Friction _____
the motion of an
object.
A. opposes
B. does typt affect
C. increases
D. speeds up
Because of surface tension, it is possible, with care, to support an object heavier than water on the water surface. The maximum thickness, h, of a square material that can be supported is assumed to be a function of the length of the side of the square, the density of the material, the acceleration of gravity, and the surface tension of the liquid. Develop a suitable set of dimensionless parameters for this problem.
Answer:
\(\pi 1 = \frac{h}{l}\)
\(\pi 2 =\) б / \(l^2gp\)
\(\frac{h}{l} =\) Ф ( б / \(l^2gp\) )
Explanation:
Develop a suitable set of dimensionless parameters for this problem
The set of dimensionless parameters for this problem is :
\(\pi 1 = \frac{h}{l}\)
\(\pi 2 =\) б / \(l^2gp\)
\(\frac{h}{l} =\) Ф ( б / \(l^2gp\) )
and they are using the pi theorem, MLT systems
attached below is a detailed solution
The mass of an empty cylindrical tin is
proportional to its surface area.
Two empty cylindrical tins, G and H, are
shown below.
The mass of tin G is 72 g, and the surface
area of tin H is 792π cm².
2
a) Work out the total surface area of tin G in
terms of π.
b) Work out the mass of tin H.
Tin G
12 cm
5 cm
Tin H
Not drawn accurately
a) The total surface area of tin G in terms of π is 170π cm².
b) The mass of tin H is 336 g.
To solve the given problem, we need to determine the total surface area of tin G in terms of π and the mass of tin H. Since the mass of an empty cylindrical tin is proportional to its surface area, we can use the given information to find the solutions.
a) Total surface area of tin G in terms of π:
The surface area of a cylinder consists of two circular bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by:
Lateral surface area = 2πrh
where r is the radius of the base and h is the height of the cylinder.
In the case of tin G, the given dimensions are a radius of 5 cm and a height of 12 cm. Substituting these values into the formula, we can calculate the lateral surface area:
Lateral surface area = 2π(5 cm)(12 cm)
Lateral surface area = 120π cm²
Since the total surface area of the cylinder includes the two circular bases as well, we need to add their areas. The area of a circle is given by:
Area of a circle = πr²
The radius of the circular base of tin G is 5 cm, so the area of each circular base is:
Area of each circular base = π(5 cm)²
Area of each circular base = 25π cm²
To find the total surface area of tin G, we sum the lateral surface area and the areas of the two circular bases:
Total surface area of tin G = Lateral surface area + 2 × Area of each circular base
Total surface area of tin G = 120π cm² + 2 × 25π cm²
Total surface area of tin G = 120π cm² + 50π cm²
Total surface area of tin G = 170π cm²
Therefore, the total surface area of tin G in terms of π is 170π cm².
b) Mass of tin H:
We are given that the surface area of tin H is 792π cm². We can assume that the same proportionality factor applies as in tin G, so we can set up the following proportion:
(surface area of tin G) / (mass of tin G) = (surface area of tin H) / (mass of tin H)
Using the given values, we have:
(170π cm²) / (72 g) = (792π cm²) / (mass of tin H)
Cross-multiplying and solving for the mass of tin H, we get:
(170π cm²) × (mass of tin H) = (72 g) × (792π cm²)
mass of tin H = (72 g) × (792π cm²) / (170π cm²)
mass of tin H = 336 g
Therefore, the mass of tin H is 336 g.
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What is the magnitude of the momentum of a motorcycle of a mass of 100 kg at rest What is its momentum if this motorcycle when it travels at 40 m s?
The magnitude of a momentum of a motorcycle of a mass of 100kg at rest stage is 0kg-m/sec and momentum of a motorcycle is 4000kg-m/sec when it travels with 40m/sec speed.
We know very well that momentum is defined as the quantity of the motion of the body.
Momentum is represented by the product of mass and velocity, or in other words p=mass × velocity
Momentum is called as a vector quantity. It means it has proper magnitude and proper direction.
From momentum, impulse is also calculated.
At rest stage velocity of motorcycle is 0m/sec
Therefore, momentum=100×0=0Kg-m/sec
Now, when motorcycle is moving with speed 40m/sec, then momentum is
=>p=100kg×40m/sec
=>p=4000kg-m/sec
There are various laws in physics which are derived by the conservation of momentum.
Hence, magnitude of momentum are 0kg-m/sec and 4000kg-m/sec.
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A driver of a car traveling 14.6 m/s must slam on the brakes to avoid hitting a black bear crossing the road. If it takes 3.00 seconds for the vehicle to slow down to a stop at 0.0 m/s, what is the acceleration over the three seconds?
Answer:
a = (V2 - V1) / t = (0 - 14.6) / 3 = -4.87 m/s^2
It might be useful to convert 14.6 m/s to mph
14.6 m/s * 39.37 in/m = 575 in /s
575 in/s / 12 in/ft = 47.9 ft/sec
47.9 ft/s / 88 ft/sec * 60 mph = 32.6 mph
What is it called when data are arranged in rows and columns?
O A. Interpolation
O B. Correlation
O C. Table
OD. Bar graph
Answer:
C. Table
What is a Database table?
A organized collection of records is called a database table. The main key that uniquely identifies each row in the table. Since no two rows may have the same instantaneous value thanks to a unique key, it is simple to choose a row by its main key. A table can also contain several columns, each of which can hold a distinct kind of data. The information stored is verified using the column name and data type.
The table name is the linguistic component of a database table. It can represent expressions or variable items, and it must be typed exactly. Square brackets denote a need for the item, whereas curly braces denote an optional element. An alternate choice is indicated by a vertical bar. A main key is a single field, and a secondary key might be a combination of many fields. This kind of information is crucial.
Any field in the data table can be referenced by the secondary key. A database's data field may be a string, a number, a date, or a time. A table's first field should always be the main key, followed by any foreign keys. Actual data should never be present in a primary key. Since the immediate key value is derived from external sources, it is crucial to use it properly. Otherwise, data input mistakes may occur.
The information kept in the database table is referred to as a secondary key. This kind is a primary key, which implies it is a secondary key. A primary key can be used as an alternate key to distinguish between different records in a table and to uniquely identify a record inside a database. Multiple fields that can be either main or alternative make up a composite key.
Depending on the type of data being stored and its intended use, a database table may have a single row or several. The main key determines the number of rows, which might be 50 or more. A secondary key can be used to establish connections between various tables and to distinguish between various data types in a database. A data table also includes a secondary key, which is essential for data retrieval and is separate from the primary key.
You can have local or global database tables. The two types of tables differ in terms of names, availability, and visibility. A global table is accessible to all users and may be utilized by any other user, while a local table is only visible to the present user. It is distinct from a typical table and requires more effort to build than a straightforward one does. Its main function is to maintain a database and store data.
Rows in a database table can be of any size. A table's rows can include any number of columns. A database table's rows can be arranged in any way. The number of rows on a data page might range from one to thousands. Each row may consist of a clustered index, a row, or both. A list of columns may also be present in a row. A clustered index can only contain information in a particular sequence.
A table can be set up in two different ways. The information-containing row of data is its main key. The data column that contains the values for a row is known as a secondary key. A database that employs rows is the third form of table. Multiple primary keys are possible for a data row, and a secondary key is a secondary key that refers to a row column. A database will have a foreign key if it is formed with a single primary key.
There is no limit to the amount of rows and columns in a database table. Up to 1,024 rows are allowed in a typical user-defined table. The server's storage capacity determines how many rows can fit in a database table. A table can have characteristics added to it in addition to the column and row. A restriction can stop a row from having empty fields. The connection between two tables can be established via an important control.
A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you. Which direction does the force on the wire point?
A. Down
B. Up
C. Left
D. Right
Explanation:
To determine the direction of the force on the wire, we can use the right-hand rule for the cross product of two vectors. The force on the wire is given by:F = I * L x Bwhere I is the current, L is the length of the wire, and B is the magnetic field.
If we point our right-hand thumb in the direction of the current (to the right), and our fingers in the direction of the magnetic field (away from us), then our palm will point in the direction of the force.
So, using the right-hand rule, we can see that the force on the wire will be directed downward. Therefore, the correct answer is A. Down.if the potential difference applied across a particular capacitor is doubled, the stored energy will be doubled. What happens to the energy stored?
If the potential difference across a capacitor is doubled, the energy stored in it is quadrupled.
The ability difference between any points inside the electric-powered field is defined as the quantity of labor done in transferring a unit of fantastic charge without acceleration from one point to another alongside any route among the 2 factors. The distinction in price between higher capability and lower capacity is known as a voltage or capacity distinction.
The voltage between points can be a result of the build-up of electric rate (e.g., a capacitor), and from an electromotive pressure (e.g., electromagnetic induction in generators, inductors, and transformers).On a macroscopic scale, a potential distinction can be due to electrochemical methods (e.g., cells and batteries), the stress-induced piezoelectric effect, and the thermoelectric effect.
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Explain one way the water cycle effects climate change. use complete sentences.
1. Calculate the heat capacity of a piece of wood if 1500.0 g of the wood absorbs 6.750.000 joules of heat,
and its temperature changes from 32°C to 57°C.
Answer:
1.8 J/gºC
Explanation:
From the question given above, the following data were obtained:
Mass (M) = 1500 g
Heat (Q) absorbed = 67500 J
Initial temperature (T₁) = 32 °C
Final temperature (T₂) = 57 °C
Specific heat capacity (C) =?
Next, we shall determine the change in temperature of the wood. This can be obtained as follow:
Initial temperature (T₁) = 32 °C
Final temperature (T₂) = 57 °C
Change in temperature (ΔT) =.?
ΔT = T₂ – T₁
ΔT = 57 – 32
ΔT = 25 °C
Finally, we shall determine the heat capacity of the wood. This can be obtained as follow:
Mass (M) = 1500 g
Heat (Q) absorbed = 67500 J
Change in temperature (ΔT) = 25 °C
Specific heat capacity (C) =?
Q = MCΔT
67500 = 1500 × C × 25
67500 = 37500 × C
Divide both side by 37500
C = 67500 / 37500
C = 1.8 J/gºC
Thus, the heat capacity of the wood is 1.8 J/gºC
Could someone make sure My answers are correct... Thank you
What is the difference between covalent and ionic bonds?
Answer: Covalent bonds share electrons; ionic bonds transfer electrons
What is the charge on the metal ion in iron bromide: FeBr3?
Answer: +3
What would be the proper chemical formula for combining these two ions:
Al+3 and Cl-1
Answer: AlCl3
Name the following compound: NaF. Hint: Is this an ionic or covalent compound?Answer: sodium fluoride
What is the charge on the nonmetal in the ionic compound calcium phosphide?
Answer: -3
Given the Lewis dot structures of oxygen and magnesium, predict the ionic formula. *Mg* *O*
Answer: MgO
Hint: When you have a lewis dot structure, you can move the electrons from the metal to the nonmetal until there are zero or 8 dots around each. If necessary, you add more atoms until all atoms have this octet. Then you add up how many of each element you have and those are the subscripts!
Select all correct statements relating to the octet rule.
Answers:
atoms require 8 valence electrons in order to be stable.
atoms will share or transfer electrons in order to be stable.
When Beryllium and Fluorine join together,
Answer: a Beryllium atom donates two electrons, one to each Fluorine atom.
Hint: Beryllium is in group 2 so it has 2 valence electrons. Since Fluorine can only take one, there must be 2 fluorine atoms that bond with each beryllium atom.
Determine if each property relates to ionic or covalent bonds, both of them, or if the statement is completely false (nether).
Low melting point
give and take electrons
atoms come together to form compounds
salts
molecules
do not conduct electricity
electrolytes
cations and anions
high boiling point
want to reach octet to be stable
only exist as liquid and gases
share or transfer protons
strongly bonded crystalline structure
Contain a metal and a nonmetal
Contain all nonmetals
Answers:
covalent, ionic, both ionic and covalent, ionic, covalent, covalent, ionic, ionic,ionic, both ionic and covalent, neither ionic nor covalent, neither ionic and covalent, ionic, covalent
Check all of the prefixes that are correctly matched with the number they represent.
mono- 1
penta- 5
octa- 8
tri- 3
Match the element or the group to its number of valence electrons.
Group 2
Phosphorous
Sodium and Potassium
the Nobel Gases
Bromine and Chlorine
Carbon
Group 13
Oxygen and Sulfur
answers: 2,5,1,8,7,4,3,6
What is the charge on the metal ion in Silver Oxide, Ag2O?
Answer: +1
Hint: Oxygens subscript is a 1, so that's the charge on silver.
An ionic compound has a generic formula of QR2.
Which elements could the Q and R represent?
Once you choose an answer, check it by plugging those elements into the QR2 formula to see if it looks right.
Answer: Q= Magnesium R= Chlorine
Hint: To write an ionic formula, the charges are crossed down to form subscripts. So, take the subscripts and cross them up to see the charges!
Then consult the periodic table to find out which elements have those charges.
The first element in an ionic formula is always a metal so this will be in group 1, 2, or 13.
The second element in an ionic formula is always a nonmetal and will be found in group 15, 16, or 17.
Name this compound: PCl3
Is it ionic or covalent?
Answer: Phosphorous Trichloride; covalent
What is the formula for dinitrogen pentaoxide?
Answer: N2O5
Determine whether the compound is ionic or covalent.
BaF
AlN
NO
water
calcium iodide
sugar
answers: ionic, ionic,covalent, covalent, ionic, covalent
Answer:
I believe that number 1 is correct I am not sure about the others
Sorry for not being more helpful
Explanation:
Answer:
All your answers are correct
Explanation:
I took the test and got a 100
Consider the scatter plot.
Select an answer from the drop-down menu to correctly complete the statement.
The scatter plot shows a
Choose...
association.
Scatter plot of 10 points. Generally, the points form an upside down U shape.
Linear, exponential, and U-shaped are several ways to characterise the correlation's shape.
What is a scatter plot Mcq?Using a scatterplot, you can see how one variable's scores are compared to another variable's scores. Values that emerge in the data frequently. a bunch of data's mean value.Positive or negative directions can be used to describe the direction of a scatter plot. The direction is positive if the points of the scatterplot move up from left to right or if the explained variable rises as the explanatory variable rises.In scatterplots, we frequently see patterns or connections. When the y variable tends to rise as the x variable rises, we say the variables are positively correlated. A negative correlation between the variables is present when the y variable tends to fall as the x variable rises.To learn more about shape refer to:
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(Application) You are asked to design a multiple lens system for the scenarios below. The lenses youhave available to you are:1. converging (f =7.5 cm)2. converging (f =15.0 cm)3. diverging (f = -15.0 cm)Think about the following scenarios:A) Lens 1 makes a real image i1, of which lens 2 makes a real image i2.B) Lens 1 makes a real image i1, of which diverging lens 2 makes a virtual image i2.C) Converging lens 1 makes a virtual image i1, of which converging lens 2 makes a virtual image i2.D) Converging lens 1 makes a virtual image i1, of which lens 2 makes a real image i2.For each scenario, decide:1) What type of lens is lens 1? Lens 2? Why? 2) Where should the object be placed with respect to the focal point to make the indicated type of image?3) Make a schematic drawing for Scenario D only. If you want extra practice, try to makeschematic drawings of the other three scenarios.
Answer:
1) A) Lens converging, B) lens 1 converging
2) A and B object is at a greater distance than its focal
3)
Explanation:
For this exercise we will give some more important characteristics of the lenses.
we use the equation of the constructor
1 / f = 1 / p + 1 / q
where f is the focal length and p and qlas the distance to the object and image, respectively.
We must also use how the lenses are combined
1 / = 1 / f₁ + 1 / f₂
where feq is the equivalent focal length and it is assumed that the two lenses are in contact.
By applying the equation of the constructor you get some characteristics of the image
Converging lens
* Object farther than focal length real and inverted image
* Oject after focal virtual image and right
Diverging lens
* for all virtual image distance and right
with this information let's analyze the different configurations
1) let's do an analysis for each scenario
A) since lens 1 and lens 2 create real image they must be converging lenses
B) Lens 1 must be convergent and lens 2 can be of both types
C) Lens 1 can be convergent with the object that is at a shorter distance than at focal point (p <f₁). The same analysis diverges for lens 2, the object that is the image of the other lens is shorter than its focal distance p₂ <f₂
D) the object is at a shorter distance than the focal length p₁ <f₁, the object for this lens is at a greater distance than its focal point p₂> f₂
2) let's analyze for each scenario
A) for each lens the object is at a greater distance than its focal length p₁> f₁ and p₂> f₂
B) for lens 1 p₁> f₁
for lens 2
if it is convergent p₂ <f₂
and if it is divergent any distance is possible
C) lens 1 p₁ <f₁ and for lens 2 p₂ <f₂
D) lens 1 p₁ <f₁ and for lens 2 p₂> f₂
3) see attached
The distance with subscript 1 is measured with respect to line1 and the distance with subscript 2 is measured with respect to the lens with subscript 2
Many of the important discoveries of genetics and inheritance came from these:
fruit flies
zebras
enzymes
Answer:
fruit flies
Explanation:
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In our warmup today we're looking closer at our aquariums. We need to get them clean so we can start a new aquarium setup , but there's something on the inside of the glass, the outside of the hood, and the outside of the filter.
1. What is that white residue on our aquariums?
2. How does it form?
3. Where does it come from?
4. How do we get rid of it?
The white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.
What is the significance of the aquarium?Its significance includes that an aquarium can be a place for people to learn about aquatic animals, for the conservation of some animals, for entertainment, and also for use in research proposals, etc.
Hence, the white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.
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If the wind bounces backward from the sail, will the craft be set in motion?
If the wind bounces backward from the sail, the boat will not be set in motion as no forward force is generated. For the boat to move forward, the sail must be positioned to catch the wind and create lift in the desired direction.
If the wind bounces backward from the sail, the craft will not be set in motion. In order for a sailboat to move forward, the wind must push on the sail, creating a force that propels the boat forward through the water. When the wind hits the sail, it creates lift in a direction perpendicular to the sail's surface, which results in a forward force that propels the boat.
However, if the wind bounces backward from the sail, it does not create lift and therefore does not result in a forward force on the boat. Instead, the wind is redirected in a different direction, and the boat remains stationary. In order for the boat to move forward, the sail must be positioned to catch the wind and create lift in the desired direction, propelling the boat forward.
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A gun is fired with muzzle velocity 1114 feet per second at a target 4950 feet away. Find the minimum angle of elevation necessary to hit the target. Assume the initial height of the bullet is 0 feet, neglect air resistance, and give your answer in degrees.
Answer:
The elevation angle is \(\theta = 3.67^o\)
Explanation:
From the question we are told that
The velocity is \(u = 1114\ ft/s\)
The range of the bullet projection is \(R = 4950 \ ft\)
The initial height of bullet is \(h_1 = 0 \ ft\)
Range of this bullet projection is mathematically represented as
\(R = \frac{u^2 sin (2 \theta )}{g}\)
=> \(\theta = \frac{sin ^{-1} [\frac{R * g }{ u^2} ]}{2}\)
Here \(g = 32 ft/s^2\)
substituting values
\(\theta = \frac{sin ^{-1} [\frac{4950 * 32 }{ 1114^2} ]}{2}\)
\(\theta = 3.67^o\)
The default unit of rotational speed is 'radians per second' or 'rad/s'. If a someone sits at the edge of a 5m radius carousel and has tangential speed of 2 m/s, what is the rotational speed in rad/s?
A. 2.5
B. 3
C. 7
D. 10
The rotational speed of the person is 0.4 rad/s.
Rotational speed (rad/s)
The rotational speed of the person in radian per second is calculated as follows;
v = ωr
where;
v is linear speed in m/sr is radius in metersω is speed in rad/sω = v/r
ω = 2/5
ω = 0.4 rad/s
Thus, the rotational speed of the person is 0.4 rad/s.
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what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2
The pressure of a tank of uniform cross-sectional area 4.0m2 when the tank is filled with water at a depth of 6m is 58800 Pa.
Pressure calculationTo find the pressure in the tank, we can use the formula for pressure:
Pressure = density x gravity x height
Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) = 6 m
Thus:
Pressure = 1000 kg/m³ x 9.8 m/s² x 6 m
Pressure = 58800 kg/(m·s²)
Since the unit of pressure is Pascal (Pa), which is equivalent to kg/(m·s²), the pressure in the tank is:
Pressure = 58800 Pa
Therefore, the pressure in the tank when it is filled with water to a depth of 6 m is 58800 Pascal.
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5 uses of scandium and bismuth in the everyday life?
Answer:
below hun
Explanation:
Bismuth: cosmetics, alloys, fire extinguishers, and ammunition.
Scandium: bicycle frames, fishing rods, golf iron shafts, and baseball bats.
Calculate the ratio of H+ ions to OH– ions at a pH = 8. Find the concentration of H+ ions to OH– ions listed in Table B of your Student Guide. Then divide the H+ concentration by the OH– concentration. Record this calculated ratio in Table A of your Student Guide. Compare your approximated and calculated ratios of H+ ions to OH– ions at a pH = 8. Are they the same? Why or why not? Record your explanation in Table A. What is the concentration of H+ ions at a pH = 8? mol/L What is the concentration of OH– ions at a pH = 8? mol/L What is the ratio of H+ ions to OH– ions at a pH = 8? :1 OR 1:
At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.
To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.
The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:
\(C_H\)+ = \(10^(^-^p^H^)\)
Substituting pH = 8 into the formula:
\(C_H\)+ = \(10^(^-^8^))\)
Using the properties of logarithms, we can calculate the concentration of H+ ions:
\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L
According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.
To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:
Ratio = \(C_H\)+ / \(C_O_H\)-
Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))
Ratio = 1:1
The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.
When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.
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PLEASE HELP IM DOING A TEST
Choose all the answers that apply.
Earth:
has the most circular orbit in the solar system
has seasons because of a tilted axis
is a perfect sphere
has the largest satellite relative to its planet
takes longer than 365 days to orbit the sun
Answer:
has seasons because of a tilted axis
takes longer than 365 days to orbit the sun
Explanation:
Note: We see 365 days for a year - from an external point of view, a year would take 366 days to orbit the sun - this is because it takes slightly less than 24 hours from sunrise to sunrise because of the rotation of the earth about the sun (a sidereal year is 366 days as compared to 365 days observed on earth)
A negative charge of 2 C and a positive charge of 3 C are separated by 80 m. What is the force between the two charges?
Answer:
6
Explanation: i looked this up.
According to the Coloumb's law, the force is obtained from the charges and the distance between them is 8.4375×10⁶ N. This force results in the attractive force.
What is Coloumb's law?Coloumb's law states the relation between the charges and the distance between the charges. Coloumb's law states that the Force is directly proportional to the product of charges and inversely proprotional to the square of distance between them.
The Coloumb's law gives the force of attraction or repulsion between the charged bodies. Two charges with positive or negative charges repels each other. One positive and one negative charge attract each other.
The force increases with the product of charges increases as product of charges and force are directly proprotional. The force decreases with the increase in distance of seperation and vice-versa. The SI unit of force is newton (N).
The Coloumb's law is:
F = k (q₁×q₂ / r²)
k is the constant of proportionality and is equal to 9×10⁹ N.m²/C².
q₁, q₂ = charges
r² = distance of seperation of charges.
From the given,
q₁ = -2C ( negative sign represents the negative charge)
q₂ = +3C ( + sign represents the positive charge)
r² = 80 m ( distance between the charges)
F = k (q₁×q₂ / r²)
= 9×10⁹×2×3 / 80×80
= 54×10⁹ / 6400
= 8437500 N
F = 8.4375×10⁶ N
There is the presesnce of both positive and negative charges, hence it results in the attractive force. Hence, the force F between two charges separated by 80m is 8.4375×10⁶ N.
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Multiple part question Here are the needed details:Five rotations took 5.15 seconds 1 rotation took 1.07s Distance from shoulder to elbow is 29 cm distance from shoulder to middle of the hand is 57cm.Questions:2. A how far in degrees did the hand travel during the five rotations?B. How far in radians did the hand travel during the five rotations?C. How far in meters did the hand travel during the five rotations?3. A. What was the average angular speed (degrees/s and rad/s) of the hand?B. What was the average linear speed (m/s) of the hand?C. Are the answers to a and b the same or different? Explain.4. A. What was the average angular acceleration (degrees/s squared and rad/s squared) of the hand. How do you know?B. What was the average centripetal acceleration (m/s squared) of the hand?C. Are the answers to a and b the same or different. Explain.5. A. How far (degrees and rad) did the elbow travel during the five rotations?B. How far (m) did the elbow travel during the five rotations?C. How do these compare to the hand? Why are they the same and or/different?6. A. What was the average angular speed (degrees/s and rad/s) of the elbow?B. What was the average linear speed (m/s) of the elbow?C. How do these compare to the hand? Why are they the same and or/different?7. A. What was the average angular acceleration (degrees/s squared and rad/s squared) of the elbow?B. What was the average centripetal acceleration (m/s squared) of the elbow?C. How do these compare to the hand? Why are they the same and or/ different?
Given:
Time taken for 5 rotations = 5.15 seconds
Time for 1 rotation = 1.07 seconds
Distance from shoulder to elbow = 29 cm
Distance from shoulder to the middle of the hand = 57 cm
Let's use the information above to answer the following questions.
Question 2:
Let's determine how far in degrees the hand travelled during the five rotations.
In one full rotation, we have 360 degrees.
Thus, 5 full rotations = 5 * 360 = 1800 degrees
Therefore, in 5 full rotations, the hand travelled 1800 degrees.
B. In radians, we have:
180 degrees = π rad
\(1800\degree=\frac{\pi}{180}\ast1800=10\pi\text{ radians}\)C. To find the distance in meters, we have:
Distance from elbow to shoulder = 29 cm = 0.29 meters
\(2\pi\ast5\ast0.29=9.11\text{meters}\)Therefore, the hand travelled 9.11 meters during the five rotations.
Question 3:
A. To find the average angular speed, apply the formula:
\(\begin{gathered} w=\frac{10\pi}{t}\text{ (rad/s)} \\ \\ w=\frac{1800}{t}\text{ (degre}es\text{/s)} \end{gathered}\)Where t = 5.15 seconds
Thus, we have:
\(\begin{gathered} w=\frac{10\pi}{5.15}=6.1\text{ rad/s} \\ \\ w=\frac{1800}{5.15}=349.5\text{ degre}es\text{/s} \end{gathered}\)B. Average linear speed of the hand.
To find the average linear speed of the hand, we have:
\(v=\frac{10\pi r}{t}=\frac{10\pi}{5.15}\ast\frac{1}{2}=3.05\text{ m/s}\)C. The average angular speed and average linear speed are the same
True or False
Microscopic organisms grow on the rocks near a volcano if the rocks are cooled to 120 degrees Celsius or less.
Explanation:
it's true
Kiss me if I'm wrong. But dinosaurs still exist right?
Answer:
True
Definetely true
We cannot work without friction . why?
Answer:
thing will slide apart
Explanation:
Friction prevents objects from sliding apart. Everything would slide to the lowest point if there was no friction. It would be impossible to scale anything. We will be unable to write without friction.
Which term defines the distance from crest to crest
Answer:
The horizontal distance between two adjacent crests or troughs is known as the wavelength.
Answer: Wavelength
Explanation:
From crest to crest, it is one full wavelength
There are two identical, positively charged conducting spheres fixed in space. The spheres are 40.4 cm apart (center to center) and repel each other with an electrostatic force of F1=0.0720 N . A thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel, but with a force of F2=0.115 N . The Coulomb force constant is k=1/(4π????0)=8.99×109 N⋅m2/C2 . Using this information, find the initial charge on each sphere, q1 and q2 , if q1 is initially less than q2 .
Answer:
\(q_1=5.64\times 10^{-7}\ \text{C}\) and \(q_2=2.32\times 10^{-6}\ \text{C}\)
Explanation:
\(F_1=0.072\ \text{N}\)
\(F_2=0.115\ \text{N}\)
r = Distance between shells = 40.4 cm
\(q_1\) and \(q_2\) are the charges
\(k\) = Coulomb constant = \(8.99\times10^{9}\ \text{Nm}^2/\text{C}^2\)
Force is given by
\(F_1=\dfrac{kq_1q_2}{r^2}\\\Rightarrow q_1q_2=\dfrac{F_1r^2}{k}\\\Rightarrow q_1q_2=\dfrac{0.072\times 0.404^2}{8.99\times 10^{9}}\\\Rightarrow q_1q_2=1.307\times 10^{-12}\\\Rightarrow q_1=\dfrac{1.307\times 10^{-12}}{q_2}\)
\(F_2=\dfrac{kq^2}{r^2}\\\Rightarrow q=\sqrt{\dfrac{F_2r^2}{k}}\\\Rightarrow q=\sqrt{\dfrac{0.115\times 0.404^2}{8.99\times 10^{9}}}\\\Rightarrow q=1.44\times 10^{-6}\ \text{C}\)
\(q=\dfrac{q_1+q_2}{2}\\\Rightarrow q_1+q_2=2q\\\Rightarrow q_1+q_2=2\times1.44\times 10^{-6}\\\Rightarrow q_1+q_2=2.88\times 10^{-6}\)
Substituting the above value of \(q_1\) we get
\(\dfrac{1.307\times 10^{-12}}{q_2}+q_2=2.88\times 10^{-6}\\\Rightarrow q_2^2-2.88\times 10^{-6}q_2+1.307\times 10^{-12}=0\\\Rightarrow \frac{-\left(-0.00000288\right)\pm \sqrt{\left(-0.00000288\right)^2-4\times \:1\times \:1.307\times 10^{-12}}}{2\times \:1}\\\Rightarrow q_2=2.32\times 10^{-6}, 5.64\times 10^{-7}\)
\(q_1=\dfrac{1.307\times 10^{-12}}{q_2}=\dfrac{1.307\times 10^{-12}}{2.32\times 10^{-6}}\\\Rightarrow q_1=5.63\times 10^{-7}\)
\(q_1=\dfrac{1.307\times 10^{-12}}{q_2}=\dfrac{1.307\times 10^{-12}}{5.64\times 10^{-7}}\\\Rightarrow q_1=2.32\times 10^{-6}\)
Since we know \(q_1<q_2\)
\(q_1=5.64\times 10^{-7}\ \text{C}\) and \(q_2=2.32\times 10^{-6}\ \text{C}\).
what is the processes found at a divergent boundary that helps form metamorphic rocks, igneous rocks, and sedimentary rocks. I need the process name for each one pls
At a divergent boundary, heat and pressure can cause metamorphism, magma can solidify to form igneous rocks, and sediments can accumulate and lithify to form sedimentary rocks. These three processes contribute to the formation of various types of rocks.
At a divergent boundary, three main processes occur that can lead to the formation of metamorphic, igneous, and sedimentary rocks:
1. Metamorphic rocks: Heat and pressure from the divergent boundary can cause existing rocks to be metamorphosed, or transformed, into new rocks with different textures and mineral compositions. This process is called metamorphism.
2. Igneous rocks: Magma, which is molten rock, can rise to the surface at a divergent boundary and cool and solidify to form igneous rocks. This process is called solidification or crystallization.
3. Sedimentary rocks: Sediments, such as sand and mud, can accumulate in the low-lying areas near a divergent boundary, such as in rift valleys or on the continental shelf. Over time, these sediments can be compacted and cemented together to form sedimentary rocks. This process is called lithification.
Hence, Heat and pressure at a divergent boundary can produce metamorphism, solidify magma to create igneous rocks, and accumulate and lithify sediment to create sedimentary rocks. Different sorts of rocks are formed as a result of these three processes.
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In a symphony a single violin produces 25.0 dB sound intensity, if the conductor desires a robust
sound intensity of 70.0 dB from violin section, how many violin players does he employ?
He has to employ 31623 violin players.
What is intensity of sound in dB?The SI unit for sound intensity is W/m^2, although considering how humans hear sounds, the decibel (dB) scale of sound intensity is more useful. The logarithm of the intensity of a sound, as opposed to the intensity of a sound directly, is a better indicator of how human ears perceive sound.
Ten decibels (dB) are equal to every factor of ten in intensity.
For this case, a 70.0 dB sound is 45 dB louder than a 60 dB sound, 4.5 factors of 10 (10^4.5) as intense.
Hence, if a single violin produces 25.0 dB sound intensity, to produce a robust sound intensity of 70.0 dB from violin section, he has to employ 10^4.5 = 31623 violin players.
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