a box of mass 8.0 kg rests on a horizontal rough surface. a string attached to the box passes over a smooth pulley and supports a 2.0 kg mass at its other end, when the box is released, a frictional force of 6.0 n acts on it. (a) draw free-body diagrams of the 8.0 kg box and the 2.0 kg mass. (b) determine the (i) acceleration of the system, (in) tension in the string.

Answer:

23 ohm

Explanation:

I = I1 = I2 = 0.25A

V = 6 V

V = V1 + V2

6 = I1R1 + I2R2

6 = ( 0.25 × 1 ) + ( 0.25 × R2 )

6 = 0.25 + 0.25 R2

6 - 0.25 = 0.25 R2

5.75 = 0.25 R2

5.75 ÷ 0.25 = R2

R2 = 23 ohm

A scientific research consists of numerous critical phases. Here's a high-level summary of the procedure: Create a research question, then conduct a review of the literature. Create a hypothesis. Create your research, Gather information, Examine data, Interpret findings and communicate them.

Create a research question: Begin by picking a topic of interest and creating a clear and precise question that you wish to answer via your research.

Conduct a literature review : before beginning your study to establish what is already known about your issue and what research questions have not yet been answered.

Create a hypothesis: Based on your research topic and analysis of the literature, create a hypothesis that you can evaluate using your study

Plan your research as follows: Determine your data collecting and analysis approach, including the research design, population/sample, data gathering methods, and statistical analysis.

Gather information: Carry out your research and gather data in accordance with your approach.

Analyse data: Once you've gathered your information, use relevant statistical tools to test your hypothesis.

Results should be interpreted as follows: Interpret your findings and develop conclusions about your research issue based on your analysis.

Disseminate findings: Share your discoveries with others by publishing them in a scientific journal, giving a presentation at a conference, or another method.

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The tea absorbs 2613420 J of heat energy when it is placed in sunlight until it reaches an equilibrium temperature of 32.4°C.

To calculate the heat energy absorbed by the tea, we can use the formula:

Q = mcΔT

where Q is the heat energy absorbed by the tea, m is the mass of the tea, c is the specific heat capacity of water, and ΔT is the temperature change of the tea.

Using the given values, we get:

m = 500 g

c = 4186 J/kg·°C

ΔT = 32.4°C - 20°C = 12.4°C

Substituting these values into the formula, we get:

Q = (500 g)(4186 J/kg·°C)(12.4°C) = 2613420 J

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--The complete Question is, A jar of tea with a mass of 500 g is initially at a temperature of 20°C. If the jar is placed in sunlight until it reaches an equilibrium temperature of 32.4°C, how much heat energy is absorbed by the tea? Assume the specific heat capacity of the tea to be that of pure liquid water, which is 4186 J/kg·°C.--

Mass of the second object located at a distance r from the origin, r^ is the unit vector in the radial direction, and the negative sign indicates that the force

The System can refer to a set of interacting or interdependent components forming an integrated whole. The term can be applied to various fields, including physics, engineering, biology, and social sciences, among others. In physics, a system typically refers to a collection of objects or particles that are studied together, often with the goal of understanding the behavior of the system as a whole. In engineering, a system can refer to a group of components that work together to perform a specific function, such as an electrical power grid or an automobile engine. In biology, a system can refer to an organism or group of organisms that interact with their environment, such as an ecosystem or the human body.

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The correct options for how thermal energy is transferred during conduction are " Thermal energy is transferred between particles that are in direct contact with each other.", "Thermal energy is transferred between objects of different temperatures.", and "Thermal energy is transferred from fast-moving particles to slow-moving particles." The correct options are B, C, and F.

During conduction, thermal energy is transferred through a material or between objects in direct contact with each other. The transfer of thermal energy occurs because of temperature differences between the two objects or regions. When two objects at different temperatures are in direct contact with each other, the hot object transfers thermal energy to the cold object through collisions between the particles of the two objects. The fast-moving particles in the hot object collide with the slow-moving particles in the cold object, transferring thermal energy from the hot object to the cold object. This process continues until the two objects reach thermal equilibrium, meaning they have the same temperature and there is no more net transfer of thermal energy between them.

Option A is not true because thermal energy is actually transferred between particles that are in direct contact with each other, not particles that are not touching each other.

Option D is not true because thermal energy does not transfer between objects that are already at the same temperature. Heat transfer only occurs when there is a temperature difference.

Option E is not true because thermal energy actually flows from hot objects to cold objects. Therefore, thermal energy is transferred from fast-moving particles to slow-moving particles, not the other way around.

Therefore, The correct answers are  B, C, and F.

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Answer:

Moment of the force = (-10i-28j+32k)Nm

Explanation:

Moment of a force is expressed mathematically as force(F) multipled by its distance(d) and its unit is in newton metre (Nm).

F×d

(8i-4j+3k)×[(6i+2j+3k)-(2i+0j+k)]

-10i-28j+32k

Answer:The oxygen molecules have lost a total of 0.94 coulombs in charge of their electrons.

Explanation:No

Answer:

KE = 100J and PE = 100J

Explanation:

[tex]KE = 0.5*m*v^2\\PE = m*g*h\\KE = 0.5*2*100 = 100 J[/tex]

Potential energy at the start has to equal the kinetic energy at the end due to conservation of energy

The difference, between the higher and lower temperatures in Fahrenheit degrees is 87.8  °F.

​The difference, between the higher and lower temperatures in Fahrenheit degrees is calculated as follows;

The difference in the temperatures = 34 °C  -  3°C = 31 °C

Convert the temperature to Fahrenheit degrees as follows;

31 °C = 1.8C + 32

31 °C = 1.8 x 31  + 32

31 °C = 87.8  °F

Thus, the difference, between the higher and lower temperatures in Fahrenheit degrees is calculated using the conversion factor.

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Torque is a measure of the force that can cause an object to rotate about an axis. (answer taken from Khan Academy).

The cross-sectional area of this tungsten wire filament is 6.544 x 10⁻⁹m² and the power of this lightbulb when it is being operated at a potential difference of 120 volts is 60 watts.

The amount that a substance or a device obstructs the passage of an electric current is known as its resistance. It is described as the proportion of the voltage across a conductor to the current flowing through it.

The resistance formula may be used to get the tungsten wire filament's cross-sectional area:

R = (ρ * L) / A

where R is the resistance, is the tungsten's resistivity, L is the wire's length, and A is its cross-sectional area.

The resistance of the wire is 19 ohms at 20 °C. To find A, we can rearrange the equations as follows:

A = (ρ * L) / R

Inputting the values results in:

A = (5.6 x 10^-8 Ωm * 0.22 m) / 19 Ω

A = 6.544 x 10^-9 m^2

The tungsten wire filament's cross-sectional area is 6.544 x 10^-9 m^2, as a result.

The power formula may be used to determine the lightbulb's power:

P = V^2 / R

where P denotes power, V denotes potential difference, and R denotes resistance of the tungsten wire filament at 120 volts.

The wire's resistance at 120 volts is 240 ohms. Inputting the values results in:

P = (120 V)^2 / 240 Ω 

P = 60 W

Therefore, while the lightbulb is operating at a 120 volt potential difference, its output is 60 watts.

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The velocity of tossing the baseball is 24.5 m/s.

Time taken by the ball, t = 5 s

Displacement of the ball, s = 0

An object can be kept moving without the application of force. The only time a force is needed is to keep an acceleration going. Additionally, there is a downward force as well as a downward acceleration in the case of an upwardly moving projectile.

Applying the second equation of motion,

s = ut + 1/at²

s = ut + 1/2 (-g)t²

0 = ut - 1/2 gt²

ut = 1/2 gt²

Therefore, the velocity of toss,

u = 1/2 gt

u = 1/2 x 9.8 x 5

u = 24.5 m/s

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Answer:  The speed of sound in air depends on temperature, pressure, and humidity. For dry air at 26°C, the speed of sound is approximately 346 meters per second.

Let's call the distance between you and the fireworks "d". We can use the fact that the time it takes for the sound to reach you is 2.5 seconds longer than the time it takes for the light to reach you:

d = speed of sound x time delay

d = 346 m/s x 2.5 s

d = 865 meters

Therefore, the distance between you and the fireworks is approximately 865 meters.

This is an equation that can be used to calculate the velocity (V) required to launch an object from a ramp at an angle of 31.0 degrees with the horizontal, neglecting air resistance.

In the equation, g is the acceleration due to gravity (approximately 9.8 m/s^2) and r is the radius of curvature of the ramp. Since the radius is not given, we can assume it to be constant or ignore it altogether if it is not necessary.

The expression tan 31.0 degrees represents the slope of the ramp. By taking the tangent of the angle, we can determine the vertical component of the slope. This is important because it affects the force of gravity acting on the object. By taking the square root of the product of g and tan 31.0 degrees, we can determine the velocity needed to launch the object at the given angle.

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--The complete question is, What does this equation describes, V=√gr tan 31.0 grados?--

If the impulse is strong enough and lasts for a sufficient amount of time, the go-kart will eventually come to a stop.

Option A is correct.

impulse is described as the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity.

If the force is insufficient to stop the go-kart entirely, it will slow down but continue to move. The force and duration of the impulse, along with the mass and speed of the go-kart, will all affect how much deceleration occurs.

Given that momentum plus impulse equals zero, the go-kart's change in momentum as a result of the impulse will be equal in amount but will move in the opposite direction of its original momentum.

As a result, the go-kart's final momentum will be zero, suggesting that it has either stopped or is travelling very slowly.

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Answer:

Both Corks are subject to the same buoyant force

Explanation:

The buoyant force depends on the volume of the displaced liquid and the density of the liquid, but not the density of the floating object. So the buoyant forces will be the same on each cork whether the water it's floating in is normal or salty.

The projectile with the smallest angle of elevation will have the greatest kinetic energy just before impact.

All three projectiles have the same initial kinetic energy, which means that they all start with the same amount of energy. However, the kinetic energy of a projectile is related to its velocity and mass.

When a projectile is launched at an angle of elevation, its initial velocity will have both horizontal and vertical components. The vertical component of velocity will affect the time it takes for the projectile to reach the ground, but it does not affect the kinetic energy of the projectile just before impact.

Therefore, the projectile with the greatest kinetic energy just as it impacts with the ground will be the one with the largest horizontal component of velocity, which means it will travel the furthest horizontally before hitting the ground.

The horizontal component of velocity is determined by the angle of elevation and the initial velocity of the projectile. Therefore, the projectile with the smallest angle of elevation will have the largest horizontal component of velocity and therefore the greatest kinetic energy just before impact.

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Answer:

17.3 m/s

Explanation:

We can use the conservation of energy principle to find the velocity of the log when it hits the water. At the top of the waterfall, the log has gravitational potential energy, and at the bottom, it has kinetic energy. We can assume that there is no energy lost to friction or air resistance.

The gravitational potential energy of the log at the top of the waterfall is given by:

U = mgh

where m is the mass of the log, g is the acceleration due to gravity, and h is the height of the waterfall. Substituting the given values, we get:

U = (15.0 kg)(9.81 m/s^2)(30 m) = 4414.5 J

At the bottom of the waterfall, all of the gravitational potential energy has been converted to kinetic energy:

U = (1/2)mv^2

where v is the velocity of the log when it hits the water. Solving for v, we get:

v = sqrt(2U/m)

Substituting the value of U and m, we get:

v = sqrt(2(4414.5 J)/(15.0 kg)) = 17.3 m/s

Therefore, the velocity of the log when it hits the water is approximately 17.3 m/s.

Hope this helps!

The rate of radiation emitted by an identical surface at 54°C is 2,170,812.96 W. This is significantly higher than the rate of radiation emitted by the surface at 27°C, which was 100 W.

The Stefan-Boltzmann Law states that the rate of radiation emitted by a blackbody is proportional to the fourth power of its absolute temperature.

The rate of radiation emitted by an identical surface at 54°C can be found using the Stefan-Boltzmann Law.

Therefore, we can calculate the rate of radiation emitted by the surface at 54°C using the following equation:

Power emitted = σ x (Temperature)⁴

Where σ is the Stefan-Boltzmann constant, which is equal to 5.67 x 10⁻⁸ Wm⁻²K⁻⁴.

Plugging in the given values, we have:

Power emitted = 5.67 x 10⁻⁸ Wm⁻²K⁻⁴ x (54 + 273)⁴

Power emitted = 2,170,812.96 W

Therefore, the rate of radiation emitted by an identical surface at 54°C is 2,170,812.96 W. This is significantly higher than the rate of radiation emitted by the surface at 27°C, which was 100 W. This is due to the fact that the fourth power of the absolute temperature of the surface is much higher at 54°C than at 27°C.

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The rate of radiation emitted by an identical surface at 54°C is 2,170,812.96 W. This is significantly higher than the rate of radiation emitted by the surface at 27°C, which was 100 W.

The Stefan-Boltzmann Law states that the rate of radiation emitted by a blackbody is proportional to the fourth power of its absolute temperature.

The rate of radiation emitted by an identical surface at 54°C can be found using the Stefan-Boltzmann Law.

Therefore, we can calculate the rate of radiation emitted by the surface at 54°C using the following equation:

Power emitted = σ x (Temperature)⁴

Where σ is the Stefan-Boltzmann constant, which is equal to 5.67 x 10⁻⁸ Wm⁻²K⁻⁴.

Plugging in the given values, we have:

Power emitted = 5.67 x 10⁻⁸ Wm⁻²K⁻⁴ x (54 + 273)⁴

Power emitted = 2,170,812.96 W

Therefore, the rate of radiation emitted by an identical surface at 54°C is 2,170,812.96 W. This is significantly higher than the rate of radiation emitted by the surface at 27°C, which was 100 W. This is due to the fact that the fourth power of the absolute temperature of the surface is much higher at 54°C than at 27°C.

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L/R = L / R is the formula for an RL circuit's time constant. 7.50 mH 3.00 = 2.50 ms with LR = 7.50 mH 3.00.

Circuit capacitance and circuit resistance combine to form the RC time constant ().(C). In contrast, a capacitor linked in series with a resistor takes time to charge up to around 36.8% of its full value. It is a significant metric since it represents the growth or decay rate of the circuit.

Tau is relatively simple since = RC. The time constant of an RC circuit is important because it ties the values of R and C to the capacitor voltage directly. A capacitor may be charged to a 63% charge by applying a single continuous charge, according to experiments.

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The refracted angle of the electromagnetic wave in glass (θ₂) is approximately 59.64° when the incident angle (θ₁) is 25°.

The refracted angle, denoted as θ₂, can be calculated using Snell's Law, which relates the incident angle, refracted angle, and the refractive indices of the two media involved.

Snell's Law states:

n₁ × sin(θ₁) = n₂ × sin(θ₂)

where:

n₁ = refractive index of the first medium (water) = 1.3

θ₁ = incident angle of the wave in the first medium = 25°

n₂ = refractive index of the second medium (glass) = 1.5

θ₂ = refracted angle of the wave in the second medium

Plugging in the given values:

n₁ = 1.3

θ₁ = 25°

n₂ = 1.5

Can rearrange Snell's Law to solve for θ₂:

θ₂ = arcsin((n₁/n₂) × sin(θ₁))

Now we can substitute in the values and calculate θ₂:

θ₂ = arcsin((1.3/1.5) × sin(25°))

θ₂ = arcsin(0.8667)

θ₂ ≈ 59.64°

So the refracted angle of the electromagnetic wave in glass (θ₂) is approximately 59.64° when the incident angle (θ₁) is 25°.

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The question is incomplete. Here is how to get magnitude and direction

To find the magnitude and direction of a vector, follow these steps:

Write the vector in component form:

For a two-dimensional vector, write it as <x, y>, where x and y are the components of the vector along the x-axis and y-axis, respectively. For a three-dimensional vector, write it as <x, y, z>, where x, y, and z are the components of the vector along the x-axis, y-axis, and z-axis, respectively.

Calculate the magnitude of the vector:

The magnitude of a vector is the length of the vector, which can be found using the Pythagorean theorem. For a two-dimensional vector <x, y>, the magnitude is sqrt(x^2 + y^2). For a three-dimensional vector <x, y, z>, the magnitude is sqrt(x^2 + y^2 + z^2).

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the force F required for equilibrium is 128.397 N.

There are two main forces: the weight of the cylinder A and the hydraulic pressure acting on the piston B. The weight of A is given by:

W = m*g = 13 kg * 9.81 m/s^2 = 127.53 N

P = rho x gx h

where

h = (15000 mm^2) / (2 m^2) = 0.0075 m

pressure is:

P = 780 kg/m^3 * 9.81 m/s^2 * 0.0075 m = 57.79 N/m^2

Force = P*A

A = 15000 mm^2 = 0.015 m^2

Force = 57.79 N/m^2 * 0.015 m^2 = 0.867 N

Solving  for the force required for equilibrium:

Force = W + P*A

Force = 127.53 N + 57.79 N/m^2 * 0.015 m^2

= 127.53 N + 0.867 N

= 128.397 N

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Answer:

50 minutes

Explanation:

Since we need to find time, Time or T = Q / I. Thus, the time taken for current of 5mA to deliver 15c of charge is 3000 seconds which is equivalent to 50 minutes.

Answer:

The approximate temperature required to begin fusion in a star is C. 14 million kelvins. This temperature is high enough to overcome the electrostatic repulsion between positively charged atomic nuclei, allowing them to fuse and form heavier elements.

Answer:

7.00 KJ

Explanation:

GPE = mgh

m equals mass (kg)

g is a constant which equals 9.81 m/s

h equals height (m)

GPE = (25.8 kg)(9.81 m/s)(27.66 m)

GPE = 7,000.69 J or 7.00 KJ

Answer:

Water and hydrogen peroxide are different substances because they have different chemical formulas and molecular structures. Water has the chemical formula H2O, meaning that it has two hydrogen atoms and one oxygen atom. Hydrogen peroxide has the chemical formula H2O2, meaning that it has two hydrogen atoms and two oxygen atoms. The difference in their molecular structures leads to different chemical and physical properties, such as boiling points, melting points, and reactivity.

Explanation:

The velocity reached by the soccer player is 2.7 m/s.

Impulse applied by the soccer player = 200 Ns

Mass of the soccer player = 74 kg

According to impulse-momentum theorem, the average net external force multiplied by the time it takes for that force to take effect equals the impulse, which is equal to the change in momentum.

Impulse = Fnet × t

Fnet x t = ma × t = m × v

mv = ΔP

where ΔP is the change in momentum.

So,

The change in momentum of the player, ΔP = 200 Kgm/s

So, velocity reached, v = 200/74

v = 2.7 m/s

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