1. The bottom of an elevated water tank has an
area of 135 m². If the pressure on the bottom is
1.52 x 104 Pa, what is the total force the bottom
must support?

Answers

Answer 1

Answer:

2.05×10⁶ N

Explanation:

Force = pressure × area

F = (1.52×10⁴ Pa) (135 m²)

F = 2.05×10⁶ N

Answer 2
Final answer:

The total force the bottom of the tank needs to support is calculated using the formula for pressure which is Pressure = Force / Area. By rearranging this formula to get Force = Pressure x Area, and substituting the given values, we find that the total force is 2.052 x 106 Newtons.

Explanation:

The subject of this question is from the field of Physics and it revolves around concepts of fluid pressure and force. The student is asked to calculate the total force exerted on the bottom of a water tank due to the pressure of the water above it. In physics, we know that pressure is defined as the force applied perpendicular to the surface of an object, per unit area. Mathematically this can be represented as Pressure = Force / Area. If we rearrange this equation to find Force, it transforms into Force = Pressure x Area.

Given in the question, the Pressure (P) is 1.52 x 10⁴ Pa and Area (A) is 135 m². Substituting these values into the equation gives us : Force = 1.52 x 104 Pa x 135 m² = 2.052 x 10⁶ N. Therefore, the bottom of the tank must support a force of 2.052 x 10⁶ Newtons.

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Related Questions

a bullet ofmass 0.05kg has a speed of 400m/s.what is its kinetic energy? If it hits a wall of which the averageresistive force is 10000N, calculate the distance penetrated by the bullet​

Answers

Answer:

4000 J

0.4 m

Explanation:

Kinetic energy is one half the mass times the square of velocity:

KE = ½ mv²

Given m = 0.05 kg and v = 400 m/s:

KE = ½ (0.05 kg) (400 m/s)²

KE = 4000 J

Work = change in energy

W = ΔKE

Fd = KE

(10000 N) d = 4000 J

d = 0.4 m


2. The____
is a series of steps that can help you make good decisions
and solve problems.

Answers

Scientific method is the answer
Final answer:

The 'decision-making process' is a series of steps employed to make well-informed decisions and solve problems efficiently. It encompasses understanding the problem, assembling information, producing options, examining these options, choosing the best one, and implementing and evaluating the outcome.

Explanation:

The answer you're likely seeking is the decision-making process. This process is a series of steps that can aid in making informed decisions and solving problems effectively. This process often includes identifying the problem, gathering information, generating ideas or solutions, evaluating potential solutions, choosing the most suitable solution, and then implementing and assessing this chosen solution. This sequence of steps is used in many contexts, from mathematics to business to personal life.

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Which of these is important to gathering and interpreting scientific information?
A. Emotion
B. Legend
C. Religion
D. Logic

Answers

Answer:

D.) Logic

Explanation:

Definition:

the reasoning conducted or assessed according to strict principles of validity.

Hope this helps you out ; D

D. Logic.

Scientific information has been the consequence of scientific method, which is based on reason and observation. Hence, the gathering and interpretation of information in a scientific must be based on logic and reasoning, which are based on rules of inference, on what it is observed.

We conclude that correct choice is D.

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Jose gets up from his seat on the bus to move closer to the front. Just as he begins to walk forward, the bus stops at a light. What is the best explanation of what happens to Jose?

Answers

Answer:

According to first law of motion, a body continues to be in state of rest or motion unless an unbalanced force acts on it.

When the bus stops, Jose feels a sudden forward motion. This is due to the inertia of motion. In the bus, Jose has same speed as the bus while sitting. When she gets and starts moving, the bus stops at the light. But due to the inertia of motion, Jose feels a sudden forward motion before she finally stops.

If a wave has a period of 0.077 sec, it has a frequency of?

Answers

mathematically,

[tex]frequency = \frac{1}{t} [/tex]

where t = time

from the question, t= 0.077sec

substitute it in the formula

[tex]frequency = \frac{1}{0.077} [/tex]

[tex]frequency = 12.987 {s}^{ - 1} [/tex]

approximately 13s^-1

If a wave has a period of 0.077 sec, it has a frequency of 12.98.

What is the frequency?

The frequency of a repeated event is the number of occurrences per unit of time. It is separate from angular frequency and is sometimes referred to as temporal frequency. The frequency is expressed in hertz (Hz), which equals one occurrence per second.

An example is a human heart that can beat at up to 68 beats per minute.

The frequency is the number of times an observation is repeated between the upper and lower class bounds of that class. Cumulative Frequency is the sum of frequencies up to that class.

Frequency = 1 / t

where t = time

from the question, t = 0.077sec

substitute it in the formula

1 / 0.077 = 12.98

Therefore, the frequency of a wave whose period is 0.077 seconds is 12.98.

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A car accelerates from 25ms to 40ms in 5 seconds. What is the average velocity?​

Answers

Answer:

32.5 m/s

Explanation:

Assuming the acceleration is uniform, the average velocity is simply the average of the initial and final velocities.

v_avg = (v₀ + v) / 2

v_avg = (25 + 40) / 2

v_avg = 32.5

A student took a calibrated 200.0 gram mass, weighed it on a laboratory balance, and found it read 186.5 g. What was the student’s percent error?

Answers

Final answer:

The calculated percent error for the student who weighed a 200.0 g mass as 186.5 g is -6.75%, indicating that the measured value was lower than the actual value.

Explanation:

The student's percent error is calculated using the formula [(observed value - true value) / true value] * 100. In this case, the observed value is the value measured by the student, which is 186.5 g. The true value is the actual weight of the object, which is 200.0 g. By substituting these values into the formula, we get percent error = [(186.5 g - 200.0 g) / 200.0 g] * 100, resulting in a percent error of -6.75%. This negative value indicates that the measured value is lower than the actual value.

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describe how you can you use a graduated cylinder to measure the volume of an irregular object​

Answers

Answer:Place the graduated cylinder on a flat surface and view the height of the liquid in the cylinder with your eyes directly level with the liquid. The liquid will tend to curve downward. This curve is called the meniscus. Always read the measurement at the bottom of the meniscus.

Explanation:

1. Summarize What are the four conditions of a
purely competitive market?​

Answers

Answer:

Explanation:

1. Many buyers and sellers participate in the market.

2. Sellers offer identical products.

3. Buyers and sellers are well informed about products.

4. Sellers are able to enter and exit the market freely.

Positions B and D are 11.3 meters and 1.9 meters above the playing field, respectively. If the ball had a speed of 6.2 m/s in position B, what is its speed in position D?

Answers

Answer:

Speed of the ball in position D [tex]=14.92 \frac{m}{s}[/tex]

Explanation:

Given:

Position of B=11.3[tex]\text { meters }[/tex]

Position of D=1.9[tex]\text { meters }[/tex]

Velocity of B=6.2[tex]\text { meters }[/tex]

To Find:

Velocity of D

Solution:

According to the formula, Velocity is given as

[tex]V d=\sqrt{\left[V b^{2}+(2 \times g \times d y)\right]}[/tex]

[tex]V b[/tex]=Velocity of B

[tex]V d[/tex]=Velocity of D

g=acceleration due to gravity=9.8 m/s^2  

[tex]d y[/tex]=Change in position of B and D

Substitute the all values in the above equation we get  

[tex]d y=11.3-1.9[/tex]

[tex]V d=\sqrt{\left[6.2^{2}+(2 \times 9.8 \times(11.3-1.9))\right]}[/tex]

[tex]=\sqrt{[38.44+(2 \times 9.8 \times(9.4))]}[/tex]

[tex]=\sqrt{[38.44+(19.6 \times 9.4)]}[/tex]

[tex]=\sqrt{38.44+186.24}[/tex]

[tex]=\sqrt{222.68}[/tex]

[tex]=14.92 \frac{m}{s}[/tex]

Result :

The velocity of D is [tex]=14.92 \frac{m}{s}[/tex]

In any circuit, current is inversely proportional to:
potential
resistance
emf
voltage​

Answers

Answer:

This equation, i = v/r, tells us that the current, i, flowing through a circuit is directly proportional to the voltage, v, and inversely proportional to the resistance, r. In other words, if we increase the voltage, then the current will increase.

HOPE THIS HELPED!!!!!!!!!!!!!!XDDDDDD

True or false a mixture of soil has the same chemical composition throughout ?

Answers

Answer:

false

Explanation:

A mixture of soil does not have the same chemical composition through out.

at some point we begins to see different chemical composition

What is a stock that reinvests its earnings in the business instead of paying regular dividends called?a growth stock , a preferred stock, an income stock, a common stock

Answers

Answer:

Growths stock

Explanation:

Gradpoint verified

2. Now imagine that the car is on a rectangular track that is 30 cm on each short side and 60 cm on each long
side. The car begins at the 0 cm position and takes one trip around the track.
a
What is the displacement of the car?
b.
What is the total distance that the car travels?

Answers

Answer:

distance is 180 displacement is 0

Explanation:

Displacement is the distance between one point to another directly in only one direction but distance is the distance traveled altogether in any direction.

Final answer:

The displacement of the car traveling around a rectangular track and returning to the starting point is zero, while the total distance traveled by the car is the sum of all sides of the rectangle, thus 180 cm.

Explanation:

In physics, displacement is defined as the shortest distance from the initial to the final position of a point. Therefore, if a car starts from a point on the track and makes a round trip back to the same point, the displacement of the car is zero.

Total distance traveled by the car, however, is the total length of the path covered by the car. The track is a rectangle with width 30 cm (short side) and length 60 cm (long side). Thus the total distance is calculated by adding up the lengths of all sides of the rectangle (2*30 cm + 2*60 cm) which equals 180 cm.

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Which of these is an example of a labor law?
A. A limitation on building types in an industrial area.
B. A regulation against production limitation.
C. A requirement that products be truthfully labeled.
D. A restriction on when a union may call a strike.

Answers

Answer: D. A restriction on when a union may call a strike.

Explanation:

A labor law is concerned with the establishment of labor relation framework that provides peaceful relations between the employees and the organization. It usually includes the rules for forming a union. In this condition the union of labor or workers become a bargaining agent and conducts strikes and lock-outs to fulfill it's needs and present their grievances to the authorities.

Answer:

The answer is D. A restriction on when a union may call a strike.

Explanation:

Electromagnetic force blank Than the gravitational force

Answers

Answer:

stronger

Explanation:

A magnet can pull up a metal object because it is stronger than the gravitational force of the entire planet.

the answer is : Stronger

What’s a Scientific law

Answers

Answer: scientific laws or the laws of science are statements that describe or predict a range of natural phenomena

Explanation:

An experiment is conducted using 2 plants to determine if the amount of sunlight they receive affects how fast they grow. Which should be true about this experiment, based on good experimental design? An experiment is conducted using 2 plants to determine if the amount of sunlight they receive affects how fast they grow. Which should be true about this experiment, based on good experimental design?

Each of the plants should be planted with different types of soil.

Both plants should receive the same amount of sunlight each day.

Each of the plants should be planted with different types of fertilizer.

1 plant should receive sunlight each day, and 1 plant should never receive sunlight.

Answers

Greetings!

The correct answer choice is Choice 4.

Why?

In a scientific experiment the only thing being changed is the independent variable. Everything else should stay the same.

In this experiment, the independent variable is the amount of sunlight each plant should receive. Here's a tip- when looking for and independent variable look for whats being changed on purpose.

Hope this helps!

~Fluerie

Please help!


How did Jessica Kusher create her new material?

Answers

Jessica Kusher created a new material by b. mixing graphite, gypsum, and mica that could be painted on roof shingles.

This innovative formula aims to address two significant issues: reducing a home's cooling costs and potentially lowering ozone pollution in urban areas.

The material is notable for its environmentally friendly impact, focusing on making buildings more energy-efficient by reflecting more sunlight and thus reducing the amount of heat absorbed by the roofs.

This reduction in heat absorption could lead to a decrease in the energy required to cool buildings. The creation of this new material involved experimenting with different components to enhance its efficiency and effectiveness.

Full question:

How did Jessica Kusher create her new material?

a. harvesting rare minerals from deep-sea vents and combining them with organic polymers.

b. mixing graphite, gypsum, and mica that could be painted on roof shingles.

c. genetically engineering bacteria to produce a biodegradable substitute for plastic.

d. extracting nanoparticles from recycled plastic bottles and incorporating them into a concrete mixture for enhanced durability.

The likelihood of developing heart disease is correlated with high rates of

Answers

Final answer:

The development of heart disease is correlated with factors such as high cholesterol levels, obesity, and high blood pressure. Modifiable lifestyle choices, including diet and exercise, greatly influence cardiovascular health, while diabetes and family history also play significant roles.

Explanation:

The likelihood of developing heart disease is correlated with several factors. High cholesterol levels, particularly high amounts of "bad cholesterol", significantly increase the risk of cardiovascular diseases like coronary artery disease (CAD), where arteries narrow due to the buildup of plaques. Similarly, obesity, which involves having a very high percentage of body fat, especially around the abdomen, similarly elevates the risk for heart conditions.

Furthermore, high blood pressure makes the cardiovascular system work harder than normal, potentially leading to conditions like hypertension and contributing to heart disease. These are some of the modifiable factors affecting heart disease, in addition to lifestyle choices such as diet and exercise, which also play a crucial role in cardiovascular health.

It's important to note that preventing cardiovascular disease is possible by controlling these risk factors. Healthy lifestyle choices, such as quitting smoking, regular exercise, and a balanced diet, can lower a person's risk of developing heart disease. Additionally, being aware of the impact of diabetes and family medical history can help in managing and mitigating the risks associated with heart disease.

U. A hockey player takes a slap shot at a puck at rest on
the ice. The puck glides over the ice for 10 ft without
friction, at which point it runs over rough ice. The
puck then accelerates opposite its motion at a uniform
rate of - 20 ft/s2. If the velocity of the puck is 40 ft/s
after traveling 100 ft from the point of impact,
(a) what is the average acceleration imparted to the
puck as it is struck by the hockey stick? (Assume that
the time of contact is 0.01 s.) (b) How far in all does
the puck travel before coming to rest? (c) What is the total time the puck is in motion, neglecting contact time?

Answers

Answer:

a) 7200 ft/s²

b) 140 ft

c) 3.7 s

Explanation:

(a) Average acceleration is the change in velocity over change in time.

a_avg = Δv / Δt

We need to find what velocity the puck reached after it was hit by the hockey player.

We know it reached 40 ft/s after traveling 90 feet over rough ice at an acceleration of -20 ft/s².  Therefore:

v² = v₀² + 2a(x − x₀)

(40 ft/s)² = v₀² + 2(-20 ft/s²)(100 ft − 10 ft)

v₀² = 5200 ft²/s²

v₀ = 20√13 ft/s

So the average acceleration impacted to the puck as it is struck is:

a_avg = (20√13 ft/s − 0 ft/s) / (0.01 s)

a_avg = 2000√13 ft/s²

a_avg ≈ 7200 ft/s²

(b) The distance the puck travels before stopping is:

v² = v₀² + 2a(x − x₀)

(0 ft/s)² = (5200 ft²/s²) + 2(-20 ft/s²)(x − 10 ft)

x = 140 ft

(c) The time the puck takes to travel 10 ft without friction is:

t = (10 ft) / (20√13 ft/s)

t = (√13)/26 s

The time the puck travels over the rough ice is:

v = at + v₀

(0 ft/s) = (-20 ft/s²) t + (20√13 ft/s)

t = √13 s

So the total time is:

t = (√13)/26 s + √13 s

t = (27√13)/26 s

t ≈ 3.7 s

The average acceleration or the total time will be:

(a) 7200 ft/s²(b) 140 ft(c) 3.7 s

According to the question,

Velocity,

[tex]v^2 = 40 \ ft/s[/tex]

Acceleration,

[tex]a = -20 \ ft/s^2[/tex]

(a)

As we know,

→     [tex]v^2=v_0^2+2a(x-x_0)[/tex]

By substituting the values, we get

→ [tex](40)^2=v_0^2+2(-20)(100-10)[/tex]

→     [tex]v_0^2=5200 \ ft^2/s^2[/tex]

→          [tex]= 20\sqrt{13} \ ft/s[/tex]

Now,

The average acceleration will be:

→ [tex]a_{avg} = \frac{\Delta v}{\Delta t}[/tex]

→         [tex]= \frac{20\sqrt{13}-0 }{0.01}[/tex]

→         [tex]= 2000\sqrt{13} \ ft/s^2[/tex]

→         [tex]= 7200 \ ft/s^2[/tex]

(b)

The distance will be:

→   [tex]v^2=v_0^2+2a(x-x_0)[/tex]

→ [tex](0)^2= 5200+2(-20)(x-10)[/tex]

→     [tex]0= 5200-40(x-10)[/tex]

→     [tex]x = 140 \ ft[/tex]

(c)

The time taken to travel 10 ft will be:

→ [tex]t = \frac{10}{20\sqrt{3} }[/tex]

     [tex]= \frac{\sqrt{13} }{26} \ s[/tex]

The time taken over rough ice will be:

→ [tex]v = at+v_0[/tex]

  [tex]0=-20t+20\sqrt{13}[/tex]

[tex]20t = 20\sqrt{13}[/tex]

   [tex]t = \sqrt{13} \ s[/tex]

hence,

The total time taken will be:

→ [tex]t = \frac{\sqrt{13} }{26} +\sqrt{13}[/tex]

     [tex]= \frac{27\sqrt{13} }{26}[/tex]

     [tex]= 3.7 \ s[/tex]

Thus the above answers are correct.    

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A local Dunkin' Donuts shop reported that its sales have increased exactly 20% per year for the last 2 years. This year's sales
were $80,468. What were Dunkin' Donuts' sales 2 years ago? (Round each year's sales to the nearest dollar.)

Answers

Answer:

$55,881

Explanation:

A = P (1 + r)^t

where A is the final amount,

P is the initial amount,

r is the rate,

and t is time.

Given: A = 80468, r = 0.20, and t = 2.

80468 = P (1.20)^2

P ≈ 55881

The sales 2 years ago was approximately $55,881.

Dunkin' Donuts' sales 2 years ago were $55,881.

A = P (1 + r)^t

where A is the final amount, P is the initial amount, r is the rate, and t is time.

A = 80468, r = 0.20, and t = 2.

80468 = P (1.20)^2

P ≈ 55881

The sales 2 years ago were approximately $55,881.

What is a sale?

Sales are activities related to selling or the style of products sold in a given focused term. The shipping of a provider for a rate is likewise considered all through a sale.

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You measure the voltage difference of a circuit to be 15 Volts and the resistance to be 675 Ohms.
What is the current in the circuit? (Show the appropriate equation and show your work with units)

Answers

Answer:

0.0222 A

Explanation:

V = I*R

[tex]15v = 675ohms \times i \\ i = \frac{15v}{675ohms} = 0.0222 a [/tex]

Using Ohm's law, which is I = V/R, the current I is calculated by dividing the voltage V (15V) by the resistance R (675Ω), resulting in a current of 22.2 milliamps.

The student is asking how to calculate the current in a circuit when given the voltage and resistance. To find the current (I), we use Ohm's law, which is represented by the equation I = V/R, where I is the current in amperes (A), V is the potential difference in volts (V), and R is the resistance in ohms (
). To solve the student's problem:

Voltage (V) = 15 Volts
Resistance (R) = 675 Ohms

Plugging these values into Ohm's law:

I = V/R
I = 15V / 675 Ω
I = 0.0222 A or 22.2 mA (Milliamps)

Therefore, the current in the circuit is 22.2 milliamps.

What do artists and scientists have in common?

Creative thinking processes
Clean laboratory environments
Knowledge of computers
Lack of imagination

FYI this is for science class!!!!!!!!!!!!!!!

Answers

Answer: Creative Thinking process.

Explanation:

Artists process imagination.

Artists don’t use labs.

Scientists and artists have a different type of computer knowledge (artists having graphic design knowledge and scientists knowing more about data.)

Answer:

creative thinking process

List and Explain three ways study groups benefit your learning

Answers

Answer:

Explanation:

Find a new perspective.

The other members of the study group will have different ideas and perspectives to their own, thus generating different ways of understanding a topic. When you study, you only have one vision, however, by doing it in company, your own knowledge is enriched and you can understand the concepts globally.

Motivation

It is another advantage of studying in a group. Being alone, he turns around before sitting down to study, looking for excuses and wasting time. On the other hand, when having a study appointment, you must meet a schedule, taking advantage of the moment to just study. They will also encourage each other to continue studying. In short, you cannot postpone studies as you would if you were studying alone.

Eliminate boredom.

Joining a study group generally makes the act of studying a little less monotonous. You should try to put together a group with those who understand the subject and are responsible, and the ideal is to enjoy the entire study process in company.

Answer:

Look at things from a different angle.

Other members of the study group will have different views and viewpoints than they do, resulting in a variety of approaches to a topic. When you study, you only have one vision; but, when you do it in a group, your knowledge expands and you may grasp topics more broadly.

Motivation

Another benefit of studying in a group is this. He turns around before settling down to study because he is alone, looking for reasons and wasting time. When you have a study appointment, on the other hand, you must stick to a timetable and use the time to study. They will also motivate one another to keep learning. In other words, you won't be able to postpone your studies like you would if you were studying alone.

Explanation:

The graph is the path Beth took on a walk.

A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters.
What does the line from time 6 to 10 indicate?

Beth slowed down considerably.
Beth went back toward her origin.
Beth sped up considerably.
Beth went farther away from origin.h expression is equivalent to

Answers

Answer:

Beth went back toward her origin

Explanation:

Please, see the attached image that represent's Beth's path.

She started her walk 2 meters from the origin (0) and after 6 seconds she headed back to position zero (0) the origin. Notice the second half of the graph as a segment going down, thus reducing her distance from the origin, and getting closer to it.

Answer:

Beth went back toward her origin.

Beth speed up considerably.

Explanation:

speed of the object is defined as the slope of the position time graph

here we know that

initially it moves from t = 0 to t = 6 from x = 2 to x = 8

so the slope is given as

[tex]v = \frac{x_2 - x_1}{t_2 - t_1}[/tex]

[tex]v = \frac{8 - 2}{6 - 0}[/tex]

[tex]v = 1 m/s[/tex]

similarly for next we have

again it comes to x = 0 after t = 10 s

so the speed is

[tex]v_2 = \frac{x_3 - x_2}{t_3 - t_2}[/tex]

[tex]v_2 = \frac{0 - 8}{10 - 6}[/tex]

[tex]v_2 = -2 m/s[/tex]

so here the velocity is negative which shows that it will move in reverse direction also its velocity is also increase

so correct answers are

Beth went back toward her origin.

Beth speed up considerably.


A particle moves in a straight line. Its speed(v)
increases linearly with time. If the initial speed of
the particle is vo and its speed at t = 4 s is 2V
then integration of vdt from 0 to 4 is
(1) Zvo
(3) 6v
(2) 8vo
(4) AVO

Answers

Answer:

[tex]6v_0[/tex]

Explanation:

The speed of the particle increases linearly with time, so we can write it as

[tex]v(t) = kt+v_0[/tex]

where k is the a certain constant of proportionality and [tex]v_0[/tex] is the initial speed.

We also know that at t = 4 s, the speed is [tex]v=2v_0[/tex], so we can use this information to find k:

[tex]v(4) = 4k+v_0 = 2v_0 \rightarrow k = \frac{v_0}{4}[/tex]

So the complete expression of v(t) is

[tex]v(t) = \frac{v_0}{4}t+v_0 = v_0 (\frac{t}{4}+1)[/tex]

Now we integrate the quantity [tex]v(t)[/tex], and we find:

[tex]\int {v(t)} \, dt =\int (\frac{v_0}{4}t+v_0) \, dt =\frac{v_0}{8}t^2 + v_0 t[/tex]

Substituting the limit of integration t = 4, we find:

[tex]\frac{v_0}{8}4^2 + 4v_0 =2v_0+4v_0 = 6v_0[/tex]

And substituting t = 0, we find 0. So, the result of the integration from 0 to 4 is

[tex]6v_0[/tex]

1. How is 0.00069 written in scientific notation? (1 point).
O 69x10--
06.9x104
O 0.69x107
0692104​

Answers

Answer: [tex]6.9 (10)^{-4}[/tex]

Explanation:

When a number is written in scientific notation (representing the number using powers of base ten) it is expressed so that it contains a digit in the place of the units and all other digits after the decimal point, multiplied by the respective exponent.  

Then, the significant digits will be the digits that are before the power of ten.

In the case of [tex]0.00069[/tex]  we have to move the decimal point to the right and the power of base ten will be equal to the spaces moved to the right:

[tex]0.00069=6.9(10)^{-4}[/tex]

19. A young woman named Kathy Kool buys a superde-
luxe sports car that can accelerate at the rate of
16 ft/s2. She decides to test the car by dragging with
another speedster, Stan Speedy. Both start from rest,
but experienced Stan leaves 1 s before Kathy. If Stan
moves with a constant acceleration of 12 ft/s2 and
Kathy maintains an acceleration of 16 ft/s2, find
(a) the time it takes Kathy to overtake Stan, (b) the
distance she travels before she catches him, and
(c) the velocities of both cars at the instant she over-
takes him.​

Answers

Answer:

a) 6.46 seconds

b) 334 feet

c) Kathy: 103 ft/s; Stan: 89.6 ft/s

Explanation:

At constant acceleration:

x = x₀ + v₀ t + ½ at²

where x is final position,

x₀ is initial position,

v₀ is initial velocity,

a is acceleration,

and t is time.

For Kathy, x₀ = 0 ft, v₀ = 0 ft/s, a = 16 ft/s², and t = t.

For Stan, x₀ = 0 ft, v₀ = 0 ft/s, a = 12 ft/s², and t = t + 1.

Kathy:

x = 0 + (0) t + ½ (16) t²

x = 8t²

Stan:

x = 0 + (0) (t + 1) + ½ (12) (t + 1)²

x = 6 (t + 1)²

a) When Kathy overtakes Stan, they have the same position:

8t² = 6 (t + 1)²

8t² = 6 (t² + 2t + 1)

8t² = 6t² + 12t + 6

2t² − 12t − 6 = 0

t² − 6t − 3 = 0

Solving with quadratic formula (or complete the square):

t = [ -(-6) ± √((-6)² − 4(1)(-3)) ] / 2(1)

t = [ 6 ± √(36 + 12) ] / 2

t = (6 ± √48) / 2

t = (6 ± 4√3) / 2

t = 3 ± 2√3

Since t > 0, t = 3 + 2√3 ≈ 6.46 seconds.

b) Kathy's position when she overtakes Stan is:

x = 8t²

x = 8 (3 + 2√3)²

x ≈ 334 feet

c) To find the final velocities, we use:

v = at + v₀

For Kathy:

v = (16) (3 + 2√3) + 0

v ≈ 103 ft/s

For Stan:

v = (12) (3 + 2√3 + 1) + 0

v ≈ 89.6 ft/s

Abi measures the volume and weight of four objects and records his data in this table. A 3-column table with 4 rows titled volume and weight. The first column is labeled object with entries W, X, Y, Z. The second column is labeled volume with entries 10 centimeters cubed, 122 centimeters cubed, 56 centimeters cubed, 18 centimeters cubed. The third column is labeled weight with entries 2 pounds, 3 pounds, 1 pound, 7 pounds. Which object has the most mass? W X Y Z

Answers

The concept of weight allows us to find the mass of each body, finding that the answer for the body with the greatest mass is:

material Z    with m = 0.125 slug

Density is a connection used in many expressions of physics, it is defined by the relationship between the mass and the volume of the body.  

      ρ = [tex]\frac{m}{V}[/tex]

Where ρ is the density, m the plus and V the volume of the body

The specific weight is defined by the relationship between the weight of the body and its volume, it is a quantity that depends on the value of the acceleration due to the gravity of the place. Expression used in the English system of measurements

       γ = [tex]\frac{W}{V}[/tex]

From the previous expressions it is observed that the density and the specific weight are related

        γ = ρ g

The weight of the product of the mass of the body that is invariant by the value of the acceleration of gravity, whose value depends on the place of measurement.

             W = m g

             m = W / g

Where W is the weight, m ​​the mass and g the acceleration due to gravity

This exercise describes the values ​​in the following table

material     volume (cm³)     weight (lb)

  W                   10                     2

  X                  122                     3

  Y                    56                     1

  Z                     18                     7

They ask to find which body has the greatest mass.

In the English system, the measurement is the weight of the body, which is expressed in pounds, the mass measurement is not so common and its unit is the slug.

let's calculate

Material W

          m = 2/32

          m = 0.0625 slug

Material X

         m = 3/32

         m = 0.09375 slug

Material Y      

             m = 1/32

             m = 0.0312 slug

Material Z

             m = 7/32

             m = 0.125 slug

In conclusion, using the concept of weight, we can find the mass of each body, finding that the answer for the body with the greatest mass is:

material Z         with m = 0.125 slug

Learn more about weight here:

https://brainly.com/question/22255610

Answer:

D

Explanation:

Edge

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