudes from largest to smallest is W, X, Z, Y.

The amplitude of a wave is the maximum displacement or distance from the equilibrium position of a particle in a medium as a wave passes through it. In other words, it is the height or intensity of the peak of a wave.

The amplitude of a wave can be described as the amount of energy that is carried by the wave. For example, in a sound wave, the amplitude determines the loudness of the sound, while in an electromagnetic wave such as light, the amplitude determines the brightness of the light.

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For an interior of a refrigerator has a surface area of 2. 6 m2, The power is  is mathematically given as

P= 71.56W

Generally, the equation for the  Fourier's law  is mathematically given as

H = ∆Q/∆t = k∙A∙∆T/∆x

Therefore

H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m

H= 58.18J/s

For The coefficient of performance(COP)

COP = Q/W = H/P

Therefore

COP = 279.95K/(306.45K - 279.95K)

COP = 10.564

In conclusion

P = H/COP

P= 58.18W / 0.813

P= 71.56W

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In the - decay of 99mo, the energy released in the - decay of 99Mo is approximately 4.419 x 10⁻¹² joules (J).

The - decay of 99Mo releases energy in the form of beta particles (electrons) and antineutrinos. The energy released can be calculated using the mass difference between the parent nucleus (99Mo) and the daughter nucleus (99Tc), since the energy released is equal to the mass difference times the speed of light squared (E=mc²).

The mass difference between 99Mo and 99Tc is 0.004658 u. Therefore, the energy released in the - decay of 99Mo is approximately 4.419 x 10⁻¹² joules (J).

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Answer:

The function that describes the acceleration of the particle at time t is:

a(t) = -6 m/s^2.

Explanation:

To find the function that describes the acceleration of the particle at time t, we need to take the second derivative of the position function s(t).

Given:

s(t) = -3t^2 - 4t + 1

Taking the derivative of s(t) with respect to t will give us the velocity function v(t):

v(t) = d/dt [-3t^2 - 4t + 1]

= -6t - 4

Now, we can take the derivative of v(t) with respect to t to find the acceleration function a(t):

a(t) = d/dt [-6t - 4]

= -6

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v(speed) = wavelenght x frequency

v = 0.579 m x 4 hz = 2.32 m/s

If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.

Faraday's Law states that the electromotive force (EMF) induced in a circuit is proportional to the rate of change of magnetic flux passing through it. As the current in the straight wire increases, the magnetic field around it strengthens, and the change in magnetic flux through the circular loop causes an induced current. The direction of this induced current is determined by Lenz's Law, which states that the induced current will flow in such a way as to oppose the change in magnetic flux causing it.

In this case, as the magnetic field due to the straight wire increases, the induced current in the circular loop will flow in a direction that generates a magnetic field opposing the increase in the straight wire's magnetic field. The magnitude of the induced current depends on the rate of change of the magnetic field, the loop's size, shape, and distance from the straight wire, as well as the resistance of the loop's material. If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.

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The tool used to measure automatic preferences such as one's attitude towards different groups is called the Implicit Association Test (IAT). This tool measures psychology the strength of associations between mental representations of objects in memory.

The IAT assesses implicit biases that may not be consciously recognized or acknowledged by individuals. It is a widely used tool in social psychology research to understand the underlying attitudes and biases that people may have towards different social groups such as race, gender, and sexual orientation. The IAT involves categorizing various stimuli such as words or images into different categories as quickly as possible, which can reveal the strength of an individual's associations and biases. While the IAT is not without controversy and limitations, it remains a valuable tool for understanding automatic preferences and biases that may influence behavior and decision-making in subtle ways.

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The largest number of beats per second that will be heard from 763 and 774 Hz  pair of tuning fork .

The beat frequency is equal to the complete value of the alteration in the frequency of the two waves. The count of beats per second is equivalent to the difference in frequencies of two waves is called beat frequency.

A tuning fork is a two-pronged metal fork that can be used as an acoustic resonator. Traditionally, this tool has been used to tune musical instruments. Tuning forks work by releasing a perfect wave pattern to match a musician's instrument.

The largest number of beats per second that will be heard from 763 and 774 Hz  pair of tuning fork .

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Answer:

yes  it is write

Explanation:

The electromagnetic force is shown by image B

Electromagnetic force is one of the four fundamental forces of nature. It is a force that arises from the interaction between electrically charged particles. This force is responsible for the behavior of electrically charged objects, as well as the behavior of light and other electromagnetic radiation.

The electromagnetic force is a long-range force, meaning that it can act over large distances. It can be either attractive or repulsive, depending on the charges of the particles involved. Like charges repel each other, while opposite charges attract.

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The product label which Mateo should place in the marked cell is that it: B. provides electrical energy.

A product label can be defined as a paper-document with specific information about the chemical elements, nutrients, and other chemical compounds that are present in a product and its general use or function.

In this scenario, the product label which Mateo should place in the marked cell shown in the image attached below is that, this product was designed and developed to provide electrical energy, based on the electrical symbol for battery.

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Answer:

The magnets are surrounded by an invisible magnetic field that contains stored-up, or potential, energy. When attempting to push two like-sided poles together, the stored-up energy becomes movement, or kinetic energy, and forces them apart. The same principle happens when two unlike poles come together.

The amount of metal in a closed cylindrical can that is 10 cm high and 4 cm in diameter if the metal on the top and the bottom is 0.1 cm thick and the metal on the sides is 0.05 cm thick is 8.8 cm.

The formula for calculating the volume of a cylinder is given below.

V = πr^2 h

Get the differential of the volume as shown:

dV = V/ h dh + V / r dr

V/ h = πr^2

V/ h  = 2  πr h

Now, the differential becomes

dV =  πr^2dh +  2πrh dr

Given the following parameters

dh = 0.1 + 0.1 = 0.2 cm

dr = 0.05 cm

h = 10 cm

r = 4 cm

Substituting the values in the above equation, we get

dV = 3.14(2)^2(0.2)  + 2(3.14)(2)(10)(0.05)

dV = 2.512 + 6.28

dV = 8.792 cm

dV = 8.8 cm

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Answer:

Wind

Explanation:

I had this question on one of my tests, and I got it right

Answer:

11-false

12-false

13-false

14-false

15-false

Explanation:

11- Magnets only attract metal

12- They will repel not pull together

13- The magnet on the horseshoe is only magnetic to the hoof

14-Two opposites on a magnet will attract  eachother

15-NOOO

According to Newton's Second Law of Motion, if there is acceleration, there must be a net force acting on an object. This means that there must be an unbalanced force or a combination of forces that is causing the object to change its motion.

The magnitude and direction of the net force determine the rate of acceleration of the object. So, acceleration cannot occur without the presence of a net force.

To explain the relationship between acceleration and net force, we need to understand Newton's second law of motion.

Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be represented as:

Acceleration (a) = Net Force (F) / Mass (m)

If there is acceleration, it means that there must be a net force acting on the object. This is because, according to the formula, when net force (F) is zero, the acceleration (a) will also be zero. Therefore, for an object to accelerate, there must be a non-zero net force acting on it.

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Answer:

Explanation:

\(V^2=V^2_i+2a(x_f-x_i)\)

\(0.76^2=0^2+2a(15.2)\)

\(0.5776=30.4a\)

\(a=0.019m/s^2\)

The largest producer of primary air pollution in the United States is what? electricity producing plants.

Answer:

electricity production

Explanation:

Answer:

The black lines represent the energy absorbed by the electrons.

Explanation:

Atoms emit lights when they are excited. These lights are of particular wavelengths that match with different colors. A series of colored lines appear along with spaces in the middle of the two colors. The middle of the colors is filled with dark spaces. Each spectral line of an element represents a specific characteristic of the element. These colored lines appearing in the form of series are termed to be the atomic spectrum of the element. Identification of the elements is done through the line of the spectrum they possess.

Answer:

(B) The black lines represent the energy absorbed by the electrons.

Explanation:

The voltage necessary to produce a current of 200 amperes through a resistance of 1 x 10^-3 ohms is 0.02 volts.

To determine the voltage required, we can use Ohm's Law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R).

Write down the values given in the problem.

Current (I) = 200 amperes

Resistance (R) = 1 x 10^-3 ohms

Apply Ohm's Law to calculate the voltage.

\(V = I * R\\V = 200 A * 1 x 10\^ \ -\ 3 \ohm\Ω\\V = 0.02 volts\)

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At a fixed location, the phase changes by 55.04 radians during a time interval of 0.01 s.

First use the formula to find the wavelength of the wave:

wavelength = speed/frequency

Use the fact that the speed of a wave is related to its wavelength and frequency by the formula:

speed = wavelength x frequency

Rearrange this to get:

wavelength = speed/frequency

Now find the speed. Use the fact that the wave has a frequency of 880 Hz to find the wavelength using the formula:

speed = wavelength x frequency

speed = wavelength x 880

Use the given information that the difference in phase between two positions is π/3 radians.

The difference in phase between two positions is related to the difference in distance between those positions by the formula:

phase difference = 2π(distance difference)/wavelength

Rearrange this formula to get:

distance difference = wavelength(phase difference)/(2π)

Now substitute in the values:

distance difference = (speed/frequency)(π/3)/(2π)

Simplifying this expression gives:

distance difference = speed/(6frequency)

Find the speed to answer part (a). Using the earlier equation that relates speed, wavelength, and frequency:

speed = wavelength x frequency

substitute in the frequency and rearrange to get:

wavelength = speed/frequency

wavelength = (speed)/(880 Hz)

Use the given information in part (b) to find how much the phase changes during a time interval of Δt = 0.01 s.

The phase of a traveling wave changes over time according to the formula:

phase change = 2π(frequency)(time interval)

Substituting the given values gives:

phase change = 2π(880 Hz)(0.01 s) = 55.04 radians

Therefore, at a fixed location, the phase changes by 55.04 radians during a time interval of 0.01 s.

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Answer:

When there's no external force, the total momentum of system remains the same before and after collision

Less than the kinetic energy of the system before the collision

Explanation:

Definition of conservation of momentum

: the total linear momentum of a system of particles not acted upon by external forces is constant in magnitude and direction irrespective of any reactions among the parts of the system

Definition of inelastic collision:An inelastic collision is a collision in which there is a loss of kinetic energy.

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The process in which two waves overlap and form a new wave is called wave interference.

Wave interference occurs when two or more waves meet at the same point in space and time. When waves overlap, they combine their individual amplitudes and displacements, resulting in a new waveform. The behavior of wave interference depends on the phase relationship between the waves.

There are two types of wave interference: constructive interference and destructive interference.

Constructive interference: Constructive interference occurs when two waves with the same frequency and amplitude are in phase, meaning their crests and troughs align. In this case, the amplitudes of the individual waves add up, resulting in a new wave with a larger amplitude. Constructive interference leads to reinforcement of the wave and an increase in its intensity.

Destructive interference: Destructive interference occurs when two waves with the same frequency and amplitude are out of phase, meaning their crests and troughs are misaligned. In this case, the amplitudes of the individual waves subtract from each other, resulting in a new wave with a smaller or even zero amplitude. Destructive interference leads to cancellation of the wave and a decrease or elimination of its intensity.

The phenomenon of wave interference is observed in various contexts, including water waves, sound waves, and light waves. For example, when two water waves meet in a pond, they can create regions of constructive interference where the waves combine to form larger waves, as well as regions of destructive interference where the waves cancel each other out.

Wave interference plays a crucial role in many areas of science and technology. It is utilized in fields such as acoustics, optics, and telecommunications for applications such as noise cancellation, signal processing, and the creation of interference patterns.

In summary, wave interference is the process in which two waves overlap and combine to form a new wave. It can result in constructive interference, where the waves reinforce each other, or destructive interference, where the waves cancel each other out. Wave interference is a fundamental concept in wave physics and has numerous applications in various scientific and technological domains.

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