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

Outer edge of a wheel of radius 0.650 m. the wheel rotates at a constant rate of 230 rev/min. The speed is 15.65 m/s.

The wheel is rotating at a rate of 230rev/min. Convert it into radians per seconds.

1 rev/min = 2πrad/60s

0.1047 rad/s

Now,

To calculate the angular velocity of the wheel rotating at a rate of 230rev/min.

ω=230rev/min × 0.1074 rad/s/rev/min

ω=24.081 rad/s

Now to find the speed

v=rω

where

r = 0.650

ω= 24.081 rad/s

Putting the values

v = 0.650× 24.081

v=15.65 m/s.

The speed is 15.65 m/s.

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(a) For 3.26sec long is the football in the air

(b) The football will land 39.24m far away

(c) The football will travel 13.01m high.

The vectors in x and y direction for football are as follows:

[tex]v_{y} = v_{o} sin53[/tex]

[tex]v_{y} = 15.97m/s[/tex]

[tex]v_{x} = v_{o} cos53[/tex]

[tex]v_{x} = 12.04m/s[/tex]

(a) According to equation of motion :

[tex]y = v_{y} t+\frac{1}{2} gt^{2}[/tex]

[tex]0 = (15.97)t+4.9t^{2}[/tex]

15.97 = 4.9t

t = 3.26seconds

Therefore, for 3.26sec long is the football in the air.

(b) Again using equation of motion:

[tex]x = v_{x} t[/tex]

x = 12.04 × 3.26

x = 39.24meters

Therefore, the football will land 39.24m far away.

(c) Dividing the time obtained in part (a) we get t = 1.63s

So, by using motion law we get,

[tex]y = v_{y} t+\frac{1}{2} gt^{2}[/tex]

[tex]y = (15.97)(1.63)+(4.9)(1.63)^{2}[/tex]

y = 13.01meters.

Therefore, the football will travel 13.01m high.

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The baseball with a speed of 89.0 mph, has 8.12 s in flight

The formulas for the downward vertical launch and the procedures we will use are:

Where:

Information about the problem:

Converting the velocity from mph to m/s, we have:

89 mil/h * (1609,34 m / 1 mil) * (1h / 3600 s) = 39.786 m/s

Applying the maximum time formula for a downward vertical launch, we get:

t max= v₀ / g

t max= 39.786 m/s / 9.8 m/s²

t max = 4.06 s

Applying  the time of flight formula, we get::

t(of) =2 * t max

t(of) =2 * 4.06 s

t(of) = 8.12 s

In physics vertical launch is the motion described by an object that has been launched vertically in which the acceleration is the earth's gravitational force.

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Explanation:

i hope you can understand my calligraphy :)

The acceleration of the bike is 2 m/s². The distance traveled during acceleration is 100 m. The total distance covered by bike is 700m.

The equations of motion can be described as the relationship between the acceleration (a), velocity, time (t), and displacement of a moving object.

The equations of motions can be demonstrated as follows:

[tex]v = u + at\\S = ut +(1/2)at^2\\v^2-u^2= 2aS[/tex]

Given, the initial speed of the bike, u = 0

The final speed of the bike, v = 40 m/s

The time takes to get this speed, t = 20 s

v = u + at

40 = 0 + a(20)

a = 2 m/s²

The distance traveled during acceleration, v²- u²= 2aS

(20)² - (0) = 2 ×2 ×S

S = 100 m

The total distance covered by the bike:

For the next 15 seconds, Distance = v ×t = 40 × 15 = 600 m

The total distance covered by bike = 100 + 600 = 700 m

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The symbol of the element Iron is Fe, its proton number is 26, its atomic mass is 56, its electron number is 26  and finally Iron 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.

Iron is an element and has an atomic number of 26 with a mass number of 56 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 26.

Neutron = atomic mass - atomic number

                = 56 - 26 = 30

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The smallest unit of matter that retain all of the physical properties  is Atom.

The smallest component of ordinary stuff that makes up a chemical element is an atom. Atoms that are neutral or ionised make up every solid, liquid, gas, and form of plasma. Atoms are very tiny, measuring approximately 100 picometers across.

A chemical element is uniquely defined by its atoms, which are tiny pieces of substance. An atom is made up of a core nucleus and one or more negatively charged electrons that orbit it. The positively charged, comparatively hefty protons and neutrons that make up the nucleus may be present.

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Answer:it can blind you

Explanation:

when magnesium reacts with oxygen it creats a light bright enough to blind you

The cannonball will be in the air a time of: 3.6421 s

The horizontal launch formula we will use and the procedure is:

t = √((2 * h) / g)

Where:

Information about the problem:

Applying the time formula we have:

t = √((2 * h) / g)

t = √((2 * 65 m) / 9.8 m/s²)

t = √(130 m / 9.8 m/s²)

t = √(13.2653 s²)

t = 3.6421 s

Is the motion described by an object that has been thrown horizontally with no angle of inclination at a certain height and considers the effect that the force of the earth's gravity has on the thrown object.

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The speed of the block at points just before and just after the midpoint and the time its takes the block to travel between them.

The rate at which speed and direction of movement change over time is referred to as acceleration. When something moves faster or slower, it is said to be accelerating. Motion on a circle increases even while the speed is constant because the vector is always changing.

According to Newton's second law of motion, an object's acceleration is equal to the net force applied to it divided by its mass, or a = F m. Given an object's mass and the net pressure exerted on it, one can use this acceleration equation to calculate its acceleration.

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Answer:

increasing the speed o

Explanation:

direction change

The graph which shows the position of the object at a particular time is called a position-time graph. The position of the object is increasing with time.

The graph which shows the position of the object at a particular time is called a position time graph.

In the given graph, The position of the object in the 1st minute was 50 m, and the position of the object in the 3rd minute was between 50 to 100. The position of the object at the 5th minute was in the range of 100 to 150 m.

The position-time graph shows the velocity of the object. The slope of the object gives the location of the object.

There are two types of graphs such as straight line graphs and curve graphs. If the graph is curved it is showing the slope of the object keeps on changing.

Therefore, The graph which shows the position of the object at a particular time is called the position-time graph. The position of the object is increasing with time.

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the magnitude of the net vertical force (including the effects of gravity) on the airplane is  = 10491.2 N

Magnitude of net vertical force on airplane

= 68 × 16.2 m³/s

volume of air under the surface

= 58 × 16.2 m³/s

total upward thrust by air

=[ 68 + 58 ] × 16.2 m³ /s× 1.20 kg/m³ × 9.81

= 24029 N

Weight =1380 × 9.81

            =13537.8

the magnitude of the net vertical force (including the effects of gravity) on the airplane

                                             = 24029 - 13537.8

                                                  = 10491.2 N

The net force is the vector sum of all the forces that react on  an object. That is to say, the net force is the total  sum of all the forces, taking into account the fact that a force is a vector and two forces of same  magnitude and opposite direction will cancel each other out

In mechanics, the web force is the vector sum of forces acting on a particle or object. the web force is a single force that replaces the effect of the original forces on the particle's motion. It gives the particle the identical acceleration as all those actual forces together as described by Newton's second law of motion.

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resolved for the constant speed as the ratio of distance and time. We have B as the speed, the, as the distance at the at the time it is given that the bus leaves easter and other exactly six o'clock in the morning In Travis at a constant speed of 54.3 mph to Austin, which is located at a distance of 190 miles away. We want to find the arrival time. So first is that satisfying the time of travel to suffer the time from the given equation. And we have B equals distance divided by the speed. The distance is 190 miles and the speed is 54.3 mph. We get time here in terms of R. S. S 3.5, So it takes three hours and three hours and 30 minutes to travel, he said distance. So if it's if the bus departs at the at the time of six of clubs, So three hours and 30 minutes after that, it will arrive to Austin. So that means the arrival time will be nine 30 in the morning, So that's three hours and 20 minutes. Oh, after six o'clock. So I hope everything is clear.

Answer: People may not sweat excessively because of the hypertension or higher blood pressure than 120/80 mm Hg. They are not directly related. It is possible that they get exhausted quicker than others, or they have anxiety (nervousness) and hence they sweat more. Normally excessive sweating comes from excessive activity from thyroid or pituitary glands.

A solution's concentration is a measure of how much solute has been dissolved in a given quantity of solvent or solution. A concentrated solution contains a significant amount of dissolved solute. In other words, it is the number of moles per unit volume of a solution. The standard unit for concentration is Molar or mol/dm3.

Given that:

Mass = x?

molar mass = 122.12

density = 1.27 g/ml

concentration = 100 mM = 0.1 M

volume = 250 ml

Since n = cv

And n = mass/ molar mass

Therefore,

mass/molar mass =concentration * volume

x/122.12 = 0.1 * 250

X = 3,053g

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The independent events are given below for the outcome provided :

P (A|B) = 0.76

P(B|A) = 0.76

P(A and B ) = 0.2356

P(A or B)   = 0.2356

If A and B are independent, then knowing A doesn't give you any additional information about B and vice versa. Mathematically, this relationship are often represented with the two equations P(A|B) = P(B) and P(B|A)=P(B), as long as A and B are independent. differently to state this is that, no matter B, P(A) doesn't change, or A doesn't depend on B.

To (randomly) throw the primary dart into circle A and the second dart into circle B, you've got to get lucky on two separate occasions.

When throwing the primary dart, your chance of throwing it randomly into circle A is P(A). When throwing the second dart, your chance of throwing it randomly into circle B is P(B). Because the 2 are independent, the multiplication rule, which is usually P(A and B) = P(A|B) * P(B) can be simplified to P(A and B) = P(A) * P(B).

To (randomly) throw darts into either circle, you get two tries, once with A and once with B.

It’s possible that both darts land during a circle. Therefore, the overall addition rule holds, so P(A or B) = P(A) + P(B) - P(A and B).

Given the formulas italicized, you'll plug in your values for P(A) and P(B) to find the other probabilities:

P(A) = 0.31

P(B) = 0.76

P(A|B) = P(B)

P (A|B) = 0.76

P(B|A)=P(B)

P(B|A) = 0.76

P(A and B) = P(A) * P(B)

P(A and B ) = 0.31 ×0.76

                    = 0.2356

P(A or B) = P(A) + P(B) - P(A and B)

                 = 0.31 + 0.76 - 0.45

                 = 0.65  

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An object is dropped from a roof of a building of height h, the height of the building is 145.5 m.

It is given that

[tex]y_{last}[/tex]= h/3

[tex]t_{last}[/tex]= 1s

g= 9.8 m[tex]s^{-2}[/tex]

In first stage,

t1= (t-1)s  y1 = 2h/3

vi1 = 0

according to the kinematic equation,

y1= v1t1 + 1/2 g[tex]t1^{2}[/tex]

then substituting all the values, we have

2h/3 = 1/2(9.8)[tex](t-1)^{2}[/tex]

⇒ h = 7.35[tex](t-1)^{2}[/tex] → 1

Then the final velocity can be calculated by

vf1=[tex]vi^{2}[/tex]+ g(t - 1)

vf1= 9.8(t - 1)

In the second stage,

t2= 1s

y2= h/3

g=9.5 m[tex]s^{-2}[/tex]

vi2 = vf1 = 9.8(t - 1)

Acoording to kinematic equation,

y2 = vi2 t2 + 0.5g[tex]t1^{2}[/tex]

substituting the values,

h/3 = 9.8(t - 1) + 4.9

⇒ h= 29.4(t - 1) + 14.7 → 2

From equation 1 and 2, we get,

7.35[tex](t-1)^{2}[/tex] = 29.4(t - 1) + 14.7

if we assume (t-1) = R, we get

7.35[tex]R^{2}[/tex] - 29.4R - 14.7 =0

⇒R = 4.45

t = R+1 = 5.45s

substituting the value of t in equation 1, we have

h= 7.35[tex](4.45)^{2}[/tex] = 145.5m

Thus, the height of the building is 145.5m.

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The initial velocity of the airplane is 258.3 m/s and then final velocity of the airplane is 408.3 m/s.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves.

The final velocity, on the other hand, is a vector number that gauges a moving body’s speed and direction after it has reached its maximum acceleration.

According to laws of motion,

x = Vi*t = 1/2 at^2

Substituting all the values we have,

10^4 = vi (30) + 0.5(5)(30)

Simplifying it,

Vi = 258.3 m/s

According to motion equations,

Vf = Vi + at

Substituting all the values,

Vf = 258.3 + (30)(5)

Vf = 408.3 m/s

So, we have Initial velocity = 258.3 m/s and final velocity = 408.3 m/s

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The answers are attached in the file.

Hope this helps :)

The acceleration of the electric car if it takes 1 s for this car to accelerate from 7 m/s to 25 m/s is 18 m/s².

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well.

Given:

The initial speed of the electric car, u = 7 m/s,

The final speed of the electric car, v = 25 m/s,

Time taken, t = 1 sec,

Calculate the acceleration as shown below,

Acceleration = Final speed - Initial speed / time

Acceleration = 25 - 7 / 1

Acceleration = 18 / 1

Acceleration =  18

Thus, the acceleration of the car is 18 m/s².

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The heavy end of a 68.0-cm long bat would be at 17cm far from  its center of gravity.

The location where an object's weight is equally distributed on all sides is known as its center of gravity. For all practical purposes, the behavior would be almost unchanged if you substitute a point mass for the body at the center of gravity. The stability of an object is intimately related to its center of gravity.

We can solve finding if the center of gravity is at one-fourth the bat's length if [tex]c_{g} = \frac{1}{4} L[/tex]

where L = length of bat

[tex]c_{g} =\frac{1}{4} (68.0)[/tex]

[tex]c_{g} = 17cm[/tex]

Therefore, the heavy end of a 68.0-cm long bat would be at 17cm far from  its center of gravity.

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The standard molar entropies at 298 K is

S°Ammonia < S°Nitrogen trifluoride.

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The tension in the rope which a climber, that has a mass of 51 kg, is hang motionless is 499.8 N

The tension formula and the procedure we will use is:

T = m * g

Where:

Information of the problem:

Knowing that the body is in equilibrium the tension of the rope is equal to the gravity force. Applying the tension formula and substituting values we have:

T = Fg

Fg = m * g

Fg = 51 kg * 9.8 m/s²

Fg = 499.8 N

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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It can be misinterpreted as a "cookbook" recipe for performing scientific investigations.

Through testing and experimentation, the scientific method is established through an unbiased manner.

The fundamental steps in these findings are Making an observation, formulating a hypothesis, making a prediction, carrying out an experiment, and then evaluating the findings.

There are limitations to the scientific process. Only quantitative data from observable, quantifiable, and repeatable experiments can it provide objective answers to questions.

It cannot provide an objective response to queries based on personal convictions or preferences, such as whether there are ghosts or deities present or who makes the finest doughnut.

The presence of any supernatural being or God cannot be established or disproven by science. Sometimes, attempts to provide a hand using scientific concepts.

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Answer: time is inversely proportional to acceleration and free-falling bodies have acceleration.

Explanation:

according to the first equation of motion ;

a=V-v/t

where V is the final velocity and v is the initial velocity. putting the value of a as g we get;

g=V-v/t

shows the relation of g and t(gravitational acceleration and time) of free-falling bodies.

The force on the car is 1×10^5 N.

The work-energy theorem states that when a force displaces a body, the change in kinetic energy of the body is measured. Conversely, when an opposing force is applied to a body, the kinetic energy of the body decreases by the same amount. It loses kinetic energy. The bodies' loss of kinetic energy is equivalent to the labor they put into resisting the opposing force.

mass of the car, m = 2000 kg

the velocity of car  , v = 20 m/s

distance traveled, s = 4 m

let the force on the car be F

using work-energy theorem

[tex]F\times s\times cos(180) = 0.5 \times m \times ( 0 - v^2)[/tex]

[tex]F \times 4 \times(-1) = 0.5\times 2000 \times ( 0 - 20^2)[/tex]

solving for F

[tex]F = 1 \times 10^5 N[/tex]

the force on the car is [tex]1 \times 10^5 N.[/tex]

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45.90kg mass of sucrose, would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of KCl.

We can obtain the freezing point of solution using:

Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

[tex]m = \frac{moles}{volume of solvent in kg}[/tex]

[tex]m = \frac{mass/molarmass}{0.2}[/tex]

[tex]m = \frac{5/74.55}{0.2}[/tex]

m = 0.3353moles/kg

Now, Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

Δ[tex]T_{f}[/tex] = 2 × (-1.86) × 0.3353

Δ[tex]T_{f}[/tex] = -1.2473°C

Now, for obtaining mass of sucrose , using the same formula of freezing point we get:

Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

-1.2473 = 1 × (-1.86) × [tex]\frac{mass/342.3}{0.2}[/tex]

-1.2473 = -1.86 × [tex]\frac{mass/342.3}{0.2}[/tex]

-1.2473 = -1.86 × [tex]\frac{mass}{68.46}[/tex]

mass = 45.90kg

Therefore, 45.90kg mass of sucrose, would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of KCl.

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Percentage of the mechanical energy of the oscillator is lost in each cycle is 8%

The mechanical energy can be written as the maximum kinetic energy. Hence,

E=Kmax

=12mv²

|\E=12mA²ω² .........(i)

On differentiating, we get

/dE=mAω²dA…. /(ii)

Dividing eq.(ii)by equation(i), we get

dEE(mechanical energy) =mAω²dA (1/2) mA²ω²

=2dAA

=2(4.0%)

=8.0%

The difference between the mean or equilibrium position and either extreme is the oscillation's amplitude. The particle oscillates completely back and forth from its mean position

Mechanical energy is the energy that is obtained by the things that do the work. The energy that an object possesses as a result of its motion or position is known as mechanical energy. Kinetic energy, or the energy of motion, and potential energy are two types of mechanical energy (stored energy of position)

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in order of increasing wavelength gamma rays <UV light,<Microwaves

We need to describe the relationship for electromagnetic wave ordering that is provided by:

Light travels at a speed of c=*v. The wavelength and frequency of the waves are and, respectively.

Then, since we are aware that the gamma ray (1018 1/s) has the highest frequency of these radiations and the microwave (108 1/s) has the lowest, we may say:

The ultraviolet spectrum is placed between microwave and gamma radiation at frequencies of 1016 1/s.

We can arrange these radiations from short to long wavelengths in the following manner:

gamma rays <UV light,<Microwaves

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Horizontal component of initial velocity = Vx = Cosθ x 18.75m/s

An object that is given an initial velocity and then affected by gravity is referred to as a projectile. These effects determine the course that the object takes. The object's trajectory is what we refer to as. A projectile's trajectory is determined by velocity in two dimensions. The projectile's x and y components each represent its horizontal and vertical motion, respectively. Meters are the units used to indicate both horizontal and vertical distances (m). Meters per second (m/s) is the unit used to express the horizontal and vertical velocities.

A projectile is in freefall once it has started moving. Gravity's downward acceleration is the sole acceleration that is having an effect on it. The magnitude of the acceleration caused by gravity (on Earth) is

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The volume occupied of  a particular kind of glass with a density of 2.40 g/cm^3l and a mass of  34.82 g is: 14.508 cm^3

The density formula and the procedure we will use is:

d = m/v

Where:

Information about the problem:

Applying the density formula and clearing the volume we get:

d = m/v

v = m/ d

v = 34.82 g/2.40 g/cm^3

v = 14.508 cm^3

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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By the half-life of radioactive, the remaining mass of radioactive elements is 4.42 grams.

We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation

N = No(1/2)^(t/t'')

where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.

From the question above, we know that

t'' = 10 years

No = 200 g

t = 55 years

Calculate the remaining mass

N = No(1/2)^(t/t'')

N = 200(1/2)^(55/10)

N = 4.42 grams

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