A force of 6.7 N acts on a 30 kg body initially at rest. Compute the work done by the force in (a) the first, (b) the second, and (c) the third seconds and (d) the instantaneous power due to the force at the end of the third second.

Answers

Answer 1

Answer:

(a) 0.748 J

(b) 2.245 J

(c) 3.74 J

(d) 4.482 W

Explanation:

(a) Work done  W = Force × distance

W = F×d,

Where d = 1/2(at²)

Therefore,

W =1/2(F×at²)................ Equation 1

Where a = acceleration, t = time.

But,

a = F/m...................... Equation 2

Where m = mass.

Substitute equation 1 into equation 2

W = 1/2(F²t²/m)................. Equation 3

Given: F = 6.7 N, t = 1 s, m = 30 kg

Substitute into equation 3

W₁ = 1/2(6.7²×1²/30)

W = 0.748 J.

(b) Similarly,

The work done in the second seconds is

Where t₂ = 2 s

W₂ = 1/2(F²t₂²/m)- W₁

W = 1/2(6.7²×2²/30)-0.748

W = 2.245 J

(c) The work done in the third seconds is

Where t₃ = 3 s

W₃ = 1/2(F²t₃²/m)-(W₂+W₃)

W = 1/2(6.7²×3²/30)-(2.993)

W = 3.74 J.

(d) P = Fv ............... Equation 4

Where v = velocity.

and,

v = at..................... Equation 5

Substitute equation 5 into equation 4

P = Fat................... Equation 6

Given: F = 6.7 N, a = 6.7/30 = 0.223 m/s², t = 3 s

Substitute into equation 6

P = 6.7×0.223×3

P = 4.482 W.


Related Questions

50 j of work was performed in 20 seconds. How much power was used to preform this task

Answers

Answer:

Power = 2.5 [W]

Explanation:

To be able to solve this problem we must remember that power is defined as the relationship of the work done in a given time interval.

[tex]P=W/t[/tex]

where:

P = power [W] (units of watts)

W = work = 50 [J]

t = time = 20 [s]

Now replacing:

[tex]P=50/20\\P=2.5[W][/tex]

Answer:

2.5

Explanation:

Which heat related illness requires immediate medical attention

Answers

Answer:

Heat stroke

Explanation:

Heat Stroke is the most serious heat-related illness and requires immediate medical attention.

Answer:

Heat Stroke is the most serious heat-related illness and requires immediate medical attention. Symptoms include: confusion, fainting, seizures, very high body temperature and hot, dry skin or profuse sweating. CALL 911 if a coworker shows signs of heat stroke.

Explanation:

I HOPE THIS HELPS * pls mark me brainliest }

Why was Cassini launched toward Venus if it is going to explore Saturn?

The gravity of Venus will boost the speed of the space probe

The orbit of Venus is between Earth and Saturn

Venus is needed to reflect the radio signals to the probe​

Answers

Answer: A. The gravity of Venus will boost the speed of the space probe

Explanation: Hope this helped in time (:

Various radial points on a rotating Ferris wheel have: I. different linear velocities II. different angular velocities III. equal linear velocities IV. equal angular velocities

Answers

Answer:

I) True,  II) False,  III) False,  IV) True    

Explanation:

In this exercise, it is asked to answer different statements, for this we will use the relationship between angular and linear velocity

           v = w r

let's review the claims

I) True. From the initial equation we see that the linear velocity depends on the radius

II) False. All points rotate with the same angular velocity

III) False. Linear velocity changes with radius

IV) True. The angular velocity of all points is the same

At various radial points on a rotating Ferris wheel have, different linear velocity (True), different angular velocity (false), equal linear velocity (false) and equal angular velocity (True).

The angular velocity of a rotating Ferris is calculated as follows;

[tex]\omega = \frac{v}{r} = 2\pi N[/tex]

The linear velocity of a rotating Ferris is calculated as follows;

v = ωr

where;

v is the linear velocityr is the radius of the Ferrisω is the angular velocity

The linear velocity increases with increase in radius.

Thus, we can conclude that, at various radial points on a rotating Ferris wheel have;

different linear velocitiesconstant angular velocity

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What are similarities between homogeneous mixture and
heterogeneous mixture

Answers

Answer:

they both are the mixture of substance

Answer:

a homogeneous mixture is a uniform mixture whose components appear to be in a single state while a heterogeneous mixture is non uniform mixture whose components remain separate

Explanation:

example of homogeneous_ water and ethanol

heterogeneous_ water and chalk

The kinetic energy of an object of mass 3.5 kg is 112 J. Its speed is?
64 m/s
8.0 m/s
5.67 m/s
6.8 m/s

Answers

5.67 is the correct answer




That’s the correct answer on edg

What are two ways electromagnetic waves are used in a home computer scanner?

A.
An image is produced when a silicon chip releases electrons by the photoelectric effect.

B.
Visible light is reflected off an object and then captured by a charge-coupled device.
C.
X-rays shine on objects, and the rays either pass through or are absorbed by the objects.
D.
Red light shines on a black-and-white object, and light is reflected according to the pattern of black and white.

Answers

Two ways electromagnetic waves are used in a home computer scanner are:

An image is produced when a silicon chip releases electrons by the photoelectric effect.Visible light is reflected off an object and then captured by a charge-coupled device.What is  electromagnetic wave?

In terms of science, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel over space while carrying electromagnetic radiant energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum.

Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light in a vacuum.

Hence, option (A) and (B) are correct.

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What happens to the molecules of a substance when it changes phase?

Answers

Energy is required to change the phase of a substance, such as the energy to break the bonds between molecules in a block of ice so it may melt. During a phase change energy my be added or subtracted from a system, but the temperature will not change.

When it comes to phase shifts or phase change the greater the intermolecular interactions are the closer the molecules are to one another.

What is phase change?A phase change occurs when matter transitions from one state to another (solid, liquid, gas, plasma). When enough energy is provided to the system (or when a significant quantity is removed), as well as when the pressure on the system is adjusted, these changes occur.Any two phases of matter can undergo phase transitions.All phase shifts are accompanied by an energy shift.Isothermal phase shifts occur in all cases.Temperature changes can cause substances to change phase often. Most substances are solid at low temperatures; as the temperature rises, they become liquid; and at even higher temperatures, they become gaseous.

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The greenhouse effect is

Answers

The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere. Radiatively active gases in a planet's atmosphere radiate energy in all directions

The period of a pendulum is directly proportional to the mass of the bob.

true or false.

Answers

Answer:

false

Explanation:

i just took the test <3

The period of a pendulum is not directly proportional to the mass of the bob. The period of pendulum is independent of the mass of the bob. Thus, the given statement is false.

What is the period of pendulum?

A simple pendulum is the one which consists of a small metal ball called as the bob or a mass which is suspended from a fixed point by a long piece of thread such that the bob is free to swing back and forth from its mean position under the influence of the gravity.

The time period of a simple pendulum is the time taken by it to complete one oscillation. The formula for the time period or period (T) of a simple pendulum is T = 2π (√L/g), where L is the length of the pendulum thread and g is the acceleration due to gravity.

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You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to gravity is 3.71 meters per second per second. The pressure at the surface of the water will be 150 KPa , and the depth of the water will be 14.4 m . The pressure of the air in the building outside the tank will be 88.0 KPa .
Find the net downward force on the tank's flat bottom, of area 2.15 m2 , exerted by the water and air inside the tank and the air outside the tank.

Answers

Answer: F = 6262.2 kN

Explanation: Pressure is defined as force per area. But pressure varies according to the depth of a fluid: in air, it decreases the higher the altitude, while in water, it increases the deeper you go.

So, at the bottom of the tank, besides the pressure of air inside the tank and air outside the tank, there is pressure of water due to its depth.

Pressure due to the depth is calculated as

                                    [tex]P=h.\rho.g[/tex]

h is the depth in m

ρ is density of the fluid, in this case is water, so ρ = 997 kg/m³

g is acceleration due to gravity, which, in this case, is 3.71 m/s²

Then, pressure at the bottom of the tank due to variation in depth is

[tex]P=14.4(997)(3.71)[/tex]

P = 53263.73 Pa or 53.26 kPa

Assuming positive referential is downward, all pressures at the bottom point down, so total or resultant pressure is:

[tex]P_{r}=P_{1}+P_{2}+P_{3}[/tex]

[tex]P_{r}=150+88+53.26[/tex]

[tex]P_{r}=[/tex] 291.26 kPa

At last, pressure is force per area:

[tex]P=\frac{F}{A}[/tex]

[tex]F=P.A[/tex]

[tex]F_{r}=P_{r}.A[/tex]

[tex]F_{r}=291.26.10^{3}(2.15)[/tex]

[tex]F_{r}=[/tex] 626209 N or 626.2 kN

At the cylindrical tank's flat bottom, net force has magnitude 626.2 kN.

What may result when the energy that builds up at plate boundaries is released because the plates suddenly overcome the force of friction?


volcano


hot spot


earthquake


trench

Answers

It has to be Earthquake
What may result when the energy that builds up at plate boundaries is released because the plates suddenly overcome the force of friction?


earthquake


Which is an example of current electricity?

Answers

Examples are, starting a car, turning on a light, cooking on an electric stove, watching tv, shaving with an electric razor, playing video games, using a phone, and charging a cell phone, i found this information on www.electricityforum.com

For each of the situations described below, the object considered is undergoing some changes. Among the possible changes you should consider are:

(Q) The object is absorbing or giving off heat.
(T) The object's temperature is changing.
(E) The object's thermal energy is changing.
(W) The object is doing mechanical work or having work done on it.
(C) The objects chemical energy is changing.

For each of the two situations, identify which of the five changes is taking place, indicating the applicable letters Q T U W C (or none) as appropriate while providing your reasoning.

a. An ice cube sits in the open air and is melting.
b. A cylinder with a piston on top contains a compressed gas and is sitting on a thermal reservoir (a large iron block that can provide or take thermal energy as the system needs). After everything has come to thermal equilibrium, the piston is moved upward somewhat (very slowly). The object to be considered is the gas in the cylinder.

Answers

Answer: a. (Q), (T), (E)

              b. (Q), (T), (E), (W)

Explanation: Thermal Energy and Temperature are closely related: when the temperature rises causing atoms or molecules to move, thermal energy is produced. Thermal energy is the energy within the system.

Mechanical Work is the amount of energy transferred due to an applied force.

Chemical Energy is the energy contained in the bonds of chemical structures of the molecules released when a chemical reaction happens.

Given the explanations, let's analyse the situations:

a. For an ice cube to be melting, it has to be absorbing heat, which means its thermal energy is changing and, consequently, so does its temperature;

b. First, the gas inside the cylinder reaches a thermal equilibrium, which means its thermal energy and temperature changed. Since there were  exchange of heat to reach the equilibrium, the gas absorbed or gave off heat. After the equilibrium, when the piston starts to be moved, the energy of the pressure is transferred to the gas, so mechanical work had been done.

Estimate the weight of a 1000kg car that is accelerating at 3 m/s/s.

Answers

Answer:

W = 9800  N

Explanation:

Given that,

Mass of a car, m = 1000 kg

Acceleration of the car, a = 3 m/s²

We need to find the weight of the car. Weight of an object is given by the product of mass and acceleration due to gravity on the Earth.

W = mg

Put all the values,

W = 1000 kg × 9.8 m/s²

= 9800  N

So, the weight of the car is 9800  N.

A 2.00 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0300 m . The spring has force constant 815 N/m . The coefficient of kinetic friction between the floor and the block is μk=0.40. The block and spring are released from rest and the block slides along the floor.

Required:
What is the speed of the block when it has moved a distance of 0.0200 m from its initial position? (At this point the spring is compressed 0.0100 m.)

Answers

Answer:

v = 0.41 m/s

Explanation:

In this case, the change in the mechanical energy, is equal to the work done by the fricition force on the block.At any point, the total mechanical energy is the sum of the kinetic energy plus the elastic potential energy.So, we can write the following general equation, taking the initial and final values of the energies:

       [tex]\Delta K + \Delta U = W_{ffr} (1)[/tex]

Since the block and spring start at rest, the change in the kinetic energy is just the final kinetic energy value, Kf.⇒ Kf = 1/2*m*vf²  (2)The change in the potential energy, can be written as follows:

       [tex]\Delta U = U_{f} - U_{o} = \frac{1}{2} * k * (x_{f} ^{2} - x_{0} ^{2} ) (3)[/tex]

       where k = force constant = 815 N/m

       xf = final displacement of the block = 0.01 m (taking as x=0 the position

      for the spring at equilibrium)

      x₀ = initial displacement of  the block = 0.03 m

Regarding the work done by the force of friction, it can be written as follows:

       [tex]W_{ffr} = - \mu_{k}* F_{n} * \Delta x (4)[/tex]

       where μk = coefficient of kinettic friction, Fn = normal force, and Δx =

       horizontal displacement.

Since the surface is horizontal, and no acceleration is present in the vertical direction, the normal force must be equal and opposite to the force due to gravity, Fg:Fn = Fg= m*g (5)Replacing (5) in (4), and (3) and (4) in (1), and rearranging, we get:

        [tex]\frac{1}{2} * m* v^{2} = W_{ffr} - \Delta U = W_{ffr} - (U_{f} -U_{o}) (6)[/tex]

        [tex]\frac{1}{2} * m* v^{2} = (- \mu_{k}* m*g* \Delta x) -\frac{1}{2} * k * (x_{f} ^{2} - x_{0} ^{2} ) (7)[/tex]

Replacing by the values of m, k, g, xf and x₀, in (7) and solving for v, we finally get:

    [tex]\frac{1}{2} * 2.00 kg* v^{2} = (-0.4*2.00 kg*9.8m/s2*0.02m) +( (\frac{1}{2} *815 N/m)* (0.03m)^{2} - (0.01m)^{2}) = -0.1568 J + 0.326 J (8)[/tex]

[tex]v =\sqrt{(0.326-0.1568} = 0.41 m/s (9)[/tex]

1.
In the notation, 1s2, the number 1 represents the ________ __________ where electrons are located.
energy level
outer shell
2.
The four parts, or blocks, on the periodic table are _____, _____, d, and f.
s, p
a, b
3.
The 2 in 1s2 represents the number of __________ located in that energy level.
electrons
protons

Answers

Answer:

energy level

s,p

electrons

Explanation:

I already done this trust me

In the notation 1 s² number 1 represents energy levels where electrons are located.The 4 parts on periodic table are s,p,d and f blocks.The 2 in 1 s² represents number of electrons in energy level.

What is an energy level?

Electrons present in an atom revolve in different orbits which are stationary states and are also called as energy levels. The energy levels are numbered as integers which are also called as principal quantum numbers.

Energy of the stationary state is given as E= -R

1/n² where R

is the Rydberg's constant. When an electron is excited, and it moves from lower to higher energy levels there is absorption of energy, while when it moves from higher energy level to lower energy level it radiates or gives out energy in the form of radiation.

They can also be defined as the distances between electron and nucleus of an atom . Electrons present in K energy level have least energy .Energy level diagrams are studied to understand nature of bonding , placement of electrons in orbits and and elemental behavior under certain conditions.

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a car accelerate at 9 m/s squared. Assuming the car starts from rest how far will it travel in 10 seconds

Answers

Answer:

450m

Explanation:

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = 0 + t + \frac{1}{2} a {t}^{2} \\ \frac{1}{2 } \times 9 \times {10}^{2} = 450m[/tex]

Every experiment most control for variables that are not being tested that might also affect the dependent variable. True or false

Answers

Answer: Scientist use an experiment to look for cause and effect relationships in nature. They design an experiment so that changes to one Variable (any factor, trait or ... Independent Variable = what you are testing or what you are in control of or what ... A part of the experiment that is not being tested and is used for comparison

Explanation:

The winter solstice, the shortest day of the year in the Northern hemisphere, occurs when the Earth is in which position?

Answers

Answer:

A

Explanation:

Which property of a solid measures how resistant the material is to deformation?​

Answers

Answer: the answer would be b in k12

Explanation:

Which property of a solid measures how resistant the material is to deformation?

A. Elasticity

B. Hardness

C. Plasticity

D. resilience

Answers

Answer: the answer is a

Explanation:

Chirag, a champion weightlifter, raises 259 kg of weights a distance of 2.40 m. How much work is done by Brutus lifting the weights?

622 J
6090 J
2540 J
0 J

How much work is done by Chirag holding the weights above his head?
622 J
6090 J
2540 J
0 J

Answers

1.

6090 J

2.

622 J

I bet so~

The answers are
1.6090j
2.622j

a projectile is shot horizontally from the edge of a cliff, 230m above the ground. the projectile lands 300m from base of the cliff​

Answers

Answer:

The time taken by the projectile to hit the ground is 6.85 sec.

Explanation:

Given that,

Vertical height of cliff = 230 m

Distance = 300 m

Suppose, determine the time taken by the projectile to hit the ground.

We need to calculate the time

Using second equation of motion

[tex]s=ut+\dfrac{1}{2}gt^2[/tex]

Where, s = vertical height of cliff

u = initial vertical velocity

g = acceleration due to gravity

Put the value in the equation

[tex]230=0+\dfrac{1}{2}\times9.8\times t^2[/tex]

[tex]t=\sqrt{\dfrac{230\times2}{9.8}}[/tex]

[tex]t=6.85 sec[/tex]

Hence, The time taken by the projectile to hit the ground is 6.85 sec.

2 objects have a total momentum of 400kg m/s, they collide. Object A’s mass is5kg & object B’s mass is 11kg. After the collision Object B is moving at 15m/s.What is the velocity of Object A AFTER the collision?

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum .

Momentum before collision = momentum after collision .

Momentum before collision = 400 kg m/s

Momentum after collision = 5  x v + 11 x 15

where v is velocity of A after the collision .

5  x v + 11 x 15 = 400

5 v = 400 - 165

5v = 235

v = 47 m /s .

Define specific charge of an electron. Write its value.​

Answers

Answer:

The specific charge is defined as a charge by mass ratio i.e e/m. The charge on an electron (e) = 1.602 X 10-19C. The mass of the electron (m) = 9.1×10−31Kg.

can i eat air? im hungry

Answers

Answer:

Yes

Explanation:

what does correlation mean

Answers

a mutual relationship or connection between two or more things.

Two resistors, A and B, are connected in parallel across of a 6V battery. The current through B is found to be 2.0 A. When the two resistors are connected in series to the 6V battery, a voltmeter connected across the resistor A measures a voltage of 4V. Find the resistances of A and B.

Answers

Answer:

Resistance of A is [tex]6\ \Omega[/tex] and B is [tex]3\ \Omega[/tex]

Explanation:

The voltage across both the resistances will be the same as they are connected in parallel.

V = Voltage = 6 V

[tex]I_B=2\ \text{A}[/tex]

Resistance is given by

[tex]R_B=\dfrac{V}{I_B}\\\Rightarrow R_B=\dfrac{6}{2}\\\Rightarrow R_B=3\ \Omega[/tex]

[tex]V_B=V_b-V_A\\\Rightarrow V_B=6-4\\\Rightarrow V_B=2\ \text{V}[/tex]

Series connection

[tex]V_A=4\ \text{V}[/tex]

The current is constant in series connection

[tex]I=\dfrac{V_B}{R_B}\\\Rightarrow I=\dfrac{2}{3}\ \text{A}[/tex]

[tex]R_A=\dfrac{V_A}{I}\\\Rightarrow R_A=\dfrac{4}{\dfrac{2}{3}}\\\Rightarrow R_A=6\ \Omega[/tex]

The resistance of A is [tex]6\ \Omega[/tex] and B is [tex]3\ \Omega[/tex].

A car is traveling due north at 23.6 m>s. Find the velocity of the car after 7.10 s if its acceleration is (a) 1.30 m>s2 due north, or (b) 1.15 m>s2 due south.

Answers

Answer:

a) v = 32.8 m/s

b) v= 15.4 m/s

Explanation:

a)

Applying the definition of acceleration (assumed to be constant), we can write the following expression for the velocity v:

        [tex]v = v_{o} + a*t (1)[/tex]

        where v₀ is the initial velocity and a is the acceleration, being t the

       time elapsed.

In the case a) the acceleration and the velocity vectors have both the same direction (due north), so both have the same sign, which means that the car is speeding up.Replacing by the givens v₀ and t in (1), we get:

       [tex]v = 23.6 m/s + (1.30 m/s2 * 7.10 s) = 32. 8 m/s (2)[/tex]

b)  

In this case, the acceleration vector and the velocity vector have opposite directions, so the car slows down, due to both vectors have opposite signs.Replacing by the givens in (1) and taking into account the signs, we get:

       [tex]v = 23.6 m/s + ((-1.15 m/s2) * 7.10 s)) = 15. 4 m/s (3)[/tex]

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The number of protons in carbon (C) Why did who made cocomelon name it cocomelon and why are babies so addicted to it CAN SOMEONE PLEASE HELP ASAP What are resistors? A. magnets that are weakB. batteries that run radiosC. electrons that explodeD. materials that hold electrons HELP NEEDED ASAP!!! Early mixing systems had some severe limitations. Which of the following statements best describes one of thoselimitations:1. They could not fast forward.2. They could not edit.3. They could not play more than one track at a time.4. They could not play in reverse. 2. Identify Patterns What is the metaphor that Thoreau uses to describe civilized life in lines 49-54? Where else is a similar metaphor used in the text? PLEASE HELP!At a bus station, buses begin their routes at 6:00 AM. The schedule for 2 of the buses is based on the time intervals listed below:Bus A has a long route and leaves the station every 45 minutes.Bus B has a short route and leaves the station every 30 minutes.What is the next time that both Bus A and Bus B will leave the bus station at the same time?Group of answer choices7:00 AM7:30 AM7:15 AM8:30 AM Alonzo will rent a car for the weekend. He can choose one of two planes. The first plan has an initial fee of $38 and cost an additional $.12 per mile driven the second plan has an initial fee of $49 in cost an additional seven cents per mile driven. What amount of drive into the two plans cost the same? What is the cost when the two plans cost the same? It is your task to make sure they are corrected. Choose one of the newspaper headlines. You will rewrite the headline and a one-to-two-paragraph article to make the news scientifically correct. Be sure to include the following in your corrected newspaper article:New title reflecting correct informationDetailed information about the processes and tectonic plate interactions that are causing the geological event to occur. Include an explanation of convection currents.Real-world example of where to find the geological event on Earth (picture and location)Also review the grading rubric before you begin.Newspaper with headline of Shake, Rattle, and Roll: Giants Battling Zeus Create Catastrophic Earthquake. Image of an earthquake damage in a cityNewspaper with headline of Explosive Situation: Fire- Breathing Dragon Caught Inside Mountain Creates Volcanic Eruption. Image of a dragon breathing fireNewspaper with headline of Islands Popping Up Everywhere, Maui uses giant hook to pull islands from the ocean. Image of an island in the oceanNewspaper with headline of Ocean Expansion: Poseidon Pushes Tectonic Plates Apart, Creating an Ocean. Image of a wave in the ocean Solve the system using elimination:3x + 2y = 9x + y = 4 Which property of a solid measures how resistant the material is to deformation? A company makes 140 bags.21 of the bags have buttons but no zips. 25 of the bags have zips but no buttons. 45 of the bags have neither zips nor buttons. How many bags have zips on them? E(-2,-1), F(-1,1). G(2,0)E'(-5.-2.5). F'(-2.5,2.5), G' (5,0) help please what type of angle is this, and what is x? Evaluate the expression you got in part d for b = 8. What is the ratio of carbon, hydrogen, and oxygen in most carbohydrates?A. 1:1:1B. 1:2:1C. 1:2:3D. 2:1:1E. 2:2:1 which of the following might being a way to help the seahorse become less endangered why mole is called fundamental unit. It is not B. I will give brainliest to the first person to answer I need help, pls !!!