16. Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the earth is 6 x 10^24 kg, the mass of Jupiter is 1898.6 x 10^24 kg and the closest distance is abou

Answers

Answer 1

The gravitational force of attraction between the Earth and Jupiter is approximately 1.32 x 10²⁸ N.

The gravitational force of attraction between two objects can be calculated using Newton's law of universal gravitation, which states that the force (F) is proportional to the product of their masses (m₁ and m₂) and inversely proportional to the square of the distance (r) between their centers. Mathematically, the formula is expressed as:

F = (G * m₁ * m₂) / r²

where G is the gravitational constant.

m₁ = 6 x 10²⁴ kg (mass of Earth)

m₂ = 1898.6 x 10²⁴ kg (mass of Jupiter)

r = 5.88 x 10¹¹ m (distance between Earth and Jupiter)

Plugging in the values into the formula, we have:

F = (6.67 x 10⁻¹¹ N m²/kg²) * (6 x 10²⁴ kg) * (1898.6 x 10²⁴ kg) / (5.88 x 10¹¹ m)²

Calculating the expression, we find:

F ≈ 1.32 x 10²⁸ N

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THE COMPLETE QUESTION IS:

Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the earth is 6 x 10²⁴ kg the mass of Jupiter is 1898.6 x 10²⁴ kg and the closest distance is about 5.88 x 10¹¹


Related Questions

Deanna and Kelly were lifting weights. Kelly was easily doing the exercise and she didn't feel like the exercise was very intense. Deanna suggested she increase the weight stack amount by 50 percent. Kelly was using 8 pounds initially. What amount should she use based on Deanna's suggestion? (2 points)

Answers

12 pounds

50% of 8 pounds is 4 pounds, so a 50% increase is adding 4 pounds, which is 8+4 which equals 12.

A person sitting in an artificial satellite of the earth feels weightlessness, but a person standing on moon has weight through the moon is a satellite of the earth. Why?​

Answers

Because Mass of moon is considerable

What is the Law of Conservation of Energy?

Answers

Answer:

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another.

Explanation:

Hope this helped, Have a Great Day!!

the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time. ... For systems which do not have time translation symmetry, it may not be possible to define conservation of energy

Which type of electromagnetic radiation is responsible for the colors of
objects?
O A. Radio waves
O B. X-rays
O C. Visible light
O D. Ultraviolet radiation

Answers

Answer:

C. Visible light

Explanation:

Visible light is responsible for the colors of objects.

Hope it will help :)❤


True
False

PLEASE HELP

TrueFalsePLEASE HELP

Answers

Answer:

False

Explanation:

10 is not the same as -10 but if -10 is the absolute value they would be the  same

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1. Se tienen 10 moles de gas nitrógeno molecular: N2 en un recipiente a 400 K. Manteniendo la temperatura a 400 K y las 10 moles en el recipiente se disminuye la presión desde 10 atm a 1 atm para obtener un volumen final del gas de 20 litros. El volumen inicial del gas a. 0,5 litros b. 2 litros c. 100 litros d. 200 litros

Answers

Answer:

B. 2 litros.

Explanation:

De acuerdo con el enunciado, el gas experimenta un proceso isotérmico y se conserva su masa. Asumiendo que el gas se comporta idealmente, tenemos la siguiente relación entre los estados final e inicial:

\(P_{1}\cdot V_{1} = P_{2}\cdot V_{2}\) (1)

Donde:

\(P_{1}, P_{2}\) - Presiones inicial y final, medidos en atmósferas.

\(V_{1}, V_{2}\) - Volúmenes inicial y final, medidos en litros.

Si sabemos que \(P_{1} = 10\,atm\), \(P_{2} = 1\,atm\) y \(V_{2} = 20\,L\), entonces el volumen inicial del gas es:

\(V_{1} = \frac{P_{2}\cdot V_{2}}{P_{1}}\)

\(V_{1} = 2\,L\)

Por lo tanto, la respuesta correcta es B.

A parallel circuit contains a battery with a voltage of 9 V. The total resistance in the circuit is 18 ohms. Which claim about the current in the circuit can be supported mathematically from the relationships between voltage, current, and resistance? A.
the current flowing through the circuit is 0.5 amps because current is related to voltage and resistance by the formula I = V/R

B.
the current flowing through the circuit is 162 amps because current is related to voltage and resistance by the formula I = VR

C.
the current flowing through the circuit is 27 amps because current is related to voltage and resistance by the formula I = R + V

D.
: the current flowing through the circuit is 2 amps because current is related to voltage and resistance by the formula I = R/V

Answers

Answer:

Its C I fell confident

Explanation:

I took 2 hrs I tried on this for u dont get mad have a wonderful day :D

So the incorrect option is C the current flowing through the circuit is 27 amps because the current is related to voltage and resistance by the formula I = R + V

What is resistance?

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who studied the relationship between voltage, current and resistance.

Ohm's Law is a formula used to calculate the relationship between voltage, current and resistance in an electrical circuit.

To students of electronics, Ohm's Law (E = IR) is as fundamentally important as Einstein's Relativity equation (E = mc²) is to physicists.

E = I x R

So the incorrect option is C the current flowing through the circuit is 27 amps because the current is related to voltage and resistance by the formula I = R + V

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The Hubble Space Telescope is observing a distant Type 1 supernova with peak apparent magnitude 24. Using the light curve in your book (21.8) estimate how long after the peak brightness the supernova will become too faint to be seen.
- 270 days
- 1 year
- 125 days
- 50 days

Answers

Based on the light curve in the book, the distant Type 1 supernova will become too faint to be seen approximately 270 days after reaching its peak apparent magnitude of 24.

According to the given information, the peak apparent magnitude of the distant Type 1 supernova is 24. By referring to the light curve in the book, we can estimate the duration for which the supernova remains visible. Typically, the brightness of a supernova decreases exponentially over time.

While specific light curves may vary, a rough estimate can be made. Considering the options provided, the closest estimate is approximately 270 days. This means that after the supernova reaches its peak brightness, it will gradually fade and become too faint to be observed after around 270 days.

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A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.

Answers

The astronomer on duty going to have a bit of a problem satisfying her request because after a white dwarf cools off it will become too cold and dark to emit seen light.

The enlargement and contraction of pulsating variables can be measured through the use of the Doppler impact. The lines in the spectrum shift in the direction of the blue because the floor of the celebrity moves closer to us and then shifts to the pink because the surface shrinks again.

Astronomers take a look at planets, stars, and different celestial bodies. They use ground-based devices, including optical telescopes, and area-based total gadgets, consisting of the Hubble Space Telescope. some astronomers look at distant galaxies and phenomena which include black holes and neutron stars.

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Lenz’s Law states that the induced EMF opposes the change in the magnetic field. Imagine you were actually turning the water wheel by hand to generate current. Would the wheel resist motion? Describe your reasoning. Faraday’s Law can be summarized with the formula emfmax – NABω. Describe each variable and how it affects emf.
N :
A :
B :
ω :
Transformers use the ratio of the number of loops in the primary (input) coil to the loops in secondary (output) coil to determine the step, or what will happen to the voltage (emf) in the system. A transformer with 500 loops in the primary and 1000 loops in the secondary is a 2:1 step-up transformer that will double the input voltage. Is this free energy? Describe your reasoning.
When the polarity of a moving magnet in a coil is flipped, the emf increases / decreases / remains the same.
The power output of a transformer is 100. W. The input voltage is 25V. What is the coil-turn ratio of the transformer if the output current is 1.0 A? ______________

Answers

When turning a water wheel by hand to generate current, the wheel would resist motion due to Lenz's Law, which states that the induced EMF opposes the change in the magnetic field. In a transformer with a 2:1 step-up ratio, the output voltage is doubled, but it is not free energy as the transformer operates based on energy conservation principles.

Lenz's Law states that the induced electromotive force (EMF) opposes the change in the magnetic field. When turning a water wheel by hand to generate current, the wheel would resist motion due to Lenz's Law, as the induced EMF would create a magnetic field opposing the applied force.

In Faraday's Law (emf_max = NABω), the variables are defined as follows:

N: Number of turns in the coil

A: Area of the coil

B: Magnetic field strength

ω: Angular frequency of the changing magnetic field

N represents the number of turns in the coil and affects the magnitude of the induced EMF. A larger number of turns (N) would result in a higher induced EMF.

A refers to the area of the coil, and a larger coil area (A) would result in a higher induced EMF.

B represents the magnetic field strength, and a stronger magnetic field (B) would result in a higher induced EMF.

ω is the angular frequency of the changing magnetic field, and a higher angular frequency (ω) would result in a higher induced EMF.

In a transformer with a 2:1 step-up ratio (500 loops in the primary, 1000 loops in the secondary), the voltage is doubled in the output. However, this is not free energy as the transformer operates based on the principle of energy conservation, transferring electrical energy from the primary to the secondary coil with losses due to factors like resistance and magnetic hysteresis.

When the polarity of a moving magnet in a coil is flipped, the induced EMF changes direction, resulting in an increase or decrease depending on the relative motion of the magnet and the coil.

To determine the coil-turn ratio of a transformer with a power output of 100 W, input voltage of 25V, and output current of 1.0 A, we can use the formula:

Power output = Power input

Power input = Voltage input * Current input

Power output = Voltage output * Current output

Substituting the given values:

100 W = 25 V * Current input

Current input = 100 W / 25 V

Current input = 4.0 A

The coil-turn ratio is then calculated using the formula:

Coil-turn ratio = Voltage output / Voltage input

Coil-turn ratio = Current input / Current output

Coil-turn ratio = 4.0 A / 1.0 A

Coil-turn ratio = 4:1

Therefore, the coil-turn ratio of the transformer is 4:1.

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after the parcel of air has descended down the lee side of mountain to sea level, what is the temperature of the parcel

Answers

The temperature of the parcel would be higher than it was before it ascended up the windward side of the mountain.

After the parcel of air has descended down the lee side of the mountain to sea level, its temperature would have increased due to the process of adiabatic compression.

This means that the air molecules in the parcel would have been squeezed closer together, causing an increase in temperature by approximately 10°C for every 1000 meters of descent.

Therefore, the temperature of the parcel would be higher than it was before it ascended up the windward side of the mountain.

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What is energy efficiency in dishwater?

Answers

Dishwashers' efficiency to use energy more effectively can lead to decreased energy bills and a lessening of their negative effects on the environment.

Dishwasher energy efficiency is normally assessed using a standardized rating system that takes into account a number of variables, such as the quantity of water used, the energy needed to heat the water, and the amount of energy consumed by the dishwasher's engine and other parts.

More energy-efficient dishwashers are often made to use less electricity and water, which may save a lot of money over time.

Moreover, some energy-saving dishwashers could include extra features like dirt sensors and delayed start choices that can improve their efficiency while using less electricity.

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Thermal expansion means ____as the temperature

a. More strength, increases

b. More atomic movement, decreases

c. Atomic attraction, increases

d. More atomic movement, increases

Answers

Answer: Thermal expansion is the tendency of matter to change its shape, area, volume, and density in response to a change in temperature, usually not including phase transitions.

Explanation:

Answer:

I believe the answer is c I believe not a 100% sure on this one.

Explanation:

Thermal expansion, the general increase in the volume of a material as its temperature is increased. ...

A boy pushes a skater with a force of 125N at an angle of 30.0° while pushing them 20.0m. How much work was done on the skater?2165J1250J-2470J386J

A boy pushes a skater with a force of 125N at an angle of 30.0 while pushing them 20.0m. How much work

Answers

The skater was work done is 2165J. Option A.

In practice, we know that the frictional forces between the skateboard and the ramp eventually bring the skater to a stop. Friction is the damping force that actually slows things down. As mentioned earlier skaters have the most potential energy at the top of the slope.

calculation:-

work done = force × displacement

= 125 × 20 cos 30°

= 125 × 20 × 0.87

= 2175 J

As the skater descends the slope the potential energy decreases and the kinetic energy increases. The skater has mechanical/gravitational potential energy at the 2m mark. On the other side of the slope, the skater reaches a height of 2 meters. From the point of view of energy conservation, the skater at the opposite end of the slope does not exceed 2 meters. This is because energy is neither created nor destroyed.

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Investigators studying the effect of hitting a soccer ball with the head are using a force plate to look at the forces in ball collisions; the force when the ball hits a player's head will be similar. A 0.43 kg ball is launched at a force plate at 16 m/s. Smoothed data for the force versus time for the collision are shown in (Figure 1).

Answers

The integral of the function of the force applied to the time of application

of the force gives the impulse of the force.

The speed with which the ball rebounds from the plate is approximately

34.23 m/s.

Reasons:

Force = Rate of change of momentum

F × t = m·(v₂ - v₁)

Where;

Speed of the ball, v₁ = 16 m/s

v₂ = The speed with which the ball rebounds from the plate

The impulse, I, of the force is given by the area under the curve.

The height of the triangular curve, h = 2,500 N

The base length of the triangular curve = 7 ms.

Area of a triangle = \(\frac{1}{2}\) × Base length × Height

Therefore, we have;

\(Area \ under \ the \ curve, \, I = \dfrac{0.007 \times 2500}{2} = 8.75\)

8.75 = 0.48 × (v₂ - 16)

v₂ ≈ 34.23 m/s

Therefore, the speed with which the ball rebounds, v₂ ≈ 34.23 m/s.

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An inclined plane reduces the amount of force needed to move an object by a.increasing the distance the object moves.
b.transferring more of the force to the object
c.reversing the direction the object is moved.y

Answers

By (a) extending the object's travel distance, an inclined plane decreases the force required to move the object.

What is force?

At this point, describing a force as a push or a pull is perfectly acceptable. There is no such thing as a force that an object "has in it" or "contains." A force is applied to one thing by another. The idea of a force encompasses both living and non-living things.  A force has the ability to alter or increase the velocity of a massed object. A simple way to express force is with a push or a pull.. The fact that a force has both a magnitude and a direction makes it a vector quantity.

How many types of force are there?

Contact forces and remote action There are two distinct kind of forces. Your consistent use of force is obvious. Push and pull are basically forces. When you push or pull against an object, you apply force to it.

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How much would a 25 kg suitcase weigh on the surface of…?

a. Mercury

b. Mars

c. Saturn

d. Pluto

Answers

Answer:

a) \(W_{Mercury}=92.5 N\)

b) \(W_{Mars}=92.8 N\)

c) \(W_{Saturn}=261.0 N\)

d) \(W_{Pluto}=15.5 N\)

Explanation:

First of all, we need to remember the value of gravity acceleration on each planet.

\(g_{Mer}=3.70 m/s^{2}\)

\(g_{Mar}=3.71 m/s^{2}\)

\(g_{Sat}=10.44 m/s^{2}\)

\(g_{Plt}=0.62 m/s^{2}\)

The definition of weigh is the product between the mass and the gravity acceleration, therefore we will have:

a) \(W_{Mercury}=25*3.70=92.5 N\)

b) \(W_{Mars}=25*3.71=92.8 N\)

c) \(W_{Saturn}=25*10.44=261.0 N\)

d) \(W_{Pluto}=25*0.62=15.5 N\)

I hope it helps you!

Segment D - E : The bus is speed_____ It is gradually increasing it's

A slowing down
B speeding up
C constant speed
D at rest

Plss help

Answers

B.) Speeding up......

What comes to mind when you hear the word business? Did you quickly think of a store or restaurant? There are many more examples and shapes that business can and do take on a regular basis. Please share what you believe business looks like in our current world
5 sentences

Answers

The several forms of businesses that exists in our current world include;

restaurantsgas stationscar dealershipshealthcare services

What is business?

A business refers to a commercial activity that an individual or organization engage in which may involve other activities which support the main activity of the business.

When the word business is heard, what usually comes to mind is the activity that occurs in stores which involves buying and selling of produce and goods.

However, several forms of businesses exists such as;

restaurantsgas stationscar dealershipshealthcare services

In conclusion, the sole aim of a business is to make profit whether it involves commercial activities or not.

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Postsynaptic potentials of neurons are considered to be ______________, whereas action potentials are ______________.

Answers

Neuronal postsynaptic potentials are seen as graded potentials, as opposed to action potentials which are either on or off.

Changes in the membrane potential of a neuron that can range in magnitude are called graded potentials; examples include postsynaptic potentials. The combined effects of excitatory and inhibitory inputs from several synapses are to blame. The strength of an input determines the amplitude of a graded potential, which can be depolarizing (excitatory) or hyperpolarizing (inhibitory).

A neuron's membrane potential undergoes transient and fast alterations during action potentials. When the membrane potential rises above a specific point, they become active. An action possibility either occurs in its whole or not at all. Once an action potential is established in a neuron, it continues to carry its full amplitude as it travels through the axon.

In conclusion, postsynaptic potentials are continuous, varying potentials, while action potentials are discrete, non-attenuating events that go through the neuron.

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Can some one please explain how to read this and what the answer would be?

Can some one please explain how to read this and what the answer would be?

Answers

1 to 2 seconds because it had the steepest slope

Answer:

4 to 5

Explanation:

What happens when heavy exercise results in too much acid in the human body? Excess H+ is absorbed by bicarbonate ions.
Bicarbonate releases one H+ to become carbonate.
H2CO3 is formed from H2O and CO2.
Bicarbonate is formed from carbonate.

Answers

It’s A, Excess H+ is absorbed by bicarbonate ions.

Answer:

A: Excess H+ is absorbed by bicarbonate ions.

Explanation:

Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x107 N/m2. If a rock climber of mass 86.3 kg falls when there is 44.9 m of rope out, how far will the rope stretch

Answers

The rope will stretch 4.76 mm when the rock climber falls 44.9 m.

What is stretch?

Stretch is a form of physical exercise that is designed to increase flexibility, range of motion and muscle endurance. It is usually done in a slow and controlled manner, with each movement being held for a short period of time. Stretching can help reduce joint and muscle pain, improve posture, reduce the risk of injury and improve overall performance. It can also be used to help reduce stress, improve circulation and reduce muscle tension. Regular stretching can be beneficial for both athletes and non-athletes alike, as it can help to improve range of motion, performance, and overall well-being.

The amount of stretch in the rope is determined by the formula:
Stretch = (mass x acceleration due to gravity x distance fallen) / (Young's modulus x cross sectional area of rope)
In this case, the calculation is as follows:
Stretch = (86.3 kg x 9.81 m/s² x 44.9 m) / (8.72x107 N/m² x 0.0077 m²)
Stretch = 4.76 mm
Therefore, the rope will stretch 4.76 mm when the rock climber falls 44.9 m.

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We are studying the properties of a 10 L vessel of an ideal gas at 300 K and 10 atm of pressure inside. We can fix the volume or the pressure of the vessel as we like. if we decrease the temperature to 200 k at constant pressure, what would the new volume be?

Answers

the characteristics of the a 10 L ideal gas vessel filled with it at a pressure of 10 atm and temperature of 300 K. any desired changes in the vessel's volume or pressure. 30L of liquid will be produced at constant pressure when the temperature is 200 k.

What is pressure, and what is the formula for it?

That amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Pressure is a force-area relationship; pressure = force area. Pascal is the SI pressure measurement (pa).

How is pressure determined?

The formula for calculating pressure is P = F / A, or force for unit of the surface area. The SI unit in measuring pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa). One Newton per sq.m of force exerted perpendicularly on a surface is equal to one pascal.

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What is the same about a particle as gas, liquid, or solid?
A. The speed at which the particles move.
B. The volume that the substance takes up.
C. The chemical composition.
D. The temperature of the substance.

Answers

I am pretty sure the answer is c using process of elimination.

The thing same about a particle as gas, liquid, or solid is its chemical composition.

What are states of matter?

Matter exists in three different states: solid, liquid, and gas. By examining the configuration of their particles, it is possible to understand why they have various qualities. Theoretically, at this temperature, particles move slowly and have the least amount of energy.

Phase refers to the material's actual state. To pay attention to is the word physical. Only physical means can change the state of matter. You can make a physical change if energy is added (by raising the temperature) or subtracted (by freezing things).

The chemical composition of matter same about a particle as gas, liquid or solid.

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A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank

Answers

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

Work done calculation

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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Einstein’s theory of general relativity is currently the best explanation of gravity . What is likely to happen to this theory in the future

Answers

Answer:

2.00

Explanation:

Answersdff:

Explanation:

What fraction of cork is submerged when it floats in freshwater, given the density of water at 0°C is very close to 1000 kg/m3?

Answers

When cork floats in freshwater, about 24% of it is submerged while 76% is above the water.

When cork floats in freshwater, a fraction of cork that is submerged is given by the ratio of the density of cork to the density of freshwater, which is determined by Archimedes' principle. Archimedes' principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. When an object is completely or partially submerged in a fluid, it experiences a buoyant force equal in magnitude to the weight of the fluid it displaces.

Fraction of cork that is submerged when it floats in freshwater can be calculated as follows;

The density of cork is approximately 240 kg/m³ while the density of freshwater is roughly 1000 kg/m³.

Using Archimedes' principle, the fraction of cork that is submerged is:

240 kg/m³ / 1000 kg/m³= 0.24 or 24%

Thus, when cork floats in freshwater, about 24% of it is submerged while 76% is above the water.

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The fraction submerged will be 28/100 = 0.28 of the cork (assuming the density of the cork is 280 kg/m³).

What fraction of cork is submerged when it floats in freshwater?

When an object floats in a fluid, it experiences an upward buoyant force that is equal to the weight of the fluid it displaces.

To determine the fraction of cork submerged when it floats in freshwater, we need to compare the density of cork to the density of water. If the density of an object is less than the density of the fluid it is placed in, it will float, and the fraction of the object submerged can be calculated.

The density of cork varies depending on its composition and can range from approximately 240 kg/m³ to 320 kg/m³. However, for this calculation, we will assume the density of cork is the middle value; 280 kg/m³.

Given that the density of water at 0°C is approximately 1000 kg/m³, we can use the following formula to calculate the fraction of cork submerged:

Fraction  = Density of cork / Density of water

Fraction  = 280 kg/m³ / 1000 kg/m³

Fraction = 0.28

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a beetle runs an erratic pattern on a square kitchen table that is 1.5 m on a side. the sides are arranged along the directions north/south and east/west. it begins at the southwest corner and travels east along one side to the adjacent corner in 20.0 s. it then turns north and reaches the northeast corner 12.5 s later. what is the magnitude of the beetle's average velocity for the whole trip?

Answers

The magnitude of the beetle's average velocity for the whole trip is approximately 0.106 m/s.


To find the magnitude of the average velocity, we'll need to calculate the total displacement and total time.

The table is 1.5 m on each side.

The beetle travels along two sides, so its total displacement is 1.5 m + 1.5 m = 3.0 m.

The total time taken is 20.0 s + 12.5 s = 32.5 s.

The average velocity can be calculated as:
Average velocity = Total displacement / Total time
Average velocity = 3.0 m / 32.5 s ≈ 0.092 m/s


Summary: The magnitude of the beetle's average velocity for the whole trip on the square kitchen table is approximately 0.092 m/s.

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Final answer:

The beetle's average velocity for the trip is calculated by finding the total displacement (2.12 m) and dividing it by the total time (32.5 s). This results in an average velocity of 0.065 m/s.

Explanation:

The subject of this question is Physics, particularly dealing with concepts of displacement, average velocity, and vector quantities. The average velocity, in this case, is the total displacement (change in position) divided by the total time. The beetle's trip consists of two legs: first, it travels east for 1.5 m, then turns north and travels for another 1.5 m. This makes the total displacement of the beetle to be 1.5 m east + 1.5 m north = 2.1 m in a northeast direction. The total time of this trip is 20.0 s + 12.5 s = 32.5 s.

When it comes to calculating the magnitude of this displacement (ignoring the north/east directions and focusing only on the total distance), we need to consider that the beetle has essentially moved diagonally across a square table. If we treat this as a 45-degree right triangle, where the legs are each 1.5 m, the hypotenuse (total displacement) can be found using the Pythagorean theorem: hypotenuse = √(1.5^2 + 1.5^2) ≈ 2.12 m.

The average velocity of the beetle is now found by dividing this total displacement by the total time: average velocity = total displacement / total time = 2.12 m / 32.5 s = 0.065 m/s. So, the magnitude of the beetle's average velocity for the entire trip is 0.065 m/s.

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If a FM radio station broadcasts at 80. 3 MHz (megahertz), what is its wavelength in m (speed of light 3. 0 x 108 m/s)

Answers

Answer:

Wavelength = 3.74 m

Explanation:

In order to find wavelength in "metres", we must first convert megahertz to hertz.

1 MHz = 1 × 10⁶ Hz

80.3 Mhz = x

x = 80.3 × 1 × 10⁶ = 8.03 × 10⁷ Hz

The formula between wave speed, frequency and wavelength is:

v = fλ  [where v is wave speed, f is frequency and λ is wavelength]

Reorganise the equation and make λ the subject.

λ = v ÷ f

λ = (3 × 10⁸) ÷ (8.03 × 10⁷)

λ = 3.74 m [rounded to 3 significant figures]

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