Based on their locations on the periodic table, which two elements would you
expect to form positive ions with a +3 charge?
O A. Nitrogen, N
O B. Aluminum, Al
O C. Phosphorus, P
D. Boron, B

Answers

Answer 1

Answer:

i think it would be B. Aluminum, Al and D. Boron, B

Explanation:

since they're both in group 13 and they forms a 3+ ion


Related Questions

A t-rated switch may be used to (its/a) ______ current capacity when controlling an incandescent lighting load.

Answers

Rated

A t-rated switch may be used to (its/a) Rated current capacity current capacity when controlling an incandescent lighting load.

What is "current rating"?The greatest current that a fuse is rated to carry for an infinite duration without significantly degrading the fuse element is known as the current rating. There is also a large selection of power switching transistors that have voltage ratings well over 1000V and current ratings up to several hundred amps.

What does the term "rated current" mean?When an electrical device receives its rated voltage and outputs its rated power, it flows at its rated current. So, when a device is designed for a certain amperage, that amperage is referred to as the equipment's rated current.

What does electrical "rated" mean?An electrical appliance's rating reveals the voltage range at which it is intended to operate as well as the current consumption at that range. These numbers are typically shown on a rating plate that is fastened to the device, such as 230 volts, 3 amps.

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In fission reactors one deals with neutrons having kinetic energies as high as10 MeV. How much error is incurred in computing the speed of 10-MeV neu-trons by using the classical expression rather than the relativistic expressionfor kinetic energy

Answers

For 10-MeV neutrons, the difference in speeds between classical and relativistic kinematics is not large, but the relativistic kinetic energy must be used in order to be accurate.

Reactors are designed to sustain and control nuclear chain reactions for generating power, and in fission reactions, neutrons with energies up to 10 MeV are produced. These fast neutrons are used to initiate fission in the nuclei of fissionable materials. In order to calculate the velocity of neutrons, one must use the correct expression for kinetic energy.The classical kinetic energy expression, $KE=\frac{1}{2}mv^2$, is not valid for neutrons travelling at relativistic speeds. The relativistic energy expression for a particle with mass m and velocity v is $E=(mc^2)\sqrt{1-\frac{v^2}{c^2}}$, where c is the speed of light.In the case of 10-MeV neutrons, the difference in speeds between classical and relativistic kinematics is not large, but the relativistic kinetic energy must be used in order to be accurate.

Using the classical expression for kinetic energy would result in an error of less than 1%, but it is still important to use the correct expression when calculating the velocity of high-energy particles.

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Calculate the expected chain-length (number of repeating units
per chain) that would be formed in your experiment, assuming all
initiators initiate chains and all monomers add onto the chains.
That is

Answers

The expected chain length (number of repeating units per chain) that would be formed in the experiment, assuming all initiators initiate chains and all monomers add onto the chains can be calculated using the following formula.

Expected chain length = (Number of moles of monomers used/Number of moles of initiators used) + 1Where,+ 1 denotes the length of the initiator's unit and is added to the average number of monomer units. Hence, it indicates the length of the polymer's first unit.The number of moles of monomers used can be determined as follows

The number of moles of initiators used can be determined as follows:Number of moles of initiators = (Mass of initiators used/Molecular weight of initiators)Example:If the mass of monomers used is 0.05 g and the molecular weight of monomers is 100 g/mol, then the number of moles of monomers used

= (0.05/100) mol

= 5 × 10⁻⁴ molIf the mass of initiators used is 0.01 g and the molecular weight of initiators is 200 g/mol

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hammer falls off a roof top and strikes the ground with a certain kinetic energy. If it fell
from a roof twice as tall, how would its kinetic energy compare?

Answers

Answer:

If the starting GPE is doubled than it's KE would also double.

Which object has a tail when it passes near the sun
A. Asteroid
B. Comet
C. Moon
D. Meteor

Answers

B A Comet, hope this helps.

The Comet (B) is the object that develops a "tail" when it enters the inner solar system and the sun heats it up.

But it's really kind of weird to call it a "tail".  Once the comet passes closest to the sun and starts to head out of the solar system again, the so-called "tail" goes IN FRONT of it.

The potential difference between the two plates of a capacitor is 8. 5 v. If the separation between the plates is 4. 1 mm, what is the strength of the electric field between the plates n/c?.

Answers

Hello!

We can use the following equation:

\(V = Ed\)

V = Potential Difference (V)

E = Electric Field (N/C)

d = distance between plates (m)

Begin by converting 4.1 mm to m.

1 mm = 0.001 m

4.1 mm = 0.0041 m

Now, we can solve for the electric field strength.

\(E = \frac{V}{d} = \frac{8.5}{0.0041} = \boxed{2037.17 \frac{N}{C}}\)

A periodic wave having a frequency of 5.0 hertz and a speed of 10 meters per second has a wavelength of?

A periodic wave having a frequency of 5.0 hertz and a speed of 10 meters per second has a wavelength

Answers

ANSWER

\(\begin{equation*} 2.0\text{ }m \end{equation*}\)

EXPLANATION

To find the wavelength of the wave, apply the formula for the speed of a wave:

\(v=\lambda *f\)

where λ = wavelength

f = frequency

Therefore, by substituting the given values into the equation and solving for λ, the wavelength of the wave is:

\(\begin{gathered} 10=\lambda *5 \\ \Rightarrowλ=\frac{10}{5} \\ λ=2.0\text{ }m \end{gathered}\)

That is the answer.

a ball is thrown vertically upward with a speed of 30.0 m/s. how long does it take to reach its highest point?

Answers

It takes the ball 3.06 seconds to reach its highest point

To find how long does it take to reach its highest point

The time it takes for a ball to reach its highest point is given by the equation:

t = v / g

where

t is the time in secondsv is the initial velocity in meters per secondg is the acceleration due to gravity, which is approximately \(9.8 m/s^2\)

In this case, the initial velocity is 30.0 m/s and the acceleration due to gravity is \(9.8 m/s^2\). Therefore, the time it takes for the ball to reach its highest point is:

\(t = 30.0 m/s / 9.8 m/s^2 = 3.06 s\)

Therefore, it takes the ball 3.06 seconds to reach its highest point.

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What are the characteristics of a blackbody radiator? Give an example.

Answers

Answer:

A blackbody, or Planckian radiator, is a cavity within a heated material from which heat cannot escape. No matter what the material, the walls of the cavity exhibit a characteristic spectral emission, which is a function of its temperature.

Example:

Emission from a blackbody is temperature dependent and at high temperature, a blackbody will emit a spectrum of photon energies that span the visible range, and therefore it will appear white. The Sun is an example of a high-temperature blackbody.

A triangular plate abc should have side ab 4 cm , side bc 6 cm and the internal angle between sides ab and bc equal to 60 degrees. What is the approximate measurement in cm that will result for the side ac?.​

Answers

We know that sides AB and BC measure 6 and 4 cm and that their angles are similar, now with all this we are asked to calculate the measure of AC, for this we have two options, one to use the sine law or the other to use the cosine law.

\(\qquad\) \(\purple{\twoheadrightarrow\pmb{AC= \sqrt{AB^{2} + BC^{2} -2AB\times BC\cos(\alpha)}}}\)

Substituting the data, we get the following:

\(\qquad\) \(\twoheadrightarrow\sf {AC= \sqrt{(4)^{2} + (6)^{2} -2(4)(6)\cos(60^{\circ})}}\)

\(\qquad\) \(\twoheadrightarrow\sf {AC= \sqrt{16+ 36 -48(1/2)}}\)

\(\qquad\) \(\twoheadrightarrow\sf {AC= \sqrt{52-24}}\)

\(\qquad\) \(\twoheadrightarrow\sf {AC= \sqrt{28}}\)

\(\qquad\) \(\twoheadrightarrow\sf {AC= 2\sqrt{7}}\)

\(\qquad\) \(\purple{\twoheadrightarrow\pmb{AC= 5.30\ cm}}\)

The AC side measurement is 5.30 cm approx.

HW 08-03 1 1 point A 3.3 kg block is sitting on a ramp inclined at an angle = 37. There are coefficients of friction μg = 0.44 and uk = 0.30 between the block and the ramp. What is the minimum force Fmin (in N) that must be applied horizontally in order to move the block up the ramp? Round your answer to one (1) decimal place. If there is no solution or if the solution cannot be found with the information provided, give your answer as: -1000 Type your answer... ch --00 Submit

Answers

The minimum force (Fmin) required to move the block up the ramp is 12.7 N.

Mass of the block (m) = 3.3 kg

Angle of the ramp (θ) = 37°

Coefficient of friction between the block and the ramp (μg) = 0.44

Coefficient of kinetic friction between the block and the ramp (uk) = 0.30

Step 1: Resolve the forces acting on the block.

The weight of the block (mg) can be resolved into two components:

- The force acting parallel to the incline (mg*sinθ)

- The force acting perpendicular to the incline (mg*cosθ)

Step 2: Calculate the force of friction.

The force of friction can be calculated using the equation:

Force of friction (Ff) = μg * (mg*cosθ)

Step 3: Determine the minimum force required.

To move the block up the ramp, the applied force (Fapplied) must overcome the force of friction.

Thus, the minimum force required (Fmin) is given by:

Fmin = Ff + Fapplied

Step 4: Substitute the given values and calculate.

Ff = μg * (mg*cosθ)

Fmin = Ff + Fapplied

Now, let's calculate the values:

Ff = 0.44 * (3.3 kg * 9.8 m/s² * cos(37°))

Ff ≈ 12.717 N

Fmin = 12.717 N + Fapplied

Therefore, the minimum force (Fmin) required to move the block up the ramp is approximately 12.7 N.

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Which of the following shows the relationship between work and energy?
O A. Work = total energy
B. Work = gravitational potential energy
C. Work = change in kinetic energy
D. Work = change in nonconservative forces

Answers

B work = gravitational potential energy

please fast
The system shown in the figure below uses three chain comveyors. Each chain has a hydraulic motor: The torque that drives the motors is T: =1500 N.m
1 T2 =700 Nm and, T3 = 300Nm. The displactment volume of the motors is V01 =1000 cm3/rev​ V02 =1000 cm3/rev and, V09 =500 cm3 /rex. The motss have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of the bydraulic motors 1 and 3 is internal completely and the leakage of the hydraulic motor 2 is external completely. The pump produces a constant volumetric flow rate of 6.3U/min.
The orifice of the flow control valve has a 0.5 mm diameter. The pressure fosses through the pipes are neglected. The capacity coefficient of the needie valve is 07. The volumetric Alow rate through the needle valve is given by: Q=C×A2 ×ΔF/rho where C is the capacity coefficient, A is the area of the orifice, ΔP is the difference of pressure through the needle valve and, rho is the density of the fiuid.
The density of the oil used in the hydraulic system is 860 kg/m3 . Determine the rotational speed of the motor 3 in rpm. a. 8 b. 92 c. 67 d. 42 e. 34 E. 56

Answers

The rotational speed of the motor 3 in rpm. b. 92

The figure shows a hydraulic circuit that uses three chain conveyors. The torque that drives the motors is T: =1500 N.m. T2 =700 Nm and, T3 = 300Nm.The volumetric flow rate produced by the pump is 6.3 liters per minute. The displacement volume of the motors is V01 =1000 cm3/rev. V02 =1000 cm3/rev and, V09 =500 cm3/rex.

The motors have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of hydraulic motors 1 and 3 is internal completely, while the leakage of hydraulic motor 2 is external completely.The orifice of the flow control valve has a diameter of 0.5 mm. The capacity coefficient of the needle valve is 0.7.

The pressure losses through the pipes are ignored. The volumetric flow rate through the needle valve is Q = C × A2 × ΔP / ρ where C is the capacity coefficient, A is the area of the orifice, ΔP is the pressure difference through the needle valve, and ρ is the density of the fluid. The density of the oil used in the hydraulic system is 860 kg/m3. We need to determine the rotational speed of motor 3 in rpm.

So,Let’s first determine the volumetric flow rate required by hydraulic motor 3. Using the expression of volumetric flow rate through the needle valve, we have Q = C × A2 × ΔP / ρ… (i)We are given that the capacity coefficient of the needle valve is 0.7. Its orifice diameter is 0.5 mm.

Hence, the area of the orifice is given byA2 = π d2 / 4where d is the diameter of the orifice. So, A2 = π × (0.5 mm)2 / 4 = 0.196 mm2 = 1.96 × 10-7 m2Using equation (i), we haveQ = C × A2 × ΔP / ρNow, we will calculate ΔP. To do this, we need to determine the flow rates Q1, Q2, and Q3.Let Q’ be the total volumetric flow rate through the system.

Since the overall efficiency of the system is given as 0.85, we haveQ’ = 0.85 × 6.3 l/min = 5.355 l/min = 5.355 × 10-3 m3/minWe know that the volume of fluid passing through the hydraulic motors is equal to their displacement volume multiplied by the number of revolutions per unit time.So, we haveQ1 = V01 × n1 … (ii)Q2 = V02 × n2 … (iii)Q3 = V03 × n3 … (iv)where V01, V02, and V03 are the displacement volumes of hydraulic motors 1, 2, and 3, respectively.

We are given that V01 = V02 = 1000 cm3/rev and V03 = 500 cm3/rev, which gives V01 = V02 = 1 × 10-6 m3/rev and V03 = 0.5 × 10-6 m3/rev.Substituting equations (ii), (iii), and (iv) in equation (i), we haveQ = C × A2 × (Q1 + Q2 - Q3) / ρSolving for Q3, we getQ3 = (Q1 + Q2 - Q) / C × A2 × ρPutting the given values in the above expression, we haveQ1 = V01 × n1 = (1 × 10-6 m3/rev) × n1Q2 = V02 × n2 = (1 × 10-6 m3/rev) × n2Q3 = V03 × n3 = (0.5 × 10-6 m3/rev) × n3Q = 5.355 × 10-3 m3/min = 5.355 × 10-3 / 60 m3/s = 8.925 × 10-5 m3/sA2 = 1.96 × 10-7 m2C = 0.7ρ = 860 kg/m3

Substituting the above values, we get8.925 × 10-5 = (1 × 10-6 × n1 + 1 × 10-6 × n2 - 0.5 × 10-6 × n3) / (0.7 × 1.96 × 10-7 × 860)Solving for n3, we have n3 = 91.6 rpmSo, the correct option is b. 92.

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PLEASE HELP!!!!!!!!

An object's mass increases, multiplied by a factor of 6. What factor would its Kinetic Energy increase by?

Answers

Answer:

6 also

Explanation:

Since Kinetic Energy and mass are directly proportional, as one increases, the other will increase with the same magnitude

a weight of mass 1.25 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.54 kg and radius 0.528 m. the system is released from rest. over what vertical distance does the hanging mass move in 3.0 seconds? ignore friction and drag forces, and assume that the string does not slip.

Answers

A weight of mass 1.25 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.54 kg and radius 0.528 m and the vertical distance s is 19.701 m.

To find the distance the given data are,

Mass suspended, m = 1.25 kg

Mass of the pulley, M = 4.54 kg

Radius of the pulley, r = 0.528 m

What is the relation of torque and tension in string?

Let us consider the tension in the string be 'T'

therefore,

the net force in the vertical direction

mg - T = ma

where, g is the acceleration due to the gravity

a is the acceleration of the hanging mass.

Let, Torque on the pulley = Iα

where,

I is the moment of inertia of the pulley

α is the angular acceleration.

Thus, torque = T × r

also

α = a/r

and I = (Mr²/2) for the circular disc

on substituting the values in the above relation for torque, we get

T × r = (Mr²/2) × (a/r)

or

T = (Ma)/2

On comparing the values of T,

mg - [(Ma)/2] = ma

or

mg = a (M/2+m)

Substituting the values, we get

1.25×9.8 = a( 4.54 /2 + 0.528)

on simplifying the above equation,

12.25 = a 2.798

a = 4.378 m/s²

or

s = ut + 1/2 at²

where, s is the distance covered

u is the initial speed = 0 (for this case)

t is the time = 3 seconds

therefore, on substituting the values, we get

s = 0 ×3 + 1/2 ( 4.378)(3²)

s = 19.701

Thus, the vertical distance s is 19.701 m.

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Question
Over time the density of salt in surface waters can increase.
What is the cause of this increase?
A. evaporation
B. precipitation
C. condensation


Please Help I Have A Unit Test!
Thank You!!

Answers

Answer:

Ofc! Uhm, The cause of that increase would be (C) As it rises.

Explanation:

I hope this helped a little- I'm sure that I won't be 100% correct as it is 11 pm for me, haha. Nya~ good luck on the test!

A car starts from rest and accelerates at 2.5m/s^2 for 2s. What is the final velocity of the car

Answers

Answer:

5m/s ez

Explanation:

plz make me brainliest

URGENT HELP PLS

1. Given a force-displacement curve as shown in the figure, what does the area of the region enclosed by the curve represent?

A. The force acting on the object

B. The displacement of the object

C. The magnitude of the coefficient of static friction

D. The work done on the object by the force

URGENT HELP PLS1. Given a force-displacement curve as shown in the figure, what does the area of the

Answers

Explanation:

work done is equals to force into displacement in the direction of force

Ans: D

it requires 320 N to hold two protons in a particular arrangement. An alpha particle carries 2 protons. How much force in Newtons would be required to maintain the arrangement, if one of the protons was replaced with an alpha particle?​

Answers

Answer: 480 N is required to maintain the arrangement .

Explanation:

Given, 320 N  force is required to hold 2 protons in a particular arrangement .

Then the force required to keep 1 proton in a particular arrangement = 320/2

= 160 N

Then if  a proton is replaced by an alpha particle , it is given that a alpha contains 2 protons , then we conclude that after replcament , the arrangement has 1 alpha and 1 proton = 3 protons

Then , the force exerted by 3 protons = 3×160 = 480 N

The force exerted by the arrangement , if one of the protons is replaced with alpha is 480 N

   

Calculate the electrical energy transferred by a 60W electric bulb that is turned on for 20s and 5minutes.

Answers

Answer:

approximately 0.00504 kWh

Explanation:

This electrical energy and is measured in kWh.

For 5 minutes and 20 seconds of use, it is 0.06 W x 0.084 h = 0.00504 kWh.

Note: 60W = 0.06kW; 5min 20sec = 0.083(8) ≈ 0.084 hour

Consider each of the electric- and magnetic- field orientations given next. In each case, what is the direction of propagation of the wave? ( a) E in the +x direction, B in the +y direction; ( b) E in the -y direction, B in the +x direction; ( c) E in the +z direction, B in the -x direction.

Answers

Given the electric- and magnetic- field orientations, we need to determine the direction of propagation of the wave.

This can be determined using the right-hand rule.

To apply the right-hand rule to determine the direction of an electromagnetic field, follow these steps:

Extend your right hand and orient your thumb, index finger, and middle finger perpendicular to each other, creating a three-dimensional coordinate system.Assign the following directions to your fingers: a) Thumb: Represents the direction of the motion of a positive charge or conventional current (from positive to negative). b) Index finger: Indicates the direction of the magnetic field lines. c) Middle finger: Indicates the direction of the induced electric field, if applicable.To determine the direction of the electromagnetic field, align your fingers according to the specific scenario you are considering.

a) E in the +x direction, B in the +y direction:

For a wave with electric field in the +x direction and magnetic field in the +y direction, the direction of propagation of the wave is in the -z direction.

b) E in the -y direction, B in the +x direction:

For a wave with electric field in the -y direction and magnetic field in the +x direction, the direction of propagation of the wave is in the +z direction.

c) E in the +z direction, B in the -x direction:

For a wave with electric field in the +z direction and magnetic field in the -x direction, the direction of propagation of the wave is in the +y direction.

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of the following states of motion, the one which requires balanced forces is:
A: a decrease in speed in a straight line
B: an increase in speed in a straight line
C: constant speed in a straight line
D: a change in the direction of the motion

Answers

I believe it would be D a change in direction of motion

A balanced force is required for a change in the direction of the motion.

What is a force?

According to Newton's second law of motion, the force applied to a body is directly proportional to the product of mass and acceleration of the body.

Balanced forces

Balanced forces are those that are opposite in direction and equal in size. When forces are balanced there is no change in direction.

Thus, when there is change in direction, a balance force can be applied to cancel the change in direction of motion.

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A materiel that allows electricity to flow easily is called an

Answers

A materiel that allows electricity to flow easily is called an conductor

When do (object distance) is very large, what does the thin lens equation predict for the value of 1/f?
Similarly, when do (object distance) is very small and less, what does the thin lens equation predict for the value of 1/f?
Please explain your answer properly, especially for the first question. Thank you

Answers

Answer:

1 / f = 1 / o + 1 / i

1 / image distance + 1 / object distance = 1  focal length

If the object distance is large the image will be at about the focal length

The value of 1 / f is fixed for any one particular lense

As the object distance decreases the image must increase

The above equation can also be written as

o i / (i + o) = f    or i / (i / o + 1)  = f

If for instance o was very large the image would be at the focal length

What is the oxidation number of oxygen in HNO3?

Answers

answer: minus 6

because since there are 3 atoms of oxygen and each atom has an oxidation number of minus two, the overall oxidation number is minus 6

a solid sphere, a solid cylinder, and a hollow cylinder are placed at the top of an inclined plane. if all are made of the same material and are released at the same time, which one will reach the bottom first? group of answer choices the solid cylinder. the sphere. the hollow cylinder.

Answers

The solid sphere will reach the bottom of the inclined plane first. The reason for this is that the sphere has the smallest surface area to volume ratio which means that there is less friction acting on it as it rolls down the incline.

Which moves more quickly, a sphere or a cylinder?

Solid sphere moves more quickly than solid cylinder because it has a lower moment of inertia and more kinetic energy during translation. Comparable solid objects move more slowly than hollow ones.

Which reaches the bottom first, the cylinder or the sphere?

If a cylinder and a sphere have the same mass and radius, the cylinder will have a greater moment of inertia due to its greater mass at its edges. Because the sphere's moment of inertia is smaller, it will move faster and arrive at the bottom first.

What causes a hollow cylinder to roll more slowly?

The process by which potential energy (PE) is transformed into kinetic energy is the cause of the solid cylinder's faster descent than the hollow cylinder. Some of the PE is transformed to rotating kinetic energy (RKE), not simply linear kinetic energy, because the cylinder is rolling (LKE).

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A bullet is fired at an angle of 45°. Neglecting air resistance, what is the direction of acceleration during the flight of the bullet?
a) upward
b) downward
c) dependent on the initial velocity
d) at a 45 angle​

Answers

Answer:

b) downward. Correct choice

Explanation:

Projectile Motion

It's known as the type of motion that experiences an object that is projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.

The gravity manifests through the acceleration of gravity g whose value is \(9.8 m/s^2\) and points downward. The object will eventually fall to the ground at a time and speed which depends on the initial speed and launch angle.

When the bullet is fired regardless of the initial speed and angle, the only acceleration of the system is g, thus:

b) downward. Correct choice

The acceleration acts on the bullet will be the acceleration due to gravity that is g and has a downward direction.

What will be the direction of the acceleration of Bullet fired?

Since the bullet is fired at an angle of 45 so the bullet will travel in a projectile. So every point in time the acceleration due to gravity will act on the bullet.

After some point in time, the bullet will come to the surface of the earth as the energy in the bullet will reduce.

As we know that anything present on the earth is under the influence of the earth's gravity.

So the fired bullet will experience acceleration due to the gravity of the earth and the direction of the acceleration will always be downwards.

So the bullet will eventually fall to the ground at a time and speed which depends on the initial speed and launch angle.

Thus the acceleration acts on the bullet will be the acceleration due to gravity that is g and has a downward direction.

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When is the electric flux on a section of a closed surface positive?.

Answers

When the electric field pierces outward through the section.

can someone please answer this, ill give you brainliest and your getting 100 points.

can someone please answer this, ill give you brainliest and your getting 100 points.

Answers

Answer:

Explanation:

The answer is the layer right under the convection current, C and D. The heat is generated by radioactive decay of heavy elements in the Earth core.

What is the heat source for convection currents in layer E?

O A

O B✓

when earth crust erupts, it forms magma which settle down in the Asthenosphere resulting in heating effect in the mantle .

O C

O D

You exert a force of 100N on a rope that pulls a sled across a flat icy surface. The rope is oriented 30 degrees above the horizontal. The sled has a mass of 10kg and it is carrying a 30kg child. The sled starts at rest. You can assume friction is negligible.

You reach a hill and start going up, still applying a constant 100N force at 30 degrees from the slope. The sled is now moving at constant speed. What is the angle of the slope?

Answers

The angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°

Given that,

Force, F = 100 N

Mass, m = 10 + 30 = 40 kg

Angle at which the force is applied, θ = 30°

Resolving the force applied into its horizontal and vertical components,

cos θ = \(F_{x}\) / F

\(F_{x}\) = 100 * cos 30° = 100 * 0.866

\(F_{x}\) = 86.6 N

A force due to the weight of the cart is applied on the ground which is directly vertical downwards. But the slope is at an angle. So resolving this force into its horizontal and vertical components.

sin θ = \(w_{x}\) / w

w = m g

w = 40 * 9.8

w = 392 N

Given that the velocity when travelling up the slope is constant. So the acceleration is zero.

Σ \(F_{x}\) = m a = 0

\(F_{x}\) - \(w_{x}\) = 0

\(w_{x}\) = 86.6 N

θ = \(sin^{-1}\) ( 86.6 / 392 ) =  \(sin^{-1}\) ( 0.22 )

θ = 12.7°

Therefore, the angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°

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A constitutionalamendment isThe amendmentThe amendmentpassed byis approved byis added totwo-thirds ofthree-fourthsthe U.S.the House andof the states.Constitution.Senate.What was the process illustrated in the diagram designed to do? apex The given curve is rotated about the y-axis. Find the area of the resulting surface.y=1/4 x2 - 1/2 ln(x), 2lessthan/equal xlessthan/equal 3 How many scientists contributed to the creation of the microscope. What were each of their contributions? "The dram of evil doth all the noble substance often dout to his own scandal." A car travels up a hill at a constant speed of 35 km/h and returns down the hill at a constant speed of 69 km/h. Calculate the averagespeed for the round trip. Write a story about yourself as a hero. What did you do to become a hero? Tell your story. Atr least 180 words Example sentencePlease vote! Your opinions matter.What does matter mean in this sentence? A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer. 16. A horizontal pipe with a cross-section of 10 cm?which is joined to another horizontal pipe of 50 cm Cross-sectional area. The speed of water in the small pipe is 6 m/s and the pressure there is 200 kPa. The pressure in the large pipe, in Pa. is A. 183 B. 217000 C. 217 D. 235000 Trey measured the mass of some pebbles. What is the combined mass of the pebbles that are 4 1/2 grams more? an early prototype of what would become the c language was named ? group of answer choices sea (synchronous executing application) b c- see (software execution experiment) d fortran Carl earned grades of 62 78 59 and 89 on four math tests what is the mean if his grades melissa is in the middle of menopause and is plagued by hot flashes and other very unpleasant symptoms. what treatment might she use? calculate the gravitational field strength on the surface of mars. mars has a radius of 3.43x106 m and a mass of 6.37x1023 kg. tchaikovsky employed in the nutcracker, in which stereotypes are used to portray other cultures as mysterious or exciting. tchaikovsky employed in the nutcracker, in which stereotypes are used to portray other cultures as mysterious or exciting. serlialism exoticism nationalism stringendo 1.Why you choose this career? How do I calculate the capacity of a cylinder if it can be filled at a rate of 1500L per hour, when I have already found out its volume? A spring has an maximum displacement of 6m and a period of 8s. What is its position as a function of time? why might a journey to the city of jerusalem be more challenging to a catholic living in europe during the high middle ages in the Five Cs of Credit, analyzing the loan candidate's cash flow to determine whether it is sufficient to repay the loan is relerred to as ______