two compounds with partition coefficients of 0.15 and 0.18 are to be separated on a column with vm/vs. Calculate the number of theoretical plates needed to produce a resolution of 1.5?

Answers

Answer 1

The  number of theoretical plates are 1757.

What is partition coefficients  ?

The ratio of a compound's equilibrium concentrations in a combination of two immiscible liquids is known as a partition coefficient (P) or distribution coefficient (D). This ratio so compares the solubilities of the solute in these two liquids.

What is resolution  ?

Resolution of the vector is the process of dissolving a vector into its parts. The components will result in the same vector when combined together vectorially. In general, we divide a vector into three parts: the x-component, the y-component, and the z-component. y-component is the name given to a component that runs along the y-axis.

The ratio of the partition coefficients  of the two components ( ∝)

K ₂/ K₁ = 0.18/ 0.15= 1.2

The relationship between no. of plates and resolution is ask follows

R= \(\sqrt{N}\)/ 4 (∝- 1/∝) (K₂/K₂+1)

Calculate K₂ by using K₂ and Vsm as follows

K₂= K₂ ( Vs/ Vm )

18*1/3= 6

calculate the number of plates ( N) as follows

R= \(\sqrt{N}\)/4   (∝- 1/∝)  (K₂/K₂+1)

\(\sqrt{N}\)= R*4/(∝- 1/∝)  (K₂/K₂+1)

N = ( r*4/ (∝- 1/∝)  (K₂/K₂+1))²= [1.5*4/ ( 1.2-1/ 1.2) ( 6/ 6+1)]²= [6/(0.167) (0.857)]² = 1757

Therefore, number of theoretical plates are 1757.

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Related Questions

convert 129.3cm^3 to mL

Answers

Answer:

129.3 mL

Explanation:

1 cubic cm= 1 millimeter

Name:.
Date:
Homework: Writing an Argument About
Australia's Skin Cancer Rate
G
4
You now have enough evidence to explain why Australia's skin cancer rate is so high. Review your
argument from Chapter 2 and think about how you will convince the AHA that both Claim 2 and
Claim 3 are accurate. You will use your completed Reasoning Tool from Activity 3 to revise and add to
your argument.
Question: Why is the skin cancer rate in Australia so high?

Answers

A ship travels 2200 m, east in 425 s. If the ship's initial velocity is
5.7 m/s, east, what is the ship's acceleration?

Answers

The acceleration of the ship is –0.0012 m/s²

What is acceleration?

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a is the acceleration v is the final velocity u is the initial velocity t is the time

How to de terminate final velocityDisplacement = 2200 m eastTime = 425 sVelocity = ?

Velocity = displacement / time

Velocity = 2200 / 425

Velocity = 5.2 m/s

How to determine the acceleration of the ship

The acceleration of the ship can be obtained as follow:

Initial velocity (u) = 5.7 m/sFinal velocity (v) = 5.2 m/sTime (t) = 425 sAcceleration (a) =?

a = (v – u) / t

a = (5.2 – 5.7) / 425

a = –0.5 / 425

a = –0.0012 m/s²

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Revise your explanation about why the tops of mountains are often covered in snow and ice. Use the terms thermal energy, kinetic energy, solid, liquid, gas, particles, and matter in your answer.​

Answers

The tops of the mountains are often covered in snow and ice because as we go to the higher altitude the temperature decreases as per the normal lapse rate, and the thermal energy and the kinetic energy of the atmospheric gases decrease significantly at the higher altitude.

What is the equator?

The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude.

Because the temperature lowers as we ascend to greater altitudes according to the natural lapse rate and the thermal and kinetic energy of the atmospheric gases diminish dramatically, the peaks of mountains are frequently covered with snow and ice.

The water vapors present in the upper atmosphere convert into ice and snow at the top, therefore tops of the mountains are often covered in snow and ice.

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Trevor is charting the motion of his pet tortoise across the floor. The diagram below shows its position every 60 seconds.

A.The tortoise is moving at a constant speed
B. The tortoise’s speed is decreasing through time
C. The tortoise’s speed is increasing through time
D. The tortoise’s position is not changing through time

Answers

Answer:

A.The tortoise is moving at a constant speed

Explanation:

The chart shows the tortoise covering a distance of 0.5 meters every 60.0 seconds. Since this rate of motion is not changing, the tortoise is moving at a constant speed.

The diagram shows the tortoise moving at a constant speed. Thus the correct option is option A.

What is speed?

Speed is defined as how far the object travels. It is also defined as the rate of change of distance per unit of time. Speed is the scalar quantity and the unit of speed is m/s.

Speed is denoted by the letter v. v = s/t, where s is the distance traveled along the path and t is the time taken by the object to move along the path.   The SI unit of distance is meter and the unit of time is seconds.

When the object covers an equal distance at equal intervals of time is called uniform speed. When the object covers unequal distance with equal intervals of time or equal distance with unequal intervals of time is called Non-uniform speed.

The graph shows the Tortoise covers 0.5 m in 60 seconds is called uniform speed. Thus, option A is correct.

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Calculate the height of stairs a 60 kg student would have to run in order to burn off 1 Calorie of food energy, which is the equivalent of 4190 Joules.

Answers

The height of stairs a 60 kg student would have to run in order to burn off 1 Calorie of food energy will be 7.1 meters.

What is potential energy?

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

Given data;

Mass of student,m = 60 kg

Energy,E = 4190 J

Height of stairs,h=?

The potential energy is mainly dependent upon the height of the object. The potential energy is found as;

Potential energy = mgh

E=mgh

h=E/mg

h= 4190 J / (60 kg× 9.81  m/s²)

h = 7.1 metre

Hence the height of the stairs will be 7.1 meters.

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A cylindrical water tank open to the atmosphere, 10 m tall and 6 m in diameter, is mounted with its base 25 m above ground level, and filled with water. Calculate a) the water pressure and force at the base of the tank?​

Answers

The water pressure at the base is 98,000 Pa, and the force exerted at the base of the tank is 2,768,460 N.

To find the water pressure at the base of the tank, take the formula:

Pressure = density × gravity × height

In which

Density = density of water (1000 kg/m³)

Gravity = acceleration due to gravity (9.8 m/s²)

Height = height of the column

According to question:

Height of the water column = 10 m

Take the formula:

P = 1000 kg/m³ × 9.8 m/s² × 10 m

= 98,000 Pa

To find the force at the base of the tank, take the formula:

Force = Pressure × Area

In which

Pressure = pressure at the base of the tank

Area = base area of the tank

The base area of a cylindrical tank can be found by the formula:

Area = π × r²

In which:

Diameter of the tank = 6 m

To find the radius, divide the diameter by 2:

Radius = 6 m ÷ 2

= 3 m

Put the values into the formula:

Area = π × (3 m)²

= 28.27 m²

Now, find the force:

Force = 98,000 Pa × 28.27 m²

= 2,768,460 N

Thus, the water pressure at the base is 98,000 Pa, and the force exerted at the base of the tank is 2,768,460 N.

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The trajectory of a ball can be computed with
y = (tan 0)x
9
2v cos² 0.
-x² + Yo
where y the height (m), 0o = the initial angle (radians), vo = the initial velocity (m/s), g = the gravitational constant = 9.81 m/s²,
and yo the initial height (m). Use the golden-section search to determine the maximum height given yo = 2 m, vo = 20 m/s,
and 80=45°. Iterate until the approximate error falls below &s=10% using initial guesses of x/= 10 m and xu = 30 m. (Round
the final answer to three decimal places.)
The maximum height is
m.

The trajectory of a ball can be computed withy = (tan 0)x92v cos 0.-x + Yowhere y the height (m), 0o

Answers

We must define a function that accepts an input parameter x and returns the associated height y in order to use the golden-section search. By entering the specified numbers for yo, vo, 0o, g, and x into the formula.

How much learning error must be set?

The golden-section search algorithm can now be used to identify the value of x that maximises y. We begin by setting the error tolerance to 10% and starting with the basic hypotheses .

How can we determine the value of x that optimises y using the golden-section search algorithm?

Calculate the values of x2 and x3 using the golden ratio:Evaluate the function at x2 and x3:If y2 > y3, the maximum is between x1 and x3, so we set x4 = x3 and repeat from step 1. Otherwise, the maximum is between x2 and x4, so we set x1 = x2 and repeat from step.

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explain why a wrecking ball can destroy a building, but a yo-yo cant. Use the term kinetic energy in your explanation.

Answers

released weight increases in velocity.

momentum increases as force increases.

momentum= mass x velocity

the wrecking ball has a bigger mass and weight.

the mass of the weight of the wrecking ball is constant, the velocity of the weight as it swings must be increased if momentum is going to be increased.

The kinetic energy of a body determines it's level of impact on the object in which it comes in contact with. Hence, the much larger kinetic energy exhibited by a wrecking ball compared to a yo-yo means that is has a much larger impact on a building than a yo-yo.

Kinetic Energy = 0.5mv²

The kinetic energy of a body is a factor of it's velocity and mass as they are directly proportional.

The wrecking ball has a very large mass which is thousands of times larger than that of a yo-yo. Also, the velocity at which a wrecking ball is launched is higher than the velocity of a yo-yo.

This means that the kinetic energy of a wrecking ball is much higher than that of yo-yo. Hence, having much greater impact on a building compared to a yo-yo.

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A force F is applied to a cylindrical steel cable of diameter 3.5 mm and length 10.0 m. Determine the value of F if the change in length of the cable is 7.8 mm.
Ysteel = 20 x 10^10 N/m2

Answers

Explanation:

Mathematicians seek and use patterns[8][9] to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.[10] Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.[11]

Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences.

The value of force (F) if the change in length of the cable is 7.8 mm is 1500.89 N

The value of the force can be determined by using the young modulus equation that shows the relation between the tensile of the steel cable when the force is applied.

\(\mathbf{\gamma = \dfrac{F/A}{\Delta L/L}}\)

\(\mathbf{\gamma = \dfrac{F} {A }\times \dfrac{L}{\Delta L} }\)

Making the force the subject of the formula and replacing the values, we have:

\(\mathbf{F =\dfrac{A \times \gamma \times \Delta L }{L} }\)

\(\mathbf{F =\dfrac{ \pi \times (3.5 \times 10^{-3}) \times ( 20 \times 10^{10} \ N/m^2 ) \times (7.8 \times 10^{-3}) }{4 \times 10} }\)

\(\mathbf{F =1500.89 \ N }\)

Therefore, we can conclude that the value of force (F) if the change in length of the cable is 7.8 mm is 1500.89 N

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(12)
5) Explain, in terms of the definition of power, why energy consumption is
sometimes listed in kilowatt-hours rather than joules. What is the relationship
between these two energy units?​

Answers

Answer:

Power is the rate at which work is done or energy is transferred in a unit of time. Power is increased if work is done faster or energy is transferred in less time.

A bicyclist steadily speeds up from rest to 6.00m/s in 7.30s.

How far did she travel during this time?

Answers

Answer:

21.899 m

Explanation:

The explanation here is a little differe because we are starting from rest. So, everyone does physics a little differently, but what I would start with is trying to find the accelaration. I've given the formula, now you are able to plug this into the displacement formula where you Velocity Initial = 0m/s (Since you are starting from rest) and V final = 6.00 m/s...

You just plug numbers into the formula after solving for accelaration and do some simple algebra! I hope this helps! I am attaching a new pdf for visuals! If you can't open it let me know! Also there is a star by accelaration because I didn't know if I spelled it right, sorry!

A bicyclist steadily speeds up from rest to 6.00m/s in 7.30s.How far did she travel during this time?

What quantity is the product of mass and acceleration?​

Answers

Answer:

F=ma

Explanation:

according to newton's first law,it states that if a body is in a state of rest or is moving in a straight line except it is moved or stopped by an agent called force or applied force

formula for this law holds as follows

F=ma

where F=applied force,m=mass of the body,a=acceleration of the body

PLEASE HELP!!
Which statement accurately describes a balanced force?


A 2-N force presses down on the marble at the same time as a 1.5-N force presses up on the marble.

A marble rolling downhill suddenly comes to rest at a garden wall.

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

A marble resting on the sidewalk suddenly begins to roll downhill without being touched.

Answers

Answer:

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

Explanation:

just took test

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Balanced force is when the net force applied on the object is zero than said to be balanced.

A 25-N force acts on the left side of the marble at the same time as a 25-N force acts on the right side of the marble.

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According to the principal of superposition,

Answers

Answer:

the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.

Explanation:

imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line

Diesel fuel is used in the engine of trucks that carry dirt fruit and other cargo. Fuel is burned in engines to make the motor move. Which of these is the main energy transformation as the truck engines use the fuel?

Answers

Answer: Fuel is burned in engines to make the motor move.

( Chemical to Mechanical )

Explanation:

during combustion of the diesel ( when the fuel is burnt in the engine of the vehicle, the diesel ( chemical energy ) is transformed or converted to Mechanical energy. This mechanical energy is what the truck uses in moving. Without the combustion of the fuel the vehicle won’t move and the combustion of diesel is achieved through compression unlike that of fuel.

If you throw a ball upward with an initial speed of 4m/s at 1.5m above the ground, find
c. the maximum height with respect to the ground.

Answers

Answer:

The maximum height with respect to the ground is 1.5m + 4m/s2 x (4m/s/2) = 6m.

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How are magnetic fields like vectors?

Answers

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Using atleast 4 sentences. Please share three facts you have learned this year in Physical Education and how you will adapt what you have learned to your everyday life.

Answers

Three facts I have learned this year in Physical Education are:

a) The importance of stretching before and after exercising.

b) The benefits of cardiovascular exercise.

c) The importance of staying hydrated during exercise.

Firstly, I have learned the importance of stretching before and after exercising. Stretching helps prevent injury and improves flexibility. I will make sure to incorporate stretching into my daily routine, whether it's through a short stretching session in the morning or by taking a few minutes to stretch before and after a workout.
Secondly, I have learned the benefits of cardiovascular exercise. Cardiovascular exercise, such as running or cycling, helps improve heart health and endurance. I will try to incorporate more cardiovascular exercise into my daily routine, such as going for a run or bike ride after work.
Lastly, I have learned the importance of staying hydrated during exercise. Dehydration can lead to fatigue and muscle cramps, so it's important to drink plenty of water before, during, and after exercise. I will make sure to carry a water bottle with me throughout the day and refill it regularly to ensure that I am staying hydrated.
In summary, by incorporating stretching, cardiovascular exercise, and staying hydrated into my daily routine, I hope to improve my overall physical health and well-being.

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Help please ! Ill give brainliest !! ☁️✨

Help please ! Ill give brainliest !!

Answers

Answer:
Force Meter > used to measure force
Milli > Prefix that means 1/1,000
Centi > Prefix that means 1/100
Kilo > Prefixes that means 1,000
Thermometer > used to measure Temperature


Explanation: uh just trust

A 4 kW vacuum cleaner is powered by an electric motor whose efficiency is 90%. (Note that the electric motor delivers 4 W of net mechanical power to the fan of the cleaner). What is rate at which this vacuum cleaner supplies energy to the room when running

Answers

Answer:\(3.6\ kW\)

Explanation:

Given

Power Supplied \(\(P_{input}=4\ kW\)\)

Efficiency of the motor \(\neta =90\%\)

and \(\neta =\dfrac{\text{Power output}}{\text{Power input}}\)

\(\Rightarrow 0.9=\dfrac{P_{out}}{4}\)

\(\Rightarrow P=0.9\times 4\)

\(\Rightarrow P=3.6\ kW\)

So, vacuum cleaner delivers a power of \(3.6\ kW\)

The acceleration of gravity on the
Moon is 1.62 m/s2. The mass of the
Moon is 7.35 x 1022 kg. From this
information, what is the radius of the
Moon?

Answers

Answer:

1.74 x 10^6

Explanation:

Brainliest :)

The approximate radius of the Moon is \(1.736 * 10^7\) meters, or 17,360 kilometers.

To find the radius of the Moon, we can use Newton's law of universal gravitation, which relates the acceleration due to gravity (g) to the mass of the celestial body (M) and the distance (radius, r) between the center of the body and the object experiencing the gravitational force.

The formula for the acceleration due to gravity on the surface of a celestial body is:

\(g = G * (M / r^2),\)

where:

g = acceleration due to gravity on the Moon's surface (\(1.62 m/s^2\)),

G = universal gravitational constant (approximately\(6.67430 * 10^{-11\) m^3/kg/s^2),

M = mass of the Moon (\(7.35 * 10^{22\) kg), and

r = radius of the Moon (what we want to find).

Let's rearrange the formula to solve for the radius (r):

\(r^2\) = G * (M / g).

Now, we can plug in the known values:

\(r^2 = (6.67430 * 10^{-11} m^3/kg/s^2) * (7.35 * 10^{22} kg / 1.62 m/s^2)\).

Calculate the value of \(r^2\):

\(r^2\) ≈ \(3.018 * 10^{14} m^2.\)

Finally, take the square root of both sides to find the radius (r):

r ≈ \(\sqrt{(3.018 * 10^{14} m^2)\)≈ \(1.736 * 10^7\) meters.

So, the approximate radius of the Moon is\(1.736 * 10^7\) meters, or 17,360 kilometers.

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A 60.0-cm, uniform, 5.00-kg shelf is supported horizontally by two vertical wires attached to a sloping ceiling. The front wire is inset by a distance of 20 cm. A very small 2.50-kg tool is placed on the shelf midway between the points where the wires are attached to it.


Required:

Find the tension in the back wire.

Answers

Image is missing, so i have attached it

Answer:

Tension in back wire = 24.5 N

Explanation:

let the tension in the back wire be Tₒ

let the tension in the front wire be T

Applying static equilibrium in the vertical direction, we have:

T + Tₒ = (5 × 9.8) + (2.5 × 9.8)

T + Tₒ = 73.5

Where Tₒ = (2.5 × 9.8) = 24.5 N

Thus, Tension in back wire = 24.5 N

A 60.0-cm, uniform, 5.00-kg shelf is supported horizontally by two vertical wires attached to a sloping

The tension in the back wire equals 24.5 N.

We can arrive at this answer with the static equilibrium formula, for that, let's consider that the tension in the back wire is represented by the letter "t," while the tension in the front wire is represented by the letter "T."

Therefore, we can use the following formula:

\(t= W*g\\t= 2,5*9.8\\t= 24.5 N\)

In this case, the letter "W" refers to the tool weight, while the letter "g" refers to gravity.

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what is the value of pi(8.104)^2 written with correct significant numbers

Answers

Answer:206.3

Explanation:

why fan videos be streamed from the cloud to a computer with no lost quality

Answers

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

How do digital signals work?

An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.

Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

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radio waves bounce off objects and can be tracked. The photo shows one way this technology is used today

Answers

Doppler radars work by using radio waves that bounce off objects and thus the object can be tracked.

Doppler radars work by emitting a beam of energy from an antenna known as radio waves. The energy they release when they collide with airborne objects scatters in all directions, with some of it returning directly to the radar.

The quantity of energy returned to the radar increases with object size. We can now perceive raindrops in the atmosphere because of this.

The amount of time it takes for the energy beam to be delivered and returned to the radar also gives us the object's distance.

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A small apple weighs 0.8N. How much would an apple that is 4 times as massive weigh?

Answers

Answer:

W=31.99 N

Explanation:

W= 8 N (N= kg*m/ s^2)

W= m* g

8 N= m * 9.8 m/s^2

m= 0.816 kg

m*4= (0.816)4

= 3.264 kg

W= mg

= (3.264 kg)(9.8 m/s^2)

W=31.99 N

PLZ EXPLAIN AND I WILL GIVE YOU BRANILEST

How do two interacting objects exert equal and opposite forces on each other when they collide, even though they have different masses?

Answers

Answer:

Did a little research.

Explanation:

The Law of Action-Reaction:

Newton's third law of motion is naturally applied to collisions between two objects. In a collision between two objects, both objects experience forces that are equal in magnitude and opposite in direction. Such forces often cause one object to speed up (gain momentum) and the other object to slow down (lose momentum). According to Newton's third law, the forces on the two objects are equal in magnitude. While the forces are equal in magnitude and opposite in direction, the accelerations of the objects are not necessarily equal in magnitude. In accord with Newton's second law of motion, the acceleration of an object is dependent upon both force and mass. Thus, if the colliding objects have unequal mass, they will have unequal accelerations as a result of the contact force that results during the collision.Consider the collision between the club head and the golf ball in the sport of golf. When the club head of a moving golf club collides with a golf ball at rest upon a tee, the force experienced by the club head is equal to the force experienced by the golf ball. Most observers of this collision have difficulty with this concept because they perceive the high speed given to the ball as the result of the collision. They are not observing unequal forces upon the ball and club head, but rather unequal accelerations. Both club head and ball experience equal forces, yet the ball experiences a greater acceleration due to its smaller mass. In a collision, there is a force on both objects that causes an acceleration of both objects. The forces are equal in magnitude and opposite in direction, yet the least massive object receives the greatest acceleration.

Consider the collision between a moving seven ball and an eight ball that is at rest in the sport of table pool. When the seven ball collides with the eight ball, each ball experiences an equal force directed in opposite directions. The rightward moving seven ball experiences a leftward force that causes it to slow down; the eight ball experiences a rightward force that causes it to speed up. Since the two balls have equal masses, they will also experience equal accelerations. In a collision, there is a force on both objects that causes an acceleration of both objects; the forces are equal in magnitude and opposite in direction. For collisions between equal-mass objects, each object experiences the same acceleration.

What year did Clara Baer invent Nukem/Newcomb ball?

What year did Clara Baer invent Nukem/Newcomb ball?

Answers

Answer:

1895

Explanation: it was invented in 1895 by Clara Berra a physical education instructor at Sophie Newcomb College.

Answe Clara Baer invented Nukem/Newcomb ball in the year of 1895.

Explanation:Have a blessed day!

NEED HELP WITH PHYSICS< WILL NAME BRAINLIEST

NEED HELP WITH PHYSICS&lt; WILL NAME BRAINLIEST

Answers

Answer:

c

Explanation:

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