Three identical metallic conducting spheres carry the following charges: q1 = +7.8 μC, q2 = −1.4 μC, and q3 = −4.0 μC. The spheres that carry the charges q1 and q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge q3. What is the final charge on the third sphere?

Answers

Answer 1

0.8 μC is the final charge on the third sphere

Define electric charge

The physical quality of matter—its electric charge—is what causes it to feel a force when exposed to an electromagnetic field. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively, by convention). Unlike charges attract one another while like charges repel one another. Neutral refers to an object that carries no net charge.

Since the 3 objects are similar and conductors, charge can move freely among them. Since the four objects are identical, the overall charge disperses among them as equally as possible.

q1, q2, q3 are same

Q/3 will be value of q

Q is 7.8-1.4-4.0 i.e. 2.4 μC

q will be 2.4/3 i.e. 0.8 μC

The charge q is positive so we have defecit of electrons

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Related Questions

what are four methods of acquiring knowledge

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The four methods of acquiring knowledge are observation, experience, reasoning, and education.

Observation involves gathering information through the senses and paying attention to what is happening in the environment. Experience involves learning through personal encounters, such as practical work or life events. Reasoning involves using logic and critical thinking to draw conclusions and make decisions.

Education involves acquiring knowledge through formal instruction and learning, such as in a school setting or through reading and studying. All four methods are important and can be used in combination to acquire a deep and well-rounded understanding of a subject.

Observation and experience provide hands-on and practical knowledge, while reasoning and education provide theoretical and abstract knowledge. By using a combination of these methods, individuals can broaden their understanding and knowledge of the world around them.

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A constant force of 4. 5 n acts on a 7. 2-kg object for 10. 0 s. What is the change in the object's velocity?.

Answers

The change in the object's velocity is: 6.25 m/s

What is force?

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

To solve this exercise, the formulas and procedures to be applied are:

F = m * avf = vi + (a* t)

Where:

m = massF = Forcea = accelerationvf = final velocityvi = initial velocityt = time

Information about the problem:

m = 7.2 kgF= 4.5 n1 N = kg * m/s²t= 10.0 svi= 0 m/sa= ?vf=?

Applying the force formula and isolating the acceleration, we get:

a= F/m

a= 4.5 n /7.2 kg

a=0.625 m/s²

Applying the final velocity formula, we have:

vf = 0 m/s + (0.625 m/s²* 10.0 s)

vf = 0 m/s + 6.25 m/s

vf = 6.25 m/s

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What is the final velocity of an object that accelerates from rest at 3, point, 5, m, slash, s, squared,3.5m/s
2
for 8, point, 5, s,8.5s?

Answers

The final velocity of the object is 29.75 m/s.

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

The acceleration of the object = 3.5 m/s²

The initial velocity of the object = 0 m/s.

Time interval = 8.5 second.

Hence, form basic kinematics, we can write the final velocity becomes = initial velocity  + acceleration × time interval

= 0 + 3.5 × 8.5 m/s

= 29.75 m/s

Hence,  the final velocity of the object is 29.75 m/s.

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Your question is incomplete but most probably the question was:

What is the final velocity of an object that accelerates from rest at 3.5m/s² for 8.5 s?

Select the two that apply.
Granite
Quartz
Charcoal
Amber
Seawater
Synthetic diamonds
Gold nugget

Answers

From given names Quartz and Gold nugget is the mineral.

Minerals are the basic building blocks of rocks and are extremely important to humans economically and commercially. Geologists therefore require a set of qualities to distinguish between what constitutes a mineral and what constitutes a man-made object (such as plastic, for example). Inorganic, solid, naturally occurring, made of an ordered crystalline structure, and capable of being described by a chemical formula are the requirements that identify matter as a mineral.

One of the most well-liked and well-known minerals, gold has long been valued for its worth and unique qualities. The majority of the naturally occurring gold specimens discovered since ancient times have been smelted for use in manufacturing.

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why a loaded bus is more comfortable than an empty bus

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A loaded bus is more comfortable than an empty bus due to the lower center of gravity of the loaded bus, also a loaded bus has more inertia.

Comfort refers to the stability or the minimum rate of change of acceleration. A loaded bus has a lower center of gravity. So it has a minimum chance of overturning. On the other hand, an empty bus having a higher center of gravity is more susceptible to overturning.

A loaded bus has more inertia than the empty bus does. For the same force acting on both the buses, loaded bus will experience smaller accelerations. The loaded bus experiences almost zero sideways acceleration or vertical acceleration, and the forward & backward acceleration is also much smoother and better - controlled.

   

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The figure shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force. What force (magnitude and direction) must you apply to the third rope to keep the knot from moving?

Answers

A total force of 8.0 units would be applied in the opposite direction of both ropes as a result.

What force is it?

An influence known as force can alter an object's motion, direction, shape, or resting state. It is one of physics' fundamental ideas. Contact forces and field forces are the two types of forces.

The normal force, air resistance, and friction are all examples of contact forces. Gravity, the electric force, and the magnetic force are all examples of field forces. The magnitude, direction, and duration of a force can all be measured.

A force's magnitude indicates its strength, and its direction indicates its direction of action. The amount of time a force is applied is its duration.

The knot must have zero net force in order to remain stationary. To put it another way, all of the forces must add up to zero. As a result, you will need to apply forces of 3.0 units in the first rope's opposite direction and 5.0 units in the second rope's opposite direction.

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What is the final speed of an object that starts from rest and accelerates uniformly at 4. 0 meters per second 2 over a distance of 18. 0 meters?.

Answers

Answer:

12 m/s

Explanation:

The final speed of an object that is subjected to uniform acceleration can be calculated using the equation:

v^2 = u^2 + 2as

where v is the final speed, u is the initial speed (in this case, 0 m/s since the object starts from rest), a is the acceleration (4.0 m/s^2 in this case), and s is the distance traveled (18.0 m in this case).

Plugging in the values, we have:

v^2 = 0 + 2 * 4.0 * 18.0

v^2 = 144

v = √(144)

v = 12 m/s

So the final speed of the object is 12 meters per second.

why does the near point of accommodation increase with age

Answers

Answer: The increase is due to natural growth of the lens.

Explanation:

the cedula personal was optional during the spanish period

Answers

The cédula personal was optional during the Spanish period.

The cédula personal was a document used during the Spanish colonial period in the Philippines to keep track of the population and to collect taxes. It was a personal identification document that contained the holder's name, occupation, and tax status.

However, the requirement for a cédula personal was not strictly enforced during the Spanish period. While the Spanish government encouraged people to obtain one, it was not a mandatory requirement, and many people lived and worked without one.

This lack of strict enforcement was due to a number of factors, including limited resources for collecting taxes, the large size of the Philippines, and the limited number of government officials available to enforce the regulations.

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Complete Question:

Is the cedula personal was optional during the spanish period?

1. A student carries a 12 kg box up a flight of stairs at a slow constant speed in 4. 5 seconds. The height

of the flight of stairs is 3. 6 meters.

a. What is the weight of the box? (in other words, its force in Newtons)

Want:

Given:

Can someone help me which this physic homework please?

Formula:

Solve:

b. How much work does the student do on the box? Draw a problem solving box!

c. What is the student's output power? Draw a problem solving box!

can someone help me with this physic homework pleas?

Answers

The weight of the box is 120N and work done is 432J.

We know that weight is just the force.

Weight  = F = mg

where, m = mass of the body = 12kg

            g = acceleration due to gravity = 10 m/s^2

Putting these values in above equation we get : F = 120 N

So, the weight of the box is 120N.

We know that work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Now Work done by an object is given by : W = F.d

where,

F = force acting

d = displacement = 3.6 m

Putting these values in above equation we get: W = 120 * 3.6 = 432J

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if two objects have an inelastic collision and one is initially at rest, is it possible for both of them to be at rest after the smash up? is it possible for only one of them to be at rest? how come?

Answers

No. After the collision, it is impossible for them to be at peace.

When two or more objects come into contact with one another and experience temporary force on one another, this is called a collision. Elastic and inelastic are the two categories under which it falls.

This kind of collision, in which some energy is lost, is known as an inelastic collision.

However, kinetic energy is not conserved in an inelastic collision even though momentum is. In everyday life, inelastic collisions predominate.

It is known as a perfectly inelastic collision when an inelastic collision meets all the requirements. In this instance, two objects collide and stick together, moving as one.

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What is 2km in miles?

Answers

A mile is 1.609 kilometers long. Both the mille and the kilometer are units of measurement. A mile is larger than a kilometer, nevertheless.

Is a 2 km stroll too far?

Approximately 125 calories are burned by walking for thirty min at a quick pace for a distance between 2.0 to 2.5 kilometres (520 kiloJoules). This may not appear to be much, but if if walked for a whole year, five days a week, you would have burned more than 32,000 calories, or more than 5 kg, of fat.

Does a brisk stroll burn fat?

Conclusions Walking at any speed results in the loss of total body fat, however in overweight individuals the reduction is more pronounced, immediate, and initially larger with slow walking. a stronger, deeper exercise impulse.

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explain how you could use three single-use scales to tell which one of eight identical-looking stones is slightly heavier than the others

Answers

To determine which of eight balanced identical-looking stones is slightly heavier than the others using three single-use scales, you can follow these steps:

Divide the stones into two groups of four.

Place one group of four stones on one side of the scale and another group of four stones on the other side.If the scale is balanced, it means that the heavier stone is not in either of these groups.Take one of the groups and divide it into two groups of two.Use the second scale to weigh one group of two stones against the other group of two stones.If the scale is balanced, the heavier stone is in the group that was not weighed.If the scale is not balanced, use the third and final scale to weigh the two stones that were not balanced in step 6.The heavier stone will be the one that weighs more on the third scale.

By following these steps, you can determine which of the eight identical-looking stones is slightly heavier than the others using only three single-use scales.

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The complete Question is:

How to determine which of eight identical-looking stones is slightly heavier than the others using three single-use scales?

using the symmetry of the arrangement, determine the direction of the force on q in the figure below, given that: case i. qa = qb = 7.5 μc and qc = qd = 7.5 μc.

Answers

To determine the direction of the force on +q in the figure, given that Case I qa = qb = 7.5 μC and qc = qd = 7.5 μC, you need to:

(a) Draw the forces on q due to qa, qb, qc and qd in your notebook

(b) Use symmetry to find the direction of the net force

Hint: for each force, draw the x and y components.

The process involves two steps: (a) drawing the forces on q due to charges qa, qb, qc and qd in your notebook and (b) using symmetry to find the direction of the net force. For each force, you need to draw the x and y components to help you visualize the net force.

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A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. What was the acceleration of the truck in m/s2?.

Answers

A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. The acceleration of the truck was 0.5 m/s^2

The velocity of the truck after 20 seconds is 27 m/s and its initial velocity was 17 m/s, so the change in velocity is:

Δv = 27 m/s - 17 m/s = 10 m/s

The acceleration can be calculated as the change in velocity divided by the time it took to change, so:

a = Δv / t = 10 m/s / 20 s = 0.5 m/s^2

Acceleration is a measure of the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction, and is defined as the derivative of velocity with respect to time. In other words, acceleration is the rate at which an object's velocity is changing. If an object is moving in a straight line and its velocity is increasing, then it is accelerating. If the velocity is decreasing, then the object is decelerating.

Acceleration has units of meters per second squared (m/s^2). Positive acceleration means an increase in velocity, while negative acceleration means a decrease in velocity. For example, when an object is accelerating upwards, its acceleration is positive, while when it is falling, its acceleration is negative.

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how to calculate smallest and largest gas volumes

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To calculate the volume of a gas, apply the Ideal Gas Law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. To calculate the smallest and largest volumes of a gas, first determine its pressure, temperature, number of moles, and ideal gas constant. Then, using the Ideal Gas Law, you can change the pressure and temperature and calculate the volume.

What is volume?

A volume measurement is a three-dimensional spatial measurement. It is typically quantified statistically using SI-derived units or other imperial or US customary units. The definition of volume is connected to the concept of length. The space filled by an item within the limitations of three-dimensional space is defined as volume. It is sometimes referred to as the object's capacity.

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A researcher adds H20 to a graduate cylinder to the 30.0 mL mark. After measuring a mass of an object to be 48.40 grams, the object is immersed and the new water level is at the 38.5 mL mark. Find the density and specific gravity of the object

Answers

Answer:

Explanation:

Density = m/v

             = 48.4/8.5

             = 5.69411 gm/cm^3

Specific gravity = Density of object/ Denstity of water at 4'C

                           = 5.69411

The density of the object is 57142 g/L and its specific gravity is 57142

To find the density of the object, we need to calculate its volume. We can use the displacement method to determine the volume of the object. The volume of the object is equal to the difference in water level before and after immersion, which is 38.5 mL - 30.0 mL = 8.5 mL. We can convert this volume to cm^3 by multiplying by 10^-3.

The density of the object is given by the formula:

density = mass/volume

where the mass of the object is 48.40 grams.

Plugging in the values,

density = 48.40 g / (8.5 x 10^-3 L) = 57142 g/L

The specific gravity of the object is defined as its density relative to the density of water, which is 1000 kg/m^3 or 1 g/mL. The specific gravity of the object can be calculated as follows:

specific gravity = density of object/density of water

specific gravity = 57142 g/L / 1 g/mL = 57142

So, the density of the object is 57142 g/L and its specific gravity is 57142.

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what is the best definition of electric charge

Answers

Answer:

B. It is the flow of electrons that have a negative charge to protons that have a positive charge.

Explanation:

Electric charge is a fundamental property of matter that arises from the presence or absence of electrons in an object. Electrons have a negative charge, while protons have a positive charge. When an object has an excess or shortage of electrons, it creates an electric charge. This charge can be measured and is used to explain various electrical and electronic phenomena, including the flow of electric current, the behavior of electric circuits, and the interaction of charged objects with each other. The flow of electrons from one charged object to another is what creates an electric current, which is a flow of electric charge. Thus, the best definition of electric charge is the flow of electrons that have a negative charge to protons that have a positive charge.

the thermometer reads the outside temperature at 70.0 °f. what is this temperature in °c?

Answers

If the thermometer reads the outside temperature at 70.0 °f, then it is  21.11 Celsius.

The degree of hotness or coldness of an object can be termed as Temperature. THERMOMETER are the instruments used to measure it . There are different units of measuring temperature which are interconvertible. The units are Fahrenheit (°F), Celsius (°C), Kelvin (K) etc.

In this question, the thermometer reads 70°F. To convert this temperature reading to °C, we use the formula:

°C] = ([°F] − 32) × 5/9

Hence,

[°C] = (70− 32) × 5/9

[°C] = (38) × 5/9

[°C] = 190/9

= 21.1 °c

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A certain cylinder has a diameter that is twice the length of its height. If the volume of the cylinder is 64π cubic inches. What is the radius?

Answers

If the cylinder seems to have a 64 cubic inch volume, its radius becomes R = 8/2, as well as 4.

What is called cylinder?

The three-dimensional shape of a cylinder is made up of two equal circular bases connected by a curved surface. The correct cylinder is created when the vertices of the round bases cross each other. The axis, which represents the height of a cylinder, has been the line segment that connects the two centres.

A cylinder's volume (V) is equal to the sum of its base's area (B) and height (H) (H)

Given V = 64(π)

B = (π) * [diameter(D)/2]^2 * (H)

Given D = 2 * H

V = π * (D/2)^2 * H, then

V = π * (2 * H/2)^2 * H = π * H^3

π * H^3 = 64π

H^3 = 64

H = 4

D = 8

Radius(R) = D/2

R = 8/2 = 4

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one function of a cell wall

Answers

Answer:

The cell wall surrounds the plasma membrane of plant cells and provides tensile strength and protection against mechanical and osmotic stress. It also allows cells to develop turgor pressure, which is the pressure of the cell contents against the cell wall.

describe the relationship between the wavelength and the frequency of a wave.

Answers

The relationship between wavelength and frequency of a wave is well established in physics and is described in the provided search results. According to the frequency of a wave multiplied by its wavelength gives the speed of the wave. In 2, the relationship is described using the equation frequency x wavelength = speed of light, where frequency (v) and wavelength (λ) are related to the speed of light (c).

The relationship between frequency and wavelength is also described in 3, where the wave speed is equal to the product of its frequency and wavelength. This is expressed as v = f * λ, where v is the wave speed, f is the frequency, and λ is the wavelength. In summary, the wavelength and frequency of a wave are directly proportional to each other, and the product of their values gives the speed of the wave.

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calculate the kinetic energy (in ev) of a nonrelativistic neutron that has a de broglie wavelength of 9.9 × 10−12 m. (h = 6.626 × 10−34 j • s, mneutron = 1.675 × 10−27 kg, 1 ev = 1.60 × 10−19 j)

Answers

The Kinetic energy of the nonrelativistic neutron which has a De Broglie wavelength of [tex]9.9 * 10^{-12}[/tex] m is [tex]8.375 * 10^{4}[/tex] Eu.

A moving item or particle might have power of a certain type called kinetic energy. An item gains kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving item or particle's mass and motion speed determine its kinetic energy.

The energy an object has as a result of motion is referred to as kinetic energy. It is defined as the effort needed to move a body of a particular mass from rest to the desired velocity. Unless its speed changes, the body retains the kinetic energy it gained during acceleration.

[tex]lambda D=9.9[10^{-12} ]\\h=6,626[10^{-34} ]\\m= 1.675[10^{-27} \\KE= \frac{h^{2} }{2m[lambda D^{2} } ]\\=13.4[10^{-15} ] joule\\KE = 8.375[10^{4} ]eu[/tex]

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A 0. 1014 g sample of a purified cho compound was burned in a combustion apparatus and produced 0. 1486 g co2 and 0. 0609 g of h2o. What is the empirical formula of this cho compound?.

Answers

The empirical formula of this CHO compound is C₅HO₆

The empirical formula is a formula for a compound that specifies the proportions of each element present, but it does not provide the overall number of atoms in the complex. The compound's lowest ratio between its constituent elements can be found there. To determine the precise number of atoms or the molecular formula of the compounds, we use the molar mass of the molecule.

The chemical equation below represents the burning of carbon and hydrogen in hydrocarbons:

CₓHₐOₙ ⇒CO₂ +H₂O

First, we divide each element's mass by its atomic mass to determine its mass;

Mass C= 12/44 x 0. 1486 g = 0.0405 g

Mass H = 2/18 x 0. 0609 g = 0.0067 g

Mass O = 0.1014 - 0.0405 - 0.0067 = 0.0542 g

Using molar masses we can calculate the moles:

0.0405 g / 12.0 g/mol = 0.003375moles C

0.0067 g / 1.01 g/mol = 0.00067 moles H

0.0542 g / 16.0 g/mol  = 0.003387 moles O

0.00067 is lesser, so use it to normalize to find the ratio.

The ratios are:

0.003375 moles C / 0.00067 = 5

0.00067 moles H / 0.00067 = 1

0.003387 O / 0.00067= 6 mole O

C:H:O

5:1:6

soh the empirical formula will be C₅HO₆

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what is the formula that you use for, How many miles did a plane travel if it flew 455 miles per hour in 3 hours?

Answers

Answer: 1365 miles.

Explanation: Good evening.

There is no formula to determine how many miles a plane flies in a certain set of time. If it gives you the time, and distance, all you have to do is multiply. It tells you to find how many miles it traveled in total.

The formula to calculate the distance traveled by an object moving at a constant speed is:
distance = speed x time.

In this case, the speed of the plane is 455 miles per hour and the time it traveled is 3 hours.

distance = 455 mph * 3 hours = 1365 miles.

So, the plane traveled 1365 miles

If you have 200 lbs of coal in your shed and you burn 1 lb a day, how long will it last? O 200 daysO forever O 20 days

Answers

If you have 200 lbs of coal in your shed and you burn 1 lb a day, it will need 200 days for last.

About Coal

Coal is a sedimentary rock formed from the remains of organic and combustible deposits. There are a number of benefits of coal in everyday life.

Based on research by geologists, coal was formed around 340 million years ago. Coal itself comes from the remains of plants that have decayed hundreds of millions of years ago.

It takes a very long time for coal to form again. Therefore, coal is a type of non-renewable natural resource that makes it relatively expensive.

The main benefit or use of coal is as fuel. The heat produced by coal is very high and can be converted into other energy. Therefore, coal is often used in life.

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how to get real and imaginary parts of permittivity from refractive index and extinction coefficients

Answers

The refractive index and the extinction coefficient of a material can be used to calculate its complex permittivity, which is a measure of the material's ability to store electric energy.

It is defined as the ratio of the electric flux density (D) to the electric field strength (E) in a vacuum and has units of farads per meter (F/m). In a material, the electric field is partially screened by the material's electrons, leading to a reduction in the effective electric field.  The complex permittivity is given by the following equation:

ε = ε' - jε'' = n^2 - jk,

where ε' is the real part of the permittivity, ε'' is the imaginary part of the permittivity, n is the refractive index, and k is the extinction coefficient.

So, to obtain the real and imaginary parts of the permittivity, one can simply use:

ε' = n^2

ε'' = k

where n and k are the known refractive index and extinction coefficient, respectively.

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Two forces F1and F2act on the screw eye. If their lines of action are at an angle θapart and the magnitude of each force is F1=F2=F. Determine the magnitude of the resultant force FRand the angle between FRand F1.Parallelogram Law Of Vector Addition:If two vectorsF1and F2are acting at angle θbetween them , the resultant of these two vectors is given asR=√F21+F22+2F1F2cosθ

Answers

The resultant between two vectors will be given by the formula, R= √(2(F^2) + 2(F^2)cosθ)

In order to solve the equation for resultant between the two vectors F1 and F2 at an angle of θ, the following steps have to be followed:

The diagram for this problem is attached below

It is given in the problem that the magnitudes of forces F1 and F2 are equal,

F1= F2= F

In order to find the resultant force, the Parallelogram Law of Vector Addition comes into play.

This law states that if two vectors have the same initial point, and are dawn into a parallelogram, the summation of the two vectors will be the directed diagonal that starts at the initial point of the vectors.

Therefore, R= √(F1^2 + F2^2 + 2F1F2cosθ)

Now, since F1= F2= F,

R= √(F^2 + F^2 + 2(F^2)cosθ)

R= √(2(F^2) + 2(F^2)cosθ)

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2. A solid disk with a mass of 0.165 kg and a radius of 0.215 m that is spinning at 35 rad/s counterclockwise can be stopped by a hand in 0.15 sec. What is the average torque exerted on the disk by the hand? (Hint: first use kinematics, then use Newton's second law)

Answers

The average torque exerted on the disk by the hand is -5.49 Nm.

What is torque?

Torque can be defined as a force exerted at a distance from the axis of rotation.

To find the average torque exerted on the disk, we need to calculate the angular acceleration and then use the equation for torque:

Torque = I * alpha, where I is the moment of inertia and alpha is the angular acceleration.

First, let's find the angular acceleration:

Initial angular velocity = 35 rad/s

Final angular velocity = 0 rad/s

Time = 0.15 s

Using the kinematic equation for angular acceleration:

alpha = (Final angular velocity - Initial angular velocity) / Time

alpha = (0 - 35) / 0.15

alpha = -233.33 rad/s^2

Next, let's find the moment of inertia of the solid disk:

I = (1/2) * m * r^2

I = (1/2) * 0.165 kg * (0.215 m)^2

I = 0.0234 kg m^2

Finally, let's find the average torque:

Torque = I * alpha

Torque = 0.0234 kg m^2 * -233.33 rad/s^2

Torque = -5.49 Nm

Therefore, The average torque exerted on the disk by the hand is -5.49 Nm.

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a dc motor draws a current of 50 a at 230 v, and 1200 w of power is dissipated as heat by the motor. how much power is left for mechanical work?

Answers

The required amount of power left for mechanical work by the DC motor is calculated to be 10300 w.

The current drawn by the motor = 50 A

Voltage of the DC motor = 230 v

Power dissipated as heat = 1200 w

The formula to calculate power dissipated by the motor;

P = V I

where, P is power

V is voltage

I is current

So, putting the known values into the above equation, we have,

P = V I = 230 × 50 = 11500 w

As some amount of power is dissipated as heat, the power left for mechanical work is;

⇒ 11500 - 1200 = 10300 w

Thus, the required amount of power is 10300 w.

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