A. 149 kg baseball moving at 17. 7 m/s is caught by a 57 kg catcher at rest on an ice skating rink,


wearing frictionless skates. With what speed does the catcher slide on the ice?


Do NOT put in units or it will be marked wrong! The answer's value only! Please round each


answer to 3 places.


Mava + MbVb = (Ma+b)(Va+b)

The elastic modulus parallel to the fibers of a composite material made of type E-glass fibers embedded in a matrix of ABS plastic, with all fibers to be aligned in the same direction can be calculated as follows:First, we need to calculate the elastic modulus of each component of the composite material.

The elastic modulus of type E-glass fibers is 72 GPa, and the elastic modulus of ABS plastic is 2.5 GPa.Next, we need to calculate the volume fraction of each component. If we assume that the composite material is made up of 60% type E-glass fibers and 40% ABS plastic, then the volume fraction of type E-glass fibers is 0.6, and the volume fraction of ABS plastic is 0.4.

Finally, we can use the rule of mixtures to calculate the elastic modulus parallel to the fibers. The rule of mixtures states that the elastic modulus of a composite material is equal to the weighted average of the elastic moduli of the individual components, where the weights are the volume fractions.

Therefore, the elastic modulus parallel to the fibers is given by:

Elastic modulus parallel to fibers = (Volume fraction of type E-glass fibers x Elastic modulus of type E-glass fibers) + (Volume fraction of ABS plastic x Elastic modulus of ABS plastic)

Elastic modulus parallel to fibers = (0.6 x 72 GPa) + (0.4 x 2.5 GPa)

Elastic modulus parallel to fibers = 43.5 GPaSo, the elastic modulus parallel to the fibers of the composite material is 43.5 GPa.

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If a bird flew from my house to the sandwich shop in a straight line, it would travel a distance of 10.44 miles.

The direction that it  should  fly from my house to get to the shop is at an angle 73.30°.

Pythagorean theorem-

The position vector are

OA = -6j AB = -10iBC=3j

where

O is the position of the house

C is the position of the shop.

Now drawing a perpendicular from C to OA at P we have,

Thus we have,

PC = 10i

PA = 3j

Thus,

OP = OA - PA = -6j + 3j = -3j

OC is the resultant of CP and OP

a) Thus the magnitude of OC

| OC | = √CP^2 + OP^2

= √ (10^2 +3^2) =10.44

b) The angle made by OC with OP

tan θ = OP/CP = 10/3

θ = 73.30°

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Answer:

The effect of gravity is only to shift the equilibrium point, so at equilibrium (at rest), a vertical spring will be extended as compared with the same spring in a horizontal position. But this does not affect the period.

As  the spring constant or displacement is changed, the value and direction of the restoring force change, and they are always toward the equilibrium position of the spring when it is stretched.

When an object is relaxed or stretched, it is responsible for returning it to its original equilibrium position, such as a spring when stretched, and the force is directly proportional to the displacement and acts in the opposite direction of the displacement, the restoring force is responsible for the oscillations and waves, and its properties.

Hence, as the spring constant or displacement is changed, the value and direction of the restoring force change, and they are always toward the equilibrium position of the spring when it is stretched.

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Answer:

Three factors that can affect the annual dose of radiation an individual might receive are:

Exposure time: The longer the time of exposure to a radiation source, the higher the dose received.

Distance from the radiation source: The closer an individual is to a radiation source, the higher the dose received. This is because radiation intensity decreases with distance from the source.

Type of radiation: Different types of radiation have different levels of energy and can penetrate materials to different extents. For example, alpha particles are stopped by a piece of paper, while gamma rays can penetrate several inches of lead. This means that the type of radiation can affect the amount of radiation dose received by an individual.

Explanation:

The Doppler effect, first established by Austrian physicist Christian Doppler in 1842, is the phenomenon of changes in frequency or wavelength of a sound or light wave caused by the relative motion of the source and observer.

In theory, the Doppler effect could be used to visualize the movement of a planet with respect to an observer. By capturing the Doppler shifted light from the planet at different points along its orbit, an observer could theoretically map out the Orbiting body's orbital path.

Depending on the distance of the planetary body from the observer, the frequency shifts in the light data could be translated into its velocity. While the application of this concept may not be feasible on a large scale, Doppler could, potentially, provide useful information that could be used to describe a planet's orbital path.

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Correct question is :

would it be feasible to utilize the doppler effect to visualize the mvoement of a planet. explain.

my certainty is 99.999999% because the earth has been around for about 4 quadrillion years or more and the sun has risen on almost every single one of them, so the odds of the sun not coming up are very very low.

Answer:

100%

Explanation:

Calibrating a thermometer is important to ensure that the temperature readings are accurate.

By using a set of standards with a range of known melting points, the thermometer can be calibrated against known temperatures to ensure it is providing accurate readings.

This ensures that when the thermometer is used in experiments or other applications, the measurements taken are reliable and can be trusted. Calibration also allows any potential errors in the thermometer readings to be identified and corrected.

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Answer:

this is ur answer

Answer:

Using X = sum( x's * mass)/sum( masses)

= [(0)*(6400)+ (-9.5*1000) + (9.5)*(1000) + (9.5)*(1000)]/(6400+1000+1000+1000)

= 1.01 m

Y = sum( y's * mass)/sum( masses)

= [(0)*(6400) + (9.5)*(1000) +(-9.5)*(1000) + (-9.5)*(1000)]/ (6400+1000+1000+1000)

= -1.01 m

Answer:

An object must be touching another.

Percentage of college graduates believing their education was useful for helping them grow personally and intellectually, but not useful for helping them develop specific skills and knowledge for the workplace is 70%.

According to a 2018 study by the Association of American Colleges and Universities, approximately 70% of college graduates believe that their education was very or somewhat effective in helping them grow personally and intellectually, but not very effective in helping them develop specific skills and knowledge for the workplace.

This suggests that many college graduates may feel that their education did not adequately prepare them for the demands of the labor market, despite being beneficial for personal and intellectual growth. This finding highlights the importance of considering the alignment between higher education and workforce development, as well as the need for continued learning and skill development beyond formal education.

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Using the theories of light year, we got that 57.0 trillion km is  'Barnard's star' away from earth.

Light is the fastest-moving stuff in the our universe. It actually travels at 186,000 miles per second (300,000 km/sec). And thus a light-year is about 5.88 trillion miles (9.46 trillion kilometers).

We know very well that ,

1 light year=9.5 trillion km

Therefore,6 light year=6×9.5 trillion km

               =>6 light year=57.0 trillion km.

Hence, if a light year is approximately 9. 5 trillion km long, 'Barnard's star' is 6 light years away from earth which is equivalent to 57 trillion of kilometres

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Answer:

The correct order of answers goes:

\(\left[\begin{array}{ccc}Ionic\\Electronegativity\\Metallic\\Cation\end{array}\right]\)

Explanation:

Ionic - Ionic bonds are formed between a metal and a nonmetal (typically). Nonmetals are typically more electronegative elements because they are seeking to gain electrons to achieve atomic stability while metals want to give up electrons to those elements to become atomically stable. Therefore, the nonmetals are much more electronegative in comparison to the metals.

Electronegativity - Electronegativity is used mathematically to predict the type of bond that will occur between elements. The larger electronegativity has the smaller electronegativity subtracted from it to give us a number that we then apply to ranges within a table and try to decipher what kind of bond will be formed.

Metallic - This plays into both explanations already given. Metallic bonds will form between metals, meaning their electronegativities will be much lower. Higher differences between electronegativities (anything above 1.7) is considered ionic, while anything from 0.1 to 1.69 is considered covalent (these split to make polar and nonpolar covalence).

Cation - Cation is the term for a positively charged ion. It comes from cathode (a scientist completed an experiment with the cathode ray tube where they accelerated positively charged particles throughout it).

Two forces 3N and 4N act on a body in a direction due north From East, the equilibrant's angle is given by \(\theta=\tan ^{-1} \frac{3}{4}=36.8^{\circ}\).

The equilibrium force is the balanced force when the net force acting is zero and is the exact opposite of the consequent force. The resultant force is one single force replaced by numerous forces.

3N and 4N are the two forces pulling on a body.

The forces work along the North and the East, which are perpendicular to one another.

The resultant of the forces, which is provided by the equilibrant force,

R  = √(3)²+(4)²

R = 5N

From East, the equilibrant's angle is given by

\(\theta=\tan ^{-1} \frac{3}{4}=36.8^{\circ}\)

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Answer:

25 N left

Explanation:

Mars has a mass of 6.40 x 1023 kg and a radius of 3.40 x 103 km. based on this data, The acceleration due to gravity at the surface of mars will be 3.69 \(m/s^{2}\)

g = G M / \(R^{2}\)

g = acceleration due to gravity on mars

G = gravitation constant

R = Radius

M = mass

g = 6.67 * \(10^{-11}\)  * 6.40 * \(10^{23}\) /  \((3.40 * 10^{6}) ^{2}\)

  = 3.69 \(m/s^{2}\)

The acceleration due to gravity at the surface of mars will be 3.69 \(m/s^{2}\)

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If the density of matter in the universe turned out to be greater than the critical density, it would imply that the universe is a closed system. This means that the gravitational pull of matter in the universe is strong enough to eventually halt the current expansion and cause the universe to collapse in on itself.

This collapse would lead to the formation of a singularity, similar to the Big Bang, from which a new universe could potentially emerge.

However, current observations suggest that the density of matter in the universe is actually less than the critical density, indicating that the universe is an open system. This means that the current expansion of the universe will continue indefinitely, potentially leading to a "heat death" scenario where all matter is evenly dispersed and the universe reaches a state of maximum entropy.

It is important to note that the actual density of matter in the universe is still a topic of ongoing research and debate, with various methods of measurement producing slightly different results.

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The type of energy that does not describe potential energy being changed into kinetic energy is the energy that exists in the Compression of the spring.

Usually, in many energy sources, the potential energy is changed into kinetic energy but no such energy transmission takes place when a spring is compressed.

Potential energy is considered as the stored energy occupied by an object or system by virtue of its respective position or by the arrangement of parts. However, this energy is not affected by the environment existing outside of the system or subject including air or height. Potential energy is changed into kinetic energy is also not described in the compression of rubber foam.  

On the other hand, the term kinetic energy is termed as the energy of a particular object or particle of a system that is in motion. Contrary to several peculiarities of potential energy, the kinetic energy of a particular object is in relative position to other stationery as well as moving objects present in its own environment which is an immediate type. In general, the kinetic energy of an object will be of higher value if the object is placed at a distance of greater height.  

If we take the case of Potential energy, it is not all transferrable in nature and will depend on the height or the distance and also the mass of the object. On the other hand, Kinetic energy can be easily transferable from one moving object to another which includes the vibrational and rotational types of energy and it depends on the speed, velocity, and mass of the object.

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To drag the box from point A to B on a horizontal surface using a horizontal force of 10 N, a work of 60 joules (J) must be done over a distance of 6 meters (m).

On a horizontal surface, if a box is dragged from point A to B by a horizontal force of 10 N, the work done can be calculated using the formula:

Work = Force x Distance

In this case, the force applied is 10 N and the distance between points A and B is 6 m.

Plugging these values into the formula, we get:

Work = 10 N x 6 m = 60 Nm

The unit for work is joules (J), so the work done in this scenario is 60 J.

When a force is applied to move an object, work is done.

The work done is calculated by multiplying the force applied by the distance over which the force is exerted.

In this case, the force applied is 10 N and the distance is 6 m.

Multiplying these values gives us the work done, which is 60 J.

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In order to form a hypothesis that would illustrate the relationship between mass and kinetic energy, we first need to understand what kinetic energy and mass are and how they are related. Kinetic energy is the energy that an object possesses due to its motion, and is given by the formula KE = 0.5mv², where m is the mass of the object and v is its velocity. Mass, on the other hand, is a measure of the amount of matter in an object.

The relationship between mass and kinetic energy is direct, meaning that as mass increases, so does kinetic energy, provided that velocity remains constant. Similarly, if velocity increases, then kinetic energy will increase as well, provided that mass remains constant.

The hypothesis that illustrates this relationship can be stated as follows:If the mass of an object is increased, then the kinetic energy of the object will also increase, because kinetic energy is directly proportional to mass, assuming velocity remains constant.In other words, if the mass of an object is doubled, then its kinetic energy will also double, assuming that its velocity remains constant. This hypothesis can be tested through experiments that involve measuring the kinetic energy of objects with different masses, but with the same velocity.

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If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.

There are 20,971,520 strings of eight English letters that contain no vowels when letters can be repeated.To calculate the number of strings of eight English letters that contain no vowels.

we need to consider the total number of possible choices for each letter position.

In the English alphabet, there are 26 letters, including five vowels (A, E, I, O, U) and 21 consonants.

Since we want to create strings without vowels, we can choose any of the 21 consonants for each position in the string.

For each of the eight positions in the string, there are 21 choices (consonants) available.

Therefore, the total number of strings can be calculated as:

Total number of strings = Number of choices for each position ^ Number of positions

Total number of strings = 21^8 = 20,971,520

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The reason for the deflection of the compass from the magnetic north of the Earth when a current-carrying wire is placed over Magnetic effect due to current carrying wire.

What is Magnetic effect ?

Magnetic effect refers to the influence that a magnet or a magnetic field has on other magnets, magnetic materials, or moving charges. This effect is a result of the physical properties of magnetic fields, which are created by moving charges, such as electrons.

The magnetic effect is responsible for various phenomena, including the attraction or repulsion of magnets, the creation of magnetic fields around current-carrying wires, the behavior of moving charges in a magnetic field, and the generation of electricity in electric generators.

The reason for the deflection of the compass from the magnetic north of the Earth when a current-carrying wire is placed over it is option (a) - Magnetic effect due to current carrying wire.

When a current flows through a wire, it creates a magnetic field around the wire. This magnetic field can interact with the magnetic field of the Earth, causing the compass needle to deflect from its original direction. This phenomenon is known as the magnetic effect of a current-carrying wire.

Therefore, she action of connecting a battery to the wire and placing it over the compass caused a current to flow through the wire, which in turn created a magnetic field around the wire, leading to the deflection of the compass needle.

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It will need a force acceleration

The work done by the force field f in moving an object from p(-5, 3) to q(7, 7) is approximately 15.226.

The force field f in moving an object from p(-5, 3) to q(7, 7), we need to integrate the dot product of the force field f and the displacement vector from p to q.

The displacement vector from p to q. This vector is given by:

q - p = (7, 7) - (-5, 3) = (12, 4)

Now, let's parametrize the path from p to q by t, where t goes from 0 to 1. The position vector of the object at time t is:

r(t) = p + t(q - p) = (-5, 3) + t(12, 4) = (12t - 5, 4t + 3)

The velocity vector of the object is given by the derivative of r(t) with respect to t:

r'(t) = (12, 4)

Now, the dot product of f and r'(t):

f(r(t)) · r'(t) = ((2x)/y)i - (x²2/y²2)j · (12i + 4j)

= (2(12t - 5)/(4t + 3)) + (-((12t - 5)²2)/(4t + 3)²2)

Integrate this expression with respect to t from 0 to 1:

∫[0,1] f(r(t)) · r'(t) dt = ∫[0,1] (2(12t - 5)/(4t + 3)) + (-((12t - 5)²2)/(4t + 3)²2) dt

= 4 ln(7/3) + 25/3

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In light of this, V=V 0 loge (r/r 0 ) Field E= dr dV =V 0(r0r) eE= r mV2 alternatively, reV0r0=rmV2. V=(m eV 0 r 0 ) \ s1 / 2mV=(m e V 0 r 0 ) 1/2 = constant mvr= 2 nh, also known as Bohr's quantum condition or Hermitian matrix.

Show that the eigenfunctions for the Hermitian matrix in review exercise 3a can be normalized and that they are orthogonal.  

Demonstrate how the pair of degenerate eigenvalues for the Hermitian matrix in review exercise 3b can be made to have orthonormal eigenfunctions.

Under the given Hermitian matrix, "border conditions," solve the following second order linear differential equation: d2x/ dt2 + k2x(t) = 0 where x(t=0) = L and dx(t=0)/ dt = 0.

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The height of the image is approximately -0.7875 m. The negative sign indicates that the image is inverted compared to the original object. To find the height of the image for a 0.45 m tall object placed 0.31 m from a converging lens with a 0.19 m focal length, follow these steps:

1. Use the lens formula: 1/f = 1/d_o + 1/d_i, where f is the focal length, d_o is the object distance, and d_i is the image distance.
2. Plug in the given values: 1/0.19 = 1/0.31 + 1/d_i.
3. Solve for d_i: 1/d_i = 1/0.19 - 1/0.31, so d_i ≈ 0.5426 m.
4. Use the magnification formula: M = -d_i/d_o, where M is the magnification.
5. Plug in the values: M = -0.5426/0.31, so M ≈ -1.75.
6. Find the height of the image: image_height = M * object_height, so image_height = -1.75 * 0.45.
The height of the image is approximately -0.7875 m. The negative sign indicates that the image is inverted compared to the original object.

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Answer: Its nuclear fusion

Explanation:

Answer:

Pretty sure it's Radiation.

When I become a CEO (Chief Executive Officer) of a large company (like Amazon or Tesla), I would make the company more humane, with great parameters of working conditions, paying good salaries, so we would improve production and people would be happier , being an example to the whole world of a company that values and respects its employees.

The CEO is essentially the highest-ranking executive in the company. He has most of the power. He reports directly to the board of directors. On the other hand, the president is below the CEO in the company hierarchy.

Direct the company's next steps through strategic planning; Take care, together with directors and shareholders of the company's health; Implement or modify processes within the company or sectors; Represent and relate to external audiences.

With this information, we can conclude that  I would make the company more humane, with great parameters of working conditions

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