Extra questions Book Ch. 2.8 Q1: An object is subject to an acceleration of the form: a = 2.00-6t2 m/s². Knowing that the velocity and the position at time t = 0s are respectively 12 m/s and 40 m: a. Find the equation of motion for the velocity. b. Find the equation of motion for the position. c. Find the position after 3 s.

Answer:

Net Force is 92N and acceleration is 3.22 m/s/s

Explanation:

Fnet = Net force

FR = Force of friction

m = mass

a = acceleration

Fnet = ma

Fnet = F - FR = 302 - 210 = 92N

F - FR = ma

302 - 210 = (28.6)a

a = 3.22 m/s/s

Answer:

Explanation:

BMI= weight/(height × height)          ; weight in kilogram and height in metter

     = 58kg / (1.61m  × 1.61m )

     = (58/ 2.5921) kg/\(m^{2}\)

     = 22.375  kg/\(m^{2}\)

     ≈ 22.4 kg/\(m^{2}\)

Answer:

To find the range and time of flight of the elf, we need to use the equations of motion under the influence of gravity. The range is the horizontal distance covered by the elf and the time of flight is the total time that the elf is in the air.

The initial velocity of the elf in the x-direction (horizontal direction) is 25 m/s and the initial velocity in the y-direction (vertical direction) is 0 m/s, since the elf is thrown horizontally from the top of the iceberg. The acceleration due to gravity is -9.8 m/s^2 in the downward direction.

Using these values, we can find the range and time of flight of the elf using the following equations:

Range:

x = x0 + v0x*t

Where x is the range, x0 is the initial position (in this case, x0 is 0 since the elf is thrown from the top of the iceberg), v0x is the initial velocity in the x-direction (25 m/s), and t is the time of flight.

Time of flight:

y = y0 + v0y*t + (1/2)at^2

Where y is the vertical position of the elf, y0 is the initial position (in this case, y0 is 110 m since the elf is thrown from the top of the iceberg), v0y is the initial velocity in the y-direction (0 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time of flight.

We can solve for t in the second equation and then substitute it into the first equation to find the range.

Solving for t in the second equation:

t = (-v0y +/- sqrt(v0y^2 - 4a(y0 - y))) / (2*a)

Where y is the vertical position of the elf (0 m since the elf lands on the ground), y0 is the initial position (110 m), v0y is the initial velocity in the y-direction (0 m/s), and a is the acceleration due to gravity (-9.8 m/s^2).

Substituting this expression for t into the first equation:

x = x0 + v0x*((-v0y +/- sqrt(v0y^2 - 4a(y0 - y))) / (2*a))

Plugging in the values:

x = 0 + 25*((-0 + sqrt(0^2 - 4*(-9.8)(110))) / (2(-9.8)))

Simplifying:

x = 25*(sqrt(5832) / -19.6)

x = 25*(sqrt(5832) / -19.6)

x = (25*74.6) / -19.6

x = 1865.4 / -19.6

x = -95.1 m

So, the range of the elf is approximately -95.1 m. This means that the elf lands 95.1 m to the left of the starting point (the top of the iceberg).

The time of flight can be found by solving for t in the second equation:

t = (-v0y +/- sqrt(v0y^2 - 4a(y0 - y))) / (2*a)

Plugging in the values:

t =

Explanation:

The distance covered by man is 7 km and displacement will be 5 km.

Distance is defined as the total path covered between two points. It is a scalar quantity.

Displacement is defined as the shortest path between two points. It is a vector quantity.

Distance is either always greater or equal to displacement. The distance can never be smaller than displacement.

According to the question, a person drives 6 km in the car, and he comes back 1 km to get some food means the distance traveled by him is 7 km.

However, the distance travelled will only be 5 kilometers if he travels straight to Burger King. Displacement is, after all, the shortest route between two places.

Hence, the distance will be 7 km and displacement will be 5 km respectively.

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The information illustrates that this will likely result in schema distortion.

It should be noted that schema simply means a mental model of an object that includes knowledge, beliefs, and expectations.

In this case, the information illustrates that this will likely result in schema distortion. This led to the missing details.

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Answer:

It is 4,250 N

Explanation:

Mass of each boot:

\( = \frac{1}{2} \times 850 \\ \\ = 425 \: g\)

Weight:

\({ \sf{weight = mass \times acceleration}} \\ { \sf{weight = 425 \times 10}} \\ { \sf{weight = 4250 \: newtons}}\)

Answer:

2 м/с

Explanation:

Скорость надо разделить на время, за которое она достигается (10/5=2)

Answer:

v=11.8m/s

Explanation:

speed of the ball

Force=mass*centripetal acceleration

Centripetal acceleration= V2/r

F=M*V2/r

Data

F=310N

M=2.0kg

r=0.90m

v=?

310N=(2.0kg)*V2/0.90m

cross multiply

279Nm=(2.0kg)V2

V2= 279Nm/2.0kg

V2=139.5Nm/kg

apply square root both sides

√V2=√139.5

V=11.8m/s

Given that, Hn′​=10%, pulling an excess normal acceleration of 2.0g1=3.782=1.811=−0.042=−0.59

To calculate the change in elevator angle, we need to use the formula:

Δθe= a/hn′ ∆θe = (2*9.8)/(0.1*9.8)

Δθe = 20 radb)

To calculate the location of maneuver point, we need to use the formula:

Pm= (W/S) * (V^2/2g) * (hn′ / n-1)

Pm = (W/S) * (V^2/2g) * (hn′ / n-1)

Pm = (60500/122) * (230^2/2*9.81) * (0.1 / 6.73-1)

Pm ≈ 256.7 mc)

To calculate the maneuver margin for the controls-fixed configuration, we need to use the formula: MM = θe / (π/2-θe) MM = 20 / (π/2-20)MM ≈ 6.8

Hence,The change in elevator angle is 20 rad. The location of the maneuver point is 256.7 m. The maneuver margin for the controls-fixed configuration is 6.8.

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When the temperature of a gas is raised in a tightly sealed, rigid container, the gas's density will not change. In contrast, when the piston is kept at the same temperature in a container, density decreases.

Charles Law: At constant pressure, the volume occupied by the fixed amount of gas is directly proportional to its absolute temperature.

A gas's mass per unit volume is its density. Volume is directly proportional to temperature, as stated by Charles's law. Volume increases as temperature rises. However, in a rigid container, the gas's mass is unaffected by changes in temperature and volume. As a result, even as the temperature rises, density does not change.

The pressure in a container with a piston stays the same. As a result, according to Charles' law, gas density decreases as temperature rises during heating.

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The primary effect of increasing the surface tension of the liquid is to increase the capillary force. Capillary forces arise due to the combined effects of adhesion and cohesion

When the surface tension of the liquid increases, the capillary rise will increase. It is because the increase in surface tension leads to an increase in the force that pulls the liquid upwards in a tube. is as follows;If you place a capillary tube in a beaker filled with water, the water surface inside the tube rises slightly higher than the level outside the tube.

This rise in water level is called capillary rise. The capillary rise is caused by the attraction between the molecules of the water and the molecules of the glass tube.This attraction is called capillary force or capillary action. The capillary force is due to the combined effect of adhesive and cohesive forces. The adhesive force is the attraction between the molecules of the liquid and the molecules of the solid surface, while the cohesive force is the attraction between the molecules of the liquid.

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Assuming that A represents movement to the right and -A movement to the left, we would have that the times at which the particle ismoving to the rigth are:

t = 0, 4, 8

The force due to gravity between the two objects is 3.2 x 10⁻⁵ N.

Gravity or attraction pulls objects with mass together. We often think about Earth's gravity. This force locks the body to the ground. However, all objects with mass exert gravitational force on all other objects with mass.

Solution:

The gravitational force of attraction between the two objects is:

\(F=G\frac{m1m2}{r^{2} }\)

where,

F = gravitational force = ?

Gravitational Constant (G)= 6.67 x 10⁻¹¹ Nm²/kg²

Mass of object 1 ()m1= 235 kg

Mass of object 2(m2) = 1.37 x 10¹² kg

Distance between objects(r) = 2.59 x 10⁴ m

Therefore,

\(F=6.67*10^{-11} \frac{235*1.37*10^{12} }{(2.59*10^{4}) ^{2} }\)

F = 3.2 x 10⁻⁵ N.

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Explanation:

To me, it's option 1

Newton third law states that Every action produces an equal and opposite reaction. Hence, given the fact that the engine is on, it should be producing a constant force every time so, the speed should be constant as the force propelling it is the same

Answer:

magnesium (Mg), chemical element, one of the alkaline-earth metals of Group 2 (IIa) of the periodic table, and the lightest structural metal. Its compounds are widely used in construction and medicine, and magnesium is one of the elements essential to all cellular life.

Explanation:

hope it helps

At the moment the car is at the north end of the circle and slowing down, the acceleration vector points to the south.

When an object moves in a circular path at a constant speed, it is still accelerating because its direction is changing. This acceleration is called centripetal acceleration and it always points towards the center of the circle. When the car is slowing down at the north end of the circle, its velocity vector is still pointing towards the east or west direction (tangent to the circle). Therefore, the acceleration vector must be pointing towards the center of the circle, which is south of the car. This is because the centripetal acceleration vector always points towards the center of the circle and is perpendicular to the velocity vector.

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Answer:

To find the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius, we need to know the size of the temperature interval between the ice point and the steam point, as well as the size of the temperature interval between the ice point and 75 degrees Celsius.

The size of the temperature interval between the ice point and the steam point can be calculated using the formula:

T = (S - I)/R

Where T is the size of the temperature interval, S is the length of the thermometric liquid above the steam point, I is the length of the thermometric liquid above the ice point, and R is the size of the temperature interval per unit length of the thermometric liquid.

Since the ice and steam points of the thermometer are 192mm apart, we know that S - I = 192mm. We also need to know the value of R in order to calculate T.

Once we know the size of the temperature interval between the ice point and the steam point, we can use this value to calculate the size of the temperature interval between the ice point and 75 degrees Celsius.

Let's assume that the size of the temperature interval per unit length of the thermometric liquid, R, is 0.5 degrees Celsius per millimeter. With this value of R, the size of the temperature interval between the ice point and the steam point can be calculated as follows:

T = (192mm - 0mm)/0.5 degrees Celsius/mm = 384 degrees Celsius

Now that we know the size of the temperature interval between the ice point and the steam point, we can use this value to calculate the size of the temperature interval between the ice point and 75 degrees Celsius.

The size of the temperature interval between the ice point and 75 degrees Celsius is 75 degrees Celsius - 0 degrees Celsius = 75 degrees Celsius.

We can now use the size of the temperature interval between the ice point and 75 degrees Celsius, along with the size of the temperature interval per unit length of the thermometric liquid, R, to calculate the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius:

I = (75 degrees Celsius)/(0.5 degrees Celsius/mm) = 150mm

Thus, the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius is 150mm.

The y-component of the vector is 4.97 m.

A vector is a quantity that has both magnitude and direction.

To calculate the y-component of the vector in the diagram above, we use the formula below.

Formula:

From the question,

Given:

Substitute these values into equation 1

Hence, the y-component of the vector is 4.97 m.

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Answer:

speed/time

Explanation:

Answer:

a= (Vf - Vi)

         t

To find acceleration (a) you need to subtract the finale velocity (Vf) minus the initial velocity (vi) divided by time (t) as shown in the equation above.

Answer:

Desalination is a process that takes away mineral components from saline water.

Explanation:

u welcome

Answer:

no the earth gravitational force field

Answer:

yes, it acts on everything within the earth

Explanation:

To calculate the pH of a hydrochloric acid solution with a molar concentration of 0.0045 M, we can use the following formula:

pH = -log[H+]

where [H+] is the concentration of hydrogen ions in the solution, which can be calculated from the dissociation of HCl:

HCl → H+ + Cl-

The molar concentration of H+ is equal to the molar concentration of HCl, which is 0.0045 M.

[H+] = 0.0045 M

Substituting this value into the pH formula, we get:

pH = -log(0.0045) ≈ 2.35

To calculate the pOH of the solution, we can use the relationship:

pH + pOH = 14

pOH = 14 - pH ≈ 11.65

Finally, we can use the relationship between pH, pOH, and the ion product constant of water (Kw) to calculate the concentration of hydroxide ions ([OH-]) in the solution:

Kw = [H+][OH-] = 1.0 × 10^-14 M^2

[OH-] = Kw / [H+] = (1.0 × 10^-14) / (0.0045) ≈ 2.22 × 10^-12 M

Therefore, the pH of the hydrochloric acid solution is approximately 2.35, the pOH is approximately 11.65, and the concentration of hydroxide ions is approximately 2.22 × 10^-12 M.

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The pH of the hydrochloric acid solution is approximately 2.35, the pOH is approximately 11.65, and the concentration of hydroxide ions is approximately \(2.22 \times 10^{-12} M\).

pH = -log[H+]

where [H+] is the concentration of hydrogen ions in the solution, which can be calculated from the dissociation of HCl:

HCl → H+ + Cl-

The molar concentration of H+ is equal to the molar concentration of HCl, which is 0.0045 M.

[H+] = 0.0045 M

Substituting this value into the pH formula, we get:

pH = -log(0.0045) ≈ 2.35

To calculate the pOH of the solution, we can use the relationship:

pH + pOH = 14

pOH = 14 - pH ≈ 11.65

Finally, we can use the relationship between pH, pOH, and the ion product constant of water (Kw) to calculate the concentration of hydroxide ions ([OH-]) in the solution:

\(Kw = [H+][OH-] = 1.0 \times 10^{-14} M^2\\[OH-] = Kw / [H+] = (1.0 \times 10^{-14}) / (0.0045) ≈ 2.22 \times 10^{-12} M\)

Therefore, the pH of the hydrochloric acid solution is approximately 2.35, the pOH is approximately 11.65, and the concentration of hydroxide ions is approximately \(2.22 \times 10^{-12} M\).

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The steps to follow are;

1) Explain the purpose of the experiment or the scientific principle that you will investigate.

You should just need one or two sentences for this.

2) Tell what you know about the scientific notion.

Simple labs may accomplish this in a paragraph after the learning context statement.

Complex labs may need additional background paragraphs.

This is further explained below.

Generally, The lab's goal, or the scientific concept, procedure, etc., that you will be investigating, should be stated.

You can probably get by with only one or two phrases.

You may begin your laboratory report by saying something like,

In conclusion, provide context for the scientific idea by explaining what you already know about it (the main references you can use are the lab manual, the textbook, lecture notes, and other sources recommended by the lab manual or lab instructor; in more advanced labs you may also be expected to cite the findings of previous scientific studies related to the lab).

This may usually be accomplished in a single paragraph after the first presentation of the lab's learning environment in more straightforward experiments.

However, more paragraphs may be needed to provide enough context for more involved laboratories.

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My primary mode of transportation is a car, and its energy efficiency is typically around 3 kW-hrs per 100 person-km.

As my primary mode of transportation, I rely on a car for commuting and traveling. While cars offer convenience and comfort, they are not the most energy-efficient option. On average, a car consumes approximately 3 kW-hrs of energy per 100 person-km. This energy consumption includes the fuel or electricity required to power the vehicle and accounts for the energy losses during the generation, distribution, and storage processes.

The energy efficiency of a car can vary depending on several factors, including the vehicle's make and model, driving conditions, and driving habits. Factors such as speed, acceleration, and braking can impact fuel consumption and efficiency. Additionally, the type of fuel or power source used by the car influences its energy efficiency. Electric vehicles (EVs) tend to have higher energy efficiency compared to traditional internal combustion engine (ICE) vehicles, as they convert a higher percentage of their energy into forward motion.

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Answer:

They generate electricity by contact.

Explanation:

The observation presented by the question above shows an example of electricity generated by the contact, which can also be called triboelectrification. This type of electricity is created when two objects made of different materials come into contact with each other, and that contact is interrupted soon afterwards, as occurs when someone, wearing woolen socks, walks over the carpet.

For triboelectrification to occur, it is necessary that at least one of the objects involved is electrically charged. This object, when in contact with another object, will transfer electrons carrying the neutral object, until the two objects have the same electrical potential. When interrupting the contact between the objects, the two are left with equal loads of energy.

The rope will Clancy have to pull to lift the air conditioner is 170m option (a) is correct.

We are given that,

F₁ = 1400 N

D₁ = 9.1 m

η = 68%;    η = 0.68

F₂ = 110 N

D₂ = ?

If the pulley system is perfectly functional then we can write as,

D₂'  = F₁·D₁  / F₂ = 1400·9.1 / 110 ≈ 115.8 m

If the code for the pulley system is 68% such as,

D₂ = D₂' / η = 115.8 / 0.68 ≈ 170 m

Option (a) is the correct answer since Clancy will need to pull a 170m rope to lift the air conditioner.

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Answer:

Full and New Moon

Explanation:

Answer:

The answer is a controlled variable stays the same throughout an experiment, but a responding variable changes

Explanation:

just did it on apex