A new way of "multiplying" two vectors is introduced in this chapter. What is it called? Select one: O a. The tensor product. O b. The angular product. Oc. The scalar product. O d. The dot product. O e. The cross product.

Answers

Answer 1

The correct option is option e) cross product

The cross-product is a new way of "multiplying" two vectors. It results in a new vector that is perpendicular to both the original vectors and its magnitude is given by the area of the parallelogram formed by the two original vectors.

In three-dimensional space, cross-product is a binary operation on two vectors. It yields a vector perpendicular to both vectors. a b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross goods are another name for vector products.

The cross-product has four basic applications:

calculating the angle () between two vectorsdetermining a vector normal to a planecalculating the moment of a force about a pointcalculating the moment of a force about a line.

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Related Questions

2. Donald Trump has a mass of 108 kg, calculate his velocity when he has the following kinetic energy:
a) 1250 J
d) 1.2 kj
g) 90 kj

Answers

Kinetic energy: A) 1250 J: Velocity = √(2*1250/108) = 8.2 m/s, D) 1.2 kj: Velocity = √(2*1200/108) = 82 m/s and G) 90 kj: Velocity = √(2*90000/108) = 819 m/s.

What is Kinetic energy?

Kinetic energy is the energy of motion. It is the energy an object has due to its motion. Kinetic energy can be calculated by multiplying half of an object's mass by the square of its velocity. Kinetic energy is a form of energy that is transferred between objects due to their motion. It is the energy of a moving object and is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is proportional to the square of its velocity. Kinetic energy is a form of energy that is associated with the motion of an object. It is the energy of a moving object and is equal to the work done to accelerate the object from rest to its current velocity.

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jordan wants to see if earthworms prefer rough or smooth terrain to crawl through. What will be his independent variable

Answers

The independent variable in this investigation is the type of surface which is changing whereas, the dependent variable is the mobility of earth worm.

What is independent variable?

In a experiment or investigation, there are two types of variables which are dependent and independent variable. Dependent variable are those which are dependent on other variables and are changing with respect to other variables.

Independent variables are those not dependent on any other variables and  we can change the independent variable to study the change in dependent variable.

Here, the one we studying is the mobility of earth worm which is the dependent variable and the type of surface rough or smooth is the independent variable.

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What would be the strength of Earth's gravitational field at a point where an 80. 0 kg astronaut would experience a 80% reduction in weight

Answers

Answer:

W = m g = 80 kg * 9.80 m/s^2 = 784 N    using g = 9.80 m/s^2

W' = (W - .8 W) 80 = .2 W  = 157 N

W' = 80 kg * g' = 157 N    where g' is the reduced field

g' = 1.96 m / s^2

please answer its due in 10 mins plsss​

Answers

Answer:

W = 2625 N

Explanation:

(i)

Weight is defined as the force which acts towards the surface of the planet. It is the force that makes the object stay on the surface of the planet. Mathematically weight is defined as the product of the mass of the object with the value of acceleration due to gravity on the surface of that planet.

[tex]W = mg[/tex]

where,

(ii)

W = Weight of object = ?

m = mass of the object = 350 kg

g = 7.5 m/s²

Therefore,

[tex]W = (350\ kg)(7.5\ m/s^2)[/tex]

W = 2625 N

anyone that can help??? ​

Answers

Answer:

Explanation:

56) A

57) E

On what interval is the factor by which the office noise is related to the standard threshold of hearing

Answers

The interval by which the factor by which the office noise is related to the standard threshold of hearing is (100,000, 10,000,000].

The factor by which the office noise is related to the standard threshold of hearing is given by x = 10^(d/10), where d is the sound intensity in decibels. Since the decibel reading was consistently above 50 but never above 70, we can calculate the range of x using the following:

50 < d <= 70

10^(50/10) < x <= 10^(70/10)

To find the range of x, we need to calculate the 10^(50/10) and 10^(70/10)

10^(50/10) = 10^5 = 100000

10^(70/10) = 10^7 = 10000000

Therefore, the range of x, the factor by which the office noise is related to the standard threshold of hearing is (100,000, 10,000,000].

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Your question is incomplete but most probably the complete question is:

Sound intensity, in decibels, d, can be written using a comparison factor, x, that compares sound intensity to the standard threshold of hearing. d = 10log(x) A sensor measures the sound intensity, in decibels, of an office over time. The decibel reading was consistently above 50, but never above 70. On what interval is the factor by which the office noise is related to the standard threshold of hearing? (17, 18.5) (17, 18.5] (100,000, 10,000,000] (100,000, 10,000,000)

Try to identify the following based on their description by a field geologist: A geologist found this sample to have an extremely shiny appearance, which was determined to be a bright silvery gray metallic. This sample is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.

Answers

This sample tends to break into cubes and is not extremely hard, perhaps just slightly harder than or as hard as a fingernail.

What is meant by sample?In contrast to the statistical definition, which refers to a collection of such values, a sample is a value of the signal at a particular moment in time and/or location.The number of samples per second (or per other unit) taken from a continuous signal to create a discrete or digital signal is known as the sampling rate or sampling frequency. A sample is a portion of continuous time-domain data that has been taken from the entire dataset. When a source produces an analog signal, the signal must be discretized in time if it is to be converted to a digital signal consisting of 1s and 0s, or High or Low. Sampling is the term used to describe this discretization of the analog stream.

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Galena is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.

What is the use of the mineral galena?

The main source of lead is galena, which is frequently mined for its silver content. In ceramic glaze, it can serve as a source of lead.

Where can one find galena?

Galena was designated as Missouri's official mineral in 1967. The Joplin-Granby region in southwest Missouri, which is a part of the Tri-State Mining District, saw a boom in galena mining. Crawford, Washington, Iron, and Reynolds Counties all have rich deposits.

Galena is it light or heavy?

Galena is lead sulfide with a specific gravity of 7.4 to 7.6 and a Moh's hardness of 2.5, making it actually rather soft. However, it is VERY heavy. It weighs roughly 700 pounds per cubic foot, for comparison.

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write down two advantages of parallel combination ​

Answers

Answer:

In parallel combination each appliance gets the full voltage.

If one appliance is switched on/of others are not affected.

The parallel circuit divide the current through the appliances.

In a parallel combination it is very easy to connect or disconnect a new appliance without affecting the working of other appliances.

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Explanation:

1. A Major League pitcher can give a 0. 142-kg base-

ball a speed of 45. 1 m/s. Find the magnitude of the

baseball's momentum.

Answers

The baseball's momentum will be 2.75 m/s in magnitude. This is the accurate answer to the given problem.

What are velocity and momentum?

Momentum and velocity are different in that momentum is a measurement of an object's amount of motion, whereas velocity is a measurement of an object's speed with direction. Velocity is one of the components of momentum since momentum is equal to an object's mass multiplied by its speed.

Is speed the same as momentum?

p = m v . The equation demonstrates that momentum is directly related to an object's mass (m) and velocity (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.

Briefing:

P initial = (145g) x (45 m/s) = 6525 g*m/s

F = 0-6525/1.0s = -6525N

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help please
A lamp is marked 1.8w in normal brightness it carries a current of 600mA

1) what is the related voltage?​

Answers

Answer:

Explanation:

If you are not told otherwise, you have to assume that the voltage source is ideal, meaning that it can maintain its voltage regardless of what resistances (or other loads) are in the circuit, and that it has the means to provide whatever current is necessary to maintain that voltage.

0

Okay, it's an interesting question. Your problem is right: the brightness stays the same.

First of all, I can't resist saying that I would expect 0 brightness haha. Because the circuit, as it is drawn, has no power sources. I guess the upper element is meant to be a voltage source. However, if you write "V" in the circle, that's the symbol of a volt-meter, not a power source. Consider changing the symbol for a battery or a voltage source.

After that comment, let's suppose the circuit consists in two lamps, a resistor and a voltage source, all of them in parallel.

The key is that

A voltage source provides a fixed voltage, but the current it provides is unknown, as it depends on the circuit to which it is attached.

That's the first idea. The second one is:

A lightbulb can be regarded as a resistance, at first level approximation.

That means that we have 3 resistances in paralell.

Two of those resistances are fixed (light bulbs). Constant voltage, and constant resistance, imply constant current.

[tex]IP=VRP;IQ=VRQ;[/tex]

The variable resistance allows changing the current through that resistance. Ivar=V/Rvar

But the total current is IP+IQ+Ivar. This is the current powered by the source. But the source is a voltage source, not a current one. A voltage source can have any current allowed by its components.

What is happening is that the current supplied by the source varies, in order to keep the voltage constant, which is the source's mission.

In other words,

Keeping the voltage constant requires a sacrifice: the current supplied by the source might vary.

But, as the voltage is the same for the bulbs, and intensities of the bulbs depend on the bulbs themselves (I=V/R), and they do not depend on the source, then of course the power dissipated in the bulbs is the same, and thus they have the same brightness.

This means that IP+IQ+Ivar=ITotal. Only Ivar and ITotal can vary. The bulbs' ones are fixed by Ohm's law.

Some more comments:

Of course, this is the ideal case. There is actually a range of currents that the source and the components can handle. Ideally, a voltage source can provide any current needed. In real life, this is not true. Real sources have a maximum current value.

Also, bulbs have a resistance that depends on the current, because their R depends on temperature.

If we didn't consider light bulbs as resistance, it would be a little more complicated, and different.

Hope this helps if not im sorry

Nan suitcase has a mass of 14 kg how much potential energy does it gain when she lifts it onto a bench that is 40 cm tall

Answers

The potential energy of Nan suitcase of mass 14 kg is 54.88 J.

What is Potential energy?

Potential energy is the energy of a body due to its position in the gravitational field.

To calculate the potential energy, we use the formula below

Formula:

P.E = mgh............... Equation 1

Where:

P.E = Potential energym = Massg = Acceleration due to gravityh = Height

From the question,

Given:

m = 14 kgg = 9.8 m/s²h 40 cm = 0.4 m

Substitute these values into equation 1

P.E = 14×9.8×0.4P.E = 54.88 J

Hence, the potential energy is 54.88 J.

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A 0.50-kilogram ball is thrown upward with an initial kinetic energy of 25 joules. Approximately how high will the ball rise

Answers

The height will the ball rise when a 0.50-kilogram ball is thrown upward is 5.1 meters.

Given,

Mass = 0.5 kg

Kinetic energy = 25 joules

Potential energy = mgh = 25

                              = 0.5 × 9.8 × h = 25

                               = 5.1 meters

In general, the work done by a force on an object between two points does depend on the path taken by the object between the two points. For the special case of conservative forces, we have seen that the work does not depend on the path.

Therefore, we can define, for conservative forces, an associated potential energy that, for a given object, depends only on its location. In particular, when a conservative force acts on an object as it moves between two points, we define the define the change in potential  energy associated with that force as minus the work done by that force between those two  points.

kinetic energy of the ball was equal to the work done by the gravitational force. By our definition, the change in gravitational potential energy is equal to minus the work done by the gravitational force.

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Which optical devices can form only virtual images?

Answers

Answer:

B and D

Explanation:

B (not the answer choice) is a hyperbole

Optical devices B and D can form only virtual images. Option C is correct.

What is the image?

When light beams from an object reflect off a mirror, they intersect with the picture of that thing, called an image. Real and virtual images are the two sorts of images.

The following parameters can be used to describe an image:

1. It is possible for an image to be real or virtual.

2. Left-right reversal is possible or not.

3. The image can be inverted or upright.

4. The image can be enlarged, shrunk, or made the same size as the object.

The image characteristic is described by the descriptive words will be;

1. image type.

2. image orientation.

3. image location.

4. image size.

Optical devices B and D can constitute only virtual images.

Hence, option C is correct.

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The Sun's path, as viewed from the equator, is highest in the sky on _____. A) the spring and fall equinoxes B) the winter solstice. C) the summer solstice D) the day when Earth is closest to the Sun

Answers

The correct option is A, the Sun's path, as viewed from the equator, is highest in the sky on the spring and fall equinoxes.

Fall equinox is an astronomical event that marks the transition from summer to autumn in the Northern Hemisphere and from winter to spring in the Southern Hemisphere. On the day of the fall equinox, the sun rises directly in the east and sets directly in the west. This marks the end of the summer season and the beginning of the autumn season. During the fall equinox, all areas of the Earth experience nearly the same amount of daylight and darkness.  

The fall equinox occurs in the middle of September in the Northern Hemisphere and in the middle of March in the Southern Hemisphere. It is the first day of autumn and the last day of summer in the Northern Hemisphere and the first day of spring and the last day of winter in the Southern Hemisphere.

The fall equinox marks the return of balance after the summer solstice, during which the days are the longest and the nights are the shortest. During the fall equinox, the day and night are of equal length and the sun is directly over the equator. After the fall equinox, the days become gradually shorter and the nights become gradually longer.

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How much energy is released when 110 g of steam condenses?

Answers

Answer:

To determine the amount of energy released when 110 g of steam condenses, we can use the latent heat of vaporization formula, which states that the energy released is equal to the mass of the steam multiplied by the latent heat of vaporization. The latent heat of vaporization of water is 2256.7 J/g, so the energy released would be equal to 110 g x 2256.7 J/g = 248230 J. This value can be converted to kilojoules by dividing it by 1000, resulting in approximately 248.2 kJ.

It is important to note that the specific heat capacity and the change in temperature are not required to calculate the energy released during the condensation of steam. Instead, we only need the mass of the steam and the latent heat of vaporization. The latent heat of vaporization is a measure of the amount of energy required to change the state of a substance from a vapor to a liquid at a constant temperature, and it is specific to each substance.

Explanation:

A simple pendulum has length L and period T. As it passes through its equilibrium position, the string is suddenly clamped at its mid-point. The period then becomes:

Answers

The new period would be T/2.

The period of a simple pendulum is given by T = 2π √(L/g), where,

L is the length of the pendulum g is the acceleration due to gravity.

When the string is clamped at its midpoint, the length of the pendulum is effectively halved.

So the new period would be T' = 2π √(L/2g) =π √(L/g) = T/2.

Period of Simple Pendulum:

The period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. It is determined by the length of the pendulum (L) and the acceleration due to gravity (g). The mathematical formula for the period of a simple pendulum is T = 2π √(L/g).

The length L of the pendulum is the distance from the pivot point (the point at which the pendulum is attached) to the center of mass of the pendulum bob (the weight at the bottom of the pendulum). The longer the pendulum, the longer the period will be.

The acceleration due to gravity (g) is a constant value of approximately 9.8 m/s^2 on the surface of the Earth. The value of g is used in the formula because the force of gravity is what causes the pendulum to oscillate.

It's important to note that the period of a simple pendulum is independent of the amplitude of the oscillations (the angle at the pendulum is displaced from its equilibrium position), as long as the amplitude is small enough that the pendulum's motion can be considered simple harmonic motion.

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The populations of the great apes in Africa are recovering and on the rise.


Please select the best answer from the choices provided

T
F

Answers

Answer:

False

Explanation

Poaching, habitat loss and diseases are contributing to the death of animals there, example: Gorilla

Answer:

false

Explanation:

You are standing on a moving bus, facing forward. You suddenly fall backwards. You can imply from this that the bus's __.

Answers

You are standing on a moving bus, facing forward. You suddenly fall backward. You can imply from this that the bus's acceleration or speed has increased suddenly.

When the bus accelerates or speeds up suddenly, the inertia of your body causes you to fall backward. Inertia is the tendency of a body to resist changes in its state of motion. It is a basic principle of physics that states that an object in motion will remain in motion with the same speed and the same direction unless acted upon by an outside force. When the bus accelerates suddenly, the inertia of your body causes you to remain in the same position, while the bus moves forward. This results in you falling backward.

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Estimate the length of a human lifetime, in seconds. Consider a life expectancy of 80 years. Express your answer in seconds.

Answers

A human lifetime of 80 years is equal to 29,200,000 seconds.

What is human lifetime?

The average human lifetime is typically 79 years, although this can vary greatly depending on various factors such as lifestyle, genetics, and environment. Generally, most people can expect to live anywhere from their late 60s to their mid-80s. However, some people live much longer, and some much shorter. Even within the same family, the range of lifespans can be quite varied.

This can be calculated by multiplying the number of seconds in a day (86,400) by the number of days in a year (365) by the number of years in a human lifetime (80).
86,400 x 365 x 80 = 29,200,000 seconds

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What is a way Accenture plans to achieve its sustainability goals by achieving net zero emissions through advanced robotics capabilities?

Answers

Accenture is leveraging its advanced robotics capabilities to reduce emissions and achieve its sustainability goals.

What do you mean by Emissions?

Emissions are substances that are released into the environment, usually as a result of human activities. These substances can be in the form of gases, particles, or radiation, and they can be either natural or man-made. Common emissions include carbon dioxide, methane, and other greenhouse gases, as well as air pollutants such as volatile organic compounds (VOCs) and particulate matter.

Accenture is developing autonomous robots to reduce the carbon footprint of its operations, as well as to enable more efficient and low-emission operations. These robots are designed to be energy-efficient and require minimal human intervention. They can detect and diagnose potential issues in the system, such as air quality, temperature, and humidity, and can be used to automatically reduce energy consumption. Additionally, Accenture is also exploring the use of robotics to enable more energy-efficient production processes, such as 3D printing and additive manufacturing.

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Which feature makes it possible to manually adjust the amount of exposure and light that a camera uses

Answers

It also assumes that many of your portrait are in focus. A wide aperture setup admits so much light into to the lens and lessens the depth of field.

what does a camera do?

A cameras is a piece of equipment that takes pictures and comprises of either a plate or light-sensitive film inside of a light-proof casing. The camera's shutters opens and closes during the taking of a picture, exposed the photosensitive film to sight and recording the scene on the film.

The traditional camera depicted in the illustration has been largely replaced by digital cameras and mobile phones today.

Less light enters the lens through a tiny aperture. Additionally, it suggests that more your photo will be sharp. More light enters the lens when the aperture is wide open, but the field of view is also reduced. You can change the aperture setting to help balance overall exposure and control the amount of the composition is already in focus.

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A nylon rope used by mountaineers elongates 1.10 m under
the weight of an 65.0-kg climber.
If the rope is 45.0 m in length and 7.0 mm in diameter, what is
Young’s modulus for this material? (Express your answer using two
significant figures).

Answers

The value of Young's modulus will be 6.78*10^8 N/m^2

Linear elastic solid materials have a mechanical characteristic called Young's modulus (Y), which is also referred to as the elastic modulus. It explains how strain (proportional deformation) and stress (force per unit area) interact with one another in a material.

The stiffness of a solid or its resistance to elastic deformation under stress is measured by the Young's modulus (E or Y). It connects strain (proportional deformation) along an axis or line to stress (force per unit area).

Given elongation delta L=1.10 m

Mass of A=65.0 kg,

L=45.0 m

D=7 mm

radius =  r=7/2=3.5 mm

Since we know the Young's Modulus (Y) Can be defines as [tex]Y=\frac{\text { stress }}{\text { strain }}=\frac{\mathrm{F} / \mathrm{A}}{\Delta l / L}[/tex]

Now, (4/{L)=(1.10 m/45.0 m)=0.0244

[tex]\begin{aligned}\ \frac{F}{A}=\frac{M g}{A} & =\frac{65 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{\pi r^2} \\& =\frac{65 \mathrm{~g} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{3.14 \times\left(3.5 \times 10^{-3}\right)^2} \\& =\frac{65 \times 9.8}{3.14 \times 12.25 \times 10^{-6}} \mathrm{~N} / \mathrm{m}^2 \\& =\frac{637}{38.465} \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\\frac{F}{A} & =16.56 \times 10^6 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]

Therefore, the value of Young's modulus will be

[tex]$$\begin{aligned}& Y=\frac{F / A}{\Delta l / L}=\frac{16.56 \times 10^{-6} \mathrm{~N} / \mathrm{m}^2}{0.0244}=\left(678.688 \times 10^6\right) \mathrm{N} / \mathrm{m}^2 \\& Y=6.78 \times 10^8 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]

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A 5.8 kg bowling ball is rolling down the lane with a velocity of 8.1 m/s . Calculate the momentum of the bowling ball. Provide your response to the nearest tenth kgm/s .

Answers

Answer:

46.98 kg m/s

Explanation:

P = mv

P = 5.8*8.1 = 46.98 kg m/s

How do you reduce high latency?

Answers

Increasing internet speed and bandwidth will help to solve the latency issues. You'll need a network connection with a minimum speed of 15 mbps in order to use the internet efficiently.

Explanation of the previous response:

Eventually, purchasing faster gear will be your best bet for obtaining lower latency. The system's overall latency can be considerably decreased by a faster CPU and GPU. Using the Reflex SDK's Game and Render latencies in games: If your Game Latency is excessive, think about getting a faster CPU.

In general, a latency (or ping) of 40 to 60 milliseconds (ms) or less is considered acceptable, whereas a speed of more than 100 ms will typically result in a significant lag in gaming. The performance of the game is affected by a number of variables.

the GPU, the HDD or SSD that the game is installed on, the amount and speed of RAM, the number of processing cores, and the speed of the disc.

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How do you calculate the speed of an object rolling down a ramp?

Answers

We can calculate the speed of an object rolling motion a ramp by using the equation of motion in which we consider rolling and a tangential force acting on it.

Rolling motion occurs when an object rolls down over a height from the ramp or from any other sloppy or rough surface. the surface can be both smooth or rough, depending on it the friction acts on the object that is rolling over the ramp. we also consider the rolling tangential force in our calculation along with other forces when we tend to calculate the rest of the things. We can calculate the speed of an object rolling motion a ramp by using the equation of motion in which we consider rolling and a tangential force acting on it. Hence by this we can consider that we can calculate the rolling of any object by the equation of motion.

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A student carefully measures the time it takes for a turtle to move 10.0 m. He gets a value of 4218.6 s. However he discovers that the stopwatch had already been running for about 300 s before the turtle started to move. How long did it take the turtle to go 10.0 m

Answers

The turtle traveled 10 meters in 3,918.6 seconds using simple subtraction.

What does subtracting in math mean?

In mathematics, to subtract is to eliminate something from set of things or a group of things. When we remove from the group, the number of items falls or gets less. The minuend, forces at play, and difference are the elements of a subtraction problem.

It involves calculating the distinction between two numbers. The icon looks like this: (minus). In this operation, we take a particular number then split it by a fewer group. In other words, we divide one integer by another. Click here for some difficult addition and subtraction sums.

He gets a value of 4218.6 s

he discovers that the stopwatch had already been running for about 300 s

Time taken by turtle = 4218.6 - 300

= 3918.6 s

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Which of the following most likely explains why Jupiter's interior releases so much heat?
A. Jupiter is gradually contracting in size.
B. tidal heating.
C. heat from radioactive decay.
D. a slow rate of nuclear fusion in Jupiter's core.

Answers

C. heat from radioactive decay.

Jupiter is a large gas giant and does not have a solid surface so the source of its heat is not from contraction or tidal heating.

Heat is generated from the radioactive decay of elements, such as uranium and thorium, in the interior of Jupiter which is the most likely explanation for the release of heat.

The heat released from the interior of Jupiter is believed to be generated from the radioactive decay of elements, such as uranium and thorium. These elements are naturally occurring, and their decay releases energy in the form of particles and radiation. This process produces the heat that is released from Jupiter's interior, which is why it is much hotter than the surrounding environment. The heat is also responsible for the hot spot that can be seen in Jupiter's atmosphere. It is estimated that the interior of Jupiter releases up to two and a half times more heat than it receives from the Sun. This process of radioactive decay is the most likely explanation for the release of such a large amount of heat from Jupiter's interior.

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Two pendulums have the same dimensions (length L) and total mass 1m2. Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar. Find the period of each pendulum for small oscillations. Which one takes longer for a swing

Answers

For pendulum A, the period of oscillation is T = 2π × √(L/g). For pendulum B, the period of oscillation is T = 2π × √(2L/g). As we can see from the formula, Pendulum B takes longer for a swing as its period of oscillation is longer than pendulum A due to the fact that half the mass is distributed along the uniform bar.

The period of a pendulum is given by the formula T = 2π × √(L/g) where L is the length of the pendulum and g is the acceleration due to gravity.

For pendulum A, the total mass is concentrated in the small ball at the end of the massless bar, so the period of oscillation is T = 2π × √(L/g)

For pendulum B, half the mass is in the small ball, and half is distributed along the uniform bar, so the period of oscillation will be T = 2π × √(2L/g)

In both cases, the length of the pendulum is the same, so the period of oscillation for pendulum A is shorter than the period of oscillation for pendulum B. Therefore pendulum B takes longer to swing.

It's worth noting that these calculations are based on small oscillations, when the angle of oscillation is small, as the period of a pendulum is dependent on the angle of oscillation.

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A 45 g golf ball collides elastically with an identical ball
at rest and stops. If the second ball's final speed is
3.0 m/s, what was the first ball's initial speed?

Answers

The initial speed of the first ball was 3.0 m/s. This can be determined by using the law of conservation of momentum where the total momentum of the system before the collision is equal to the total momentum of the system after the collision.

The diameter of a copper wire is thought to be approximately 0.3mm which instrument should be used to obtain a more accurate measurement of the diameter of the wire

Answers

Answer:

A micrometer caliper.

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