how does the electric force vary with distance

Answers

Answer 1
The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.

Related Questions

1. Is it reasonable to expect that anyone would be able to make good sense of a filing system such as this new one? Why or why not?

Answers

It reasonable to expect that anyone would be able to make good sense of a filing system as it reduces the overall storage space occupied by the records.

What is Filing?

This is the process of keeping document safely and being able to easily retrieve them.

The new filing system is based on their volume which is why the space is reduced thereby reducing the ambiguity.

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A motor has coils with a resistance of 10.0 ohms and is supplied by a voltage of V = 1.20 x 102 V. When the motor is running at its maximum speed, the back emf is 70.0 V. Find the current in the coils (a) when the motor is first turned on and (b) when the motor has reached its maximum rotation rate.

Answers

Hi there!

a)
When the motor is first turned on, the coils are initially stationary. Thus, there is no change in magnetic flux and, consequently, no induced emf.

Therefore:
[tex]iR = \epsilon - \epsilon_{back}[/tex]

Since there's no back emf:
[tex]iR = \epsilon[/tex]

Solving for i using Ohm's Law:
[tex]i = \frac{\epsilon}{R}\\\\i = \frac{120}{10} = \boxed{12.0 A}[/tex]

b)

We are given that at max speed, the back EMF is 70.0 V.

Using the same equation as above:
[tex]iR = \epsilon - \epsilon_{back}[/tex]

Plugging in the values:
[tex]10i = 120 - 70 \\\\10i = 50 \\\\[/tex]

Solving for current:
[tex]i = \frac{50}{10} = \boxed{ 5.0 A}[/tex]

How much time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is 0°C?

Answers

The time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is 0°C is 4.85 sec.

What is velocity?

Velocity is largely a vector quantity. It is the fee of alternate distance. The speed of an item transferring can by no means be negative. The pace of a transferring item may be zero.

The velocity of sound waves at zero degrees Celsius is 1087 ft/sec.

Velocity = Distance/Time

Time= Distance/Velocity

The distance to be traveled by sound is 5280 ft

The velocity of sound is 1087 ft/sec

Time = 5280 ft/ 1087 ft/sec

Time = 4.85 sec.

The time required by sound to travel 1 mile at zero degrees Celsius is 4.85 sec.

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A big rock falls from a height towards water below, and hits water at a speed of 12 m/s. Rock was at a height of 15 m before falling and weighs 65 kg.

a) What was the average force of air resistance (e.g., friction) acting on the rock?
b) What is the force of friction underwater if the rock reaches a depth of 2.5 m before stopping and there is a buoyant force of 650 N [upward] acting on the rock once underwater.

Answers

The frictional force of air resistance is; 949N while the force of friction underwater is; 1859N.

What is the Frictional force of air resistance?

The frictional force on the action rock can be evaluated as follows;

F - W = ma

However, the acceleration of fall a can be evaluated as follows;

a = (12² -0²)/2× 15

a = 144/30 = 4.8m/s².

a) Hence, the air resistance, frictional force, F = (65×9.8) + (65 ×4.8)

F = 949N.

b) When reaches a depth of 2.5m, it follows that the acceleration is;

a = (0²-12²)/(2×2.5)

a = 144/5 = 28.8m/.

On this note, the force balance is;

F + 650 = 65(9.8 + 28.8)

F = 2509 - 650

F = 1859N.

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The electric field in a region points to the northeast. What is the direction of the acceleration of an electron
placed in this region? Consider only the electric force.

northeast
None of the other answers are correct.
northwest
southwest
southeast

Answers

Answer:

Southwest. The electric force on this electron would point southwest (opposite to the direction of the electric field.)

Explanation:

Consider a position in an electric field. A positive point charge placed at that position would experience an electric force from this field. By definition, the direction of this field at that position would be the same as the direction of electric force that the field exerts on the positive point charge placed at that position.

It is given that the electric field in this question points to the northeast in this region. Thus, a positive point charge placed in this region would experience an electric force in the same direction- to the northeast.

Electrons are negatively charged. The direction of electric force on an electron would be opposite to that on a positive point charge placed at the same position. The electric force on a positive point charge in this region points to the northeast (same as the direction of the electric field). The opposite of northeast is southwest. Hence, the electric force on an electron at this position would point to the southwest.

An emf source with a magnitude of E = 120.0 V, a resistor with a resistance of R = 89.0 Ω, and a capacitor with a capacitance of C = 6.00 μF are connected in series. A) As the capacitor charges, when the current in the resistor is 0.950 A , what is the magnitude of the charge on each plate of the capacitor?

Answers

For an emf source with a magnitude of E = 120.0 V, is mathematically given as

Q=136.63uC

What is the magnitude of the charge on each plate of the capacitor?

Parameters

E = 120.0 VR = 89.0 ΩC = 6.00 μF

Generally, the equation for voltage on the resistor is mathematically given as

Vr=IR

Therefore

Vr=71*0.95

Vr=67.45V

voltage on capacitor

Vc=120-67.45

Vc=52.55V

In conclusion,

Q=CVc

Therefore

Q=52.55*2.60

Q=136.63uC

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Two people are dragging a canoe on a beach using light ropes. Person 1 applies a
force of 60.0N [Forward] and person 2 applies a force of 90.0N [Forward]. The
friction exerted by the beach on the canoe is 85.0N. Determine the net force of the
canoe.
a) 50.0 N [forward]
Ob) 6.50 N [backward]
c) 6.50 N [forward]
d) 65.0 N [forward]

Answers

The net force on the canoe is obtained as 65.0 N [forward]

What is the frictional force?

The frictional force is the force that opposes motion. We know that the net force is the actual force that moves the canoe in a given direction.

Hence, the total force acting in the forward direction = 60.0N + 90.0N = 150 N and the total backwards force =  85.0N

Net force =  150 N - 85.0N = 65.0 N [forward]

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A voltmeter of 600ohms resistance reads 200v when connected across a battery of 3ohms internal resistance. Calculate the emf of the battery

Answers

The emf of the battery will be 2.955 V. The rate of change of magnetic flux linked with the coil is responsible for generating emf.

What is induced voltage?

Electromagnetic induction is what causes the induced voltage. Electromagnetic induction generates emf (induced voltage) by subjecting a conductor to a magnetic field.

Given data;

Voltage,v = 200 v

Resistance, r=600 ohms

Internal resistance,R = 3 ohms

The EMF of the battery is found as follows;

E = {vR}/{R+r}

E = 200×3/(3 + 200)

E = 2.955 V

Hence, the emf of the battery will be 2.955 V.

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Question 4
Newton's first law of motion is also known as the law of inertia. Which of the following BEST
describes inertia?
Inertia depends on an objects mass and velocity
Objects at rest stay at rest until an outside force acts on them
An unbalanced force causes an object to move
An object's tendency to resist change in motion

Answers

Answer:

It is the tendency

of an object to resist any change in its state of motion .

Explanation:

if I am right mark my answer as brainliest

the density of gas is 1.775kg/m^3 at 27 degree celcius and pressure of 10^-5n/m^2. if the specific heat capacity at constant pressure is 846 jkg^-1k^-1 calculate the ratio of specific heat capacity at constant pressure to tht constant volume​

Answers

Answer:

76.52

Explanation:

the density of gas is 1.775kg/m^3 at 27 degree celcius and pressure of 10^-5n/m^2. if the specific heat capacity at constant pressure is 846 jkg^-1k^-1, the ratio of specific heat capacity at constant pressure to tht constant volume​ is 76.52

what is density?

Density is  the mass of a unit volume of a material substance. The formula for density is represented by d = M/V, where d is density, M is mass, and V is volume.

It is commonly represented in units of grams per cubic centimeter. Density can also be expressed as kilograms per cubic meter .

Density can used to define how different materials interact when mixed together. For example Wood floats in water because it has a lower density, while an anchor sinks because the metal has a higher density.

density can be applied in pipe design, shipbuilding, helium balloons, weight distribution in the aeroplane, and the fact that ice floats on water.

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A section of a high speed test track is circular with a radius of curvature R = 1860 m.

At what angle of θ should the track be inclined so that a car traveling at 61.0 m/s (136 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero)

Answers

From the calculation, the banking angle is obtained as 11.5°.

What is the banking angle?

The banking angle refers to the angle at which the vehicle must be inclined so that it does not skid off the road.

Now we have;

θ = ?

v =  61.0 m/s

r = 1860 m

g = 9.8 m/s^2

θ = tan-1(61^2/ 1860 * 9.8)

θ = tan-1(3721)/18228

θ = 11.5°

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Animals change their feature according to their environment​

Answers

Some animals adapt to the effects of climate change in their environment by relocating to a cooler location, changing their biological nature to better withstand the heat, or changing the timing of specific activity to match with seasonal changes.

.

An aircraft, initially stationary on a runway, takes off with a speed of 85 km h¹ in a distance of no
more than 1.20 km.
What is the minimum constant acceleration necessary for the aircraft?
A 0.23ms-²
B 0.46ms ²
C 3.0ms ²
D 6.0m

Answers

Answer:

A. 0.23 ms⁻²

Explanation:

Using the equation:

v² = u² + 2as

where:

v = final velocity (85 kmh⁻¹  =  85 x 0.278 = 23.6 ms⁻¹)

u = initial velocity (0 ms⁻¹)

a = acceleration (? ms⁻²)

s = displacement (1.20 km  =  1.2 x 1000  =  1200 m),

[tex](23.6)^2 = (0)^2 + 2 (a) (1200)[/tex]

⇒ [tex]a = \frac{23.6^2}{2(1200)}[/tex]

a = 0.23 ms⁻²

Which includes the definition of both Behaviorism and Psychoanalysis approaches?

Answers

Behaviorism approach centers on giving absolute prominence to the outside characters of individuals

What is Psychoanalysis approaches?

Psychoanalysis approach centers on fact the fact that the unconscious has the potential to drive our behavior

Interestingly, the behaviorists and psychoanalysts share some common norms and values in such away that

Their both ideas are deterministicThey both recognize that experience is the key to the future behavior

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Discuss how oxygen is used in spacecraft in at least 2 paragraphs.

Answers

Oxygen is used in spacecraft by the persons for respiration.

Why do spaceships need oxygen?

Rocket engines carry oxygen gas for combustion because combustion need oxygen. Rockets carry an  liquid oxygen up to space with them as a fuel.

Astronauts sealed in a spacecraft that need a continuous supply of oxygen for respiration. Without this oxygen, no person can survive in the spacecraft.

So we can conclude that oxygen is used in spacecraft by the persons for respiration.

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Oxygen is required in spacecrafts for the following:

Oxygen is mixed with fuel to power the engines,Oxygen is used in pressurized spacesuits for breathing.

What is the importance of oxygen in spacecraft?

Spacecraft refers to vehicles which are used to travel to space.

In space, their is little or no oxygen. Thus oxygen is used in the following ways:

Oxygen is mixed with fuel to power the engines,Oxygen is used in pressurized spacesuits for breathing.

In conclusion, oxygen is important for combustion of fuel of the spacecraft engines as well as for breathing by the astronauts.

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(15 Points)
1. Two builders carry a sheet of drywall up a ramp.
Assume that W = 1.80 m, L = 3.30 m, θ = 24.0°, and that the lead builder carries a (vertical) weight of 147.0 N (33.0 lb). What is the (vertical) weight carried by the builder at the rear? (First Figure)
2. The builder at the rear gets tired and suggest that the drywall should be held by its narrow side. What is the weight (in N) he must now carry? (Second Figure)

Answers

The vertical weight carried by the builder at the rear end is F = 308.1 N

Calculations and Parameters

Given that:

The weight is carried up along the plane in rotational equilibrium condition

The torque equilibrium condition can be used to solve

We can note that the torque due to the force of the rear person about the position of the front person = Torque due to the weight of the block about the position of the front person

This would lead to:

F(W*cosθ) = mgsinθ(L/2) + mgcosθ(W/2)

F(1cos20)= 197/2(3.10sin20 + 2 cos 20)

Fcos20= 289.55

F= 308.1N

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A boat moves through the water with two forces acting on it. One is a 1,800-N forward push by the water on the propeller, and the other is a 1,200-N resistive force due to the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.25
m/s 2

(b) If it starts from rest, how far will the boat move in 20.0 s?
m

(c) What will its velocity be at the end of that time?
m/s

Answers

(a)The acceleration of the 1,400-kg boat will be 0.425 m/sec²

(b) If it starts from rest, the distance through which the boat moves in 20.0 s will be 85 m.

(c)Velocity at the end of that time will be 8.5 m/sec.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

Given data;

Forwad force acting on the boat,v₁ = 1,800-N

Resistive force acting on the boat,v₂ = 1,200-N

The acceleration of the boat,a

Mass of boat,m = 1,400-kg

Initial velocity of boat,u= 0 m/sec

Distance travelled by boat,S = ?

Time for the boat travels,t = 20.0 s

Final velocity,V = ? m/sec

The net force on the boat;

F = F₁ - F₂

F = 1800 N - 1200 N

F = 600 N

From the defination of force;

F= ma

a = F / m

a = 600 N / 1400 kg

a = 0.425 m/sec²

b)

The distance through which the boat moves is 20.0 s;

[tex]\rm x_f = x_ 0 + v_0 t + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}at^2 \\\\ x_f = 0+0 + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}\times 0.425 \times (20 )^ 2 \\\\ x_f = 85 \ m[/tex]

c)

The velocity at the end of that time is found as;

[tex]\rm v_f = v_ 0 + at \\\\ v_f =- 0+ at \\\\ v_f = 8.5[/tex] m/sec

Hence the acceleration of the boat, the distance through which the boat moves in 20.0 s, and velocity at the end of that time will be 0.425 m/sec²,85 m, and 8.5 m/sec.

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Assuming barber wants to setup a saloon in a measuring length of 3m by 3m. He has a simple wooden chairs,3 large mirror and one bulb. Using the knowledge of shadows and reflection, advice the barber on how to arrange a good saloon using the only item he has. Without adding more source of light, how can he enhance the lighting system in his saloon?​

Answers

The best way to arrange the salon to best use what he has is:

Place the bulb in the middle of the wallDirectly face the chair and mirror in front of the bulb for proper lighting and reflectionPlace the chairs side by side of each otherEach mirror should be facing each chai

What is Reflection?

This refers to the change in direction of a wavefront between two different media so that the wavefront returns to its originating medium.

Hence, we can see that from our knowledge of shadows and reflection, we can note that mirrors reflect and light helps to bring detail in a dark area and the chairs should be facing the mirrors directly so the customer can see his hair and how it is being cut by the barber.

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A water wave has a frequency of 6 Hz and a wavelength of 3 m. (a) What is the period of these waves? (b) What is the wave velocity?

Answers

The period or time duration of these waves is 0.16 sec. While the wave velocity is 18m/sec.

What is Wavelength?

Wavelength may be defined as the space between equivalent points in the contiguous cycles of a waveform signal propagated in the area or along a wire.

The time duration of these waves is calculated by the given formula:

T = [tex]\frac{1}{F}[/tex] = [tex]\frac{1}{6}[/tex] = 0.16 seconds.

The velocity is calculated by the given formula:

V= Wavelength × Frequency = 6Hz × 3m = 18m/sec.

Therefore, it is well described above.

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Hydroelectric plants are used to produce electricity. Electric generators are used in such plants that are linked to water-wheels. As these water-wheels rotate, electricity is generated. Which of the following best explains the relationship between energy and motion in the process described

Answers

Hydroelectric plants are used to produce electricity is the statement that best explains the relationship between energy and motion.

Explains the relationship between energy and motion in the process?

There is direct relationship between energy and motion in the process because if we increase the motion of the turbines, more electricity is produced in the generator and vice versa.

So we can conclude that the relationship between energy and motion in the process is directly proportional to each other.

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What is the mass of mars

Answers

Answer:

6.39 × 10^23 kg

.........

A crane lifts up two boxes. A picture of a crane with a cable hanging down labeled Rope 1, which is attached to a box labeled A. Box A is attached to a cable labeled Rope 2, which is attached to a box labeled B. Which free body diagram shows the forces acting on block A? A free body diagram with two force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline. A free body diagram with three force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline, and the third pointing downward labeled F Subscript g B. A free body diagram with three force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline, and the third pointing downward labeled F Subscript T 2. A free body diagram with three force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline, and the third pointing upward labeled F Subscript T 2.

Answers

The free body diagram showing the forces acting on block A is diagram 3; option C.

What are free body diagrams?

Free body diagrams are simple diagrams which are used to illustrate the magnitude and direction of the forces acting on the body.

The diagram of the crane and boxes as well as the free body diagrams are shown in the attached image.

Three forces are acting on A as follows:

The force of gravity acting downward, represented by [tex]F_{gA}[/tex]The tension in the rope 1, pulling block A upwards, represented by [tex]F_{T1}[/tex]The tension in the rope 2, due to the weight of block B, pulling block A downwards, represented by [tex]F_{T2}[/tex]

Therefore, diagram 3 is correct.

In conclusion, free body diagram shows the forces acting on a body as well as their direction of action.

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Answer:

I think C is the correct answer

Explanation:

What are significant figures?

Answers

Answer:

The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.

Hope its helpful!

Answer:

The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.

Explanation:

a jet of water of cross section area and velocity v impinges normally on a stationary flat plate the mass per unit volume of water ρ
by dimensional analysis determine and expression for the force f exerted by the jet against the plate.​

Answers

F = kAρv²

Explained in the attachment !

Hope it helps you!!

A housefly with a mass of 0.00100 kilograms zooms through the room at a rate of 2.20 m/s. How much kinetic energy does it have?

0.00110 J
0.00220 J
0.00242 J
The height of the fly above the ground must be known to answer this question.

Answers

Considering the definition of kinetic energy, the housefly has a kinetic energy of 0.00242 J.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and in a rest position, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its rest state by applying a force to it.

The kinetic energy is represented by the following expression:

Ec= ½ mv²

Where:

Ec is the kinetic energy, which is measured in Joules (J).m is the mass measured in kilograms (kg).v is the speed measured in meters over seconds (m/s).Kinetic energy of a housefly

In this case, you know:

m= 0.00100 kgv= 2.2 m/s

Replacing in the definition of kinetic energy:

Ec= ½ ×0.00100 kg× (2.20 m/s)²

Solving:

Ec= 0.00242 J

Finally, the housefly has a kinetic energy of 0.00242 J.

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When a mass of m = 29 kg is hung from the middle of a fixed straight aluminum wire, the wire sags to make an angle of 12∘ with the horizontal as shown in (Figure 1) . The elastic modulus for aluminum is 7.0×1010N/m2. Determine the radius of the wire

Answers

The solution to the given question is that the radius of the wire will be 0.378 millimetre approximately

At equilibrium,

Lets assume Tension T in the wire

mass of the block is given as 29 Kg

T sin 12° + T sin 12° = mg  

T sin 12° + T sin 12° = 29 × 9.8

2T sin 12° = 29 × 9.8

T = ( 29 × 9.8 )/2 sin 12°

T = 141.1 / sin 12°

T = 141.1 / 0.2

T = 705.5 Newton

Stress = K × Strain

where K is the elastic modulus of the metal

elastic modulus is given as 7.0 × 10¹⁰ N/m²

T/A = 7.0 × 10¹⁰ × (Δl/l)

A = T × (l/Δl) × (1/ (7.0 × 10¹⁰) )

A = π r² = T / ( (7.0 × 10¹⁰) × ( (1/cos 12°) - 1) )

π r² =  705.5 / ( (7.0 × 10¹⁰) × 0.02234 )

r = √( 705.5 / ( π × (7.0 × 10¹⁰) × 0.02234  ) ) metre

r = √( 705.5 / ( 4910.33 × 10⁶   ) ) metre

r = √( 0.1436 × 10⁻⁶ ) metre

r = ( 0.378 × 10⁻³ ) metre

r = 0.378 millimetre

Thus we have find the radius of the wire by applying stress strain relation which came out to be 0.378 millimetre.

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By what percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent? Braking distance is the distance a car travels from the point when the brakes are applied to when the car comes to a complete stop. (Hint: the answer is not 10.3 percent)

Answers

The percent of the braking distance is mathematically given as

P=91.5128%

What percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent?

Generally, the equation for is  mathematically given as

V^2=U^2+2as

Therefore

V^2=u^2+2(-a)s

[tex]s=\frac{u^2}{-2a}[/tex]

Hence.

u'=u-u×0.103

u'=0.206u

v^2=u^2+2as

0=(0.206)^2+2(-a)s'

Hence

[tex]s'=\frac{0.042436u^2}{a}[/tex]

In conclusion,The reduction percentage is

[tex]P=\frac{s-s'}{s}*100\\\\P=\frac{(\frac{u^2}{-2a})-(\frac{0.042436u^2}{a} )}{ \frac{u^}{-2a}}*100\\\\P=\frac{(0.5-0.042436 )}{ 0.5}*100[/tex]

P=91.5128%

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calculate the pressure of water in a will if the deep of the water is 10 m​

Answers

Answer:

98,000 pa

Explanation:

The formula for water pressure is as follows:

[tex]pressure = pgh[/tex]

Where p is the density of water (in kg/m3), g is the gravitational field strength, and h is the height of the water.

The density of water is 1000kg/m3, the gravitational field strength is 9.8, and the height is 10. Substituting in these values:

[tex]pressure = 1000 \times 9.8 \times 10[/tex]

[tex]pressure = 98000[/tex]

what role do supernovae explosions play in galactic recycling?

Answers

Explanation:

Supernovae play a fundamental role in a great cosmic recycling program. We believe that almost all of the elements in the Universe that are heavier than hydrogen and helium are created either in the centres of stars during their lifetimes or in the supernova explosions that mark the demise of larger stars.

Which graph describes the motion of a car that moves at constant speed, stops for some time and then moves again at a slower speed?

a. A

b. B

c. C

d. D​

Answers

B as all of the others keep increasing whereas that decreases, showing the car going slower
Other Questions
Clarice, a voracious reader, enjoys reading books on her electronic tablet. What is a potential problem that can occur as a function of an abundance of reading and using computers i don't know this problem someone help please Based on the descriptive details in the passage, what inferences can be made about the setting? select 3 options. it is a work environment. it is daytime. the room holds several people. the room is cold. the room was recently built. Why does Doodle begin to cry? Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with a radius of 25 cm. (picture attached) use grass method4. A block of unknown substance is submerged in water. A light ray in the water strikes the angle of 16, what is the index of refraction of the unknown substance? (nwater = 1.33) substance at an angle of 45 from the normal. If the refracted ray in the substance is at an 5. If a light ray passes from a substance with low index of refraction to another substance with high index of refraction, will the ray bend away from or closer to the normal? Why? 6. What is the angle of refraction? n=1 24 n = 1.8 How are you going to do this with online readings? please, write me a descriptive explanation on how you will be taking notes/ annotating online readings. Point O is the centroid of triangle ABC, BY = 3.3, CY= 3, Find BO. which visual aids can you use to describe the increase in the amount of money spent by americans on health care since 1985. A box measures 1/2 ft. long 1/2 ft. wide, and 1 ft. high. Find the volume ininches. Do not include units in your answer. find x and y ! pls help giving 50 points !! What is the ratio of the two values and what new value do they produce?$280 in 7m (Write Explaination) dans dog walking job pays $15 per hour. his job as a car-wash attendant pays $400 each week. dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. which three inequalities can model this situation? select all the correct answers. x(15+400)>520 520120 15x+520>400 520520 Which is the graph of f(x) = x? solve: 7(2)^x=224( help pls ) _____ is a strategic-management tool that helps an organization take stock of its internal characteristics and assess the external environmental conditions. Rewrite the expression with a rational exponent as a radical expression.(3 2/3)1/6 Find the best fit line for the scatter plot. What is the next number in the following series of numbers? 1, 4, 8, 13, 19, ___ Informational texts inform people about things, explains topics, or give some kind of directions to people.True or False?