a car drives 215 km east and then 45 km north. what is the magnitude of the car's displacment

Answers

Answer 1

Final answer:

The magnitude of the car's displacement is approximately 220.7 km.

Explanation:

To find the displacement of a car, we can use the Pythagorean theorem. The car drives 215 km east and 45 km north. We can treat the east direction as the x-axis and the north direction as the y-axis. The displacement is the vector sum of the east and north components.

The east component of the displacement is 215 km and the north component is 45 km. Using the Pythagorean theorem, we can find the magnitude of the displacement:

|displacement| = sqrt((215 km)^2 + (45 km)^2) = sqrt(46625 km^2 + 2025 km^2) = sqrt(48650 km^2) ≈ 220.7 km

Therefore, the magnitude of the car's displacement is approximately 220.7 km.

Answer 2

Answer:

220

Explanation:


Related Questions

Which of the following is likely to contribute to geological events that take place on Earth?

Crust undergoing convective currents
Crust being of uniform thickness throughout
Crust being a single layer that surrounds Earth
Crust sitting on top of molten rock of the mantle

Answers

Crust sitting on top of Milton rock of the mantle

Answer:

Crust sitting on top of molten rock of the mantle

Explanation:

Earth's crust is the geological name for what we usually call the surface of the planet, and it is immediately above the molten rock of the mantle, the next layer of the planet.

The crust happens to be fragmented in large pieces or tectonic plates, that can be seen as "drifting" on the mantle's molten rock, also known as magma.

In some areas tectonic plates are drifting away, allowing magma to reach the surface (volcanoes for example), or the seabed (forming mid-oceans crests).

In other areas tectonic plates are crashing each other, causing earthquakes, tidal waves, mountain formation and other relevant geological events.

Five metal samples, with equal masses, are heated to 200oC. Each solid is dropped into a beaker containing 200 ml 15oC water. Which metal will cool the fastest? A) aluminum B) copper C) gold D) platinu Which sample of copper would demonstrate the GREATEST increase in temperature if 500 J of energy were added to the sample? A) 0.5 kg B) 1.0 kg C) 1.5 kg D) 2.0 kg Eliminate

Answers

Part 1) Which metal will cool the fastest?
To answer this question, we should have a look at the formula of the heat flow rate, which says "how fast" a material is able to heat/cool:
[tex] \frac{\Delta Q}{\Delta t} = -k \frac{A \Delta T}{x} [/tex]
where:
[tex]\Delta Q[/tex] is the heat exchanged
[tex]\Delta t[/tex] is the time interval
k is thermal conductivity of the material
A the  surface where the exchange of heat occurs
[tex]\Delta T[/tex] the variation of temperature
x is the thickness of the material
We see that the heat flow rate [tex] \frac{\Delta Q}{\Delta t} [/tex] is linearly proportional to k, the thermal conductivity of the material. So, the larger k, the fastest the metal will cool. 
If we have a look at the thermal conductivity of each metal, we find:
- Aluminium: 237 W/(mK)
- Copper: 401 W/(mK)
- Gold: 314 W/(mK)
- Platinum: 69 W/(mK)
Therefore, copper is the material with highest heat flow rate, so the metal which cools fastest.

Part 2) Which sample of copper demonstrates the greatest increase in temperature
To solve this part, we can have a look at how the amount of heat exchanged Q is related to the increase in temperature [tex]\Delta T[/tex]:
[tex]Q=m C_S \Delta T[/tex]
where m is the mass and Cs the specific heat of the material. Re-arranging the formula, we get
[tex]\Delta T= \frac{Q}{m C_s} [/tex]
therefore, we see that the increase in temperature is inversely proportional to the mass m. This means that the block that will show the largest increase in temperature is the block with the smallest mass, so the correct answer is A) 0.5 kg.

Answer:

platinum

Explanation:

According to the theory of plate to tonics how do two plates interact to form large mountain range

Answers

When the two plates converge or collide they start to build pressure and slowly they lift up and create mountains
The theory of plate tectonics states that the earth's crust is separated into plates that float on the semi molten mantle below. Mountain ranges are formed at convergent plate margins where an oceanic plate subducts beneath a Continental plate. The continuous compression over time cause the rocks to be faulted and folded upwards into ranges. The Andes was formed in this way.

Continental plates also collide. When this happens no plate subducts instead they are both folded and faulted upwards. The Himalayan mountain range was formed this way.

A 0.19 F capacitor is desired. What area must the plates have if they are to be separated by a 2.0 mm air gap? a= ?? m^2

Answers

a=.125m^2
Hope this helps you

Why is carbon monoxide such as dangerous form of indoor air pollution?

Answers

Carbon monoxide is as dangerous form of indoor pollution because it can be deadly.
Your red blood cells in the blood stream have a larger attraction for carbon monoxide that they do for oxygen. This means that you can breathe carbon monoxide It is dangerous, because it decreases the amount of oxygen. fine, but later on, it will eventually kill you. The reason it is so dangerous is because people may be breathing without knowing they are, and once they start. breathing it, then there is no escape.


Do you understand?????       




HURRY PLEASE
When using a calorimeter, the initial temperature of a metal is 70.4C. The initial temperature of the water is 23.6C. At the end of the experiment, the final equilibrium temperature of the water is 29.8C. What is the final temperature of the metal? ____ C What is the temperature change of the water? ____ C What is the temperature change of the metal? ____ C

Answers

temperature of a metal is29.8

temp. of water is 6.2

temp. change of metal -40.6

Answer:

The final temperature of metal is [tex]29.8\degree \,\mathrm C[/tex].

The temperature change of water is [tex]6.2 \degree \, \mathrm C[/tex]

The temperature change of the metal [tex]-40.6 \degree \, \mathrm C[/tex]

Explanation:

The term equilibrium means initial temperature and final temperature will be same. Thus, the the temperature of the water at thermal equilibrium, the final temperature of the metal must be the same [tex]29.8\degree \,\mathrm C[/tex].

Find the temperature change of water.

[tex]\mathrm {Change \, of\, temperature} =\mathrm{ Final\, temperature} - \mathrm {Initial\, Temperature}\\=29.8\,\mathrm C-23.6\,\mathrm C\\=6.2\,\mathrm C[/tex]

Find the temperature change of metal.

[tex]\mathrm {Change \, of\, temperature} =\mathrm{ Final\, temperature} - \mathrm {Initial\, Temperature}\\=29.8\,\mathrm C-70.4\,\mathrm C\\=-40.6\,\mathrm C[/tex]

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The tuning fork is producing a wave that contains compressions and rarefactions. It is a ________ wave.
A) compaction
B) transverse
C) latitudinal
D) longitudinal

Answers

The correct answer is D) Longitudinal.

In fact, when the tuning fork is hit, it starts to vibrate. Its vibration is transmitted to the surrounding air, creating an alternating pattern of regions of compression (higher pressure) and rarefaction (lower pressure). These regions then move away from the tuning fork, transporting the sound wave. Since the particles of air, in this case, move back and forth along the direction of propagation of the wave, this is a longitudinal wave.

Answer:

D)

Explanation:

The diagram shows light interacting with an object. which object is the light most likely striking?

Answers

Missing options in the question:
a) a window
b) a mirror
c) a plaster wall
d) a steel beam
And missing figure (see attachment)

Solution:
The right answer is a) a window.
The light, in fact, when encountering a window is refracted inside the glass and it changes path. This happens twice, also when the light escapes from the other side of the window. instead, for all the other options the light is simply reflected back without crossing the object, therefore the correct answer is the window.


Answer: a) A window

Explanation:

The answer is a because only a window reflects light like that

A student look at ocean waves coming into the beach. An oceanwavd with more energy will
A. Have a greater height
B. Have a greater period
C. Travel toward the beach faster
D. Strike the beach with greater frequency

Answers

C. Travel toward the beach faster
It is A, they will have a greater height. I just had this question so it's right. 

In the northern hemisphere, are the day lengths greater of less than 12 hours between the winter solstice and the spring equinox?

Answers

The winter solstice is the occasion of the shortest daylight. After that, daylight slowly increases, until it reaches 12 hours at the Spring equinox. Which hemisphere doesn't matter ... this is true in both uvum.

How do tests with crash dummies, seat belts, and air bags illustrate newton’s First law of motion

Answers

Newtons first law of motion states that an object at rest will remain at rest and an object in motion will stay in motion unless acted upon by an unbalanced force. Seat belts and air bags provide the stopping force for the crash test dummies.

Answer:

Newton law of inertia.

Explanation:

Newton first law states that if any object is in the motion or is in the state of rest then it will remain in that state till the external force is applied on that object. Inertia is the main reason of having seat belts and air bags in the car.

In this case, when seat belt trapped into the passenger than passenger experience same state of motion as car has.

When the car experience any kind of the collision then the car will stop abruptly. In this case seat belt and air bag will help in stopping the motion of passenger in the forward direction.

Therefore Newton's law of inertia is illustrated in test with seat belts, crash dummies, and air bags.

How does nitrogen from the air get into the bodies of plants and animals?

Answers

Final answer:

Nitrogen is fixed from the atmosphere into a usable form for plants by nitrogen-fixing bacteria, which convert N₂ into nitrates. Plants absorb these nitrates, which are then passed on to animals when they consume the plants. Soil bacteria play a key role in recycling nitrogen back into the atmosphere.

Explanation:Nitrogen Fixation and the Nitrogen Cycle

Nitrogen from the air gets into the bodies of plants and animals primarily through a process called nitrogen fixation. This is carried out by special bacteria known as nitrogen-fixing bacteria. These bacteria convert nitrogen gas (N₂), which plants cannot use, into a form that plants can absorb and utilize. The most common form is nitrate (NO₃⁻), which plants take in through their roots. Animals then obtain nitrogen by consuming plants or other animals that have eaten plants. After the nitrogen has been utilized by living organisms, bacteria in the soil convert waste products and dead organisms back into nitrogen gas through a process called denitrification, completing the nitrogen cycle.

There are different types of nitrogen-fixing bacteria, some live freely in the soil, while others form symbiotic relationships with the roots of certain plants, such as legumes. Cyanobacteria and Rhizobium are notable members of the nitrogen-fixing bacteria group. Additionally, lightning can also transform atmospheric nitrogen into nitrate, providing another source for the nitrogen cycle.

Which statement best describes what Kendall can do? She can measure the volume and mass of the marble, the volume and mass of the water, and the volume and mass of the graduated cylinder. She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder. She can measure the volume of the marble and water, and the mass of the graduated cylinder. She can measure the mass of the marble and water, and the volume of the graduated cylinder

Answers

Answer: its b

She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder.

Explanation:

i got it wrong it is b not A

Kendall can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder, therefore the correct answer is option B

What is the matter?

Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

As per the given problem The statement that can best describes what Kendall can do is that  She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder

The right response is option B since Kendall can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder.

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Which of the following is a process that occurs at divergent boundaries?
-----------
1. Formation of continental crust
-
2. Magnetic Reversals
-
3. Recycling of Crustals Material
-
4. Formation of Mid-Ocean Ridges

Answers

The appropriate answer is 4. The formation of Mid-Ocean ridges. There are two types of divergent margins: continental separation and oceanic floor spreading. Where the sea floor separates magma upwells and new oceanic crust is formed. Mid ocean ridges are home to hydrothermal vents. These support a unique ecosystem of marine organisms. The Mid- Atlantic Ridge where the African and Eurasian plates separate from the North and South American plates.

The chart above shows how a star's temperature relates to its color. Rigel is a blue star, Betelgeuse is a red star, and the Sun is a yellow star. How do the temperatures of these stars compare?

Answers

C. The Sun is hotter than Betelgeuse and cooler than Rigel. Is the answer, I just did this question on study island and got it correct. 

Answer:

The Sun is hotter than Betelgeuse and cooler than Rigel.

Explanation:

Maddie and Raul were looking at samples of pond water using the class microscope. They saw some things in the water. They thought the things might be alive, but were not sure. They did a search on-line and found this image. It looked like what they were seeing through the microscope lens. Were the students correct? Explain.

Answers

Yes, it has cell structure with a membrane and nucleus.

a small 24 kilogram canoe is floating downriver at a speed of 3 m/s.what is the canoe's kinetic energy .
{~please help fast ~}

Answers

That all depends who's measuring it.

... If one Physics student is standing on the riverbank, watching the canoe float by, he will measure the canoe's kinetic energy and say it's  108 Joules.

... If another Physics student is sitting on another boat, floating on the same river and watching the same canoe, she will say that the canoe has zero kinetic energy.

Both of them are correct. 

Explanation :

Mass of the canoe, m = 24 kg

Speed of the canoe, v = 3 m/s

Kinetic energy is said to be possessed due to the motion of the object and it is given as :

[tex]E_k=\dfrac{1}{2}mv^2[/tex]

v is the velocity of the canoe.

[tex]E_k=\dfrac{1}{2}\times 24\ kg\times (3\ m/s)^2[/tex]

[tex]E_k=108\ J[/tex]

So, the kinetic energy of the canoe is 108 J

Hence, this is the required solution.

if you leave home at 1:00 and get to your friends house at 5:00, what was the average speed?

Answers

Your average speed was

(the total distance you traveled to get from from your house to his house, in miles)
divided by
(4)

miles per hour.

In the northern hemisphere, southern winds tend to move to the ________________ because of the earth's rotation.

Answers

the answer is D. west. i took it on usa test prep.

In the northern hemisphere, southern winds tend to move to the west because of the earth's rotation.

What is the Coriolis effect?

The Coriolis Effect can be described as an apparent effect formed by a rotating frame of reference. The effect takes place when an object moves along a straight path. The Earth which rotates at a fixed speed is the moving frame of reference.

Coriolis force is defined as the perpendicular to the object’s axis. The Coriolis force acts north-south as the Earth spins on its axis from west to east and the Coriolis force is zero at the Equator.

Coriolis force appears to deflect the objects and kind of invisible force. The Coriolis force is calculated by the rate of rotation and mass of the object.

The Coriolis effect generates wind patterns that travel to the east toward the equator and to the west toward the poles near the earth’s surface. These prevailing wind patterns are accountable for moving clouds around the globe and creating weather in different regions.

Learn more about the Coriolis effect, here:

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A machine shovel moves dirt at the rate of 1,100 pounds of dirt 1 foot in 1 second. How many horsepower is this?

Answers

It depends on what direction it moves the dirt.

If it moves the dirt horizontally, then the answer depends on several more
quantities that we don't know about.

If it moves the dirt vertically, then the machine does

          (1100 lb x 1 ft) =  1,100 ft-lbs of work per second.

1 horsepower = 550 ft-lbs per second.

So the machine does work at the rate of

           (1100 ft-lbs / second) / (550 ft-lbs / second) 

       =           2 horsepower .

The machine shovel that moves 1,100 pounds of dirt 1 foot in 1 second exhibits 2 horsepower, based on the calculation that compares the work done in foot-pounds per second to the standard definition of one horsepower as 550 foot-pounds per second.

To calculate the amount of horsepower exhibited by a shovel machine moving 1,100 pounds of dirt 1 foot in 1 second, we can use the definition of horsepower. By definition, one horsepower is equal to 550 foot-pounds per second. The machine does 1,100 foot-pounds of work per second (since it moves 1,100 pounds over 1 foot in 1 second).

Now, we calculate the horsepower

Power (hp) = Work (foot-pounds per second) / 550

Power (hp) = 1,100 foot-pounds per second / 550

Power (hp) = 2 hp

Thus, the machine shovel operates at 2 horsepower.

What energy transformations occur in a tv remote?
Ex: for a battery in a flashlight it's chemical energy to electrical energy to light energy

Answers

Pressing the button: Mechanical to electrical 
Waste energy from this step: Mechanical to heat 
Converting electrical signal to IR: electrical to electromagnetic (infrared rays) 
Waste energy from this step: electrical to heat 
Chemical energy from battery: chemical to electrical

Pressing the button: Mechanical to electrical

Waste energy from this step: Mechanical to heat

Converting electrical signal to IR: electrical to electromagnetic (infrared rays)

Waste energy from this step: electrical to heat

Chemical energy from battery: chemical to electrical

What is the purpose of the three R’s of resource management?

Answers

The three R's of waste management, this waste hierarchy is the guidance suggested for creating a sustainable life.

The three R's of resource management stand for reduce, reuse, and recycle. Together, they form a cornerstone philosophy for managing our resources sustainably.

The first R, reduce, emphasizes the importance of cutting back on the amount of waste we produce and reducing our consumption patterns. Reuse encourages us to repurpose items instead of discarding them, thus extending their life cycle and diminishing the need to consume new resources. Lastly, recycle involves processing used materials to create new products, which conserves raw materials and reduces the need for energy-intensive manufacturing processes.

The purpose of the three R's is to: 1. Distribute resources fairly among people, ensuring that resources do not become excessively depleted by overconsumption. 2. Conserve resources so that they are available for future generations without running the risk of depletion. 3. Use resources in ways that do not harm ecosystems, maintaining the delicate balance of our environment.

Effectively applying these principles contributes to the sustainability of rural and regional communities, and ensures that resources are used wisely. This approach helps to transition society from consumerism to conservation, a concept proposed by environmental advocates like the Pollution Probe and governmental advisory boards such as Canada's Science Council in the early 1970s.

Waves transfer energy. What have you observed about light, sound, or water that could support this claim?

Answers

Light, sound, or water support the claim that waves transfer energy. The speed of light and sound is the same in some cases.

What is a wave?

A wave is a phenomenon that flows across a material medium without leaving any lasting mark. Mechanical or electromagnetic waves can be used to classify them. Transverse and longitudinal are the two main forms.

Waves transfer energy by causing particles to vibrate, yet the particles themselves travel in a perpendicular direction to the wave's horizontal movement.

As the particles travel from rest to movement and back to rest, energy is changed between potential and kinetic energy.

Hence light, sound, or water support the claim that waves transfer energy.

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a 40 N block exerts 20 Pa of pressure on a table. What is the area of the block that is touching the table?

Answers

Pressure is defined as a ratio between force and area at which force is acting:

[tex]pressure= \frac{force}{area} [/tex]

Now we solve this formula for area and we can calculate it.
[tex]area= \frac{force}{pressure} \\ area= \frac{40}{20} \\ area=2 m^{2} [/tex]

An airplane is accelerating forward due to a force of 3320 newtons acting 30 on it. Then it encounters wind resistance that exerts a backward force of 550 newtons. What is the net force, in newtons, acting on the airplane?

please help

Answers

For the purpose of the problem we can consider only the motion on the x-axis (horizontal direction).
We have two forces:the horizontal component of the force F of 3320 N acting forward, and the backward force of 550 N.
The horizontal component of the forward force is
[tex]3320 N \cdot cos 30^{\circ} = 2875 N[/tex]
So, the net force is
[tex]F_{net} = 2875 N - 550 N =2325 N[/tex]
in the forward direction.
 

Russian ice skater, Alina Zagitova, spins her way to projected Gold in the 2018 Olympics.
During one particular spin, she moves from a camel spin that rotates at about 95. RPM to a tight spin. If her rotational inertia changes from 129kgm² to 32kgm², what is the final spin rate of Miss Zagitova in rad/s and RPM

Answers


Given data:
Initial Rotational Inertia = 129[tex] kgm^{2} [/tex].
Final Rotational Inertia = 32[tex] kgm^{2} [/tex].
Initial RPM = N[RPM] = 95
Initial Angular velocity = ω = [tex](2 \pi /60).N[RPM][/tex] = 9.95
Final Angular Velocity = ω = ?

This question is perfect for applying the law of conservation of angular momentum because there is no net external torque acting on the system.

As angular momentum = (rotational inertia) * (angular velocity)

Initial Angular momentum = Initial Rotational Inertia * Angular Velocity
[tex]L_{i} [/tex]=129 * 9.95 = 1283.55;


And Law of Conservation of momentum is:
Initial Angular momentum = Final Angular momentum
1283.55= 32 * ω
Ans-1(in rad/s): ω= 40.1 rad/s

The conversion formula for [rad/s] to [RPM] = [tex](60/2 \pi ).[/tex]ω   
Put the value of ω in the above equation.
Ans-2(in RPM): = 382.9 RPM


-i

Sun warms up earth by

Answers

Hello,

Here is your answer:

The proper answer to this question is that the sun shoots violent radiation waves at the heart and the ozone layer protects it but absorbing so it heats the Earth!

If you need anymore help feel free to ask me!

Hope is helps!

If a bar of copper is brought near a magnet, the copper bar will be

Pennfoster:
A. attracted by the magnet.
B. unaffected by the magnet.
C. repelled by the magnet.
D. made into an induced magnet.

Answers

It will be unaffected by the magnet because it has no magnetic field. If you were to maybe have electricity going through it is the only way it would have anything to do with the magnet. 
  

Answer: Option B

Explanation: Copper is a non-ferrous material (like aluminuim for example), and the only materials affected by a magnet (or a magnetic field) are the ferrous ones, so the correct answer will be the option B, the copper will be unaffected by the magnet.

Cart A of inertia m has attached to its front end a device that explodes when it hits anything, releasing a quantity of energy E. This cart is moving to the right with speed v when it collides head-on with cart B of inertia 2m traveling to the left at the same speed v. The explosive goes off when the carts hit, causing them to rebound from each other. The initial direction of motion of cart A (to the right) is the +x direction.

Part A
If one-quarter of the explosive energy is dissipated into the incoherent energy of noise and deformation of the carts, what is the final velocity of cart A?
Express your answer in terms of the variables E, v, and m.

Part B
If one-quarter of the explosive energy is dissipated into the incoherent energy of noise and deformation of the carts, what is the final velocity of cart B?
Express your answer in terms of the variables E, v, and m.

Answers

We need to write down momentum and energy conservation laws, this will give us a system of equation that we can solve to get our final answer. On the right-hand side, I will write term after the collision and on the left-hand side, I will write terms before the collision.
Let's start with energy conservation law:
[tex]\frac{mv^2}{2}+\frac{2mv^2}{2}+0.75E=\frac{mv_{A}^2}{2}+\frac{2mv_{B}^2}{2}[/tex]
[tex]\frac{3mv^2}{2}+0.75E=\frac{mv_{A}^2}{2}+mv_{B}^2[/tex]
This equation tells us that kinetic energy of two carts before the collision and 3 quarters of explosion energy is beign transfered to kinetic energy of the cart after the collision.
Let's write down momentum conservation law:
[tex]mv+2mv=mv_A+2mv_B\\ 3mv=mv_A+2mv_B\\ [/tex]
Because both carts have the same mass we can cancel those out:
[tex]3v=v_A+2v_B[/tex]
Now we have our system of equation that we have to solve:
[tex]\frac{3mv^2}{2}+0.75E=\frac{mv_{A}^2}{2}+mv_{B}^2\\ 3v=v_A+2v_B[/tex]
Part A
We need to solve our system for [tex] v_a[/tex]. We will solve second equation for [tex]v_b[/tex] and then plug that in the first equation.
[tex]3v=v_A+2v_B\\ 3v-v_A=2v_B\\ v_B=\frac{3v-v_A}{2}[/tex]
Now we have to plug this in the first equation:
[tex]\frac{3mv^2}{2}+0.75E=\frac{mv_{A}^2}{2}+mv_{B}^2\\v_B=\frac{3v-v_A}{2}\\ [/tex]
We will multiply the first equation with 2 and divide by m:
[tex]3v^2+\frac{3E}{2m}=v_{A}^2}+2v_{B}^2\\v_B=\frac{3v-v_A}{2}\\ [/tex]
Now we plug in the second equation into first one:
[tex]3v^2+\frac{3E}{2m}=v_{A}^2}+2v_{B}^2\\ 3v^2+\frac{3E}{2m}=v_{A}^2}+2\frac{(3v-v_A)^2}{4}\\ 3v^2+\frac{3E}{2m}=v_{A}^2}+\frac{9v^2-6v\cdot v_A+v_{A}^2}{2} /\cdot 2\\ 6v^2+\frac{3E}{m}=2v_{A}^2+9v^2-6v\cdot v_A+v_{A}^2}\\ 3v_A^2-6v\cdot v_a+3(v^2-\frac{E}{m})=0/\cdot\frac{1}{3}\\ v_A^2-3v\cdot v_A+ (v^2-\frac{E}{m})=0 [/tex]
We end up with quadratic equation that we have to solve, I won't solve it by hand. 
Coefficients are:
[tex]a=1\\ b=-6v\\ c=v^2-\frac{E}{m}[/tex]
Solutions are:
[tex]v_A=\frac{3v+\sqrt{5v^2+\frac{4E}{m}}}{2},\:v_A=\frac{3v-\sqrt{5v^2+\frac{4E}{m}}}{2}[/tex]
Part B
We do the same thing here, but we must express [tex] v_a[/tex] from momentum equation:
[tex]3v=v_A+2v_B\\ v_A=3v-2v_B[/tex]
Now we plug this into our energy conservation equation:
[tex]3v^2+\frac{3E}{2m}=v_{A}^2}+2v_{B}^2\\v_A={3v-v_B}\\ 3v^2+\frac{3E}{2m}=(3v-v_B)^2+2v_B^2\\ 3v^2+\frac{3E}{2m}=9v^2-6v\cdot v_B+v_B^2+2v_B^2\\ 3v^2+\frac{3E}{2m}=3v_B^2-6v\cdot v_B+9v^2\\ 3v_B^2-6v\cdot v_B+9v^2-3v^2-\frac{3E}{2m}=0\\ 3v_B^2-6v\cdot v_B+(6v^2-\frac{3E}{2m})=0 [/tex]
Again we end up with quadratic equation. Coefficients are:
[tex]a=3\\ b=-6v\\ c=6v^2-\frac{3E}{2m}[/tex]
Solutions are:
[tex]v_B=\frac{6v+\sqrt{-36v^2+\frac{18E}{m}}}{6},\:v_B=\frac{6v-\sqrt{-36v^2+\frac{18E}{m}}}{6}[/tex]



An igneous rock sample is about 250,000 years old. Would you use uranium-lead radiometric dating to find its age?

Answers

you would use radiometric dating to find its age.
Other Questions
A videos storyboard shows _____. the sequence of events the dates and times when each scene will be shot the characters motivations the production teams responsibilities "every man put himself into triumph: some to dance, some to make bonfires, each man to what sport and revels his addition leads him" nfs What was the name giving to journalists who focused on the poverty and corruption in the cities? A. Muckrakers B. Reformers C. Carpetbaggers D. Crusaders !100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!! A toy manufacturer ships a toy in one of two different size boxes. The small box contains 6 of the toy and the large box contains 10 of the toy.A client orders no fewer than 100 of the toy. Based on his storage and sales needs, the client requires that he receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.The cost to the client for a small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200 for his order of toys.Let x represent the number of small boxes and y represent the number of large boxes.What constraints are placed on the variables in this situation? List at least four healthcare professionals with important roles in the healthcare system. How did fundamentalism and nativism affect society in the 1920s? In Paul Laurence Dunbar's poem, "Sympathy", lines 12-14 suggest that...as the bird gets older, its hopeful desire for freedom increases.the bird has given up hope due to a lifetime of captivity.the bird could enjoy its captivity if only it would stop fighting.the bird is so crippled, it will never be able to enjoy freedom. What does Santiago envy about the intense wind called the levanter? A) Its ability to be everywhere and nowhere at the same timeB) Its boldnessC) Its ability to soothD) Its freedom A hybrid car averages 609 miles on a 12.5 gallon tank of gas. Manuel is planning a 1290- mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn. Some mothers feed their infants when they show signs of hunger, whereas others fail to respond predictably to their infants' demands for food. these different maternal feeding practices are most likely to contribute to differences in infant which of the following correctly defines the term free indirect speech Which team sports can end in a tie game?A. Baseball & SoccerB. Soccer & HockeyC. Basketball & FootballD. None of the above The oxygen gas produced in part a has a density of 1.43g/l.calculate the volume of of the o2 gas produced pg 76 Solving quadratics by factoring 3x^2+33x+30=0 Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x If a painting is being recreated in text form, what would most likely be different or added in the new medium?A.The character's thoughts B.The character's physical appearance C.The elements of setting D.The mood of the story Is this pattern a net for the three dimensional figure ? You use a balance to find the mass of a folded newspaper. Then you run it through a shredder. Predict its mass after being shredded. A) The two masses cannot be compared because a physical change has occcured. B) The mass of the shredded paper will be equal to the mass of the folded paper. C) The mass of the shredded paper will be less than the mass of the folded paper. D) The mass of the shredded paper will be greater than the mass of the folded paper. Title: The History of the American Automobile I. Introduction A. Americans originally resisted the automobile II. Body A. American car ownership in the 1900s 1. (supporting detail) B. Henry Fords invention of the assembly line 1. (supporting detail) III. Conclusion A. American use of the automobile today From the outline, determine where to put the sentence below in a rough draft about the history of the American automobile. Thus, Americans depend on automobiles for all aspects of modern life, and car manufacturers can now keep up with the constant demand for cars. in the body of the essay as a supporting detailin the conclusionin the introductionin the body of the essay as a topic sentenceplzzzz hel[p plzzzzzzzzzzzzzz plzzzzzzz help fast plzzz