Part A The integral with respect to time of a force applied to an object is a measure called impulse, and the impulse applied to an object during a time interval determines its change in momentum during the time interval. The safety of a t-shirt launcher, used to help get crowds cheering at baseball games, is being evaluated. As a first step in the evaluation, engineers consider the design momentum of the launched t-shirts. The springs in the launcher are designed to apply a variable force to a t-shirt over a time interval of tu=0.5 s. The force as a function of time is given by F(t) = at' + b, where a = -28 N/s' and b = 7.0 N. F (t) dt. By applying the given time The momentum of the t-shirt will be its initial momentum (po = 0) plus its change in momentum due to the applied impulse: pj=po+ S dependent function for F(t) and performing the integration, which of the following is the correct expression for p/? View Available Hint(s) P = 0+ )6 0+*+8 +b)16 0+(+3 + bt) 0+ +) Submit Previous Answers ✓ Correct We check that we have obtained the correct form of the integral by performing differentiation of t + bt with respect to t, which gives at +b= F(t) as expected. Correct If the Jadarian-Ruby had been properly maintained, GAJMO Nermalloy would be able to successfully complete the delivery mission. The result can be found using KE2 = KE + F(2) dr. When F(2) is constant, F(2) = Fo, and the result of the integral is simply FoAr. That is, the measure of work represented by the integral is exactly the measure of the rectangle with height Fo and width Ar. For functions of other forms, rectangles only approximate the measure, and the integral allows us to evaluate the measure in the limit that the rectangles have infinitesimal width and the measure becomes exact. Part E Evaluate the final kinetic energy of the supply spacecraft for the actual tractor beam force, F(x) = ax + 8. View Available Hint(s) KE = 1.07. 1010 J Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining

Answers

Answer 1

The final kinetic energy of the supply spacecraft is [tex]6.4 *10^{11} J[/tex] and final kinetic energy of the supply spacecraft can be found using the work-energy principle.

The work done by the tractor beam force can be found by integrating the force with respect to distance. Since the force is a function of x, we need to express the distance traveled by the spacecraft as a function of x. We know that the spacecraft starts from rest at x = 0 and moves a distance of [tex]4.0 * 10^5 m[/tex], so we have:

[tex]x = 0 + (1/2)ax^2 + 8x[/tex]

We can simplify this expression to:

[tex]x = (1/2)ax^2 + 8x[/tex]

Now we can express the work done by the tractor beam force as an integral:

W = ∫ F(x) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]

W = ∫ (ax + 8) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]

[tex]W = (1/2) a (4.0 * 10^5)^2 + 8 (4.0 *10^5)[/tex]

[tex]W = 6.4 * 10^{11} J[/tex]

The work done by the tractor beam force is [tex]6.4 * 10^{11} J[/tex].

Since the work done on the spacecraft is equal to the change in kinetic energy of the spacecraft, we have:

W = KE2 - KE

where KE is the initial kinetic energy of the spacecraft, which is zero.

Therefore, the final kinetic energy of the spacecraft is:

[tex]KE2 = W = 6.4 *10^{11} J[/tex]

So the final kinetic energy of the supply spacecraft is [tex]6.4 * 10^{11} J[/tex].

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Related Questions

Where on the physical activity pyramid do sedentary activities belong? a. A b. B c. C d. D please select the best answer from the choices provided.

Answers

In the physical activity pyramid, sedentary activities belong to Level D.

The Physical Activity Pyramid is a graphic representation of the different types of physical activities that are recommended for a healthy lifestyle.

The pyramid is divided into four levels, with the most important activities at the bottom and the least important at the top. The greatest and most significant activities for healthy everyday life are at the bottom and the least healthy activities at the top, which you should only perform occasionally.

Sedentary activities, which are activities that involve little or no physical movement, belong at the top of the pyramid, in Level D.

Level D is the smallest section of the pyramid, and it represents activities that should be limited in order to maintain good health.

Hence, option D is the correct choice.

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What is the mass of a car possessing 15,000 kg*m/s of momentum going a speed of 35 m/s?

A.525000 kg
B.428.6 kg
C.14965 kg
D.0.0023 kg​

Answers

Answer: B is correct

Explanation: The mass of the car can be calculated using the equation: mass = momentum / velocity Therefore, the mass of the car is: mass = 15,000 kg*m/s / 35 m/s mass = 428.6 kg

The answer will be B.

Which statements are inconsistent with Dalton’s atomic theory as it was originally stated? Why?
a. All carbon atoms are identical.
b. An oxygen atom combines with 1.5 hydrogen atoms to form a water molecule.
c. Two oxygen atoms combine with a carbon atom to form a carbon dioxide molecule.
d. The formation of a compound often involves the destruction of one or more atoms.

Answers

Statement b and d are inconsistent with Dalton's atomic theory.

Dalton's atomic theory, as originally stated, includes the following postulates:

All matter is made up of tiny, indivisible particles called atoms.

All atoms of a given element are identical in mass and properties.

Compounds are formed when atoms of different elements combine in fixed ratios.

Chemical reactions involve the rearrangement of atoms; no atoms are created, destroyed or changed into atoms of another element.

Statement b contradicts postulate 3 by suggesting that a water molecule is formed from 1.5 hydrogen atoms and 1 oxygen atom. However, in Dalton's theory, atoms combine in whole-number ratios to form compounds.

Statement d contradicts postulate 4 by suggesting that the formation of a compound involves the destruction of one or more atoms. However, in Dalton's theory, atoms are neither created nor destroyed in chemical reactions. Instead, they are rearranged to form new compounds.

Statement a and c are consistent with Dalton's atomic theory as all atoms of a given element are identical in mass and properties and compounds are formed when atoms of different elements combine in fixed ratios.

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If the back of the truck is 1.3 m above the ground and the ramp is inclined at 28 ∘ , how much time do the workers have to get to the piano before it reaches the bottom of the ramp?

Answers

According to the problem Plugging in our values, we get a time of 1.29 seconds.

What is time?

Time is the indefinite continued progress of existence and events that occur in apparently irreversible succession from the past through the present to the future. It is an abstract concept that measures the duration of an event or the interval between two events.

The time it takes for the piano to reach the bottom of the ramp can be calculated using basic kinematic equations. First, we must find the initial velocity of the piano as it starts down the ramp. This can be calculated using the formula v = gsinα, where v is velocity, g is the gravitational acceleration (9.81 m/s2 on Earth), and α is the angle of the incline (in this case 28°).
Using this equation, we get an initial velocity of 3.83 m/s.
Next, we need to find the distance that the piano will travel before it reaches the bottom of the ramp. This can be calculated using the formula d = 1/2 gt2, where d is distance, g is the same gravitational acceleration, and t is the time it takes for the piano to reach the bottom of the ramp.
Plugging in our initial velocity from before, we can rearrange the equation to solve for t. We get t = √(2d/g), where d is the distance that the piano needs to travel (in this case, 1.3 m). Plugging in our values, we get a time of 1.29 seconds.

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hellppplpp me on this besties

Answers

The acceleration of the car is  2.5 m/s² to the right.

What is the acceleration of the car?

The acceleration of the car is calculated by applying Newton's second law of motion as shown below.

F  (net ) = ma

F - Ff = ma

where;

m is the mass of the cara is the acceleration of the carFf is the force of friction of the carF is the applied force of the car

3400 N - 400 N = 1200a

3000 = 1200a

a = 3000 / 1200

a = 2.5 m/s² to the right

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Order the three phases of bromine by distance between bromine particles, from least to greatest.

Answers

The three phases of bromine are: liquid, gas, and solid. To order these phases based on the distance between bromine particles, from least to greatest.

We need to consider how the intermolecular forces change as the temperature and pressure change.

In the solid phase, bromine molecules are packed tightly together, with the minimum distance between particles. This is because the intermolecular forces, including London dispersion forces and dipole-dipole forces, are strong enough to hold the particles in a fixed position.

In the liquid phase, the bromine molecules are further apart than in the solid phase, but still close enough to experience intermolecular forces. The temperature of the liquid is high enough to overcome the attractive forces and cause the particles to move about more freely, but not enough to separate the particles completely.

In the gas phase, the bromine molecules are separated by the greatest distance, with no strong intermolecular forces to hold them in place. The high temperature of the gas causes the particles to move rapidly, colliding with each other but not sticking together.

Therefore, the order of the three phases based on the distance between bromine particles is solid < liquid < gas.

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An object travels 15 meters in 5 seconds. What is that object's speed in meters per second?

Answers

Answer:

The object's speed is 3 meters per second.

Explanation:

A truck moving across an ice road is spreading sand across the ice.  The truck can be considered a closed, isolated system.  Which of the following is true? A. The mass of the truck decreases with no change in the velocity of the truck B. The mass of the truck decreases while the velocity of the truck increases. C. The mass of the truck decreases while the velocity of the truck decreases. D.The mass of the truck remains the same while the velocity of the truck remains the same.​

Answers

The mass of the truck decreases while the velocity of the truck increases.  Option B

What is a closed system?

A closed system is a system in which matter cannot enter or leave the system, but energy can be exchanged between the system and its surroundings. In other words, a closed system is isolated from its environment in terms of mass, but not in terms of energy.

Closed systems can be found in many different areas of science and engineering, including thermodynamics, mechanics, and engineering. For example, in thermodynamics, a closed system is a system in which heat can be transferred between the system and its surroundings, but no mass can be transferred. In mechanics, a closed system is a system in which the total momentum of the system remains constant, regardless of any external forces acting on the system.

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excavation costs are based on the
A. amount of earth removed
B. depth of the frost line in the area
C. time involved multiplied by a standard rate
D. sophistication of the machinery necessary

Answers

Answer:

C

Explanation:

Excavation costs are generally based on the time involved multiplied by a standard rate.

The words technology and ideology both contain the suffix -ology. Based on this information, what the does the suffix -ology MOST LIKELY mean?

Answers

The words technology and ideology both contain the suffix -ology. Based on this information,the suffix -ology means something added to the end of something else.

What is a suffix?

After a word's stem, an affix is called a suffix. Common examples are verb endings, which constitute the conjugation of verbs, case endings, which show the grammatical case of nouns, and adjectives. Inflectional and lexical suffixes are two types of suffixes that can carry grammatical information. a grammatical or inflectional suffix When a word is inflected in this way, its syntactic category and grammatical qualities are altered. Class-changing and class-maintaining derivational suffixes are the two types of derivational suffixes.Suffixes are known as affirmatives because they have the aabilitybility to change the form of words, especially in the study of Semitic languages.

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Water has a specific heat of 4184 Jkg⋅∘C. How much energy is needed to increase the temperature of a kilogram of water5∘C?

Answers

The specific heat capacity of water is 4184 and it needs 20920J energy to increase the temperature of a kilogram of water 5 degree celcius.

The amount of heat required to raise the temperature of one gramme of a substance by one degree Celsius. Specific heat is usually measured in calories or joules per gramme per Celsius degree. Water, for example, has a specific heat of 1 calorie (or 4.186 joules) per gramme per Celsius degree.
A substance's specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of that substance by 1oC. (or 1K). The SI unit of measurement is joule per kilogramme per kelvin (Jkg-1K-1).

By using the equation:-

Q= mCΔmCΔTT

(where, Q= energy, m= mass of the sample, C= specific heat of the sample and delta T is the change in temperature).

[tex]Q= 1kg*4184J*(5-0)= 20920J.[/tex]

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5. On some highways, exit signs are numbered according to the number of kilometres the
exit is from the place where the highway originated. If you are driving south and pass
exit 35 at 2:15 pm and then you pass exit 116 at 3:09 pm, what is your velocity in m

Answers

Answer:

We can start by using the formula:velocity = distance/timeFirst, we need to calculate the distance traveled in kilometers.

To do this, we can subtract the exit numbers:

116 km - 35 km = 81 km

Next, we need to convert the time difference from hours and minutes to hours:

3:09 pm - 2:15 pm = 0.9 hours

Now we can use the formula to find the velocity:

velocity = 81 km / 0.9 hours

velocity ≈ 90 km/h

Finally, we can convert this velocity to meters per second by multiplying by 1000/3600:

velocity = 90 km/h x 1000 m/km / 3600 s/h

velocity ≈ 25 m/s

Therefore, your velocity is approximately 25 m/s.

Explanation:

A force of 227 N is spread over an area of 3 m². What is the pressure?

Answers

Answer:

Explanation:

p=227/3=75.66Pascal

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Pressure is defined as : Force per unit Area

[tex]\qquad \sf  \dashrightarrow \: p = \dfrac{force}{area} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = \dfrac{227}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p \approx75.67 \: \: pascals[/tex]

[ note : to get pressure in pascals, force and area should be in S.I unit, it's given in S.I unit in given question, but if not you can make conversion first and then solve ]

Question 6 of 10
When making a winter coat, you should pick a fabric that has which
characteristic?
A. Heavyweight
OB. Warm
C. Resistant to wear
D. All of the above

Answers

Answer: Warm

Explanation:

Students are conducting an experiment. One student has kept 3 books and another student 6 books. They are using a ramp with same size and dimensions. They are measuring the distance travelled by the car. What they are trying to find out? Will you be able to predict the outcome and give conclusion for that experiment?

Answers

A student conducts an experiment to find the speed of a toy car that has been released from various heights on a ramp as it reaches the bottom of the ramp.

What are the outcomes of the experiment?

The student may need to obtain more height measurements in order to confirm the accuracy of his experiment and thereby enhance it. By averaging all the heights, it is now possible to determine the height's accuracy.

The results show the speed of a toy car from different heights measurements and can be improved by doing different trials.

Therefore, students try to find out the speed of a toy car from different heights.

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in the vector diagram below, the magnitude of A is 15m, the magnitde of B is 18m and the magnitude of C is 6m. Find the resultant vector using component method. Angle A = 35 Angle B = 30 Angle C = 50.

Answers

Answer:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Explanation:

what present day conditions could be compared to conditions during the Cretaceous

Answers

Present day conditions that could be compared to conditions during the Cretaceous include global warming, rising sea levels, and increased extinctions. During the Cretaceous period, global temperatures were much higher than they are today, leading to rising sea levels. Additionally, the period was marked by a large number of extinctions due to climate change and other factors. These conditions are similar to the ones seen today, as global temperatures continue to rise, sea levels continue to increase, and biodiversity continues to decline.
Final answer:

Present-day conditions that are similar to the Cretaceous period include a warm climate and high sea levels. However, today's situations are influenced by human activities unlike those in the Cretaceous era.

Explanation:

The Cretaceous period was marked by a warm climate, high sea levels, and abundant green life. Some present-day conditions might mirror those of the Cretaceous period. For instance, current issues like global warming and rising sea levels are somewhat akin to conditions in the Cretaceous. Nonetheless, it's crucial to remember that modern situations are influenced by anthropogenic activities, whereas Cretaceous conditions were primarily determined by natural processes.


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A cement block accidentally falls from rest from the ledge of a 84.9-m-high building. When the block is 16.6 m above the ground, a man, 1.90 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the way?

Answers

The man has at most 3.55 s to get out of the way.

What is  kinematic equations?

Kinematics can be defined as a subfield of physics developed in classical mechanics that describes the motion of points, bodies and systems of bodies without considering the forces that cause them to move.

We can solve this problem using kinematic equations.

First, we can find the time it takes for the block to fall from a height of 84.9 m using the formula:

y = 1/2 * g * t^2

where

y is the distance fallen (84.9 m)g is the acceleration due to gravity (9.81 m/s^2) t is the time

Rearranging this equation, we get:

t = sqrt(2y/g) = sqrt(2 * 84.9 m / 9.81 m/s^2) = 4.09 s (to two significant figures)

So the block will hit the ground after 4.09 s of falling.

Next, we can find the time it takes for the block to fall from a height of 16.6 m using the same formula:

t = sqrt(2y/g) = sqrt(2 * 16.6 m / 9.81 m/s^2) = 1.41 s (to two significant figures)

So the block will take 1.41 s to fall from a height of 16.6 m to the ground.

The man has to get out of the way before the block falls the remaining distance of (84.9 - 16.6) = 68.3 m. We can find the time it takes for the block to fall this distance using the same formula:

t = sqrt(2y/g) = sqrt(2 * 68.3 m / 9.81 m/s^2) = 3.55 s (to two significant figures)

Therefore, the man has at most 3.55 s to get out of the way.

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"If your primary goal is to build strength and increase muscle mass, you could____

increase the amount of aerobic activity

expand the number of anaerobic activities per week

complete workout sets of high repetitions and low weight (example: 3 sets of 20 repetitions with 5lb or less)

Answers

If one's primary goal is to build strength and increase muscle mass, completing workout sets of high repetitions and low weight is correct that is the last option, as the aerobic activity would not increase the muscle.

What is the importance of the muscle-building exercise?

Anaerobic activities should be prioritized because they force the muscles to work at high intensity for short periods of time; this type of training is typically done with heavy weights for fewer repetitions and sets and builds the muscles.

Hence, if one's primary goal is to build strength and increase muscle mass, completing workout sets of high repetitions and low weight is correct that is the last option, as the aerobic activity would not increase the muscle.

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What is the average distance from Sun in AU of an object with a planetary object with orbital period of 325 years?

Answers

Answer: So, the average distance from the Sun of a planetary object with an orbital period of 325 years is approximately 40.0 AU.

Explanation:

The average distance from the Sun (in astronomical units) of a planetary object with an orbital period of 325 years can be estimated using Kepler's Third Law of Planetary Motion. This law states that the square of the orbital period (T) of a planet is proportional to the cube of its average distance from the Sun (r):

T^2 = k * r^3

where k is a constant. We can rearrange this equation to solve for r:

r = (T^2 / k)^(1/3)

The value of k depends on the units used for T and r, so it is important to make sure that the units are consistent. If T is in years and r is in astronomical units (AU), then k has a value of approximately 4π^2.

Using this formula, we can estimate the average distance from the Sun of a planetary object with an orbital period of 325 years:

r = (325^2 / (4 * π^2))^(1/3)

r ≈ 40.0 AU

So, the average distance from the Sun of a planetary object with an orbital period of 325 years is approximately 40.0 AU.

A yoga instructor weighing 490 N sits, meditating, on a plane that is inclined 20.0° above the horizontal. Find the components of the weight forces that are parallel and perpendicular to the plane.

Answers

The vector components of the weight force parallel to the plane is 463.4 N, and the component perpendicular to the plane is 166.8 N upward.

What are the vector components?

A quantity which has both magnitude and direction is termed as a vector quantity. It can be divided into two components in 2-dimensional plane: The vertical component and the horizontal component.

The weight force, which is equal to the force of gravity acting on the yoga instructor, has a magnitude of 490 N, which we can decompose into its vertical and horizontal components using trigonometry:

Vertical component = weight force x sin(20°)

= 490 N x sin(20°)

= 166.8 N (upward)

Horizontal component = weight force x cos(20°)

= 490 N x cos(20°)

= 463.4 N (parallel to the plane)

So the component of the weight force parallel to the plane is 463.4 N, and the component perpendicular to the plane is 166.8 N upward.

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A student is playing with a magnetic compass near a bar magnet. At a range of 10 cm, they notice that the compass needle is pulled slightly towards the magnet. What would they see if the compass was moved to 8 cm?
A. The needle would not move from its original deflection.
B. The needle would be pushed in the opposite direction.
C. The needle would be pulled more towards the magnet.
D. The needle would return closer to its normal position.

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

As the boy moves the bar magnet towards the magnetic compass, the needly is pulled slightly towards the bar magnet, so if he deduct the separation to 8 cm, most probably the needle would be pulled more towards the bar magnet.

Hence, the correct choice will be : (c)

Answer: c I think

Explanation I think its c

A personal training log is a record of your physical activity. It should be created in a table (Microsoft Word) or spreadsheet (Excel) format. The log should contain enough information so that you know what dates you exercised on, what activity(s) you did, how long you spent exercising, and any weights used (if applicable). It should also contain a spot to note personal fitness improvements made with each exercise session.
The final requirement is to set a fitness goal for yourself. What do you want to accomplish by being physically active? Some examples include losing weight, gaining muscle strength, improving cardiovascular conditioning or getting ready for a competition. These are just examples though. Your goal can be anything you want to achieve in relation to your physical health. Write your goal above your log.
You will first submit this log blank for review by your teacher by uploading it as an attachment (do not use the answer box). At the end of the course in the lesson entitled "Racewalking", you will be submitting your completed log to determine how well you have done with achieving your fitness goals.

Answers

A scenario of how the log will be is given in the image attached.

What is the training log?

In this scenario attached, the individual has set a goal of increasing their muscle strength and overall fitness. They have been keeping track of their exercises in a log, noting the date, activity, time, weights used, and improvement from the last session.

Therefore, As shown in the log, the individual has been progressively increasing the weights used in each exercise, which is a sign of improvement and progress towards their goal. By keeping this log, the individual can easily track their progress and make adjustments to their training routine as needed.

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What is the mathematical expression for the quantization of energy in a system described by the Schrödinger equation and how does it relate to the concept of quantized energy levels in an atom?

*Answer = 50 Points

Answers

Answer:

The mathematical expression for the quantization of energy in a system described by the Schrödinger equation is given by the eigenvalue equation:

HΨ = EΨ

Where H is the Hamiltonian operator, Ψ is the wave function, and E is the eigenvalue that represents the quantized energy of the system.

The concept of quantized energy levels in an atom is related to the quantization of energy in the Schrödinger equation. In quantum mechanics, atoms can only exist in certain energy levels or states, which are determined by the solutions to the Schrödinger equation. These energy levels are quantized, meaning that the energy can only take on specific values, and not any value in between. This results in the characteristic spectra of atomic systems, where the electrons in an atom can only transition from one energy level to another by absorbing or emitting a photon with an energy that corresponds to the difference in energy between the two levels.

In summary, the quantization of energy in a system described by the Schrödinger equation is the foundation for the concept of quantized energy levels in atoms, which has important implications for our understanding of the behavior of atoms and the properties of materials.

If a piece of stone has attained a velocity of 88.2 m/s after falling for eight seconds what was its initial velocity

Answers

Answer:

the stone's final speed just before hitting the ground is: v = √(2 × 9.81 × 90) m/s = √(1765.8) m/s = 42.0 m/s.

In which collision(s) is kinetic energy conserved?
A.Elastic
B.Inelastic
C.Perfectly inelastic​

Answers

Answer:

Explanation:

A elastic

Impulse is equal to ... (pick TWO answers)

A. the change in momentum of an object.
B. the change in mass of an object.
C.the change in volume of an object.
D. a force applied to an object for a period of time.
E. the original momentum of the object.​

Answers

Answer:

A

Explanation:

Momentum change is basically impulse

Object possessing more velocity after bouncing OR the object which bounces more have more impulse

Problem:
Ash throws a Pokéball at an upwards angle of 30° above the horizontal with a speed of 5m/s
trying to catch a shiny Castform. If the Castform is on the ground and hit, find how far away it
was, as well as the max height the ball reaches. Assume the acceleration of the gravity for the
planet they are on has a value of g=9.8m/s^2 and we can ignore air resistance.
Draw a well labeled diagram of the physical situation. Make sure the initial velocity is drawn as
a vector and the trajectory is drawn, showing the coordinate axes with directions. Label
accelerations and the point where the ball reaches max height.
Hints: break the initial velocity into x and y parts, solve the y parts of the problem to find the
time, then use the result to solve the y parts.

Answers

Answer:

Explanation:

Here is a step by step explanation of how to solve the problem:

Break the initial velocity into x and y components. The velocity of the Pokéball can be broken down into two components: the horizontal component (vix) and the vertical component (viy). The horizontal component remains constant throughout the motion and has a value of vix = vcosθ, where v is the magnitude of the velocity and θ is the angle of launch. The vertical component changes due to the acceleration of gravity and has a value of viy = vsinθ - gt, where t is time.

Solve for the time of flight. We want to find the time it takes for the Pokéball to reach its maximum height, so we need to set viy = 0 and solve for t:

0 = vsinθ - gt

gt = vsinθ

t = vsinθ / g

Calculate the maximum height. The maximum height is reached when the vertical component of velocity is equal to zero, so we can use the equation:

h = viy^2 / (2g)

h = (vsinθ)^2 / (2g)

Calculate the range. The range is the horizontal distance traveled by the Pokéball during its flight, and it can be found using the equation:

x = vix * t

x = vcosθ * (vsinθ / g)

Draw a well labeled diagram of the physical situation. Draw the coordinate axes, showing the directions, and label the initial velocity as a vector. Show the trajectory of the Pokéball, including the point where it reaches its maximum height, and label the acceleration due to gravity.

Electric rail cars often use magnetic braking. The brake consists of a set of electromagnets that are held just above the rails. To brake the train, the electromagnets are switched on, creating a magnetic field that induces eddy currents in the metal rails passing beneath them. In the figure, which of the choices correctly represents the eddy currents induced in the rails? The diagrams represent a view from above, looking down at the rail through the electromagnet. The electromagnet moves to the right, and the magnetic field points into the screen.
Choose the correct answer A,B,C, or D

Answers

The correct choice for the direction of the eddy currents induced in the rails is option A,

As the electromagnet moves to the right and the magnetic field points into the screen, the magnetic flux passing through the metal rails changes, which induces eddy currents in the rails. These eddy currents produce their own magnetic field that opposes the motion of the electromagnet and slows down the train.

              Based on the given information, we can determine that the correct choice for the direction of the eddy currents induced in the rails is option A, which shows a circular current flowing in a clockwise direction as viewed from above. This direction of the eddy currents corresponds to Lenz's law, which states that the direction of the induced current will be such that it opposes the change in the magnetic field that produced it. In this case, the eddy currents produce a magnetic field that opposes the motion of the electromagnet, creating a braking force on the train.

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define henry and its dimnsions

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Answer:

The henry (symbolized H) is the International System of Units (SI) derived unit of electrical inductance. Reduced to base SI units, one henry is the equivalent of one kilogram meter squared per second squared per ampere squared (kg m2 s-2 A-2).

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