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Determine the force required to accelerate a 2-kilogram ball to an acceleration of 9.8 m/s2


Determine the acceleration of a 2-kilogram ball if a force of 25 newtons is applied

Distillation separates substances based on particle size.

When two chemicals with various boiling points are together, they are separated via distillation. Distillation cannot be used for two substances with the same boiling points since they both evaporate and accumulate in the condensation tube together if their boiling points are the same.

Due to the enhanced potential for liquid condensation offered by a fractionating column, fractional distillation is more effective than simple distillation. The vapour can clash and lose energy on a wide surface area in a fractionating column filled with glass beads or glass helices, which enables fast condensing and distillation of the mixture.

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Distillation separates substances based on particle size.

Distillation separates substances based on particle size. Uses boiling points to separate different liquids separates substances based on particle size causes a chemical change is the best method for separating a solid and a liquid. When two chemicals with various boiling points are together, they are separated via distillation. Distillation cannot be used for two substances with the same boiling points since they both evaporate and accumulate in the condensation tube together if their boiling points are the same. Condensation is a process in which the gas is changed into a liquid form without the form of any other that we can study. condensation also takes place in water cycle when the cloud starts to vaporize and it condenses into rain and we see it as the water which is condensing from the cloud. it only occurs in the cold temperature and we see it then.

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Jupiter and Saturn are mostly made up of hydrogen and helium. Uranus and Neptune both have hydrogen, but they also have more "ices" of carbon, oxygen, and nitrogen.

Jupiter and Saturn's atmospheres are almost exclusively comprised of hydrogen and helium, while there is some evidence that they include hydrogen compounds. Uranus and Neptune are mostly composed of hydrogen compounds, with minor amounts of hydrogen, helium, metal, and rock.

Uranus has a duller look than Neptune and is typically cloudless. Neptune's atmosphere features darker bands than Uranus', as well as streaks and wisps of white clouds and a big "black patch."

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Answer:

1) (0,0,10)

2) 10

3) 0.707

Explanation:

1) Given the x,y, and z magnitudes of both T and U, we find V by using the cross product: c = (ay*bz - az*by)i^ + (az*bx - ax*bz)j^ + (ax*by - ay*bx)k^

(i^ = "i hat" etc. sry to confuse)

in this case, I used a=T, b=U, and c=V:

V = (Ty*Uz - Tz*Uy)i^ + (Tz*Ux - Tx*Uz)j^ + (Tx*Uy - Ty*Ux)k^

Now plug in values:

V = (1*0 - 0*4)i^ + (0*2 - 3*0)j^ + (3*4 - 1*2)k^

V = 0i^ + 0j^ + 10k^

These are your components.

2) To get the magnitude of V, you add up the vector components:

sqrt( 0^2 + 0^2 + 10^2)

sqrt(100) = 10

Note: because they are vectors, you must use vector addition with the square root. (do NOT simply add 0 + 0 + 10 = 10.)

3) Lastly it asks for sin(theta), so we can use the equation of:

c = a*b*sin(theta)

Again I input c = V, a = T, b = U:

V = T*U*sin(theta)

Isolate sin(theta) on one side:

sin(theta) = V/(T*U)

To get just T or U, do vector addition once more for their x,y, and z components:

T = Tx + Ty + Tz = sqrt( 3^2 + 1^2 + 0^2) = sqrt( 9 + 1 + 0) = 3.162

U = Ux + Uy + Uz = sqrt( 2^2 + 4^2 + 0^2) = sqrt (4 + 16 + 0) = 4.472

Plug in values:

sin(theta) = V/(T*U) = 10/(3.162*4.472) = 0.707

Option (A) is correct ,if your vehicle breaks down on the road, the first thing to do is warn other motorists

A vehicle is a piece of equipment used to move people or goods. Wagons, bicycles, motorized, railroad, watercraft, amphibious, aircraft, and spacecraft are examples of vehicles.

Why are automobiles so crucial? The private automobile has changed modern civilization for more than a century by enabling freedom and independence of movement. Due to the growing distances between places like house, workplace, academic facilities, shopping malls, and recreational facilities, transportation is becoming ever more crucial.

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Answer: Potential energy is the stored energy in any object or system by virtue of its position or arrangement of parts. However, it isn't affected by the environment outside of the object or system, such as air or height. On the other hand, kinetic energy is the energy of an object or a system's particles in motion.

In projectiles, the horizontal and vertical motions are independent, meaning they do not affect each other.

The figure compares a free-falling shell (in blue) with a shell launched horizontally in projectile motion (in red). You can see that the free-falling cannonball falls at the same speed as the projectile's moving cannonball. Keep in mind that if a cannon launches a ball with any vertical component to velocity, the vertical displacements will not be perfectly aligned.

Projectile motion is the motion of objects that are thrown (projected) into the air. After the initial triggering force, the object experiences only gravity. The object is called the projectile and its path is called air resistance. When an object moves through the air, it experiences a frictional force that slows its motion, which is called drag. Drag significantly changes the air resistance of motion but is ignored in introductory spectacles due to computational difficulties.

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Answer:

A) 20m/s

Explanation:

v= wavelength*frequency

You have a wavelength of 4m and a frequency of 5, so you just multiply 4*5=20 v= 20m/s

The first chronometer was not very accurate, as it had an error rate of up to 15 minutes a day. However, it was still a major advancement in maritime navigation as it improved the accuracy of longitude determination substantially compared to the methods that were used before.

The invention of the first chronometer in the 18th century was a major milestone in the history of maritime navigation. The chronometer was a type of clock that was designed to be used onboard ships in order to accurately measure longitude. It was a major improvement over the methods that were used before, as it had an error rate of only 15 minutes per day. This meant that navigators could much more accurately determine their position at sea, which was critical for safe navigation.

The chronometer allowed for a much more precise determination of longitude than was previously possible. Before its invention, the best method of determining longitude was based on lunar observations, which was still highly inaccurate. With the chronometer, navigators could now determine their longitude within minutes rather than hours. This greatly increased the safety and efficiency of maritime travel.

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Answer:

115 J (100 J if following significant rule)

Explanation:

We can find the kinetic energy by applying the formula:

[tex] \displaystyle{ \text{ KE} = \dfrac{1}{2}mv^2}[/tex]

m is mass and v is velocity. Therefore, substitute in the formula:

[tex] \displaystyle{ \text{ KE} = \dfrac{1}{2} \times 72.62 \times {1.78}^{2} } \\ \\ \displaystyle{ \text{ KE} = \dfrac{1}{2} \times 72.62 \times 3.17} \\ \\ \displaystyle{ \text{ KE} \approx 115 \: \text{J}}[/tex]

If following the significant rule, it'd be 100 J but 115 J is more appropriate.

The stated statement states that the right options are to discover the lowest and highest kilometers per hour.

Its speed is the rate in which an object's position shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a numeric number since it just has a path and no magnitude.

Methods for determining the fastest cruising velocity.

Speed = Distance / Time = kilometers per hour

Consequently, Find the speed that is least in kilometers per hour.

The highest speed in kilometers per hour.

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The complete question is-

Lebron is comparing flights departing from Minneapolis. Which 2 ways could Lebron find the flight with the fastest average speed? Choose 2 answers:

A). Find the least kilometers per hour

B). Find the greatest kilometers per hour

C). Find the least minutes per kilometers

D). Find the greatest minutes per kilometers

The direction of the magnetic force that this solenoid exerts on the bar magnet is determined by the relative positions of the north and south poles of the two magnets.

If the north pole of the solenoid is closer to the north pole of the bar magnet, then the force will be attractive and the two magnets will be drawn together. If the south pole of the solenoid is closer to the north pole of the bar magnet, then the force will be repulsive and the two magnets will be pushed away.

This is due to the fact that like poles repel each other, so the south pole of the solenoid will be repelled by the north pole of the bar magnet.

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A radio wave is traveling in the negative y-direction while the magnetic field B is in the positive x-direction. Therefore, the electric field E is in the negative z-direction or  −z-direction (option F)

The Poynting vector or the energy flux of the radio wave is given by:

S = (1/μo) E x B

Where:

μo = the permeability of the medium through which electromagnetic wave passes

E = electric field

B = magnetic field

The directions of the vectors follows the right hand rules, as depicted in the attached picture.

In the given case, S or E x B is travelling in the negative y-direction.

The magnetic field B is in the positive x-direction. Hence, using the right hand rule, the direction of electric field E is in the negative z direction, or in the −z-direction (option F)

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Based on the free-body diagram, the x component of the acceleration is  -0.7 m/s² and the y component is 0 m/s²

According to the Newton second law of motion:

∑F = ma

Where:

∑F = net force

m = mass of the object

a = acceleration

The force acted on an object can be divided into its x-y components.

In the given problem,  mass of the object = m = 2.8 kg

a)  ∑Fx = 2 - 4 = -2  (in negative x direction)

Hence,

ax =  ∑Fx /m = -2/2.8 = -0.7 m/s²

b) ∑Fy = 3 - 3 = 0

Hence,

ay =  ∑Fy /m = 0/2.8 = 0 m/s²

The picture in your question is missing, but most probably it was on the attached picture. There was typo in your question, most likely it was:

In each of the two free body diagrams the forces are acting on an 2.8 kg object. (a). Find the value of a subscript x, the x component of the acceleration in diagram

(b). Find the value of a subscript y, the y component of the acceleration in diagram

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The magnitude of the net horizontal force is 74 N and the direction of the net horizontal force will be on the right side.

The force by the right side = 182 N

The force by the left side = 108 N

The magnitude of the net horizontal force can be found using the formula,

           F = F₁ - F₂

where F is the net force

           F₁ is the force on the right side

           F₂ is the force on the left side

Let us substitute the known values in the above equation, we get

         F = 182 - 108

            = 74 N

The force by the right side is greater than the force by the left side, thus, the direction of the net horizontal force will be on the right side.

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This boulder, known as Balanced Rock, is perched atop a tiny rock spike in an Idaho canyon. The pedestal and the rock's Center of Mass align. As it approaches the pedestal, the FN (Normal Force) pushes it down.

In astronomy and astrophysics, the center of mass, often known as the barycenter, is a crucial concept. The center of mass where two or more celestial bodies orbit one another is known as the barycenter, which is the space between two objects where they balance one another.

Over the course of millions of years, wind and water are assumed to have created Balanced Rock. It is a rhyolite lava formation that resulted from volcanic activity around 15 million years ago. Specifically, before it migrated eastward, the Yellowstone Volcano was located here.

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The density function of a 2-m rod is 3/ (5 x) grams per cubic centimeter at distance x, measured in meters, from the left-hand endpoint. The total mass of the rod is 28.5 gram

The formula of mass as a function of density is:

m = ρ . V

Where:

ρ = density

V = volume

m = mass

In the given problem, since the density is not constant but a function of distance x, then:

dm = ρ(x) . A dx

Where:

ρ(x) = 3/(5 + x)

A = 1/4 πd²   ( d = diameter of rod's cross section)

A = 1/4 (3.14) (6)² = 28.26 cm²

Hence,

dm = 28.26 × 3/(5 + x) dx

dm = 84.78 / (5 + x) dx

Take the integral:

∫dm = ∫ 84.78 / (5 + x) dx

m = 84.78ln (5+x) + C

Evaluate the integral from 0 - 2 meters. Note that in the density function,  x is measured in meters while the unit of density function is already in gram per cubic centimeters. Hence, no need to convert it to cm.

m = 84.78 [ln(5+2) - ln(5+0)]

   = 84.78 [ln(7) - ln(5)]

   = 28.5 gram

There was a typo in your question, most probably your question was:

A two meter long rod of uniform diameter 6 cm has density 3/ (5 + x) grams per cubic centimeter at distance x, measured in meters, from the left-hand endpoint. Find the total mass of the rod

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The weather is affected by:

The amounts or characteristics of the weather that are frequently measured are known as its elements.

The six major elements of the weather are temperature, air pressure, wind, humidity, precipitation, and cloudiness. The amount of water vapour in the air at any one time is called the humidity. Humidity is influenced by the target system's temperature and pressure.

hence, the correct options are: Humidity, Wind speed and direction, Temperature, Air Pressure.

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If the vectors v⃗ 1 and v⃗ 2 are parallel, the v⃗ 1* v⃗ 2 is v1v2.

A vector refers to a quantity or phenomenon that is characterized by two independent properties: magnitude and direction. The dot product of two vectors gives a scaler value and is equal to the magnitude of first vector multiplied by magnitude of second vector multiplied by the cosine angle between the two vectors. It is given by:

v⃗ 1* v⃗ 2 = │v⃗ 1│*│v⃗ 2 │cos Ɵ

If the two vectors are parallel, the Ɵ = 0, hence

v⃗ 1* v⃗ 2 = │v⃗ 1│*│v⃗ 2 │cos 0 = v1*v2*1 = v1v2

Note: The question is incomplete. The complete question probably is: If v⃗ 1 and v⃗ 2 are parallel, find v⃗ 1* v⃗ 2, express your answer in terms of v1 and v2.

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The value of the current through each of the elements is 5A, 5A, 2.5 A respectively.

The power check is a method used to ensure that the power is conserved in a circuit. The power check involves verifying that the power supplied to the circuit is equal to the power consumed by the circuit. This can be done by calculating the power supplied by each voltage source and the power consumed by each element in the circuit, and then ensuring that the sum of the power supplied is equal to the sum of the power consumed. In order to perform the power check for the circuit shown in Figure 3, we need to know the voltage and power values for each element as well as the current directions. From the Table 1:

Voltage source 1: V1 = 10 V, P1 = -20 W

Voltage source 2: V2 = 15 V, P2 = -30 W

Element 1: R1 = 2 Ohms, P1 = 20 W

Element 2: R2 = 3 Ohms, P2 = 45 W

Element 3: R3 = 4 Ohms, P3 = 40 W

The power check can be performed by:

P_supplied = P1 + P2 = -20 W + -30 W = -50 W

P_consumed = P1 + P2 + P3 = 20 W + 45 W + 40 W = 105 W

P_supplied = P_consumed

The interconnection of the elements satisfies the power check as the power supplied by the voltage sources is equal to the power consumed by the elements in the circuit. The current flowing through each element can be calculated by using Ohm's Law, which states that the current flowing through a resistor is equal to the voltage across the resistor divided by the resistance.

The current flowing through R1 is: I1 = V1/R1 = 10 V / 2 Ohms = 5 A

The current flowing through R2 is: I2 = V2/R2 = 15 V / 3 Ohms = 5 A

The current flowing through R3 is: I3 = V3/R3 = (V2-V1) / R3 = (15 V - 10 V) / 4 Ohms = 2.5 A

It is important to note that the current direction is given by the figure and the power values are given in the table, so you have to check the signs of the power values to see if they are positive or negative.

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To increase an objects gravitational potential energy: Raise the object farther off the ground.

As the gravitational potential energy is directly proportional to the height of the object from ground. Therefore, to increase the gravitational potential energy, object should be raised higher. Higher is the object, more is the gravitational potential energy.

As work is defined as force times displacement, so more height means more displacement, and this equals more work being done by the gravitational force. Hence, we say that gravitational potential energy increases with increase in distance from the Earth.

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Answer:

The answer is indeed c. .65

The velocity for mass of 60 kg is 99.6 m/s and for mass of 90 kg is 122 m/s.

The displacement that an object or particle experiences concerning respect to time are expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).

The pace at which a body's distance changes about time is referred to as its velocity. Its SI equivalent is m/s.

Given:-

Mass (m1) = 60kg

Mass (m2) = 90kg

Assumption:

ρ(air) = 1.21 kg/m^3

Pike position so assume A = 0.14 m^2

Pike position so assume C = 0.7

The terminal velocity [tex]V_T= \sqrt{\frac{2mg}{ρ(air)*C*A} }[/tex]

For 60kg,

[tex]V_T= \sqrt{\frac{2*60*9.80}{1.12*0.7*0.14} }[/tex]

[tex]V_T=99.6m/s[/tex]

For 90kg,

[tex]V_T= \sqrt{\frac{2*90*9.80}{1.12*0.7*0.14} }[/tex]

[tex]V_T=122m/s[/tex]

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Answer:

Below

Explanation:

Heat  capacity has units of  J / g °C

               if  g  of the two samples are equal , for comparison , this can

                  be reduced to   J / °C

sqec heat = J/°C  

or re-arranging :

J / spec heat    = °C    

   now if spec heat 1 > spec heat 2

              then adding the same J will cause less temp rise in 1 than in 2

Example :   adding 100 J of heat to each sample ....    and say,

specheat 1 = 4          and     specheat2 = 2

   J / specheat 1 = C

   100 / 4 = 25 ° C    Temp change                      

  J /specheat 2 =

   100 / 2 = 50     <===== so smaller spec heat results in higher ° C change

The magnitude of the net force acting on the kayak is 107.8 N.

Starting with a stationary kayak, the combined mass of the kayak and the person inside is 73 kg. After 0.41 m of paddling, the kayak accelerates to a speed of 0.60 m/s.

Using Newton's second law, we can calculate the magnitude of the net force acting on the kayak.

The equation for net force is F=ma, where F is the net force, m is the mass of the kayak and person, and a is the acceleration.

We know that m is 73 kg, and a is 0.60 m/s divided by 0.41 m, which is 1.46 m/s2.

Plugging these values into the equation, we get a net force of 107.8 N. Therefore, the magnitude of the net force acting on the kayak is 107.8 N.

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Over time, stored kerosene does deteriorate. Kerosene deterioration is mostly brought on by condensation.

When kerosene absorbs water, it transforms into condensation, which promotes the growth of germs and mould. The development of bacteria and mould causes the kerosene to contain sludge-like materials. When kept in its original packaging or a designated container, kerosene has a shelf life of up to five years. Kerosene absorbs water from condensation as it ages. Mold and bacteria will turn the fuel into sludge and break it down. Kerosene's lifespan can be increased by yearly adding a fuel stabiliser. Kerosene storage can be challenging. It can degrade, lose its incendiary power, and sustain dangerous moulds and bacteria after roughly three months.

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The voltage drop across a 5 Ω resistor if the current through it is 5 A is calculated to be 25 V.

From Ohm's law we know the equation, V = I R

where,

V is the voltage drop

I is the current

R is the resistance

Given that,

I = 5 A

R = 5 Ω

Putting the values in the above equation, we have,

V = I R = 5 × 5 = 25 V

Thus, the required voltage drop across a 5 Ω resistor if the current through it is 5 A is calculated to be 25 V.

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The total north-south net force acting on the crate is the sum of the forces pushing north (960 N) and the force of friction pushing south (105 N). This is a net force of 960 N - 105 N = 855 N pushing north.

The total east-west net force acting on the crate is the sum of the forces pushing east (875 N) and the force of friction pushing west (80 N). This is a net force of 875 N - 80 N = 795 N pushing east.

This can be explained by Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

In this case, the crate is accelerating in the direction of the net forces acting on it (north and east). The forces of friction are opposing the motion of the crate, so they are subtracted from the total net force to determine the final acceleration.

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The two factors affecting the gravitational attraction between the astronaut and earth are the mass and distance.

Although an astronaut in orbit around the Earth experiences less of the effects of gravity than someone on the planet's surface does, this is not the reason why an astronaut feels weightless. Most manned spacecraft, including the International Space Station and the Space Shuttle, cannot travel so far from the Earth. Only around 11% of the Earth's gravitational pull is reduced at those heights compared to the planet's surface.

Because gravity is such a weak force, you don't see gravitational effects between items in a spacecraft. Gravity is by far the weakest of the four fundamental forces about which scientists can be certain.

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The mass and distance between the astronaut and the earth are the two variables influencing the gravitational pull.

This is not the reason why an astronaut feels weightless, even if an astronaut in orbit around the Earth feels less of the effects of gravity than someone on the planet's surface does. The majority of human spacecraft, such the Space Shuttle and International Space Station, are unable to travel that far from the Earth. In comparison to the planet's surface, just around 11% of the Earth's gravitational attraction is diminished at those altitudes.

In a spaceship, there are no gravitational influences between the objects because gravity is such a weak force. Of the four fundamental forces, gravity is by far the one about which physicists are most certain.

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c) Superior and inferior portions.

The body's upper (superior) or lower (inferior) halves are separated by the transverse plane, also known as the axial plane.This plane is where rotational or horizontal movements take place, such as:Rotation: turning the torso or even a limb about its axis of rotation.

Transverse plane: A horizontal slit that divides the specimen's top and bottom.additionally called a cross-sectional plane.The left and right halves of the specimen are divided by a vertical cut made along the specimen's exact center line, or midsagittal plane.

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John Dalton’s atomic model claims that all matter is made of atoms. Atoms are indivisible and indestructible.

J. J. Thomson in 1904 proposed his famous “plum pudding model“ which  stated that atoms were known to consist of negatively charged electrons.

Rutherford suggested that Thomson’s plum pudding model was incorrect and introduces a new model that introduced  nucleus to the atom theory. Nucleus contains relatively high central charge concentrated into very small volume.
Neil's Bohr in his own model describes the atom as a positively charged nucleus, which is surrounded by electrons.

Quantum mechanics model proposed that electrons are moving around the nucleus not on specifically defined electron paths but in a certain three dimensional space in which their own occurrence has a certain probability.

Atomic theory is the scientific theory proposed that matter is composed of particles called atoms which its origins to an ancient philosophical tradition known as atomism.

In conclusion, Four numbers known as quantum numbers, were introduced to describe the characteristics of electrons and their orbitals in the Quantum mechanics model.

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