Acellus
Perform the following
mathematical operation, and
report the answer to the correct
number of significant figures.
7.125 x 8.00 = [?]
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The plane's speed relative to the ground is 309.8 km/h.

Airspeed of the plane = 335 km/h

Speed of the wind toward the south = 80 km/h

The pilot should head in the direction,

OA= AB × cos θ

[tex]cos \: θ = \frac{OA}{AB}[/tex]

[tex] θ = cos ^{ - 1} (\frac{OA}{AB})[/tex]

[tex]cos \: θ = \frac{80}{335}[/tex]

θ = 75.5°

When the airspeed is 335 km/h the pilot must head 75.5° West or North.

The plane speed relative to the ground is,

OB = AB × sin θ

OB = 335 × sin (75.5°)

OB= 309.8 km/h

Therefore, the plane's speed relative to the ground is 309.8 km/h.

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Answer:

see attached table

Explanation:

1 km (kilometer) = 1000 m (meters)

1 m = 100 cm (centimeters)

1 cm = 10 mm (millimeters)

Going the other way
1 mm = 0.10 cm

1 cm =  0.01 m

1 m = 0.001 km

It is easier to find the values on both sides of the given value and then successively convert using the conversion ratios

The graph indicates given values in bold blue and conversions in normal font

Will explain two of these
Row 2: Given 1500 cm

1500 cm = 1500 x 10 = 15,000 mm

1500 cm = 1500  / 100  = 15 m

15 m = 15 m/ 1000  = 0.015 km

Row 5: Given 0.002 m
0.002 m = 0.002/1000 = 0.000002 km

0.002 m = 0.002 m x 100 = 0.2 cm

0.2 cm = 0.2 x 0 = 2 mm

and so on

The zone in the map that has the greatest amount of land area suitable for people to live is zone B.

The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.

The countries that are located close to the equator include the following:

Ecuador, Colombia,

From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.

The temperature of these areas are close to moderate through out the year.

The zone B also contains land mass that is part of the largest continent which is Asia.

Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.

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The symbol of the element Potassium is K, its proton number is 19, its atomic mass is 39, its electron number is 19 and finally Potassium belong to period 4 of the periodic table.

This is defined as a substance cannot be further broken down by any chemical reaction and examples include oxygen, nitrogen etc.

Potassium is an element and has an atomic number of 19 with a mass number of 39 and is present in period 4 in the periodic table.

For all atoms with no charge, the atomic number is equal to the number of proton. The number of proton is also equal to the number of electron which is why they all have the same value of 19.

Neutron = atomic mass - atomic number

                = 39 - 19 = 20

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The velocity of the car after acceleration is 80m/s.

To calculate the velocity of the car after acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the velocity of the car after acceleration is 80m/s.

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Answer:

P V = N R T           ideal gas formula

P2 V2 = N R T2

P1 V1 = N R T1

Dividing equations at constant pressure

V2 / V1 = T2 / T1 = 8       the volume would increase by a factor of 8

The average velocity between t=5 and t=5.3 262.4 m/s

The distance fallen s = 16t^2

The velocity v = [tex]\frac{d_{s} }{d_{t} }[/tex] = 32t

When we apply the values of t to the velocity v, we get

V1 = 32 x 8 = 256 m/s at time t = 8 seconds.

V2 = 32 x 8.4 at time 8.4 equals 268.8 m/s.

(V2 - V1)/2 = (268.8 + 256)/2 = 262.4 m/s is the average speed.

The concept of velocity refers to the rate and direction of motion of a point. For instance, the orientation of a circular path is always perpendicular to the line that connects a point to the centre of the circle. A point always advances down a route that is perpendicular to it (a radius).

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It is false that the objective lens is the lens at the top of the microscope that you view the specimen through.

The objective lens is not the lens at the top of the microscope through which you see the specimen; it is the eyepiece lens. The eyepiece lens is the lens at the top that you look through, and it normally has a 10x or 15x magnification. A tube connects them to the objective lenses. The objective lenses are the ones closest to the specimen being studied; they are placed right above the specimen due to their magnification powers, and they also produce the specimen's image. A microscope normally has three or four objective lenses, each with a power of 4x, 10x, 40x, or 100x.

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Answer:

920 kg / m^3 * .725 m^3 = 667 kg        = mass of ice

1000 kg / m^3 * .725 = 725 kg     maximum amount of water displaced

725 - 667 = 58 kg      maximum mass that ice can support

Note 58 * 2.2 = 128 lb    equating kg vs equivalent "weight" in lbs

The speed of 75 km/h expressed in:

To solve this problem the we have to convert the units with the given information.

Information about the problem:

By converting the velocity units from (km/h) to (m/s) we have:

v = 75 km/h * 1000 m/ 1km * 1 h/3600 s

v = 20.83 m/s

By converting the velocity units from (m/s) to (mi/h) we have:

v = 20.83 m/s * 1 mile/1609.34 m * 3600 s/ 1h

v = 46.59 mi/h

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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Vectors have magnitude and direction and scalars have only magnitude & have no direction .

Velocity of an object can be said as, the rate of change of displacement with respect to time of an object . Its unit is m/s and it is a vector quantity

V = Δx/Δt

In here , V is velocity ,  Δx is change in displacement and Δt is change in time of an object.

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If the time interval is doubled with the force kept constant, the impulse is also doubled.

The definition of force in physics is that force is any kind of push or pull  that is applied on a massed object changes its velocity.

An external force is a kind of agent that has the power to alter any type of resting or moving condition of a body. It has got its own direction and a magnitude.

One thing experiences a force from another. There are both living things and non-living objects included in the concept of force.

All objects, living and non-living, have the ability to exert a force on or against another item, as well as have their actions affected by forces.

Newton, or as it is abbreviated as N, is the SI unit of force. The meter and unit are the foundation units that pertain to force.

In physics, the term “impulse” is used to describe or quantify the impact of force acting gradually to alter an object’s momentum.

It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.

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The net force is 240 N.

We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as

R = F1 + F2 + ... + Fn

where R is force resultant (net force)

From the question above, we know that

F1 = 110 N

F2 = 130 N

The sled doesn't have friction force due to medium is frictionless.

Because the direction is the same, the force will add to each other.

R = F1 + F2

R = 110 + 130

R = 240 N

Hence, the net force is 240 N

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The height is 31.61 m of the building in which ball thrown horizontally.

Calculation :

x(t) = x₀ + v₀t +(1/2) a₀t²

once the ball is thrown it immediately starts falling

so h = (1/2)gt²   where g is the gravitational acceleration

t =d/v

d = 36 meters

v= 14.2 m/s

so t = 2.54 seconds

plugging t into h =(1/2)gt²

g = 9.8 m/sec²

h = (1/2)(9.8)(2.54)2 = 31.61 meters

What are components of motion?

What Are the Three Laws of Motion of Newton The Law of Inertia, the Law of Mass and Acceleration, and the Third Law of Motion are Newton's three laws of motion. A body in motion continues to move in a straight line whereas a body at rest stays in its state of rest unless some external force acts to change it.

The phenomenon of an item changing its location with respect to time is known as motion in physics. Mathematically, displacement, distance, velocity, acceleration, and speed are used to explain motion.

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If an Olympic competitor ran the 100-meter dash in 9.49 seconds, that would be faster than 37 kilometers per hour.

Speed is the overall distance an object travels in a given amount of time. It is solely based on the size of the moving object.

If an Olympic competitor ran the 100-meter dash in 9.49 seconds, as stated in the problem,

Speed  =100 / 9.49

             =10.53 meters / seconds

The speed of the athlete in kilometers/hr = 10.53×3600/1000

                                                                  =37.93 kilometers / hour

Thus, his speed would have exceeded 37 kilometers/hour during the race.

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The rationale underlying this hypothesis is that carrying the loads on the arms is dominated by passive dynamics.

The moment of inertia of the lower limb by passive dynamics.

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Answer:

The principle of energy conservation states that energy is neither created nor destroyed. It may transform from one type to another.

The distance around the rectangular field is 128.88 m.

Perimeter is the total distance around an object.

To calculate the perimeter/ total distance around the rectangular field, we us the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the distance around the rectangular field is 128.88 m.

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A ball is thrown down from a bridge at time t = 0 and strikes the water below. Assuming upward is the positive direction. The option D of the following graphs best shows the velocity of the ball after it is thrown.

Velocity is a term defines that a particles covered distance upward positively and downward negatively in a constant time. It is a vector quantity.

According to the question, assuming upward is the positive direction body is thrown downwards so there is an initial velocity in that particle who's velocity is downwards or negative in other words.

So we are using the law, v=u+at

Here we know u is negative from the above discussion and there is also a is negative. where a means the acceleration due to gravity. So it acting downwards so its also negative.

Now the equation becomes,

v=(-u)-at

Or, v=-u-at

So from the above discussion, we can assume that the graph would be like the option D of the question. which is downwards in nature.

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The velocity of the ball is 16.9 m/s at 0.53 seconds. The given velocity of 17 m/s is the moving/change in velocity and 0.53 seconds is the given time.

to find the velocity let's 1st find out the acceleration using the formula

a = Change in velocity/time

a = 32.07 m/s²

Velocity = acceleration X Time

Velociy = 32.07 X 0.53

= 16.99 m/s

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At x=1m point on the x-axis the electric field is zero when it is given by the expression v = ax - bx2, where a and b are constants.

We will use the formula V = k * q / r to get the electric potential at any place A due to a single point charge.

q stands for electrostatic charge, r for the separation between point charge and A, and k = 1 / 4 * * 0 for Coulomb's constant.

V = k × [q/r]

Where, V stands for potential electric energy. point charge = q R is the distance from any place near the charge to the charge site.

When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, often known as the electric field strength or electric field, expresses the size and direction of the electric field.

Ex = - dV/dx = -(a-2bx) = 0

solving for x, we have

x=a/2b = [2V/m] / 2(1V/m^2)

= 1m

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It is a work interaction because the electrons are crossing the system boundary, thus doing electrical work.

Work will be defined as intricate patterns of interpersonal communication amongst interdependent people. All interaction places restrictions on individuals involved while also allowing them to do things they otherwise would not be able to.

Verbal, bodily, phone, and written communication are the four basic methods used in the workplace. You always have to deal with at least one at any given time during the working day.

Beneficial relationships at work have been demonstrated to increase job satisfaction and have a positive impact on staff turnover since employees who feel supported by their coworkers are more likely to stay with a company over the long run (Hodson, 2004; Moynihan & Pandey, 2008).

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The wavelength released in transition energy is λ = 9.73 x 10¯⁸ m.

We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as

ΔE = E2 - E1

where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.

The state energy of a hydrogen atom can be calculated by

E = -(13.6) / n² eV

E = h.c / λ

where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.

From the question above, we know that

n1 = 4

n2 = 1

By substituting the following parameter, we get

ΔE = E2 - E1

ΔE = -(13.6) / n2² - (-(13.6) / n1²)

ΔE = -(13.6) / 4² - (-(13.6) / 1²)

ΔE = 13.6 - 0.85

ΔE = 12.75 eV

Calculate the wavelength released

ΔE = 12.75 eV

h.c / λ = 12.75

4.136 x 10¯¹⁵ . 3 x 10⁸ / λ = 12.75

λ = 9.73 x 10¯⁸ m

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The density of gold is 19.38 g/cm³.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

m = 15.7 grams

V = 0.81 cm³

By substituting the following parameters, we can calculate the density

ρ = m / V

ρ = 15.7 / 0.81

ρ = 19.38 g/cm³

Hence, the density of gold is 19.38 g/cm³.

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The thickness of the lead sheet that absorbs 99.69 % of the gamma rays is 4.497 cm.

The lead can absorb 90% of rays at the thickness =

1.10 cm

The intensity of the radiation is,

[tex]I = I _{0}e ^{ - ux} [/tex]

The coefficient of attenuation is

[tex]e ^{ - ux} = \frac{ I}{I _{0} }[/tex]

[tex] - ux = In \: ( \frac{ I}{I _{0} })[/tex]

[tex]= - \frac{1}{1.10} In \: (10)[/tex]

[tex] = \frac{1}{1.10} - In \: (0.1)[/tex]

= 0.667 cm—¹

The coefficient of attenuation is 0.667 cm—¹.

The thickness of the lead sheet that absorbs 99.69 % of the gamma rays is,

[tex]u = \frac{ - 1}{x}In \: \frac{ I}{I _{0} }[/tex]

[tex]0.667 = - \frac{1}{x} In(0.31)[/tex]

x = 4.497 I'm

Therefore, the thickness of the lead sheet that absorbs 99.69 % of the gamma rays is 4.497 cm.

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To consider the molecule in gas at rest, suppose a container of gas at rest.

We know that velocity is a vector quantity and it includes direction but speed is a scalar quantity and it does not include a direction.  

Although the molecules are moving around a lot, they are only moving around within the fixed walls of the container. As the container isn't moving (given), the net velocity of the gas molecules is zero. Think about their random movements as vectors, then think about adding up all those vectors over time. They cancel each other out over time. So, the average velocity of a molecule in gas at rest is zero.  

But it's only the directions that cancel each other out, which is why the average speed (ignoring direction) is non-zero.

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The momentum of the body is obtained as 10800 Kgm/s.

The momentum of the body could be obtained from the equation given as; p=mv

p = momentum

m = mass of the body

v = velocity

m = 1200-kilogram (kg)

v =  9 meters per second (m/s)

p = 1200-kilogram * 9 meters per second

p = 10800 Kgm/s

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Hyperbaric oxygen treatment includes inhaling pure oxygen in a pressured atmosphere. Hyperbaric oxygen therapy is a well-established treatment for decompression sickness, a possible complication of scuba diving. Other diseases treated with hyperbaric oxygen therapy include significant infections, air bubbles in your blood vessels, and wounds that may not heal as a result of diabetes or radiation harm.

Hyperbaric oxygen treatment is used to treat a variety of medical disorders. And it is used in a variety of ways by medical institutes. If you have any of the following conditions, your doctor may recommend hyperbaric oxygen therapy: Brain abscess, arterial gas embolism, burns, carbon monoxide poisoning, crushing injury, sudden deafness, decompression sickness, exceptional blood loss anemia, gangrene, infection of skin or bone that causes tissue death, nonhealing wounds, such as a diabetic foot ulcer, radiation injury, skin graft or skin flap at risk of tissue death, traumatic brain injury, sudden and painless vision loss.

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