This is for ESS(Earth Space Science)

The combination of low oxygen levels in the ocean and low carbon dioxide in the atmosphere led to cooling temperatures and the Late Devonian extinction, 380 million years ago. Many ocean dwellers went extinct, including ⎽⎽⎽(blank)⎽⎽⎽⎽⎽. In contrast, ⎽⎽⎽⎽(blank)⎽⎽⎽⎽ fared best since they were transitioning from sea to land and could survive in both regions.
1. trilobites; tetrapods
2. tetrapods; armored fish
3. trilobites; armored fish
4. tetrapods; trilobites

Answers

Answer 1

The combination of low oxygen levels in the ocean and low carbon dioxide in the atmosphere led to cooling temperatures and the Late Devonian extinction, 380 million years ago. Many ocean dwellers went extinct, including trilobites. In contrast, tetrapods fared best since they were transitioning from sea to land and could survive in both regions.

The tetrapods are characteristized by the possession of muscles and skeleton which aids support and movement respectively.

What are tetrapods?

The tetrapods are referred to as vertebrates ( those animals with backbones) which have two pairs of limbs. That is, they have four different limbs

So therefore, The combination of low oxygen levels in the ocean and low carbon dioxide in the atmosphere led to cooling temperatures and the Late Devonian extinction, 380 million years ago. Many ocean dwellers went extinct, including trilobites. In contrast, tetrapods fared best since they were transitioning from sea to land and could survive in both regions.

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Related Questions

An experiment is set up in a lab. Three different
materials - copper, iron, and glass are all placed
with one end of each rod in a pan of hot water.
Each rod has an equivalent amount of wax on the
opposite end. After a few minutes, each of the
wax beads have melted at different times.

What is the dependent variable in the
experiment?


A.time
B.rate of convection
C.rate of radiation
D.rate of conduction

Answers

Answer:

B.rate of convection

Explanation:

If we connect the two flasks through a stopcock and we open the stopcock, what is the partial pressure of helium?

Answers

Partial pressure of helium =275.7 torr

Given data,

275 mL is the flask one volume.

Helium's pressure is 752 torr.

The second flask's volume is 475 mL.

722 torr is the argon pressure.

Partial pressure is equal to what?

As,

V2 is equal to 275 + 475 = 750 mL.

Using helium:

P₁V₁ = P₂V₂

P₂ = P₁V₁ /V₂

P₂ = 752 torr. 275 mL / 750 mL

P₂ = 206800 torr. mL /750 mL

P₂ = 275.7 torr

Therefore, Partial pressure of helium =275.7 torr

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Please somebody help me with this project! It's due tomorrow and I'm a bit stuck with it! I'd really appreciate it if anyone is willing to help.

Mass (kg) Volume (L) Density (Kg/L) Substance
Block A
Block B
Block C
Block D
Block E

Densities of Various Materials
Material Density (kg/L)
Wood - 0.40
Apple - 0.64
Plastic - 0.70
Ice - 0.92
Water - 1.00
Aluminum - 2.70
Diamond - 3.53
Lead - 11.3
Gold - 19.3

Questions:
1) Which block has the greatest density?
2) Which block has the lowest density?
3) Submit your data table and identify the substance each block is made of.


I tried to match them, not sure if they're correct:
Answer:
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L

Answers

Block d hehehehe I’m so smart

The "hang time" of a punt is measured to be 4.90 s .
If the ball was kicked at an angle of 69.0 ∘ above the horizontal and was caught at the same level from which it was kicked, what was its initial speed?

Answers

The initial speed of the ball will be 25.73 m/s.

What is speed?

Speed is described as the rate at which an object's position changes in any direction.

The distance traveled relative to the time it took to travel that distance is how fast something is moving. Speed is a scalar quantity because it just has a direction and no magnitude.

Speed=distance/time

According to the question :

Maximum height can be achieved in time t will be -

⇒1/2(4.90)

= 2.45 seconds

and, the time [tex]V_y[/tex]=0

So by considering the motion from that time on and since [tex]V_0y-gt\\[/tex]

[tex]V_0y[/tex]=9.81 m/[tex]s^{2}[/tex] (2.45 seconds)

⇒24.03 m/s

So,

[tex]V_0[/tex]= 24.03/sin [tex]69^{0}[/tex]

⇒25.73 m/s.

Hence, its initial speed was 25.7 m/s.

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4. In 1994, a human powered submarine was designed at Boca Raton, Florida. It
achieved a maximum speed of 3.06 m/s. Suppose this submarine starts from
rest and accelerates at 0.800 m/s² until it reaches maximum speed. i) How long
did it take and ii) what distance did it travel?

Answers

The correct answer is S = 28.802 m.

Unless driven to change its condition by an external force, a body stays in its state of rest or uniform motion along a straight line. According to the law, a force is a factor that has the power to alter an object's status. Newton uses the inertia of rest, the inertia of motion, and the inertia of direction to explain his first law of motion.

From Newtons 1st equation of motion

V = u+at

3.06 = 0+0.8[tex]t_1[/tex]

[tex]t_1[/tex] = 3.825 s

Submarine travels [tex]t_2[/tex]= 5s with const velocity

and then again [tex]t_2[/tex]=5s for slowing to strip during slow,

0 = 3.06 - a × 5

a = 0.612 m/[tex]s^2[/tex]

Total time =[tex]t_1 + t_2 + t_3[/tex]

T = 13.825 s

Now [tex]v^2= u^2[/tex]+2as

[tex]S_1[/tex]= (3.06[tex])^2[/tex]/2×0.8

[tex]S_1[/tex] = 5.852 m

[tex]S_2[/tex] = Ut

[tex]S_2[/tex] = 3.06 × 5

[tex]S_2[/tex] = 15.3 m

[tex]S_3[/tex] = 0 - (3.06[tex]) ^2[/tex]/-2 × 0.612

[tex]S_3[/tex] = 7.65 m

Total displacement

[tex]S = S_1+S_2+S_3[/tex]

S = 28.802 m

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An object is dropped from rest at a height of 127 m. find the distance it falls during its final second in the air.

Answers

The object will fall a distance during its final second in the air of: 81.967 m

The free fall formulas and the procedures we will use are:

t = √[ (2*h) / g]h = (g * t²)/2

Where:

t = time takenh = height traveledg = acceleration due to gravity

Information of the problem:

h = 127 mg = 9.8 m/s²t = ?h(final second)= ?

Applying the time formula we get:

t = √[ (2*h) / g]

t = √[ (2* 127 m) / 9.8 m/s²]

t = √[ 254 m / 9.8 m/s²]

t = √[ 25.918 s²]

t = 5.090 s

Calculating time traveled before the final second and we have:

t(final second) = t - 1 s

t(final second) = 5.090 s - 1 s

t(final second) = 4.090 s

Applying the height formula we get:

h = (g * t²)/2

h(final second) = (9.8 m/s² * (4.090 s)²)/2

h(final second)  = (9.8 m/s² * 16.7281 s²)/2

h(final second) = 163.935 m/2

h(final second) = 81.967 m

What is free fall?

It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.

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9 Jaycie wants to increase her upper body strength
by doing push-ups. She does one push-up by
applying a force of 10 N to raise her center of
gravity 2 m. How many push-ups must Jaycie
complete to do 200 J of work?
A. 5 push-ups

B. 10 push-ups

C. 15 push-ups

D. 20 push-ups

Please explain how the answer is correct, and how the rest of the answers are incorrect.

Thank you.

Answers

Jaycie must complete 10 pushups to do 200 J of work if a force of 10 N is required to raise her center of gravity by 2 m.

W = F * d

W = Work done

F = Force

d = Distance

F = 10 N

d = 2 m

W = 10 *2

W = 20 J

This is the amount of work done to complete one push up.

Number of push ups to be completed to do 200 J of work = 200 / 20

Number of push ups to be completed = 10

The amount of work done is a measure of force used to move an object to a certain distance. Its unit if Joules.

Therefore, Jaycie must complete 10 pushups to do 200 J of work

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9 one type of sunburn occurs on exposure to uv light of wavelength in the vicinity of 325 nm. (a) what is the energy of a photon of this wavelength? (b) what is the energy of a mole of these photons?

Answers

6.21 ×10⁻¹⁹ J  energy of a photon of this wavelength

374028.3 J the energy of a mole of these photons

Evaluation :

1) E =hc/λ

=  (6.626×10⁻³⁴×3×10⁸)/(320*10⁹)

= 6.21×10⁻¹⁹ J

2) Of 1 mole E = Avogadro no.*Energy of one photon

= 6.21×10⁻¹⁹×6.023×10²³

= 374028.3 J

3) n×(6.21×10⁻¹⁹) = (10⁻³)

Thus n = 1.61×10¹⁵

How does one find the energy of a photon?

The energy of a photon are often calculated in two ways: If the photon's frequency f is known, we will use the formula E = h f . Planck proposed this equation, which is why it's known as Planck's equation. If the photon's wavelength is understood , the photon's energy are often calculated using the formula E = h c λ

What is the charge of photon?

A photon may be a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons haven't any charge, no resting mass, and travel at the speed of sunshine

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Yuki is studying the diet of owls. While dissecting owl pellets, she takes detailed notes about the bones that she finds. She organizes the bones she finds into different types of animals. When she finishes, she creates a food web to show what she has learned. Which scientific skills did Yuki use?
Check all that are true.
A. classifying
B. observing
C. evaluating
D. making models

Answers

the answer to this is A. classifying.

Explain four things that atomic theory presently states 

Answers

Answer:

1. Atoms are the smallest units of matter.

2. Atoms are composed of protons, electrons, and neutrons.

3. The protons and neutrons are located in the nucleus, and the electrons orbit around the nucleus.

4. The properties of atoms are determined by the number of protons in the nucleus.

Explanation:

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Using the midpoint method, if the price falls from $100 to $50, the price elasticity of demand is

Answers

The absolute value of the price elasticity of demand is 0.46.

What is price elasticity of demand?

The price elasticity of demand is used to determine the quantity sought after for a good. When prices rise, demand declines for almost all products, but some products are more negatively impacted than others. When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in quantity required. A 1% increase in price results in a 2% decrease in demand when the elasticity is negative two. The effects of changes in other parameters on the needed quantity are evaluated by other elasticities (e.g. the income elasticity of demand for consumer income changes).

What does the microeconomic midpoint technique entail?

With the midpoint formula, percentage changes are calculated by dividing the change by the average, or halfway point, between the starting and final values. As a result, the outcome is the same regardless of the direction of the change.

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Question:

Price Quantity

250 0

200 30

150 70

100 110

50 150

0 190

Using the midpoint method, if the price falls from $100 to $50, the absolute value of the price elasticity of demand is

a. 0.31.

b. 0.46.

c. 1.25.

d. 2.17

A delivery drone drops a package into a customer's porch. if the package can withstand a maximum impact speed of 8.00 m/s, what's the maximum height from which the drone can drop the package?

Answers

3.27 m/s is the highest height the drone can drop the cargo from.

The greatest height is equal to V²/2g, where V stands for velocity and g for gravity, and where 9.8 m/s2 = 82/2(9.8) = 3.27 m/s.

A home run is baseball's best delight. Projectile motion, a typical sort of two-dimensional motion, is what the ball is doing as it curves toward the stands. If air resistance is assumed to be nonexistent, a decent description of such motion may frequently be given.

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7. A soccer ball rolls to a stop from a speed of 21 m/s with an acceleration of -2.0m/s. How far
does it roll until it stops?

Answers

The distance the ball rolls up to before it stops is 110.25m.

Newton’s third equation of motion can be used to determine the distance the ball rolls up to before it comes to a halt.

Given data:

Initial velocity of the ball, u = 21m/s

Final velocity of the ball, v = 0

Acceleration of the ball, a = -2m/s^2

To find:

Distance the ball rolls, S = ?

Formula:

v^2 = u^2 + 2aS

Calculation:

0 = 21^2 + 2 (-2) S

S = 441 / 4

S = 110.25m

Result:

The distance the ball rolls up to is 110.25m before it stops.

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Please help me with these few questions! I need them done soon. Only 3 questions.

Answer:
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L

1) Which block has the greatest density?

Block A
Block B
Block C
Block D
Block E

2) Which block has the lowest density?

Block A
Block B
Block C
Block D
Block E

3) Submit your data table and identify the substance each block is made of.

Answers

The block with the greatest density = Block A

The block with the lowest density = Block B

What is density?

The density of an object is the ratio of mass to volume of the object.

density = mass/volume

The given density of the object;

Density Block A =  19.3 Kg/LDensity Block B = 0.64 Kg/LDensity Block C =  0.70 Kg/LDensity Block D = 0.917 Kg/LDensity Block E = 3.53 Kg/L

Thus, we can conclude the following based on the density of the objects;

The block with the greatest density = Block A

The block with the lowest density = Block B

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Calculate the mass, in grams, of 172 atoms of potassium, k (1 mol of k has a mass of 39.10 g).

Answers

By Avogadro's number, the mass is 1.12 x 10¯²⁰ gram.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many atoms are in one mol. The Avogadro's number is

Na =  6,02 × 10²³ atoms / mol

From the question above, we know that

N = 172 atoms

Ar = 39.1

By using Avogadro's number, we can calculate the amount of potassium

N = Na . n

172 = 6,02 × 10²³ . n

n = 2.86 x 10¯²² mol

Find the mass

n = gr / Ar

2.86 x 10¯²² = gr / 39.1

gr = 1.12 x 10¯²⁰ gram

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On this position-time graph, what is the displacement between 5 s and 20 s

-50 m

-40 m

+40 m

+50 m

Answers

The displacement between 5 s and 20 s in the position-time grap is +40 m

What is displacement?

Displacement is defined as the distance travelled in a specific direction. It can be obtained mathematically as:

Displacement = Displacement 2 - Displcemrnt 1

With the above information, we can obtain the displacement. Details below.

From the question given above, we can obtain the displacement as follow:

Displacement 1 at 5 s = 10 mDisplacement 2 at 20 s= 50 mDisplacement =?

Displacement = Displacement 2 - Displcemrnt 1

Displacement = 50 - 10

Displacement = +40 m

Thus, the displacement is +40m

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Missing part:

See attached photo

Converting Units!! Help please show work thank you !!!!

Answers

Answer: 5. 9000 meters

6. 0.12626 miles

7. 26.78 meters

8. 1 mile per minute

9. 468 km per hour

Explanation:

5. 1000 m=1 km

9 km * 1000 m/1 km=

9 * 1000/1 = 9000 meters

6. 63360 inches = 1 mile

8000 inches * 1 mile/63360 inches=

8000/63360=0.12626 miles

7. 100 cm=1 m

2678 cm * 1 m/100 cm=

2678 * 1/100=

2678/100=26.78 meters

8. 60 minutes=1 hour

60 mph * 1 hour/60 minutes=

60 * 1/60=1 mile per minute

9. 1000 m=1 km

1 hour=60 minutes

1 minute=60 seconds

60 seconds * 60 minutes/1 hour=

60 * 60/1=3600 seconds

130 meters * 3600 seconds/1 second=

130 * 3600/1=468000 meters per hour

468000 m* 1 km/1000 m=

468000 * 1/1000=468 km per hour

Study the works of shannon and nyquist on channel capacity. each places an upper limit on the bit rate of a channel based on two different approaches. how are the two related?

Answers

in that scenario, the signaling rate is exclusively constrained by the channel bandwidth according to Nyquist's analysis of the theoretical capacity of a noiseless channel.

• What signaling rate can be accomplished over a channel with a certain bandwidth, a given signal power, and in the presence of noise was addressed by Shannon.

Channel without errors The temperature of a material is defined as the average kinetic energy of its atoms or molecules, plus any other energy that can be transferred. In theory, the lower limit of temperature would be when all particles have zero energy

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If a system does 37.0 kj of work on its surroundings and releases 105 kj of heat, what is the change in the internal energy of the system, in kj?

Answers

The change in the internal energy of the system in kilojoules is 142 kJ.

The internal energy of a system is defined as the sum of work done by a system or work done on a system and heat released by the system or heat gained by a system. Internal energy is represented by the symbol U. It is presented in units of kilojoules.

Work done by the system is W.

W = (-37) kJ

The heat released by the system is U.

U = (-105) kJ

The change in the internal energy of the system in kJ is,

Change in internal energy = Heat + Work done

∆ U = Q + W

∆ U = (-105) + (-37)

∆ U = 142 kJ

Therefore, the change in the internal energy of the system in kilojoules is 142 kJ.

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In an 8.00 km race, one runner runs at a steady 11.3 km/h and another runs at 14.3 km/h . How far from the finish line is the slower runner when the faster runner finishes the race?

Answers

Answer:

1.69 km away from the finish line.

Explanation:

velocity =distance/time

time= distance/velocity so 8km/14.3km per hour equal to 80/143 hr or 0.559 hrs for second runner to finish race

therefore 0.559 multiply by velocity to give distance of first runner when second runner finish race

0.559 times by 11.3= 6.32 km (3 significant figures)

8 km - 6.32km

= 1.69 km away from the finish line.

How many grams of ampicillin would you need to dissolve into 450 ml of water to make an ampicillin solution with a final concentration of 100 micrograms/ml?

Answers

45gram of ampicillin would be needed.

Calculation

Final concentration of ampicillin solution = 100mg/ml

It means that 1 ml of solution will have 100 mg ampicillin

So, 450 ml of solution will have = 450 * 100 = 45000 mg ampicillin

45000 mg = 45 gram

Hence, to make 450 ml of solution 45 gram of ampicillin would be needed.

How is 100 ug/mL ampicillin made?

Ampicillin: at a final concentration of 100ug/ml, add 1 ml of ampicillin (at a concentration of 100 mg/ml) per liter of agar.

Add 10 mL of d H2O to 1 g of Amp powder.

When powder is completely dissolved, vortex.

Use a sterile 0.22 mm filter to sterilize.

Store at -20 °C and aliquot 1 mL of the amp solution into a 1.5 mL tube.

How is ampicillin 50 mg/mL produced?

Ampicillin sodium salt 500 mg can be dissolved in water to a final volume of 10 ml to create a 50 mg/ml stock solution.

How should 250 mg of ampicillin be diluted?

With 1 mL, 1.8 mL, 3.5 mL, and 6.8 mL of each of the following: 250 mg, 500 mg, 1 g, and 2 g vials

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A cheetah can run at a maximum speed
108 km/h and a gazelle can run at a maximum speed of 79.9 km/h.
If both animals are running at full speed,
with the gazelle 75.8 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Answers

The time taken by cheetah to catch its prey is  9.71 s.

What is speed?

Speed is the defined as the distance covered per unit time by a moving body or object.

Speed = distance/time

The speed of the gazelle = 79.9 km/h = 22.2 m/s

speed of the cheetah = 108 km/h = 30 m/s

Let distance covered by gazelle = d

distance covered bet cheetah = d + 75.8

The time taken is same for both = t

time = distance/speed

time taken by cheetah = d + 75.8/30

time taken by gazelle = d/22.2

equating both times: d + 75.8/30 = d/22.2

30 d - 22.2 d = 1682.76

d = 215.7 m

Therefore, time taken by cheetah = (215.7 + 75.8)/30

t = 9.71 s

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A reconnaissance plane flies 545 km away from
its base at 568 m/s, then flies back to its base
at 852 m/s.
What is its average speed?
Answer in units of m/s.

Answers

Considering the definition of speed, the average speed of the plane is 681.6 m/s.

Speed

speed ​​is a quantity that expresses the relationship between the space traveled by an object.

In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:

speed= distance traveled÷ time

Average speed in this case

In this case, you know:

Part 1 of the trip: A reconnaissance plane flies 545 km (545,000 m) away from its base at 568 m/s, Part 2 of the trip: The reconnaissance plane flies back to its base at 852 m/s.

So, in both cases you know the distance traveled and the speed. Therefore, you must calculate the time in which each part of the trip is made, in order to later know the total time. For this, the definition of speed is used:

Part 1 of the trip: 568 m/s= ÷ time → 568 m/s× time= 545,000 m → time= 545,000 m÷ 568 m/s → time= 959.5070 sPart 2 of the trip: 852 m/s= 545,000 m÷ time  → 852 m/s× time= 545,000 m → time= 545,000 m÷ 852 m/s → time= 639.6714 s

So, you know:

total distance traveled= 545,000 m + 545,000 m= 1,090,000 mtotal time= 959.5070 s + 639.6714 s= 1599.1784 s

Replacing in the definition of speed:

speed= 1,090,000 m÷ 1599,1784 s

speed= 681.6 m/s

In summary, the average speed of the plane is 681.6 m/s.

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Two spots on a tlc plate have very similar rf values. could they be the same compound? describe a tlc method to determine whether they are the same or different?

Answers

Create a plate with three points of reference. On the two side points put the two compounds separately and in the middle one combine both compounds.

The Rf value of a substance is used to identify the properties of that compound. The Rf value of polar compounds is lower, while the Rf value of non-polar compounds is higher. Three lanes are the most prevalent method for assessing too close spots. Compound A is in lane 1. Compound B is in lane 3. Both spots are in lane 2. This is known as a co-spot. If the co-spot exhibits a 'snowman' effect whenever the TLC is run, it indicates that perhaps the spots are, in a real sense, different compounds which are extremely close together. You could also try changing the solvent system, yet co-spot always comes first.

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How much would the displacement (in meters) of a 80 N/m spring be if the force hanging was 200 N?

Answers

The displacement of the spring with a force constant of 80 N/m is 2.5 m.

What is displacement?

Displacement can be defined as the difference between the final and initial position of a object in motion.

To calculate the displacement of the spring, we use the formula below.

Formula:

e = F/k............ Equation 1

Where:

e = displacement of the springF = Force hanging on the springk = Spring constant

From the question,

Given:

F = 200 Nk = 80 N/m

Substitute these values into equation 1

e = 200/80e = 2.5 m

Hence, the displacement of the spring is 2.5 m.

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For a penny that weighs 2.493 gg, what is the molarity of the zn(no3)2zn(no3)2 if the resultant solution is diluted to 250.0 mlml with water?

Answers

The molarity of the zn(no3)2zn(no3)2 is 0.148 M

This is the Equation used Zn(s)+2HNO3(aq)⟶Zn(NO3)2(aq)+H2(g)

The mass in grammes of one mole of a chemical is its molar mass. The number of entities that are present in a material

A substance's molar mass is the volume of the material that contains one mole of the substance. Its basic definition is the weight of a single mole of a material. The atomic mass of each substance is multiplied by the subscript of that element in the chemical formula to determine the molar mass.

e.g. atoms, molecules, ions, is defined as a mole.

Any material has 6.022 x 1023 molecules in a mole.

Hence the molarity is 0.148M

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A bush pilot wants to fly her plane to a lake that is 250.0 km [N30.0°E] from her starting point. The plane has an air speed of 210.0 km/h, and a wind is blowing from the west at 40.0 km/h. (a) In what direction should she head the plane to fly directly to the lake? (b) If she uses the heading determined in (a), what will be her velocity relative to the ground? (c) How long will it take her to reach her destination?​

Answers

(a) The plane must fly at an angle of N 35.5° E to immediately approach the lake.

(b) The velocity of the plane is 245.6 km/h.

(c) The time taken is 1.02 hours.

Lake displacement from the starting position, D = 250 km N 30° E

As the x-axis, let's choose the line connecting the plane's beginning point with the lake, which is located in the direction N 30° E.

D = 250 ^i km

The plane's airspeed,

v(p) = 210 km/h

From the east comes the wind. Therefore, using the coordinate system described above, the wind speed,

v(w) = 40 [ cos ( − 30° ) ^i + sin ( − 30°) ] km/h

v(w) ≈ ( 36.64 ^i − 20 ^j ) km/h

(a) To eliminate the perpendicular component of the wind velocity, move the plane in the direction θ with respect to the x-axis.

v(p) = 210 ( cos(θ) ^i + sin(θ) ^j ) km/h

In order for the y-component of the plane velocity to cancel out the y-component of the wind velocity, the correct angle must be calculated.

Therefore,

210 sin(θ) km/h = 20 km/h

sin(θ) = 20 / 210

θ ≈ 5.5°

Therefore, the aircraft should fly 5.5 degrees off of the x-axis. This means that the plane must fly at an angle of N 35.5° E to immediately approach the lake.

(b) The velocity relative to the ground is:

v = v(w) + v(p)

v = 210 ( cos 5.5° ^i + sin 5.5° ^j ) km/h + ( 36.64 ^i − 20 ^j ) km/h

v ≈ ( 209 ^i + 20 ^j ) km/h + ( 36.64 ^i − 20 ^j ) km/h

v = 245.6 ^i km/h

The plane is moving at a speed of 245.6 km/h relative to the ground.

(c) From the starting point, the time taken to reach the lake is:

time = distance/ speed

T = 250 km / 245.6 km/h

T ≈ 1.02 h

Therefore, from the starting position, it will take around an hour to get to the lake.

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A ball starts from rest at the initial position xi = 0. The ball has a constant acceleration of 2.4m/s2.

Answers

With the use of second equation of motion formula, its position at time 3.7 s is 16.43 meters

What is Position ?

A position is a point where an object can be located. The length between two positions is known as distance.

Given that a ball starts from rest at the initial position xi = 0. The ball has a constant acceleration of 2.4m/s², to know its position time 3.7 s, we will use the formula

X2 - X1 = ut + 1/2 × a × t²

Where

a = 2.4 m/s²t = 3.7 su = 0 (ball starts from rest)

Substitute all the parameters into the formula

X2 - 0 = 0 + 1/2 × 2.4 × 3.7²

X2 = 1.2 × 13.69

X2 = 16.43 m

Therefore, its position at time 3.7 s is 16.43 meters

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Starting from rest, a 2-kg body acquires a speed of 8 m/s in 2 seconds. the net force acting on the body is:________

Answers

Starting from rest, a 2-kg body acquires a speed of 8 m/s in 2 seconds. the net force acting on the body is: 8 N

To solve this exercise the formula for net force and the formula for uniformly varied rectilinear motion (UVRM) to be applied are:

F = m * aa = (vf - vi) /t

Where:

F = Forcem = massa = accelerationvf = final velocityvi = initial velocityt = time

Information about the problem:

m = 2 kgvf = 8 m/svi = 0 m/st = 2 sa = ?F = ?N = kg * m/s²

Applying the formula for UVRM we can calculate the acceleration of the runner:

a = (vf - vi) /t

a = (8 m/s - 0 m/s) / 2s

a = 8 m/s / 2s

a = 4 m/s²

With the acceleration we can apply the net force formula and get:

F = m * a

F = 2 kg * 4 m/s²

F = 8 N

What is force?

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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005 10.0 points
Two airplanes leave an airport at the same
time. The velocity of the first airplane is
700 m/h at a heading of 69.8°. The velocity
of the second is 620 m/h at a heading of 107.
How far apart are they after 1.9 h?
Answer in units of m.

Answers

Answer:

V1 = 700 cos 69.8 i + 700 sin 69.8 j           vector components of V1

V1 = 241.7 i + 656.9 j          in miles/hour

V2 = 620 cos 107  i + 620 sin 107 j

V2 = -181.3 i + 592.9 j

V = V1 - V2 = 423 i + 64 j        rate of planes separation

1.9 V = 803.7 i + 121.6 j     miles   separation of planes after 1.9 hr

D = (803.7^2 + 121.6^2)^1/2 = 812.8 miles

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