How much work must be done to stop a car with a mass of 1500kg moving at 12m s?

Answers

Answer 1

The amount of work done in stopping a car with a mass of 1500 kg moving at 12m/s is 108000 j.

Work done is same as the change in kinetic energy of the moving car.

We will first calculate the initial kinetic energy of the car

Kinetic energy is due to motion and is equal to half the product of mass and square of velocity.

K.E. = 1/2× mass× [tex](velocity)^{2}[/tex]

Initial K.E. = 1/2 × 1500× 12×12

               = 108000 j

As the car finally stops, the final kinetic energy is zero.

Final K.E. = 0

So, work done = change in K.E. = 108000-0 j

= 108000j

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Related Questions

an intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of t. the spaceship enters a geosynchronous orbit at a distance of r.

Answers

The spaceship enters a geosynchronous orbit is M = 4π 2 R 3 /GT 2 M = 1.35 × 10²⁸ kg.

A geostationary orbit is a low-inclination prograde orbit around the Earth lasting 23 hours 56 minutes and 4 seconds. A spacecraft in a geostationary orbit appears to move north and south but appears to stay at a fixed longitude on Earth. A geostationary orbit is a geostationary orbit.

A geostationary satellite orbit is an orbit around the Earth that intentionally has an orbital period of one sidereal day equal to the Earth's sidereal rotation period, with the satellite returning to the same position in the sky after each sidereal day. Geostationary means that the satellite orbits with the same angular velocity as the earth.

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unlike signal transduction in many other sensory receptors, signal transduction in rods

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Photoreceptors, in contrast to most sensory receptor cells, have a hyperpolarization response to stimulation and a depolarization response to inhibition. This indicates that when the cell is not activated, glutamate is constantly released; but, when the cell is triggered, release ceases.

What occurs when light impinges on a rod?

As I previously stated, if a light ray strikes rhodopsin as it enters the eye and strikes a rod, it will really start a phototransduction cascade that causes the rod to fire an action potential. In a cone, the identical procedure takes place.

Cones and rods provide visual signals to bipolar cells, which send them on to ganglion cells. The retina itself is where a significant portion of visual information processing takes place.

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Displacement vectors of 4 km south, 2 km north, 5 km south, and 5 km north combine to a total displacement of: ________

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The total displacement of the vectors is 2 km south.

Distance is the total path that an object in motion has traveled. Displacement is a verb that denotes the movement or displacement of an object.

Here, the vector moves 4 km towards the south, then moves 2 km north. The vector again moves 5 km south and moves 5 km north. Draw the diagram, mentioning the  4 km south movement by the black arrow, the 2 km north movement by the blue arrow, the 5 km south movement by the orange arrow, and the 5km north movement by the green arrow.

Also, mark the starting and ending points. These points give the displacement of the diagram. From the diagram, we can tell, the displacement is 2 km south of the starting point.

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an anchor rope to anchor a ship to the pier is wrapped 2 full times around a support on the ship. a deck hand can keep the rope from slipping by applying a force of 100 n to the free end. what is the coefficient of friction between the rope and the support?

Answers

The coefficient of friction = 0.34 between the rope and the support.

This type of question can be solved using Capstan's equation,

Capstan's equation is generally used to calculate the friction of the coefficients or the yarns. Represented as-

[tex]T_{1} = T_{0}e^{u}[/tex].

Now according to the term coefficient of friction, we calculate the friction between any two surfaces. It is also referred to as the ratio of the resistive force to the normal force.

The Capstain's equation is given by-

[tex]T_{load} = T_{hold} e^{uo}[/tex]

u is given as μ and o denotes Φ

the load = 7000

hold support is 100N

Φ = 2[tex]\pi[/tex] for the whole rotation

Since the rope is wrapped 2 times = 4[tex]\pi[/tex]

7000 = 100[tex]e^{u4\pi }[/tex]

log on both sides

⇒ u = log 7000/ 100*4[tex]\pi[/tex]

⇒ u = 0.338

Therefore, the coefficient of friction between rope and support = 0.34

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A 6. 0-m wire with a mass of 50 g, is under tension. A transverse wave, for which the frequency is 810 hz, the wavelength is 0. 40 m, and the amplitude is 4. 0 mm, is propagating on the wire. The time for a crest of this wave to travel the length of the wire is closest to.

Answers

The time for the crest of a wave having a frequency of 810 hz, a wavelength of 0.40 m, and an amplitude of 4.0 mm to travel to the closest length of wire is 19 ms.

Wavelength

Wavelength is the distance between one wave frequency peak and another peak. Therefore, the wavelength of frequency is the distance that a wave must travel in one period. This wavelength is denoted by the symbol λ (lambda) with units of m (meters).

the equation between wavelength, speed and frequency is:

λ = v/f

We have,

Wavelength = 0.4 m  ⇒ λ

Frequency = 810 hz ⇒ f

Distance = 6.0 m

And, the velocity:

v = λ x f

= (0.4) (810)

= 324 m/s

So, the time for a crest of this wave to travel the length of the wire is closest to:

time = distance/velocity

= 6/324

= 0.0185 s = 19 ms.

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an object is located midway between the focal point and the center of a concave spherical mirror. draw a ray diagram to locate its image. is the image real or virtual, erect or inverted, magnified or reduced in size?

Answers

At the concave mirror's center of curvature, something is situated. The picture is accurate and reversed.

For a concave mirror, the object-image connection is given by,

1 ÷ s + 1 ÷ s' = 2 ÷ R

the object distance, where s

The picture distance is s'.

The radius of curvature is R.

Now, the distance between an item and the point of curvature equals the radius of curvature.

s = R

Using s = R as a substitute and solving for s'

s' = [tex]((\frac{2}{R} ) - (\frac{1}{s} ))^{-1}[/tex]

s' = [tex]((\frac{2}{R} ) - (\frac{1}{R}))^{-1}[/tex]

s' = [tex]{(\frac{1}{R})}^{-1}[/tex]

s' = R

As a result, the photograph is real and can be found at R.

We discovered that the picture is genuine and is not at infinity.

Sideways magnification is

m = y' ÷ y = -s' ÷ s

where y is the height of the item.

The picture height is y'.

calculating the magnification

m = -s' ÷ s

= -R ÷ R

m = -1

As a result, the image size doesn't change.

We discover that neither the image's size nor its size has been changed.

calculating the picture height now

y' = my

y' = -y

Consequently, the picture is reversed.

The picture is not upright, as we discover.

The only accurate response to the query utilizing the outcomes is that the image is Real.

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Avanti works in a bookstore. She has four books and is going to place them in two stacks. The diagram above shows the books before they touch. Use the information in the diagram to answer the question.

How did the temperatures of the four books compare before they touched? How will the temperatures of the two top books compare after the books have been touching for a while, and why?

Answers

Answer:

Below

Explanation:

Black books were cooler in temp than yellow books to start

   after a while they will all be the same temp

      Stack 1 will be cooler(around 4)  than stack 2 (around 5)

Questions
Q1.
A teacher takes a group of students on to a sports field to measure the speed of sound in air.
The teacher fires a starting pistol.
It produces a loud bang and a flash of light at the same time.
The students take measurements.
Describe how the measurements are made and used to determine the speed of sound in air.

Answers

Answer:

Below

Explanation:

Measure distance to pistol .....

  speed of light is nearly instantaneous in this situation (short distance)

     measure time from flash to hearing the sound

        speed of sound =  distance to pistol / time to hear

which electromagnetic radiation wavelength is efficiently observed using ground based telescopes?

Answers

Radio is the electromagnetic radiation wavelength that is efficiently observed using ground-based telescopes.

Most telescopes under $150 have poor optical quality and aren't worth much. Instead, I recommend getting good binoculars. Stay away from telescopes advertised as having high magnification. The most important feature of a telescope is its size and the diameter of the primary mirror or lens. With a diameter of 4 or 5 inches.

The telescope is ideal for viewing solar system objects such as planets, moons, and moons of Jupiter. There are three main types of astronomical telescopes. Refractor telescope, Newton telescope, and Schmidt-Cassegrain telescope. It can damage not only your eyes but also your telescope lens.

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There is strong evidence that Europa, a satellite of Jupiter, has a liquid ocean beneath its icy surface. Many scientists think we should land a vehicle there to search for life. Before launching it, we would want to test such a lander under the gravity conditions at the surface of Europa. One way to do this is to put the lander at the end of a rotating arm in an orbiting earth satellite. If the arm is 4.25 m long and pivots about one end, at what angular speed (in rpm) should it spin so that the acceleration of the lander is the same as the acceleration due to gravity at the surface of Europa? The mass of Europa is 4.80 x 10^{22} kg and its diameter is 3120 km.

Answers

The angular speed of the lander at the end of the rotating arm is 4.98 rpm.

It is given to us that -

The radius of the rotating arm = 4.25 m

Mass of the Europa = [tex]4.80 * 10^{22}[/tex] kg

Diameter of the Europa = 3120 km

=> Radius of the Europa = 3120/2 = 1560 km = 1,560,000 m

We have to find out the angular speed (in rpm) at which the rotating arm should spin so that the acceleration of the lander is the same as the acceleration due to gravity at the surface of Europa.

Firstly, we have to find out the acceleration due to gravity of the Europa. We know that the force on the Europa can be given as -

[tex]F = Mg\\= > Mg = \frac{G*m*M}{R^{2} } \\= > g = \frac{G*m}{R^{2}}\\= > g = \frac{(6.67 * 10^{-11} )*(4.80*10^{22} )}{1560000^{2} } \\= > g = 1.19 m/s^{2}[/tex] ----- (1)

It is given to us that -

Acceleration of the lander = Acceleration due to gravity at the Europa

[tex]= > a_{l} = g\\= > a_{l} = 1.19 m/s^{2}[/tex] ----- (2)    [From equation (1)]

Now, to calculate the angular speed of the lander, we can use the formula as -

[tex]= > a_{l} = w^{2} r\\= > w^{2} = \frac{a_{l} }{r} \\[/tex] ----- (3)

where,

[tex]a_{l}[/tex] = Acceleration of the lander

[tex]w[/tex] = angular speed of the lander

r = radius of the rotating arm

Substituting the values of [tex]a_{l}[/tex] from equation (2) and r in equation (3), we have -

[tex]w^{2} = \frac{a_{l} }{r}\\= > w^{2} = \frac{1.19 }{4.25}\\= > w^{2} = 0.28\\= > w = 0.529 rad/s[/tex]

In order to convert the angular speed in rpm, we have to use -

[tex]w = 0.529 rad/s\\= > w = 0.529 * \frac{1 rev * 60 s}{2\pi rad*1 min}\\ = > w = 4.98 rpm[/tex]

Therefore, the angular speed of the lander at the end of the rotating arm is 4.98 rpm.

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an electron and a 0.0320-kg bullet each have a velocity of magnitude 510 m/s, accurate to within 0.0100%. within what lower limit could we determine the position of each object along the direction of the velocity?electron mmbullet m

Answers

for this we apply, Heisenberg's uncertainty principle.

it states that physical variables like position and momentum, can never simultaneously know both variables at the same moment.

the formula is,

Δp * Δx = h/4π

m(e).Δv * Δx = h/4π

by rearranging,

Δx = h / 4π * m(e).Δv

Δx = (6.63*10^-34) / 4 * 3.142 * 9.11*10^-31 * 5.10*10^-2

Δx = 6.63*10^-34 / 583.9 X 10 ⁻³¹

Δx = 0.011 X 10⁻³

for the bullet

Δx = (6.63*10^-34) / 4 * 3.142 * 0.032*10^-31 * 5.10*10^-2

Δx = 6.63*10^-34 /2.05

Δx =3.23 X 10⁻³² m

therefore, we can say that the lower limits are   0.011 X 10⁻³  m for the electron and  3.23 X 10⁻³² m   for the bullet

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a container in the form of a right circular cone (vertex down) has radius 4 m and height 16 m. see the figure. if water is poured into the container at the constant rate of 16 m3/min, how fast is the water level rising when the water is 8 m deep?

Answers

A container in the form of a right circular cone when the water is 8 m deep, the water level is rising at approximately 1.273 m/min.

The volume of a cone is:

V(h) = (1/3) × π × r² × h

V(h) = (1/3) × (4²) × h

V(h) = (16/3) × π × h

The rate at which the volume is changing with respect to time is:

dV/dt = 16 m³/min

dV/dt = (d/dt) [(16/3) × π × h]

dV/dt = (16/3 × π × (dh/dt)

(16/3 × π × (dh/dt) = 16

dh/dt = (16/3π)

dh/dt = 1.273 m/min

Therefore, when the water is 8 m deep, the water level is rising at approximately 1.273 m/min.

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The complete question is:

A container in the form of a right circular cone (vertex down) has a radius of 4m and a height of 16 m. If water is poured into the container at the constant rate of 16 m³/min, how fast is the water level rising when the water is 8 m deep? (Hint: the volume V of a cone or radius r and height h is V = 1/3πr²h.)

a simple pendulum consisting of a bob of mass m attached to a string of length l swings with a period t.

Answers

Due to their mutual free fall, the pendulum as well as the position to which it is linked will no longer oscillate.

What are the uses of a pendulum?

Pendulum a body that is hanged from a fixed location and moves back and forth as a result of gravity. Pendulums are employed to control clock movement because the period the amount of time between each full oscillation is constant.

Briefing:

We will utilize the concept of the duration in a basic pendulum to tackle this issue, which cautions that it depends on the length and gravity of the pendulum:

T = 2π√(L/g)

Here,

L = Length

g = Acceleration due to gravity

T = √(L/g)

Since 2π is a constant, we can deduce that its proportionality towards the square root of the its lengths over its gravity is 2.

g→ 0 ⇒ T→∞

The object is in continuous free fall, or in a situation where gravity is typically zero.

The period's value will eventually approach infinity. As a result of the pendulum's attachment point also being in free fall, it means that the pendulum would no longer oscillate.

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a galaxy with thin spiral arms and a small spherical central bulge would be a type

Answers

A type bulge would be a galaxy with small, spherical central bulge and thin spiral arms.

What is bulge?

The majority of spiral galaxies are made up of a bulge, or core collection of stars, and a flat, revolving disk filled with stars, gas, and dust. The spiral features that radiate from the galactic disc's core and give spiral galaxies their name. A spiral galaxy's nucleus is a sharply peaking, smooth-textured region that can be fairly small or even make up the majority of the galaxy in some circumstances. a relates to a large central bulge and wide central arms, whereas corresponds to a small central bulge with sharp spiral arms. Large spiral galaxies like the Andromeda galaxy and our own galaxy are common.

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Why is kinetic energy called the energy of motion?

Answers

Kinetic energy refers to a part of internal energy where immobility refers to potential and movement occurs with velocity as KE=mv²/2.

Kinetic energy depends on the velocity of an object and is the ability of a moving object to act on other objects when colliding with them. On the other hand, the kinetic energy of an object represents the amount of energy required to increase the velocity of the object from rest (v = 0) to its terminal velocity. Kinetic energy is a numerical measure of the inertia of an object and is also linearly related to mass, a measure of the object's resistance to acceleration when a force is applied.For a body of revolution, the moment of inertia I corresponds to mass and the angular velocity (ω) corresponds to linear or translational velocity. Therefore, the kinetic energy of rotation is equal to half the product of the moment of inertia and the square of the angular velocity.The total kinetic energy of an object or system equals the sum of the kinetic energies resulting from all kinds of motion.

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communications satellites would fly off in a straight line never to be see again if it were not for a force from the earth compelling them to constantly change their direction. this tendency to fly off in a straight line is a statement of the

Answers

Communications satellites would fly off in a straight line never to be see again if it were not for a force from the earth, The moon "falls" from a straight line because there IS some attraction toward the Earth.

What would happen if forces were suddenly removed from the satellite?

The satellite will tend to move tangential to the initial orbit without the assistance of centripetal force at the same speed as it did just before the gravitational field vanishes. As a result, the spacecraft will veer off course and leave its orbit.

Do people gravitate toward one another?

The combined gravitational force of acts on the mass in your body. What gives you weight is that. Additionally, you would weigh less than you do now if you were on a planet with a lower mass than Earth. You make the same gravitational force on Earth that it does on you.

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"A sound of frequency 15Hz and an amplitude of 70dB is inaudible." Explain with reasons if this statement is true or false.

Answers

A sound of frequency 15Hz and an amplitude of 70dB is inaudible. This is true statement.

What is audible sound?

The human ear can easily hear frequencies between 20 Hz and 20 kHz. Therefore, sound waves with a frequency between 20 Hz and 20 kHz are regarded as audible sound. The human ear may be able to pick up on even the smallest changes in air pressure if they are in the audible frequency range. The difference in air pressure is less than one billionth of a percent.

As we age and are exposed to sound for extended periods of time, the upper limit of our hearing frequencies decreases. A typical middle-aged adult can hear well up to 12 to 14 kilohertz, which is the highest frequency.

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a crate is supported by two ropes. one rope makes an angle of with the horizontal and has a tension of lb on it. the other rope is horizontal. find the weight of the crate and the tension in the horizontal rope.

Answers

A crate is supported by two ropes. one rope makes an angle of with the horizontal and has a tension of lb on it. the other rope is horizontal. Weight of the crate m kg and the tension is T in the horizontal rope.

The pulling force conveyed axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other related three-dimensional object is known as tension in physics. The action-reaction pair of forces acting at the ends of the aforementioned elements is another way to define tension. Perhaps tension is the polar opposite of compression. A restoring force may cause what is also referred to as tension when atoms or molecules are torn apart from one another at the atomic level and build up potential energy. Each end of a string or rod may pull on the object it is attached to in an effort to alleviate the tension while it is under such pressure. To measure tension as a transmitted force, an action-reaction pair of forces, or a restoring force, the International System of Units (SI) utilizes newtons (or pounds-force in Imperial units).

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When the spring is stretched and the distanced from point A to point B is 5.2 feet, what is the valuue of 0 to the nearest tenth of a degree?

Answers

(A) The distance from point A to point B to the nearest tenth of a foot will be 3.4 ft.

(B)  The value of 0 to the nearest tenth of a degree will be 54.8°

SOH, CAH, and TOA are the trigonometry ratios that need to be solved in order to find necessary measures or angles in a right triangle.

A) Reference angle  = 28 degrees

Distance  A-B = ?

Adjacent = 3 ft

We will calculate the distance between A-B by using the trigonometry function, CAH, that is:

   Cos ∅ = adj ÷ hyp

   Cos 28° = 3 ÷ A-B

   A-B = 3 ÷ Cos 28°

  A-B = 3.4 ft

B) Reference angle  = ?

Distance  A-B = 5.2 ft

Adjacent = 3 ft

We will calculate the distance between A-B by using the trigonometry function, CAH, that is:

   Cos ∅ = adj ÷ hyp

Put the values

   Cos ∅ = 3 ÷ 5.2

   ∅ = Cos⁻¹ (3 ÷ 5.2)

   ∅ = 54.8°

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an object is released from a stationary hot balloon at height h above the ground. an identical object is released at height h above the ground from another balloon that us rising at constant speed. air resistance is negligible. what does not increase for the object released from the rising balloon?

Answers

Whether the object is released from the stationary hot balloon or moving hot balloon, its acceleration is neither increased nor decreased because acceleration due to gravity "g" is constant or has a constant value.

When an object is released from the stationary hot balloon at a height h above the ground and an identical object is released at heigh h above the ground from another balloon that is rising at a constant speed, there is no difference in its acceleration compared to the previous one. This is because the acceleration due to gravity, denoted as 'g' is constant at the value of 9.8 m/s.

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since the observer does not interact with the subject in observation studies, observation is an error-free method of data collection question 2 options:

Answers

Ans is false. There are several errors associated with observation: subjectivity, observer bias, accuracy, and interpretation.

How to find error free method of data collection?

Observational error (or measurement error) is the difference between a measured value of and its true value.

The errors associated with data collection, mentioned above can be defined as follows:

1. Subjectivity bias : the tendency of participant in a study to react, either consciously or unconsciously. Here they act experimentally and not naturally.

2. Observation bias : the tendency of observers to not see what is there, but instead to see what they expect or want to see.

3) Accuracy : the condition or quality of being true, correct, or exact; freedom from error or defect; precision or exactness; correctness.

4) interpretation: can be defined as understanding of something. One can avoid it by using multiple sources of information, such as references and personal interviews,

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When an object's momentum changes, usually that means its velocity has charged. What must happer fo
an object's velocity to change?
a. Its mass increases
b. An outside force acts upon it
c. Its mass decreases
d. Its momentum must stay the same

Answers

Answer:

b. An outside force acts upon it

Explanation:

b

According to the Newton’s 1st Law, an object will keep resting or keep moving at the constant velocity unless some force acts upon it

Which theory states that the universe originated as a single mass?

Answers

Answer:

The Big Bang Theory

Explanation:

Today, the consensus among scientists, astronomers and cosmologists is that the Universe as we know it was created in a massive explosion that not only created the majority of matter, but the physical laws that govern our ever-expanding cosmos. This is known as The Big Bang Theory.


9. The Matt Schaub drops back 10 yards to throw a pass. He throws the pass 10 yards
of the to Daniels who gets tackled right there. What is the total displacement of the football?

Answers

The total displacement of the football is 20 yards.

What is displacement?

Displacement is defined as the change in position of an object.

Displacement is a vector quantity and has a direction and magnitude.

The calculate the total displacement of the football, we will determine the change in the position of the ball as shown below.

Δx = xf - xi

where;

xf is the final position of the footballxi is the initial position of the football

Δx = ( 10 yards + 10 yards )  -  ( 0 yards )

Δx = 20 yards

Thus, the total displacement of the ball is a function of initial and final position of the ball.

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Which of the following is(are) true of globular clusters?
A. They are smaller groups of stars orbiting larger galaxies.
B. The stars in them are all of roughly the same age.
C. Both a and b are correct.

Answers

Answer:

B

Explanation:

the others don’t seem right

B the stars in them are all of roughly the same age

a star has a distance of 30 parsecs and a apparent magnitude of 3 --what would its absolute magnitude be?

Answers

The absolute magnitude of the star would be +5.

The absolute magnitude of the star is dependent on the apparent magnitude and distance which is measured in parsecs.

A measurement of distance in astronomy that is approximately 3.26 light years (3.086 x 10^13 km) long. The distance at which the mean radius of the earth's orbit subtends an angle of one second of arc is equal to one parsec.

A measure of a celestial object's luminance on an inverse logarithmic astronomical magnitude scale is called absolute magnitude (M). The absolute magnitude of an object is the apparent magnitude that the object would have if it were seen from a distance of exactly 10 parsecs (32.6 light-years), without the light of the object being extinguished (or dimmed) owing to absorption by interstellar materials and cosmic dust. The luminosities of the various objects can be directly compared to one another on a magnitude scale by putting them all hypothetically at a fixed reference distance from the observer.

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The chemical formula for carbonic acid, a compound used in carbonated drinks, is H2CO3. Assume that these symbols represent the three elements of this compound:

Three atoms, grey represents carbon, red represents oxygen and white represents hydrogen

Which picture correctly represents carbonic acid?

A.
Molecule structure has five atoms connected in a straight line using single bond in order of white atom, red atom, grey atom, red atom and white atom. The grey atom in center is connected to a red atom in double bond
B.
Molecule structure has five atoms connected in a straight line using single bond in order of Red atom, white atom, grey atom, white atom and red atom. The grey atom is connected to a white atom in double bond
C.
Molecule structure has five atoms connected in a straight line using single bond in order of Red atom, white atom, grey atom, white atom and red atom. The grey atom is connected to a white atom in double bond
D.
Molecule structure has five atoms connected in a straight line using single bond in order of Red atom, grey atom, white atom, grey atom and red atom. The white atom in center is connected to grey atom in double bond

Answers

The picture that correctly represents carbonic acid is:

A molecule structure has five atoms connected in a straight line using a single bond in order of white atom, red atom, grey atom, red atom, and white atom. The grey atom in the center is connected to a red atom in a double bond.

The correct option is A.

What is the structure of carbonic acid?

Carbonic acid is a weak acid that is used in carbonated drinks.

The molecular formula for carbonic acid is H₂CO₃.

The formula shows that a molecule of carbonic acid is composed of two atoms of hydrogen, one atom of carbon, and three atoms of oxygen.

Like other acids, it reacts with bases to form salt and water. In addition, carbon dioxide is produced when carbonic acid reacts with bases.

The structure of carbonic acid shows that a single atom of carbon is linked to three atoms of oxygen. One of the bonds of carbon with an oxygen atom is a double bond while the other two are single bonds. The oxygen atoms that are bonded to carbon by means of single bonds are then bonded to one hydrogen atom each.

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What is potential energy of a spring if the spring is constant?

Answers

It is the potential energy stored in spring when it is stretched or deformed. It is equal to force multiplied by displacement. This energy is stored in the spring by virtue of its position. It is the work done to stretch the spring.

When spring is stretched, it undergoes displacement. It comes to its equilibrium position when force is removed. So, it exerts an equal and opposite force When it is stretched. Work is done by this force that is stored in the form of potential energy.

Since potential energy = force × displacement

and, force = spring constant × displacement

So, potential energy = spring constant × [tex](displacement)^{2}[/tex]

P.E. = k ×[tex]x^{2}[/tex]

Where,

k = spring constant

x = displacement caused due to stretching

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if the magnitude of the magnetic field is now decreased at a rate of -0.16 t/s , what force (magnitude and direction) will act on q ?

Answers

The magnitude of the force acting on q will be 0.16 t/s times the magnitude of the charge q, and it will be in the opposite direction of the magnetic field.

The force on a charged particle in a magnetic field is given by the equation:

F = qv × B

where q is the charge of the particle, v is the velocity of the particle and B is the magnitude of the magnetic field.

When the magnitude of the magnetic field is decreased at a rate of -0.16 t/s, the force on the particle will be in the opposite direction of the decreasing magnetic field. This is because the magnitude of the magnetic field will be decreasing over time, so the force on the particle will be in the opposite direction of the decreasing magnetic field.

The magnitude of the force acting on the particle will be equal to the product of the charge of the particle and the velocity of the particle multiplied by the rate of change of the magnetic field. That is, the magnitude of the force will be:

F = qv × (-0.16 t/s)

The direction of the force will be in the opposite direction of the decreasing magnetic field.

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primary producers are present in every biome, including the deep sea. how can primary producers exist in the deep sea when sunlight does not penetrate to these depths?

Answers

Primary producers can exist in the deep sea when sunlight does not penetrate to these depths because primary producers in the deep sea use energy from chemical reactions to drive the reduction of carbon dioxide to organic compounds.

In the field of biology, primary producers can be described as organisms that can make their own food by reducing carbon dioxide in the presence of sunlight.

However, there are primary producers present in the deep sea that do not require sunlight for the production of food or organic compounds. This is because the primary producers that are present in the deep sea have the ability to derive energy from chemical reactions that will reduce carbon dioxide to produce organic compounds from it. These organic compounds can be used as a source of energy.

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