the equation is the position of a particle in space at time t. find the​ particle's velocity and acceleration vectors. then write the​ particle's velocity at as a product of its speed and direction.

Answers

Answer 1

The​ particle's velocity at as a product of its speed and direction is equal to 10 . [tex](\frac{8}{10},0,\frac{6}{10} )[/tex]

What is velocity?

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

The particle's velocity is the derivative of its position. The particle's acceleration is the derivative of its velocity. You can calculate the velocity and acceleration as follows:

[tex]\vec{v}(t)=\frac{d r}{d t}=\frac{d}{d t}(8 t+5) \vec{i}+\frac{d}{d t}\left(8 t^2-2\right) \vec{j}+\frac{d}{d t}(6 t) \vec{k}=8 \vec{\imath}+16 t \vec{j}+6 \vec{k}[/tex]

[tex]\vec{a}(t)=\frac{d v}{d t}=\frac{d}{d t}(8) \vec{i}+\frac{d}{d t}(16 t) \vec{j}+\frac{d}{d t}(6) \vec{k}=0 \vec{i}+16 \vec{j}+0 k[/tex]

The velocity at t = 0 is  [tex]\vec{v}(0)=8 \vec{i}+0 \vec{j}+6 k[/tex]

if the speed at t = 0 is [tex]||\vec{v}(0)||[/tex] = 10 then the velocity at t = 0 can be written as a product of the speed at t = 0 & the direction at t = 0 is

[tex]\vec{v}(0)=\|\vec{v}(0)\| \frac{\vec{v}(0)}{\|\vec{v}(0)\|}=10 \cdot\left(\frac{8}{10}, 0, \frac{6}{10}\right)[/tex]

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Full question

The equation r (t) = (8t + 5)i + (8t^2 - 2)j + (6t )k is the position of a particle in space at time t. Find the​ particle's velocity and acceleration vectors. Then write the​ particle's velocity at t equals 0 as a product of its speed and direction. What is the velocity​ vector?


Related Questions

a wrench 30 cm long lies along the positive y-axis and grips a bolt at the origin. a force is applied in the direction k0, 3, 24l at the end of the wrench. find the magnitude of the force needed to supply 100 n∙m of torque to the bolt.

Answers

The magnitude of the force needed to supply 100 N m of torque to the bolt is 417 N

Here r = < 0, 0.3, 0 >

F = F < 0, 3, -4 >

T = r F sin θ

If v = < 0, 3, -4 >, θ is the angle between r and v

r . v = r v cos θ

0.9 = ( 0.3 ) ( 5 ) cos θ

Cos θ = 0.6

Sin θ = 0.8

T= r F sin θ

100 = 0.3 F ( 0.8 )

F = 417 N

Torque is a type of force which causes an object to rotate about an axis. Torque is represented as τ. Its unit is N m

Therefore, the magnitude of the force needed to supply 100 N m of torque to the bolt is 417 N

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Why is that when a small marble hits another small marble, it moves, but when a small marble hits a bigger marble, it does not?​

Answers

Answer:

It depends on the masses of the marbles that collide. The figure shows a marble with a smaller mass hitting a marble with a larger mass. The larger marble is at rest. After the collision, the marble with a smaller mass bounces off in the opposite directions

hope this helps :)

A student who was trying to determine the concentration of escherichia coli in a sample completed a total plate count assay. After plating 1ml of the 10-6dilution tube and incubating the plate at 37oc for 24 hours the student counted 210 colonies on the plate. What is the cfu/ml of the original sample?.

Answers

From the total plate count assay, the  colony forming units/ml (CFU/ml) of the original sample is 2.1 * 10⁸ CFU/mL.

What is the Colony Forming Units/ml (CFU/ml) of the original sample?

The the Colony Forming Units/ml (CFU/ml) of a given sample of of cultured bacteria is a measure of the number of colonies formed per given mL f the final diluted sample of the cultured bacteria.

The formula for calculating the Colony Forming Units/ml (CFU/ml) of a given cultured bacteria sample is given as follows:

CFU =  number of colony forming units on the countable plate * 1/FDF

Where:

FDF is the final dilution factor

The final dilution factor is the product of all the dilution factors from the original sample to the countable plate.

From the dat provided:

FDF = 1 * 10⁻⁶

number of colony forming units on the countable plate = 210

The colony forming units/ml (CFU/ml) of the original sample = 210 * 1/1 * 10⁻⁶

The colony forming units/ml (CFU/ml) of the original sample = 2.1 * 10⁸ CFU/mL

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3. Which of the following best represents the estimated age of the universe?
13.7 billion
37 billion
13.7 million
3.7 million years

Answers

Based on a Hubble Constant of 70, the universe is thought to be 13.7 billion years old. The Hubble Constant of 82.4 determined by Jee's team places the universe's age at roughly 11.4 billion years.

What is a Universe ?

Everything exists in the cosmos. It encompasses all of space as well as the matter and energy that it holds. Even time is a part of it, and you are obviously a part of it. Along with the other planets and their numerous moons, Earth and the Moon are all components of the cosmos.

Numerous religious people, including a large number of scientists, believe that God created the cosmos and the numerous processes guiding physical and biological evolution, and that these processes later led to the creation of galaxies, our solar system, and life on Earth.

Hence, estimated age of the universe is 13.7 billion years old

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The period T(time) of a simple pendulum depends on the length and the acceleration due to gravity. Derive the exact form of this dependence.

Please help.

Answers

The exact form of this dependence of period is given as T = 2π√(L/g).

What is period of a simple pendulum?

The time period of a simple pendulum is defined as the time taken by the pendulum to finish one full oscillation and is denoted by “T”.

The equation for the period of pendulum oscillation is determined as;

T = 2π√(L/g)

where;

L is length of the pendulumg is acceleration due to gravityT is the period

Thus, the exact form of this dependence of period is given as T = 2π√(L/g).

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According to the diagram of the electromagnetic spectrum shown, what would best represent the
size of visible light?
A.Humans
B.Pinpoint
C.Protozoa
D.Molecules

Answers

The  best represent the size of visible light will be C. Protozoa

The electromagnetic spectrum, gives the overall distribution of electromagnetic radiation by the  frequency or wavelength. All EM waves travel at the speed of light in a vacuum, but over a wide range of frequencies, wavelengths, and photon energies.

Visible light wavelengths cover the range of approximately 0.4 to 0.7 μm. electromagnetic spectrum that the human eye can see is the Visible light. Visible light is a form of electromagnetic (EM) radiation, along with radio waves, infrared, ultraviolet, X-rays, and microwaves. the wavelengths that are visible to most human eyes is generally known as Visible light

the best represent the size of visible light is Protozoa, According to the diagram of the electromagnetic spectrum shown,

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Why does decreasing air pressure indicate an approaching storm?

Answers

Answer:

In general, a falling barometer indicates the approach of a storm. If the mercury is over 30.20 inches but falling quickly, warmer, cloudier weather is coming. If the mercury continues to fall, the weather will worsen. When the mercury level is between 30.20 and 29.80 inches and dropping rapidly, expect precipitation

Answer:

When cold air encounters warm air, the warm air rises over the cold air and makes surface air pressure drop. As a result, a low-pressure system forms, and winds begin to blow. This is how storms form in response to changes in air temperature.

Explanation:

Many people believe that if the human race continues to use energy as we are now, without change, we’ll witness a significant worldwide environmental impact in this century. Research this topic and discuss this possibility. Include concrete examples of specific environmental consequences of global warming.

Answers

It is correct to state that if the human race continues to use energy as it currently does, without change, we will see negative environmental impacts all over the world in this century.

What is global warming?

Global warming is the heating of the Earth's surface seen since the pre-industrial period because of human activities, mainly the combustion of fossil fuels, which boosts heat-trapping greenhouse gas levels in the Earth's atmosphere.

As an example, vehicles that run on fossil fuels, such as cars and buses, emit polluting gases into the atmosphere, causing the greenhouse effect and contributing to global warming.

To address these issues, it is necessary to raise public awareness so that there is a growing interest in and search for environmentally responsible solutions, such as mass production of electric cars that do not pollute the environment.

It is right to argue that if the human race persists to use power in the same manner that it as of now does, we will see negative environmental impacts all over the world in this century.

Thus, these are some of the consequences regarding the given scenario.

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The expression like a ton of bricks means “a crushing weight.” Would being hit by an actual ton of bricks hurt if it happened on the moon?(1 point)
Responses

No, it would not hurt because the bricks would have little mass.
No, it would not hurt because the bricks would have little mass.

Yes, it would hurt because the bricks would still have the same mass.
Yes, it would hurt because the bricks would still have the same mass.

No, it would not hurt because the bricks would have more weight.
No, it would not hurt because the bricks would have more weight.

Yes, it would hurt because the bricks would still have more weight.

HELP FAST

Answers

Yes, being hit by an actual ton of bricks would still hurt because the bricks would still have the same mass.

What is Mass?

This is referred to as the quantity of matter which is present in a body or object and is usually measured in kilogram.

On the moon which has a very weak gravitational force, the mass of an object is usually the same when compared to that on earth which is the reason why the individual will experience the same feeling of being hurt by the impact of the bricks.

This is therefore the reason why option B was chosen as the most appropriate choice.

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a very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity of 11.0 m/s. how long does he have to get out of the way if the shot was released at a height of 2.20 m, and he is 1.80 m tall?

Answers

The shot was released at a height of 2.20 m, and he is 1.80 m tall t ac=2.66s is long is he have to get out of the way.

What is velocity?

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Therefore,

a very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity of 11.0 m/s. how long does he have to get out of the way if the shot was released at a height of 2.20 m, and he is 1.80 m tall?

t AC=2.66s

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Omagine that you could build a telescope of any size in your backyard. Ultimately, the smallest angular size that could be resolved by this telescope would be governed by the?.

Answers

The Earth's atmosphere caused by blurring would govern the smallest angular size that could be resolved by the telescope.

Angular size refers to an object's apparent size as seen from an observer on Earth. Since telescopes collect and magnify the light from distant objects, the least angular size can be affected by the mount of lights gathered which could be affected by fuzzy earth atmosphere. Earth's atmosphere places serious limitations upon astronomical observations for two primary reasons.

First, the atmosphere is not equally transparent at all wavelengths and certain wavelength regimes are completely inaccessible from the ground. Hence, in desiring to build a telescope with a specific angular size, the earth atmosphere must be factored in.

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When the parachute is fully open, the effective drag coefficient of the skydiver plus the parachute increases to 60. 0 kg/m. What is the drag force fdrag acting on the skydiver immediately after she has opened the parachute?.

Answers

After the effective drag coefficient of the skydiver plus the parachute increases to 60. 0 kg/m, drag force acting on the skydiver immediately after she has opened the parachute is found to be 188160N.

When a skydiver opens their parachute, what force increases?

Air pressure

An open parachute expands the skydiver’s cross-sectional area as he falls, increasing the amount of air resistance he faces (as observed in the animation below).

As soon as the parachute is opened, air resistance outweighs the pull of gravity.

How does the drag formula work?

According to the drag equation, drag D is equal to the drag coefficient. Cd multiplied by density r, velocity V squared, and the reference area.

We must choose a value for Cd in order to calculate drag given the air conditions, shape, and inclination of the object.

Here we know,

K[tex]v^{2}[/tex] = mg

K[tex]v^{2}[/tex] = 80 x 9.8

K[tex]v^{2}[/tex] = 784.5

V = 56 m/s

Then fdrag = [tex]60*(56)^2[/tex]

fdrag = 188160 N

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Complete Question

A skydiver of mass 80.0 kg (including parachute) jumps off a plane and begins her descent. for the magnitude of the Throughout this problem use 9.80 acceleration due to gravity.

When the parachute is fully open, the effective drag coefficient of the skydiver plus the parachute increases to 60. 0 kg/m. What is the drag force fdrag acting on the skydiver immediately after she has opened the parachute?

the inner planets—mercury, venus, earth, and mars—are believed to have been formed by . masses of cold hydrogen and helium collisions with large galaxies the combining of asteroid-sized debris

Answers

The inner planet Mercury, Venus, Earth, and Mars are believed to have been formed by the combination of asteroid-sized debris.

Exactly, what is space debris?

Planets are formed through the collision of asteroid-sized space debris.

Space debris includes both naturally occurring meteoroids and man-made (artificial) orbital junk.

The majority of manufactured debris is in orbit around the Earth, unlike meteoroids, which are in orbit around the sun (thus the phrase "orbital" debris").

The collisions of micrometeoroids, which are dust-sized pieces of asteroids and comets, naturally produce some debris.

Operational satellites may become space trash due to their short lifespans.

Due to the elevated potential of collision with and damage to operational satellites, the building of space trash poses a particularly catastrophic threat to humankind's future in space exploration.

Additionally, it might harm the environment of Earth.

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If you change the magnetic field inside a closed loop of wire, you induce in the loop _______.

Answers

If you change the magnetic field inside a closed loop of wire, you induce in the loop is current .

As per the Faraday law, the current help to induce the electric field in a close loop.

Electric field- it is defined as the electric force per unit charge. The direction of the field is taken to be in the direction of the force which applied on a positive test charge.

It is outward from a positive charge. It is inward from a negative charge.

If you change the magnetic field inside a closed loop of wire, you induce in the loop is current .

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you are driving eastbound on the interstate at 70 mi/hmi/h . you observe that you are approaching a truck in your lane at a relative speed of 15 mi/hmi/h .

Answers

The velocity of the truck in relative to the highway is 55 mi / hr

We know that,

[tex]V_{rel}[/tex] = V - [tex]V_{obs}[/tex]

where,

[tex]V_{rel}[/tex] = Relative velocity

V = Object velocity

[tex]V_{obs}[/tex] = Observer velocity

Given that,

[tex]V_{rel}[/tex] = 15 mi / hr

V = 70 mi / hr

[tex]V_{rel}[/tex] = V - [tex]V_{obs}[/tex]

Here the observer is the truck

[tex]V_{rel}[/tex] = V - [tex]V_{truck}[/tex]

15 = 70 -  [tex]V_{truck}[/tex]

[tex]V_{truck}[/tex] = 55 mi / hr

Relative velocity is the velocity of an object with respect to another observer.

Therefore, the velocity of the truck in relative to the highway is 55 mi / hr

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Question 8 of 29
Which of the following is an example of Newton's second law of motion?
OA. A wheelbarrow is more difficult to move as more objects are
placed inside.
OB. When a gymnast jumps off the ground, Earth also exerts a force
on the gymnast.
OC. Rocks lose energy as they roll down a hillside.
OD. A satellite in space can travel without slowing down, even after
using up all its fuel.

Answers

Answer:

Option A

Explanation:

In reality what they are trying to say, is that we need to exert more force to accelerate a wheelbarrow that has more mass.

In other words, when mass increases the force exerted to maintain an acceleration increases as well, and this is given by newton's second law of motion, which suggests that the force exerted on a system is proportional to the mass of that system.

[tex]F=ma[/tex]

a runner uniformly accelerates from rest to a speed of 6 m/s in 4s. What is the acceleration of the runner?

Answers

Answer:

See below

Explanation:

Acceleration = change in velocity / change in time

=  6 m/s / 4 s = 1.5 m / s^2

A girl rolls a marble across the floor and determines the distance rolled (in meters) every second for 10 seconds. what is the average speed of the marble as it rolls across the floor? responses 0 m/s 0 m/s 0.67 m/s 0.67 m/s 1.5 m/s 1.5 m/s 150 m/s

Answers

The average speed of the rolled marble across the floor is 1.5 m/s.

We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as

v = d / t

where v is average speed, d is distance and t is time.

From the question above, we know that

d = 15 m

t = 10 s

By substituting the given parameter, we can calculate the average speed

v = d / t

v = 15 / 10

v = 1.5 m/s

Hence, the average speed of the marble is 1.5 m/s.

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Explain how the solar system is a system.

Answers

A solar system is a system in which the sun serves as the parent star and everything revolves around it. Everything also includes all planets, all moons, all asteroids, and all comets.

What is the solar system?

The gravitationally system comprising the Sun and the satellites in its orbit is referred to as the Solar System. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. The Sun has the great majority of the system's mass, with Jupiter holding the majority of the remaining mass.

The first four plants are referred to as terrestrial/Inner planets in our solar system. The asteroid belt is ahead of them. Mars, Venus, Mercury, and Earth are the planets.

Jovian/giant/outer planets are the planets that follow the asteroid belt in the solar system. Their atmosphere is dense and primarily made of hydrogen and helium. Jupiter, Saturn, Uranus, and Neptune are the planets after asteroid belt.

Hence, the sun, 8 planets, 63 moons, as well as millions of other minor bodies like asteroids and comets, as well as enormous amounts of dust and gases, make up the solar system.

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There are different colors of visible light because

Answers

Answer:

Light is made up of different wavelengths, or colors, and white light is a combination of all of them. When a ray of white sunlight hits a patch of beach ball, the paint absorbs most of the wavelengths. It reflects the rest. For example, if the patch is blue, it reflects the blue wavelengths and absorbs all the others.

We see different wavelengths of light as different colors because they are associated to different wavelength, which activates different cells in the retina.

All gases exhibit ideal behavior in low pressure situations because when the pressure is very low, the gas particles are.

Answers

Gases move slower at temperatures, not pressures.

What happens to gas at low pressure?

The average kinetic energy of the gas particles falls as the temperature rises. Because of this, a greater percentage of gas molecules lack the kinetic energy needed to repel intermolecular forces generated by nearby atoms.As air pressure drops, the air spreads out or expands more widely. There is a consequent drop in temperature.The temperature of a gas is directly proportional to its pressure for a constant volume of gas in a sealed container, according to the pressure law.The amount of oxygen available to breathe likewise reduces when the pressure drops. At very high altitudes, the oxygen levels and air pressure are so low that individuals can get sick or possibly pass away.

All gases exhibit ideal behavior in low-pressure situations because when the pressure is very low, the gas particles are:

Far apart and rarely interacting

- gases move slower at temperatures, not pressures.

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in the 1991 world track and field championships in tokyo, mike powell jumped 8.95 m, breaking by a full 5 cm the 23-year long-jump record set by bob beamon. assume that powell’s speed on takeoff was 9.5 m/s (about equal to that of a sprinter) and that g 9.80 m/s2 in tokyo. how much less was powell’s range than the maximum possible range for a particle launched at the same speed?

Answers

Mike Powell's range was 0.26 m less than the maximum possible range.

We know that,

Horizontal range of the projectile on a flat ground is,

R = v² sin 2θ / g

where,

R = Range

v = Velocity

θ = Angle of projection

g = Acceleration due to gravity

Given that,

v = 9.5 m / s

The maximum possible range of a projectile is achieved when the angle of projection is 45°

R = 9.5² sin 90° / 9.8

R = 9.21 m

The difference between maximum range and Mike Powell's range is

R = 9.21 - 8.95

R = 0.26 m

In a projectile motion, range is the horizontal distance between starting and ending point.

Therefore, Mike Powell's range was 0.26 m less than the maximum possible range.

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If a marble is launched out of a cannon, is it in free fall after it has been launched?
Also, how do you know if it is -10 m/s/s or 10 m/s/s for acceleration in free fall?

Answers

It is true that as soon as the marble is launched out of the cannon it is in the free fall (provided that there is no air resistance). The value of acceleration will be -10 m/s² for upward motion and 10m/s² for downward motion.

What is Free Fall?

Free fall is defined as the condition in which the body moves under the influence of gravity alone. In the case of free fall, there is no air resistance.

Given in the question is a marble launched out of cannon.

Yes, as soon as the marble is launched out of the cannon it is in the free fall (provided that there is no air resistance) since it moves under the influence of gravity only. As soon as the marble is launched out of the cannon, it will follow a parabolic path. Now, it will move upwards and reach maximum height. From the launch to the maximum height, the marble will move opposite to that of gravity and hence the value of acceleration due to gravity will be g = - 10 m/s². After the maximum height is achieved, it starts to descend towards the ground such that the velocity vector and acceleration vector are both directed in the same direction. In this case, the acceleration due to gravity will be g = 10 m/s²

Therefore, it is true that as soon as the marble is launched out of the cannon it is in the free fall (provided that there is no air resistance). The value of acceleration will be -10 m/s² for upward motion and 10m/s² for downward motion.

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Answer:The sentence can have several meanings depending on how a person chooses to see it. Two sentences explaining the meaning of the pun in this sentence are given below:

The pun used in this sentence is meant to indicate that the person being spoken about has a place in the speaker's heart. Just as a pizza is shared into several portions, so does the person being spoken of, occupy a portion of the speaker's heart.

Pun is the humorous usage of a word in order to make use of its several meanings. Pun is a way of playing with words.

In the sentence above, the speaker plays with the word pizza as a replacement to the word, 'place'. When sharing pizza, it is usually divided into parts.

In the same way, the person who the speaker was referring to occupied a place in his heart.The sentence can have several meanings depending on how a person chooses to see it. Two sentences explaining the meaning of the pun in this sentence are given below:

The pun used in this sentence is meant to indicate that the person being spoken about has a place in the speaker's heart. Just as a pizza is shared into several portions, so does the person being spoken of, occupy a portion of the speaker's heart.

Pun is the humorous usage of a word in order to make use of its several meanings. Pun is a way of playing with words.

In the sentence above, the speaker plays with the word pizza as a replacement to the word, 'place'. When sharing pizza, it is usually divided into parts.

In the same way, the person who the speaker was referring to occupied a place in his heart.The sentence can have several meanings depending on how a person chooses to see it. Two sentences explaining the meaning of the pun in this sentence are given below:

The pun used in this sentence is meant to indicate that the person being spoken about has a place in the speaker's heart. Just as a pizza is shared into several portions, so does the person being spoken of, occupy a portion of the speaker's heart.

Pun is the humorous usage of a word in order to make use of its several meanings. Pun is a way of playing with words.

In the sentence above, the speaker plays with the word pizza as a replacement to the word, 'place'. When sharing pizza, it is usually divided into parts.

In the same way, the person who the speaker was referring to occupied a place in his heart.The sentence can have several meanings depending on how a person chooses to see it. Two sentences explaining the meaning of the pun in this sentence are given below:

The pun used in this sentence is meant to indicate that the person being spoken about has a place in the speaker's heart. Just as a pizza is shared into several portions, so does the person being spoken of, occupy a portion of the speaker's heart.

Pun is the humorous usage of a word in order to make use of its several meanings. Pun is a way of playing with words.

In the sentence above, the speaker plays with the word pizza as a replacement to the word, 'place'. When sharing pizza, it is usually divided into parts.

In the same way, the person who the speaker was referring to occupied a place in his heart.The sentence can have several meanings depending on how a person chooses to see it. Two sentences explaining the meaning of the pun in this sentence are given below:

The pun used in this sentence is meant to indicate that the person being spoken about has a place in the speaker's heart. Just as a pizza is shared into several portions, so does the person being spoken of, occupy a portion of the speaker's heart.

Pun is the humorous usage of a word in order to make use of its several meanings. Pun is a way of playing with words.

In the sentence above, the speaker plays with the word pizza as a replacement to the word, 'place'. When sharing pizza, it is usually divided into parts.

In the same way, the person who the speaker was referring to occupied a place in his heart.The sentence can have several meanings depending on how a person chooses to see it. Two sentences explaining the meaning of the pun in this sentence are given below:

The pun used in this sentence is meant to indicate that the person being spoken about has a place in the speaker's heart. Just as a pizza is shared into several portions, so does the person being spoken of, occupy a porti

In the same way, the person who the speaker was referring to occupied a place in his heart.

Explanation:

Difference between hyperbola and parabola (2 points)​

Answers

Answer: GoodMorning: ) ✨  So we should know that A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus, and that  The hyperbola can be defined as the difference of distances between a set of points, which are present in a plane to two fixed points is a positive constant. So what what I mean by that is that if you have like a y squared term but no x squared term or vice versa so you have an x squared term but no y squared term then you know it's a parabola.

Hope This Helps <3 ✨

The de broglie equation relates the wavelength and the kinetic energy of particles. What is the mass of a particle with a speed of 2. 34 × 10^6 m/s with a de broglie wavelength of 2. 25 × 10^-9 m?.

Answers

The mass of the particle is [tex]\bold{1.26 \times 10^{-34} \,kg}[/tex]

The de Broglie wavelength ([tex]\lambda[/tex]) of a particle in motion is a measure of the particle's capability of demonstrating wave characteristics even though it is just a moving particle.That quantity is associated with the particle's mass, the speed it travels at and Planck's constant ([tex]k = 6.6261\times 10^{-34}\,m^2\,kg/s[/tex]).This question is not a hard one and it just checks your primary knowledge of the formula associated with this concept.That formula is given as follows, you may recall your memory in case it is forgotten.

                        [tex]\lambda &= \frac{k}{mv}[/tex]

Therefore, just substitute the known values correspondingly and find the needed parameter: the velocity in this case.It can be done simply as follows,

                            [tex]\begin{aligned}\\\\m &= \frac{k}{v\lambda}\\\\&= \frac{6.6261\times 10^{-34}\, m^2\,kgs^{-1}}{2.34\times10^6\,ms^{-1}\times 2.25\times 10^{-9}\,m}\\\\&=\small 1.26\times 10^{-31}\, kg\end{aligned}[/tex]

Be cautious to put the units appropriately during the calculations.

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How does the speed of a current down a river affect the speed of a boat across a river?

Answers

Answer:

The river current influences the motion of the boat and carries it downstream. The motorboat may be moving with a velocity of 4 m/s directly across the river, yet the resultant velocity of the boat will be greater than 4 m/s and at an angle in the downstream direction.

Explanation:

Two changed objects, A and B, are exerting an electric force on each other . What will happen if the charge on A is increased

Answers

Answer:According to Coulomb's law, the electrostatic force between two bodies is proportional to the product of their two charges. If the charge on A is increased this product increases in size (it must have been non-zero to begin with, since there was a force between them at first). Thus, the force between them rises.

Explanation:

What is an alkali metal?

Answers

Answer:

any of the six chemical elements that make up Group 1 (Ia) of the periodic table.

Explanation:

Answer:

Explanation: an alkali metal is a metal that is alkali

Elvira throws a meatball at the wall. When the meatball hits the wall, it makes a sound. The kinetic energy of the meatball is transferred into the surroundings through what? (Hint: your answer should be a type of wave. )

Answers

Answer:

sound waves

Explanation:

The kinetic energy of the meatball is transferred into the surroundings through sound waves.

When the meatball hits the wall, the kinetic energy of the meatball causes vibrations in the wall and the surrounding air. These vibrations create sound waves which transfers the kinetic energy to sound energy until it runs out of energy.

When an object / medium vibrates, the particle of the object / medium starts to move. This movement of particles is called as sound waves. It is a type of mechanical wave.

Therefore, the kinetic energy of the meatball is transferred into the surroundings through sound waves.

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The region around the earth where charged particles are trapped and spiral around is called:______.

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The region around the earth where charged particles are trapped and spiral around is called magnetosphere .

The motion of charged particle in electric and magnetic field.

F = q(v x B).

Where, the magnetic force becomes centripetal force due to its direction towards the circular motion of the particle.

Hence, if the field (B) and velocity (v ) are perpendicular to each other, then the particle takes a circular path.

And in the above equation , F is magnetic force on charge particle q & B is the magnetic field .

The magnetosphere of the earth can be explained in term of astronomy and planetary science as that, a magnetosphere is a region of space surrounding an astronomical object in which charged particles are affected by that object's magnetic field.

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