Calculate the center of mass, or balancing point, for the collection of single point masses m1=2 at x1=1 and m2=4 at x2=3

Answers

Answer 1

the center of mass or balancing point for the given collection of point masses is approximately located at\(x_{com}\) = 2.33.

To calculate the center of mass or balancing point for a collection of point masses, we need to consider both the masses and their respective positions.

The center of mass (\(x_{com}\)) can be determined using the formula:

\(x_{com}\) = (m1 * x1 + m2 * x2 + ...) / (m1 + m2 + ...)

Given the masses and positions:

m1 = 2, x1 = 1

m2 = 4, x2 = 3

We can substitute these values into the formula:

\(x_{com}\) = (2 * 1 + 4 * 3) / (2 + 4)

     = (2 + 12) / 6

     = 14 / 6

     = 7 / 3

     ≈ 2.33

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Related Questions

7. True or False : All the energy in the universe that exists right now is all there
ever will be

Answers

True is the correct answer hope this helps

As a light beam travels from air to glass, its...

Select one:
a. speed remains constant.
b. speed changes.
c. frequency changes.
d. wavelength remains constant.​

Answers

Answer:

B. speed changes

Explanation:

As a light beam goes from air to glass, refraction occurs making it slow down, meaning the speed changes.

Classify each process according to whether it does or does not produce a new substance.
cooking an egg
melting ice
fireworks exploding
evaporating puddle of water
rusting of a metal tool
dissolving of salt in water
Produces a New Substance
Does Not Produce a New
Substance
Resul
Glosse
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Langur

Classify each process according to whether it does or does not produce a new substance.cooking an eggmelting

Answers

The processes under chemical change are: cooking an egg, fireworks exploding, and rusting of a metal tool.

The processes under physical change are: melting ice, evaporating puddle of water, and dissolving of salt in water.

Given:

The following process:

cooking an eggmelting icefireworks explodingevaporating puddle of waterrusting of a metal toolDissolving of salt in water

To find:

The classify the processes in whether it does or does not produce a new substance.

Solution:

Chemical change is the change when a new substance is formed due to a change in the chemical composition of the substance.Physical change is the change in which no change in chemical composition takes place and the identity of the substance remains the same.Cooking an egg

Chemical change, due to change in atomic arrangement egg get solidified on cooking, a new substance is formed.

Melting ice

Physical change, change in the state of matter is taking from solid to liquid, no new substance is formed.

Firework exploding

Chemical change. formation of carbon dioxide gas and sound energy, anew substance formed

Evaporating puddle of water

Physical change, change in the state of matter is taking from liquid to gas, no new substance is formed.

Rusting of metal tool

Chemical change, formation of oxides on the surface of the metal tool due to reaction between air and metal, a new substance is formed.

Dissolving of salt in water

Physical change, ions of salt in the solid state are changing into aqueous ions with no formation of new substance, no new substance is formed.

The processes under chemical change are: cooking an egg, fireworks exploding, and rusting of a metal tool.

The processes under physical change are: melting ice, evaporating puddle of water, and dissolving of salt in water.

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Nuclei decay from a more stable form to a less stable form.Question 9 options:TrueFalse

Answers

ANSWER

False.

EXPLANATION

In radioactive decay (or nuclei decay), an unstable nucleus emits radiation into a nucleus that is table and has less energy and a lower mass.

Therefore, nuclei decay from a less stable form to a more stable form.

The answer is false.

A large bulk quantity is defined as 3,000 kg (6,614 lbs.) for solids and 3,000 liters (792 gallons) for liquids and gases in a single package.

Answers

The given statement "A large bulk quantity is defined as 3,000 kg (6,614 lbs.) for solids and 3,000 liters (792 gallons) for liquids and gases in a single package" is true.

What is large bulk quantity?

Each person who carries one or more of the hazardous items must create and follow a transportation security plan for hazardous materials that complies with the requirements of safety and security plans section.3,000 kilograms (6,614 lbs) or 3,000 liters (792 gal) or more of solids or liquids in a single container, such as a cargo tanker, portable tank, tank car, or other bulk container, is referred to as a "large bulk quantity."The security plan must include an evaluation of transportation security risks for shipments of the dangerous goods listed in §172.800, including site-specific or location-specific risks connected with facilities where the dangerous goods listed in §172.800 are prepared for transportation, stored, or unloaded incidentally to movement, and suitable countermeasures to the evaluated risks.

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A 0.500-kg mass on a spring has velocity as a function of timegiven by vx(t) = (3.60cm/s) sin[(4.71s-1)t -π/2].What is a) period? b) the amplitude? c) the maximumaccleration of the mass?

Answers

In the given question, with the function of time for the spring given as vx(t) = (3.60cm/s) sin[(4.71s-1)t -π/2], the following calculations are done to find the answers:

a) To find the period, we look at the coefficient of t in the sine function. In this case, it is 4.71 s^-1. The period (T) can be found by taking the reciprocal of this coefficient:
T = 1/(4.71 s^-1) = 0.212 s. So, the period is 0.212 seconds.

b) The amplitude of the velocity function represents the maximum velocity. In the given function, the amplitude is 3.60 cm/s.

c) To find the maximum acceleration of the spring, we need to differentiate the velocity function with respect to time to get the acceleration function. The derivative of sin(4.71t - π/2) with respect to time is 4.71 cos(4.71t - π/2). Therefore, the acceleration function is a(t) = (3.60 cm/s * 4.71 s^-1) cos[(4.71 s^-1)t - π/2]. The maximum acceleration occurs when cos[(4.71 s^-1)t - π/2] equals 1. Thus, the maximum acceleration is (3.60 cm/s * 4.71 s^-1) = 16.98 cm/s².

In summary:
a) The period is 0.212 seconds.
b) The amplitude is 3.60 cm/s.
c) The maximum acceleration of the mass is 16.98 cm/s².

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How much work does it take to lift 345 boxes to a height of 6.00 m of each box has a mass of 7.89 kg

Answers

Given the value of the mass of each boxes, the work done in lifting the boxes to the given height is 1.6 × 10⁵J.

Work done

Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;

W = F × d

Where F is force applied or Weight and d is distance

Also Force = Weight = mass × acceleration due to gravity.

Since gravity is acting on the boxes as it been lift

W = Weight × height from ground level

W = mg × d

Where m is mass of the boxes, g is accelration due to gravity( g = 9.8m/s² ) and d is distance from ground level.

Given the data in the question;

Since each box has a mass of 7.89 kgMass of the 345 boxes = 345 × 7.89 kg = 2722.05kgDistance or height d = 6.0mWork done W = ?

To determine the work done, we substitute our values into the expression above.

W = mg × d

W = 2722.05kg × 9.8m/s² × 6.0m

W = 160056.5kgm²/s²

W = 160056.5J

W = 1.6 × 10⁵J

Therefore,  Given the value of the mass of each boxes, the work done in lifting the boxes to the given height is 1.6 × 10⁵J.

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name and describe the process that fuels the sun

Answers

Answer:

The Sun derives all its energy from a fusion cycle. In that process, tiny hydrogen molecules combine into a continuous proton-proton chain to create larger helium nuclei. The above figure illustrates the fusion of hydrogen into helium.

Explanation:

Hope this helps.

Answer:

nuclear fusion

Explanation:

In this process, small hydrogen molecules fuse together to form bigger helium nuclei in a continuous proton-proton chain.

Thermal energy transfer portfolio 1

Answers

A thermal energy transfer portfolio would be an excellent way for students to showcase their knowledge and understanding of this important scientific concept.

Thermal energy transfer is the energy transfer between two or more objects that have different temperatures. This energy transfer can take place in three different ways: conduction, convection, and radiation. A portfolio is a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements in a particular area.

Therefore, a thermal energy transfer portfolio would be a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements related to thermal energy transfer. This portfolio could include lab reports, experimental data, diagrams, and explanations of the various ways thermal energy can be transferred.

For example, a student's thermal energy transfer portfolio might include:

1. A lab report detailing an experiment they conducted to measure the rate of heat transfer through different materials using conduction.

2. A diagram showing the process of heat transfer through convection in a fluid, such as air or water.

3. A written explanation of the concept of radiation and how it relates to thermal energy transfer.

4. A spreadsheet of data showing the temperature changes in a system as heat is transferred through it.

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Thermal energy transfer portfolio 1

The figure shows a 100-kg block being released from rest from a height of 1. 0 m. It then takes 0. 53 s for it to reach the floor. What is the mass m of the block on the left? there is no friction or mass in the pulley, and the connecting rope is very light.

Answers

The mass m of the block on the left is 16 Kg , correct answer.

What is friction?

Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.

Think about how a 100 kilogramme block would move.

beginning speed (Vi) = 0 m/s

a stands for speed.

d=displacement=1 m

Time taken is t = 0.53 seconds.

Using the formula:

d=Vi t+(0.5)a t2

1 = (0) (0.53) + (0.5) a (0.53) (0.53)

2

a = 7.12 m/s2

Acceleration for an at wood machine is expressed as

7.12 = (100 - m) (9.8)/ (100 + m)

m = 15.84 kg

m = 16 kg

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A scientist is designing an investigation to study the impact of the neck length of tortoises on survival rates in the Galapagos islands. What is most likely the outcome variable (dependent variable) in this investigation

Answers

Outcome variable (dependent variable): survival rates of tortoises in the Galapagos islands.

The outcome variable in this investigation is the survival rates of tortoises in the Galapagos islands, which will be impacted by the independent variable, neck length. By measuring the survival rates of tortoises with different neck lengths, the scientist can determine if there is a correlation between neck length and survival rates. This investigation is important because it can provide insights into how evolutionary adaptations, such as neck length, can impact the survival of species in their natural habitats. Ultimately, this knowledge can inform conservation efforts and help protect vulnerable species.

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How do humans use their eyes to measure relative distance by parallax?
a. By continuously focusing our eyes on distant objects, we can determine distance.
b. Since our eyes are separated, the brain interprets the relative look angles of the two eyes in terms of distance to the object viewed.
c. Our eyes can measure the time it takes light to travel from an object, and from this we get distance.
d. As we move our heads from side to side, our brain compares angles from each of these positions to work out the distance to the object viewed.

Answers

The correct answer is b. Since our eyes are separated, the brain interprets the relative look angles of the two eyes in terms of distance to the object viewed.

Humans use a visual phenomenon called parallax to measure relative distance. Parallax is the apparent shift in the position of an object when viewed from different angles. Because our eyes are separated, each eye captures a slightly different view of the same object. The brain then processes the relative angles of the two eyes' views to determine the distance to the object.

By comparing the differences in the images received by each eye, the brain can calculate the parallax and use it as a depth cue to estimate the distance of the object. This is known as binocular parallax, and it is an important mechanism in our perception of depth and distance.

Option a is incorrect because continuously focusing our eyes on distant objects alone does not provide us with the information needed to determine distance. Option c is incorrect because our eyes cannot directly measure the time it takes light to travel from an object. Option d is incorrect because while head movements can contribute to depth perception, the primary mechanism for measuring relative distance by parallax is the interpretation of the relative angles from the two eyes.

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A pizza delivery must make three stops on her route. She will first leave the restaurant and travel 4km due north to the first house. The next house is 6km away at 45 south of west according to her map. The final stop is 5km away at 60 north of west. What is her displacement from the restaurant to the final stop

Answers

5.3 km

This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

By simple calculations, we can derive the unit vectors j,\(\frac{-i-j}{2}\) and in the directions North,  South of West, and  North of West respectively.

So Total displacement vector = The Sum of individual displacement vectors.

Displacement vector = -4.25i + 3.165j

The magnitude of Displacement =| -4.25i + 3.165j |  = 5.3km

∴ Total displacement = 5.3km

A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.  It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.

The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.

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Several motorboats with the same mass are used in an experiment. The forces of the different motors versus their accelerations are graphed. What is the y-intercept of this graph? (1point) Does anyone know the answer?

Answers

Answer:

C. the velocity

Explanation:

Answer:

1.) As rocket mass increases, acceleration decreases

2.) The inverse of the mass of the boat

3.) Zero

4.) When the velocity increases

5.) It increases

Explanation:

took the test, all were correct

When the velocity of an object is quadrupled , by what factor is its kinetic energy changed ?

Answers

Answer:

I believe it is 16

Explanation:

Answer:so add the momentum twice and then the kinetic energy becomes four times

Explanation:This includes to me not the factor but by what factor it’s kenetic energy changes Momentum becomes twice and kinetic energy becomes four times its original value

PLEASE HELP 30 POINTS
1.
Determine the kinetic energy of 1500 kg Tow-Mater Truck traveling at 31.0 m/sec.

Show your work.
2.
A base jumper of mass 68.0 kg stands on the edge of a cliff and possesses 16,800 J of potential energy. How high up is this Mountain Dew Man from the base of the cliff?

Show your work

Answers

Answer:1. Using the following formula, we can calculate the kinetic energy of a 1500 kg tow-mapping truck moving at a speed of 31.0 m/s: KE is equal to 0.5 * m * v2, where m is the object's mass and v is its speed.

By entering the data, we obtain the following equation: KE = 0.5 * 1500 kg * (31.0 m/sec) * 2 = 0.5 * 1500 kg * 961 m2/sec * 2 = 723,500 J

Therefore, the 1500 kg Tow-Mater Truck's kinetic energy at 31.0 m/sec is 723,500 J.

2. To determine the height of the cliff, we use the formula: PE = mgh, where m is the mass of the base jumper, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff.

Given that the base jumper has 16,800 J of potential energy, we can rearrange the formula to find h: h = PE / (m * g) = 16,800 J / (68.0 kg * 9.8 m/s^2) = 20.6 m

So, the base jumper is 20.6 meters above the base of the cliff.

Explanation:

Answer:

1.  

energy : KE = units J

mass: m = 1500m unit

velocity: v = 31v unit m/s

Answer:

KE = 720750 J

2.

energy: KE = 16800 KE unit

mass:  m = 68.0m unit

= V

Answer:

v = 22.228757209048 m/s

Part A
If you are not wearing a seat belt in a car that rounds a curve, and you slide across your seat and slam against a car door, what kind of force is responsible for your slide
centripetal, centrifugal, or no force?
O It is centrifugal force as viewed by someone outside the car.
There is no force as viewed by someone outside the car. To them you move in a straight line
O Centripetal force
It is centripetal force, but only as viewed by someone inside the car.

Answers

Answer:

I think it is the last option

Explanation:

i’ll give brainliest!! please help and answer correctly! plsss answer quick

ill give brainliest!! please help and answer correctly! plsss answer quick

Answers

Answer: The motion of the object will remain the same

Explanation:

The egc for a flexible metal conduit connection to a motor supplied with a 20 a circuit is:_________

Answers

The EGC for a flexible metal conduit connection to a motor supplied with a 20A circuit is a 12 AWG copper conductor.

The EGC (Equipment Grounding Conductor) for a flexible metal conduit connection to a motor supplied with a 20A circuit is determined by the sizing requirements of the NEC (National Electrical Code). The NEC specifies the minimum size of the EGC based on the size of the circuit conductors and the type of conduit used.

To determine the minimum size of the EGC, we need to consult the NEC Table 250.122, which provides the minimum size of the EGC based on the size of the circuit conductors.

Since the circuit is supplied with a 20A current, we will assume that the circuit conductors are sized accordingly. According to the NEC Table 310.15(B)(16), a 20A circuit typically uses a 12 AWG copper conductor.

Next, we need to determine the type and size of the flexible metal conduit used for the connection. Different types of conduits have different requirements for the EGC sizing. For instance, for a flexible metal conduit, the NEC Table 250.122 specifies that a 12 AWG copper conductor should be used if the conduit is 3/4" or smaller.

Therefore, based on the information provided, the EGC for a flexible metal conduit connection to a motor supplied with a 20A circuit is a 12 AWG copper conductor.

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a student pushed a 100 N bicycle over a distance of 15 m in 5 s. calculate the power generated.

Answers

The catch in this one is:  We don't know how much force the student used to push the bike.  

It wasn't necessarily the 100N.  That's just the weight of the bike. But you know that you can push a car, a wagon, or a bicycle hard, you can push it not so hard, you can give it a little push, you can give it a big push, you can push it strong, you can push it weak, you can push it medium.  The harder you push, the more it'll accelerate, but it's completely up to you how hard you want to push.  That's what's so great about wheels !  That's why they were such a great invention ! This is where I made my biggest mistake. This guy came into my store one day and said he's got this great invention, it's definitely going to take off, it'll be a winner for sure, he called it a "wheel".  I looked at it, I turned it over and I looked on all sides. I thought it was too simple.  I didn't know then it was elegant. I threw him out.  I was so dumb.  I could have invested money in that guy, today I would have probably more than a hundred dollars.

Anyway, can we figure out how much force the student used to push with ?  Stay tuned:

-- The bike covered 15 meters in 5 seconds.  Its average speed during the whole push was (15m/5s) = 3 meters/sec.

-- If the bike started out with no speed, and its average speed was 3 m/s, then it must have been moving at 6 m/s at the end of the push.

-- If its speed increased from zero to 6 m/s in 5 seconds, then its acceleration was (6m/s / 5 sec) = 1.2 m/s²

-- The bike's weight is 100N.  

(mass) x (gravity) = 100N

Bikemass = (100N) / (9.8 m/s²)

Bikemass = 10.2 kilograms

-- F = m A

Force = (mass) x (acceleration)

Force = (10.2 kg) x (1.2 m/s²)

Force = 12.24 N

-- Work = (force) x (distance)

Work = (12.24 N) x (15 m)

Work = 183.67 Joules

-- Power = (work done) / (time to do the work)

Power = (183.67 joules) / (5 seconds)

Power = 36.73 watts

What do you mean by focus in science

Answers

“a point at which rays of light, heat, or other radiation meet after being refracted or reflected.” Meaning multiple light rays or heat (and other forms of radiation) are all being refracted or reflecting to a certain point

9. Which of the following are true of continental climates?
SELECT ALL THAT APPLY
a They are strongly affected by the ocean
b There are, none in the Southern Hemisphere
c They occur between 40-70 latitude
d They are characterized by heavy rainfall

Answers

The true statements about continental climates are;

a) They are strongly affected by the ocean.

c) They occur between 40-70 latitude.

What is a Continental climates?

Continental climates often have a significant annual variation in temperature. They tend to occur in the middle latitudes, within large landmasses where prevailing winds blow overland bringing some precipitation, and temperatures are not moderated by oceans.

Continental climates, also known as temperate climates, are characterized by distinct seasons with hot summers and cold winters. They are strongly affected by the ocean and  they occur between 40-70 latitude.

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Why are Physical changes Not represented by Equations

Answers

Because w chemical reaction does not occur. Nothing happens to the molecules only the state of matter changes. For example, crushing a can. This would be a physical chance but nothing on the molecular level changed.

Physical changes are not represented by equations because it does not involve rearrangement of atoms.

WHAT IS A PHYSICAL CHANGE:A physical change is a change that does not involve formation of new substances.

Since no new substances are formed, this means that the atoms of the substance is not broken or rearranged.

Unlike chemical changes, physical changes involves a change in state of matter.

Therefore, physical changes are not represented by equations because it does not involve rearrangement of atoms.

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A hematocrit is the process of stopping bleeding
O True
O False

Answers

True, a diminished hematocrit may contribute to the bleeding tendency already present in patients with thrombocytopenia.

dont stress it brotha its .A

Answers

Answer:

A? what do you mean? ahhahhhhahhahahahahahahahhahahahahaaa

The aluminum pan shown has a mass (m) of 500
grams. By holding it over the open flame, it is heated
to a temperature (T) of 204°C and then allowed to cool
down to 21°C. The specific heat of aluminum is 900
J/kg°C.
How much thermal energy does the pan release when
cooling down?
Round your answer to the nearest whole number. Enter
your answer.

Answers

The thermal energy released when the pan is cooling down with a mass of aluminum is 500 grams and the specific heat capacity is 900J/Kg°C is 83.4 kJ.

Thermal energy is the energy generated by the heat. Thermal energy depends on the mass of the substance, specific heat capacity, and temperature change. The unit of thermal energy is the joule(J).

From the given,

mass of the aluminium pan (m) = 500g = 0.5kg

Specific heat capacity (C) = 900J/kg°C

Temperature initial(T₁) = 204°C

Temperature final (T₂) = 21°C

Change in temperature (ΔT) = T₁ - T₂ = 204 - 21 = 183°C

Thermal energy (Q) = m×C×ΔT

                                = 0.5×900×183

                                =82350J

Thus, the thermal energy released when the pan is cooling down is Q=82.4J.

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Identify the differences between the dfss (design for six sigma) and the dmaic (define, measure, analyze, improve, control) processes.

Answers

The difference between the dfss (design for six sigma) and the dmaic (define, measure, analyze, improve, control) processes only lies in the analyzing stage. To further avert problems, DFSS requires market research data, customer complaints about the product, and attempts to rebuild a new product.

The primary distinction is that DMAIC is a technique that emphasizes making changes to the organization's current goods and services.

On the other hand, DFSS strives to create a new, defect-free good or service that satisfies CTQ requirements and results in customer satisfaction.

Design for Six Sigma (DFSS) is an improvement process that aids companies in producing high-quality new goods and services.

The technique tries to satisfy client expectations while making the most of the company's capabilities during the initial development of a process.

A data-driven quality technique called Define, Measure, Analyze, Improve, and Control (DMAIC) is used to enhance processes.

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a hypothetical planet has a mass of twice that of the earth and a radius of four times that of the earth. what is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the earth?

Answers

The acceleration due to gravity on the planet will be 8g.

What is gravity?

Gravity is the force of attraction between objects that is exerted by the masses of those objects. It is the weakest of the four fundamental forces in nature and is most noticeable when two objects of significant mass interact. On Earth, gravity is what keeps us firmly rooted to the ground and is what causes objects to fall when we drop them. It is also what causes the moon to orbit around the Earth and the planets to orbit around the sun.

This is because the acceleration due to gravity is directly proportional to the mass of a body and inversely proportional to the square of its radius. This means that if the mass of a body is doubled and its radius is quadrupled, the acceleration due to gravity will be 8 times the acceleration due to gravity at the Earth.

Therefore, the acceleration due to gravity on the planet will be 8g.

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The acceleration due to gravity on the planet will be g/8

What is gravity?

Gravity is the force of attraction between objects that is exerted by the masses of those objects. It is the weakest of the four fundamental forces in nature and is most noticeable when two objects of significant mass interact. On Earth, gravity is what keeps us firmly rooted to the ground and is what causes objects to fall when we drop them. It is also what causes the moon to orbit around the Earth and the planets to orbit around the sun.

This is because the acceleration due to gravity is directly proportional to the mass of a body and inversely proportional to the square of its radius.

As we know,

Charge (q) = GM/R²

Here, R = radius of the planet

M = mass of the planet

G = Gravitational constant

Now, after putting the values we get:

q = (G × 2me) / (4ve)²

or, q = 1/8 (Gme/ve²)

or, q = 1/8 × g

Therefore, the acceleration due to gravity on the planet will be g/8

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Ball 1 has a larger charge than ball 2. The balls are observed to repel. What can you say about the magnitude of the electric force on ball 1 compared to the magnitude of the electric force on ball 2

Answers

When observing two charged objects, if they repel each other, it implies that they have the same type of charge. In this case, ball 1 has a larger charge than ball 2.

Based on this information, we can conclude that the magnitude of the electric force on ball 1 is greater than the magnitude of the electric force on ball 2. The magnitude of the electric force between two charged objects depends on the charges of the objects and the distance between them. According to Coulomb's law, the electric force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Since ball 1 has a larger charge than ball 2, the product of the charges in the equation for electric force will be larger for ball 1. As a result, the magnitude of the electric force on ball 1 will be greater compared to the magnitude of the electric force on ball 2.

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An electron traveling with speed v around a circle of radius r is equivalent to a current of:


evr/2


ev/r


ev/2πr


2πer/v


2πev/r

Answers

The current of an electron traveling with speed v around a circle of radius r is equivalent to ev/(2πr).

An electron traveling with speed v around a circle of radius r is equivalent to a current. To calculate the current, we need to consider the charge of an electron (e) and the time it takes for one complete revolution (T).

First, find the circumference of the circle (C):
C = 2πr

Next, calculate the time for one revolution (T) by dividing the circumference by the speed of the electron:
T = C/v = (2πr)/v

Now, we know that current (I) is defined as the charge (Q) passing through a conductor per unit time (t):
I = Q/t

Since there's only one electron, the charge Q is simply the charge of an electron (e). Substitute the values of Q and T in the formula:

I = e/T = e/[(2πr)/v]

Simplify the expression:
I = ev/(2πr)

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