Imagine that you are hovering next to a space shuttle and your buddy of equal mass who is moving a 4km/h with respect to the ship bumps into you if he holds onto you how fast do you both move with respect to the ship

Answers

Answer 1

The two individuals will move together with a velocity of -2 km/h.

What is the common velocity after the collision?

Assuming that the initial velocity of the space shuttle is zero, and neglecting the effect of gravity, the total momentum of the system before the collision is zero, since the space shuttle and the two individuals are at rest. After the collision, the momentum of the system must still be zero, since there are no external forces acting on it.

If your buddy bumps into you and holds onto you, the two of you will move together with a common velocity.

Since your buddy has a velocity of 4 km/h with respect to the ship, the momentum of your buddy before the collision is:

momentum = mass x velocity = m x v = m x 4 km/h

To conserve momentum, the momentum of the two individuals after the collision must also be equal to m x (-4 km/h), since the momentum is opposite in direction.

Since the two individuals have the same mass, their common velocity after the collision can be calculated as:

momentum = mass x velocity = 2m x v'

where;

v' is the common velocity of the two individuals after the collision.

Therefore:

2m x v' = m x (-4 km/h)

v' = (-4 km/h) / 2 = -2 km/h

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Related Questions

Design a diagram, sketch, or other model to show changes in the nucleus of an atom during nuclear fission and fusion. Include a short description and a way to compare the amounts of energy released in each event

Answers

Explanation:

Inside the sun, fusion reactions take place at very high temperatures and enormous gravitational pressures

The foundation of nuclear energy is harnessing the power of atoms. Both fission and fusion are nuclear processes by which atoms are altered to create energy, but what is the difference between the two? Simply put, fission is the division of one atom into two, and fusion is the combination of two lighter atoms into a larger one. They are opposing processes, and therefore very different.

The word fission means "a splitting or breaking up into parts" (Merriam-Webster Online, www.m-w.com). Nuclear fission releases heat energy by splitting atoms. The surprising discovery that it was possible to make a nucleus divide was based on Albert Einstein’s prediction that mass could be changed into energy. In 1939, scientist began experiments, and one year later Enrico Fermi built the first nuclear reactor.

i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m​

i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance

Answers

The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.

d (distance) from A to B is = √2gh

In this case given are, g = 9.8 m/s² and h = 100m,

so here d = √(2⋅9.8⋅100) = 44.3m.

Final velocity ,v = √2gh

Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,

g = 9.8 m/s² ,h = 100m,

v = √(2⋅9.8⋅100)

= 44.3 m/s (final velocity)

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If the voltage of a circuit is 6V, and the power is 4W, what is its resistance?

Answers

Answer:

9 ohms

Explanation:

P = V²/R

R = v²/p = 6²/4 = 36/4 = 9 ohms.

The resistance is 9 Ohm.

To find the resistance, we need to know about the power in term of resistance and voltage.

What is the value of power in terms of resistance and voltage?We know that power=work/timeElectrostatics work is given as voltage ×charge. So, power=(Voltage×charge)/timeAgain, charge/time is given as current. So, power = Voltage×currentFrom Ohm's law, we know that current=voltage/resistance. So, power= voltage ²/resistance. What is the resistance, if power is 4W and voltage is 6V?Resistance in term of power and voltage is given as Resistance= voltage ²/powerSo, resistance=6²/4=36/4= 9 Ohm

Thus, we can conclude that the resistance is 9 Ohm.

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When a star is so dense that its atoms have their electrons smashed in toward the nucleus (resulting in densities about a million times greater than water), the resulting material is called ________.

Answers

When a star is so dense that its atoms have their electrons smashed in toward the nucleus (resulting in densities about a million times greater than water), the resulting material is called a Neutron star.

What is Star?

Stars are present in the galaxy that have the ability to generate their own light. They are both quite hot and very huge.

They are largely formed of hydrogen, with a trace of helium thrown in for good measure.

The sun is also a star, and its energy and light play an important part in the survival of all kinds of life on Earth.

When a star is so dense that its atoms have their electrons smashed in toward the nucleus (resulting in densities about a million times greater than water), the resulting material is called a Neutron star.

Hence the correct answer is a neutron star.

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Information about conservation of energy

Answers

Explanation:

Energy conservation is the effort made to reduce the consumption of energy by using less of an energy service. This can be achieved either by using energy more efficiently (using less energy for a constant service) or by reducing the amount of service used (for example, by driving less). Energy conservation is a part of the concept of Eco-sufficiency. Energy conservation reduces the need for energy services and can result in increased environmental quality, national security, personal financial security and higher savings.It is at the top of the sustainable energy hierarchy. It also lowers energy costs by preventing future resource depletion.

Energy can be conserved by reducing wastage and losses, improving efficiency through technological upgrades and improved operation and maintenance. On a global level energy use can also be reduced by the stabilization of population growth.

Energy can only be transformed from one form to other, such as heat energy to motive power in cars, or kinetic energy of water flow to electricity in hydroelectric power plants. However machines are required to transform energy from one form to other. The wear and friction of the components of these machine while running cause losses of very high amounts of energy and very high related costs. It is possible to minimize these losses by adopting green engineering practices to improve life cycle of the components.

Hope this helps u ......Explanation:

Four ropes each attached to the end of a freight elevator are used to pull the small elevator upward through a wide elevator shaft of the forces list below which act upon the elevator

Answers

These options are missing in the question

(a) Normal force

(b) Gravity force

(c) Applied force

(d) Friction force

(e) Tension force

(f) Air tension

Answer:

(b) Gravity force

(e) Tension force

(f) Air resistance

Explanation:

Normal force: NO, Normal force acts when body surfaces are in contact to push each other since lift is hanging and no surface contact is there so no Normal force.

Gravity force: YES. This force is acted on each and every body that lies in the vicinity of earth's gravitational field, as the life is hanging so it will experience Gravity force.

Applied force: NO.as there is no force given to the Elevator.

Friction force: NO. Friction fore occurs when bodies rub against each other or has a surface of contact, lift do not touch any surface hence no Frictional force.

Tension force: YES. The Elevator is hanging with the support of Four ropes and tension is acting in these ropes.

Air resistance: YES. The Elevator will experience Air resistance as it will move through the wide shaft.

What do you mean by Tribology? Explain its significance in our daily life 2. Explain the role played by friction and wear in a tribological system 3. How do you define Wear? How it affects the properties of a surface?

Answers

(1.)Tribology is the study of friction, wear, lubrication, and the design of bearings; the science of interacting surfaces in relative motion.
(2.)Tribology is particularly important in today's world because so much energy is lost to friction in mechanical components. To use less energy, we need to minimize the amount that is wasted. Significant energy is lost due to friction in sliding interfaces.
(3.) Wear can be defined as an extremely short sliding motion and is executed within a short time interval.
(Idk how it effects the properties of surface sorry )

Which of the following is true about the umbra of the Moon's shadow?
a. It is very dark, or a total shadow.
b.Its "cone" points away from the Sun.

Answers

The statement that is true about the umbra of the Moon's shadow is: It is very dark, or a total shadow. The correct option is a.

What is the umbra?

The umbra is the innermost and darkest part of a shadow cast by a celestial body. It is the region where the entire source of light is obscured by an opaque object and the area of total darkness.

In relation to an eclipse, it is the region of total obstruction of the source of light. During a solar eclipse, the umbra is the region of total darkness created by the moon's inner shadow that obscures the Sun, while the penumbra is the region of partial shadow on the Earth's surface created by the moon's outer shadow. In a lunar eclipse, the Earth passes between the Sun and the Moon, with the Earth's shadow obscuring the Sun's light that would have otherwise been reflected by the Moon into the sky, resulting in a total eclipse of the Moon.

Hence, the correct option is a.

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A single-storey office building has floor dimensions of 40m x 30m and a height of 3m to a suspended acoustic tile ceiling. The average height of the ceiling void is 1.5 m. A plant room is adjacent to the roof void. There is a common plant room wall of 10m x 1.5m high in the roof void. The sound pressure level in the plant room is expected to be 61 dB. The reverberation time of the roof void is 0.6 s. The plant room wall adjoining the roof void has a sound reduction index of 13 dB. Calculate the sound pressure level that is produced within the roof void as the result of the plant room noise. What would you suggest if you wish to further reduce the sound pressure level from the plant room to the adjacent rooms?

Answers

The sound pressure level produced within the roof void as a result of the plant room noise is calculated to be 48 dB.

To determine the sound pressure level in the roof void, we utilize the sound reduction index of the plant room wall and the sound pressure level in the plant room. The formula used for this calculation is L2 = L1 - R, where L2 represents the sound pressure level in the roof void, L1 denotes the sound pressure level in the plant room, and R signifies the sound reduction index of the plant room wall adjoining the roof void. Given that the sound pressure level in the plant room is 61 dB and the sound reduction index of the plant room wall is 13 dB, we substitute these values into the formula to find the sound pressure level in the roof void:

L2 = 61 dB - 13 dB

L2 = 48 dB

Hence, the sound pressure level produced within the roof void as a result of the plant room noise is determined to be 48 dB. To further reduce the sound pressure level from the plant room to the adjacent rooms, there are several recommended strategies. One approach is to improve the sound insulation of the common wall between the plant room and the adjacent rooms. This can involve increasing the sound reduction index of the wall by adding sound-absorbing materials or panels, or enhancing the sealing of any gaps or openings to minimize sound leakage.

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A 2 kg ball is thrown down off a roof 10 meters high. At the bottom when it hits the ground
it is traveling 15 m/s. What is it's kinetic energy as it hits the ground?

Answers

The kinetic energy as it hits the ground with mass of 2kg and velocity 15m/s is found to be 225J

Explain what is kinetic energy?

The energy a body has as a consequence of motion is known as kinetic energy. A force has to be applied to an object in order to propel it. We must put in effort in order to apply a force. After the work has been finished, energy is transferred to the item, which then travels at a new, constant speed.

At the bottom when ball hit ground with velocity = 15m/s

KE = 1/2 m v^2 => 1/2 x 2 x 15^2 => 225J

What distinguishes kinetic energy from potential energy?

Potential energy is the energy that is kept in reserve in a system or object as a result of its orientation or configuration. An object's kinetic energy is measured in relation to stationary and moving items in its immediate surroundings. Potential energy is irrespective of an object's surroundings.

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During an all-night cram session, a student heats up a 0.858 liter (0.858 x10 −3
m 3
) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.2 ∘
C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 90.6 ∘
C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?

Answers

approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.To calculate the volume of coffee that has spilled out of the beaker, we can use the concept of thermal expansion. The change in volume is given by the formula ΔV = βVΔT, where β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.

First, let's convert the initial volume to cubic meters: V = 0.858 x 10^(-3) m^3.
Next, we calculate the change in temperature: ΔT = 90.6 - 18.2 = 72.4 °C.
The coefficient of volume expansion for water (and coffee) is approximately β = 3.4 x 10^(-4) °C^(-1).
Plugging in these values into the formula, we get:
ΔV = (3.4 x 10^(-4) °C^(-1)) * (0.858 x 10^(-3) m^3) * (72.4 °C) = 2.093 x 10^(-6) m^3.

Therefore, approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.

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For freely falling objects near earth's surface, _____ is constant.

A
acceleration
B
speed
C
velocity
D
momentum

Answers

The correct option is A. acceleration.

For freely falling objects near Earth's surface, acceleration is constant. An object that is allowed to fall freely under the influence of Earth's gravity is known as a freely falling object. Gravity is an acceleration that acts on any two masses.

For freely falling objects near Earth's surface, the acceleration is indeed constant. This fundamental concept is a result of gravity's influence on objects in free fall. When an object is in free fall, it means that no forces other than gravity are acting upon it. In this scenario, the acceleration experienced by the object remains constant and is equal to the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²) near Earth's surface.

The constancy of acceleration in free fall can be attributed to the consistent force of gravity acting on the object. Gravity pulls objects downward towards the center of the Earth, causing them to accelerate uniformly. Regardless of the object's mass, shape, or composition, the acceleration remains constant. This is known as the equivalence principle, which states that all objects experience the same acceleration due to gravity in the absence of other forces.

As an object falls freely, its velocity increases at a steady rate. Each second, the object's velocity increases by approximately 9.8 m/s. This means that in the first second, the velocity increases by 9.8 m/s, in the second second it increases by an additional 9.8 m/s, and so on. The consistent acceleration enables the object to cover greater distances in successive time intervals.

In conclusion, for freely falling objects near Earth's surface, the acceleration remains constant at approximately 9.8 m/s². This constancy arises from the unchanging force of gravity acting on the objects, leading to a uniform increase in velocity over time.

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While playing hockey, player 1 is speeding down the rink, and doesn't see player 2 standing still on the ice. Player 1
collides with player 2. Explain what happens to the kinetic energy and motion of each player during the collisiort.

Answers

Answer:

There are two answers:

When player 1 collided with player 2, player 1's kinetic energy transferred to player 2.

Player 1 could slow down, stop , change direction, or fall, while player 2 would begin moving away from the collision point and possibly fall.

Explanation:


Could someone help me with these problems!! thanks

Could someone help me with these problems!! thanks

Answers

The stereo's current is roughly 2.15 A.

The resistance of the wire that makes up the toaster's heating element is roughly 8.70.

How to calculate the current

Ohm's law can be used to determine the current in the stereo:

I = V / R

where V is the potential difference, I is the current, and R is the resistance.

By entering the specified values, we obtain:

I = 140 V / 65 Ω ≈ 2.15 A

As a result, the stereo's current is roughly 2.15 A.

The following is the power equation in terms of voltage and resistance:

P = V² / R

P stands for power, V for voltage, and R for resistance.

By entering the specified values, we obtain:

1150 W = (100 V)² / R

When we rewrite the equation, we obtain:

R = (100 V)² / 1150 W ≈ 8.70 Ω

As a result, the resistance of the wire that makes up the toaster's heating element is roughly 8.70.

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the major factor in the development of a constitution is​

Answers

Answer:

Below are some of the important dates that led to the creation of the Constitution: 1775 — The Revolutionary War between the Colonies and Britain begins. ... 1781 — The last battle of the Revolutionary War takes place; the 13 states set up a federal government under laws called the Articles of Confederation.

Explanation:

please give me a heart

The engine of the car develops a driving force of 4000N. Air resistance also acts on the car, with a force of R. If the car has a mass of 1000kg, and is accelerating at 1.5m/s^2, calculate the magnitude of R.

Answers

Answer:

R = -2500N

Explanation:

Use formula ΣF = Ma. We can split the Net Force into two parts: Fe - Ff  =  Ma.

Fe is the force developed by the engine: 4000N

Ff (R) is the air resistance projected on the vehicle. This is the value we're looking for.

Mass: 1000kg

Acceleration: 1.5m/s^2

Next, just plug in the values and solve.

▪4000N - Ff  =  (1000kg)(1.5m/s^2)

▪Ff = 1500N - 4000N

▪Ff = -2500N

R = -2500N.

The air resistance acting on the car is R = -2500N.

Which description is evidence of chemical weathering?
k
O A. A rock in a windy desert has scratches on
its surface.
B. A rock in a tundra has deep cracks filled
with ice.
C. A rock turns a reddish color when
exposed to air and water.
D. A rockban a steep slope falls to the
ground and breaks apart.
Check

Answers

Answer:

b.

Explanation: I do not know much about this but the answer that i think it is was b.

A rock turns a reddish color when exposed to air and water. this description is evidence of chemical weathering

Chemical weathering is demonstrated by the fact that "a rock turns a reddish colour when exposed to air and water." The breakdown of rocks occurs through a process known as chemical weathering, which involves chemical interactions with elements including water, oxygen, and acids. The iron in the rock may have oxidised, which is when iron in the rock combines with oxygen and water to generate iron oxide (rust), giving the material its reddish hue. The physical weathering produced by wind-borne particles is described in Option A, the physical weathering induced by freeze-thaw cycles is described in Option B, and the physical weathering caused by gravity and the impact of the rock striking the ground is described in Option D.

Hence option C is correct.

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a small object is placed between two plane mirrors inclined at an angle of 60° to each other in a dark room how many images are seen explain​

Answers

Answer:

nothing

Explanation:

bocouse of darkness

Can someone please help meee!! >.<

One day, you went for a walk with your family on the beach. You noticed that there was a lot of trash and a large oil spill in the water. Please write in a long term paragraph.

Answers

What’s the question though

A student is creating a model of a concave lens. The diagram shows her incomplete model.



Which action would best complete her model?
A
The student should draw the light moving into the lens and then exiting in converging lines.

B
The student should draw the rays of light moving into the lens and then exiting at right angles.

C
The student should draw the rays of light moving into the lens and then exiting in a straight path.

D
The student should draw the light moving into the lens and then exiting in lines that are spreading out.

Answers

Answer:

D

Explanation:

I’m pretty sure it’s correct but I don’t really know. Just trying to pass science

Answer:

The correct answer is D trust me I did the test

When the concave lens moves in it exit by spreading out like water

A spring has a spring constant of 300 N/m. How much force is in thespring if it is stretched 0.25 m?32

Answers

Force applied is directly proportional to displacement.

It is given by the formula

\(F=-kx\)

Here F is the force , k is the spring constant , x is the displacement.

Substituting the values,

\(F=-300\text{ }\ast0.25\)\(F=-75\text{ N}\)

How to convert 98.9 f to c?

Answers

98.9°F is equivalent to 37.17°C temperature. Using Formula: °C = (°F - 32) x 5/9

To convert 98.9°F to Celsius (°C), you can use the following formula:

°C = (°F - 32) x 5/9

Substituting 98.9 for °F in the formula, we get:

°C = (98.9 - 32) x 5/9 = 37.17

Therefore, 98.9°F is equivalent to 37.17°C.

It's important to note that when converting Fahrenheit to Celsius, the resulting Celsius temperature is often more precise with decimal places. In this case, the Celsius temperature is 37.17°C, which means that the temperature is between 37°C and 38°C.

To double-check your conversion, you can also use online temperature conversion tools or smartphone apps that are readily available and accurate.

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You wish to date a hip bone fragment you found at a cave site.
You find a ratio of 1 14C atoms for every 31 14N atoms. How many
half- lives have elapsed?

Answers

To determine the number of half-lives that have elapsed, we need to compare the ratio of 14C to 14N atoms found in the hip bone fragment.

The ratio of 1 14C atom for every 31 14N atoms suggests that the hip bone fragment contains a smaller amount of 14C compared to the expected ratio found in a living organism. Since 14C undergoes radioactive decay with a half-life of approximately 5730 years, we can calculate the number of half-lives that have elapsed by observing how many times the ratio needs to double to reach the expected ratio.

In this case, if the expected ratio is 1:1, then the observed ratio of 1:31 would require five doublings to reach 1:1. Therefore, approximately five half-lives have elapsed since the death of the organism from which the hip bone fragment originated.

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Dominic made the table below to organize his notes about mixtures.
Properties of Mixtures
has no set composition
must have more than one state of matter
must have more than one substance
What mistake did Dominic make?
The title should read "Properties of Solutions" because some mixtures do not have all of the properties listed.
There is a definite recipe to make each mixture, so the composition of a mixture is set.
Although it is possible to have more than one state, it is also possible to have only one state.
A single substance can be used to make a mixture if the substance is composed of more than one element.

Answers

Answer:

Althought it us possible to have more then one state, it's also possible to have only one state of matter

Explanation:

You can make solutions of only one state if matter, for example , it two liquids can be mixed to form a solution they are called miscible.

Answer:

The correct answer is C.) Although it is possible to have more than one state, it is also possible to have only one state.

Explanation:

I just did the test on edge and got it right

If the ring rolls (without slipping) all the way to point 2, what is the ring's energy at point 2 in terms of h2 and v2?

Answers

Answer:

Following are the response to the given question:

Explanation:

\(F_2=mgh_2+\frac{1}{2}mv_2^2+\frac{1}{2}mR^2(W)^2\\\\\therefore \\\\ \to WR=v_2\\\\E_2=Mgh_2+MV_2^2\)

If the ring rolls (without slipping) all the way to point 2, what is the ring's energy at point 2 in

a process delivers output of consistent quality and value in small volumes

Answers

A process that delivers output of consistent quality and value in small volumes is known as low volume high mix.

These processes typically involve producing customized or specialized products in small batches to meet the specific needs of individual customers. This approach requires flexible and agile production capabilities to efficiently and effectively manufacture a wide range of products with varying specifications and requirements.

Low volume high mix processes are commonly used in industries such as aerospace, automotive, and medical devices where products must meet stringent quality and safety standards. These processes can be more complex and require greater attention to detail than high volume production methods due to the customization and variation involved.

In such a process, the term "output" refers to the number of products produced, while "volumes" refers to the quantity of each product produced. By focusing on small volumes, this process is able to provide customers with highly customized products that meet their specific needs while maintaining consistent quality and value.

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A 9V battery produces a 1.5A current in a piece of wire. What is the resistance of the wire?
8 Ω
9 Ω
6 Ω
7 Ω

Answers

Explanation:

Using Ohm's Law and a bit of substitution, we can use voltage divided by current to solve for resistance. Doing that, we'll get 6 Ohm.

A9Vbattery produces a1.5Acurrent in a piece of wire. What is the resistance of the wire?8967

64. an express train passes through a station. it enters with an initial velocity of 22.0 m/s and accelerates opposite to the motion at a rate of 0.150m/s2 as it goes through. the station is 210.0 m long. (a) how fast is it going when the nose leaves the station? (b) how long is the nose of the train in the station? (c) if the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) when does the end of the train leave the station?

Answers

Therefore, the final velocity of the train when the nose leaves the station is 27.4 m/s. Therefore, the nose of the train is in the station for 4.32 seconds. Therefore, the velocity of the end of the train as it leaves the station is 20.5 m/s. Therefore, the end of the train leaves the station after 15.74 seconds.

What is velocity?

The primary indication of an object's position and speed is its velocity. It is defined as the distance traveled by an item in one unit of time. The displacement of an item in unit time is defined as velocity. The directional speed of an item in motion as an indicator of its rate of change in position as perceived from a certain frame of reference and measured by a specific standard of time (e.g., 60 km/h northbound) is known as velocity. Simply put, velocity is the rate at which something travels in a certain direction. For example, the speed of a car driving north on a highway or the speed of a rocket after launch.

Here,

(a) To find the final velocity of the train when the nose leaves the station, we can use the equation:

v² = u² + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. We can split the distance traveled into two parts: the distance covered while accelerating, and the length of the station.

For the distance covered while accelerating, the initial velocity is 22.0 m/s, the acceleration is -0.150 m/s² (opposite to the motion of the train), and the distance is the length of the station minus the initial distance covered by the train:

s₁ = (210.0 m - 0 m) - (130.0 m + 22.0 m/s × t) = 80.0 m - 22.0 m/s × t

where t is the time taken to cover the distance.

For the distance covered in the station, the initial velocity is the final velocity from the acceleration phase, and the acceleration is 0 (since the train is no longer accelerating):

s₂= 130.0 m

The total distance traveled is the sum of s₁ and s₂:

s = s₁+ s₂ = 80.0 m - 22.0 m/s × t + 130.0 m

Substituting the given values into the first equation, we get:

v² = (22.0 m/s)² + 2 × (-0.150 m/s²) × [80.0 m - 22.0 m/s × t + 130.0 m]

Simplifying, we get:

v² = 22.0² - 0.3t + 2.0 × 130.0

v² = 484 - 0.3t + 260

v² = 744 - 0.3t

Taking the square root of both sides, we get:

v = √(744 - 0.3t)

At the moment when the nose of the train leaves the station, the distance traveled is 210.0 m. Therefore, we can set s = 210.0 m and solve for t:

210.0 = 80.0 m - 22.0 m/s × t + 130.0 m

Simplifying, we get:

t = 4.32 s

Substituting this value into the expression for v, we get:

v = √(744 - 0.3 × 4.32)

v = 27.4 m/s

Therefore, the final velocity of the train when the nose leaves the station is 27.4 m/s.

(b) The time that the nose of the train spends in the station is the time it takes to travel the length of the station at a constant speed, which is the time between the end of the acceleration phase and the moment when the nose leaves the station. From part (a), we know that the acceleration phase lasts for:

t₁= (v - u) / a = (27.4 m/s - 22.0 m/s) / (-0.150 m/s²) = 36.67 s

Therefore, the total time it takes for the nose to leave the station is:

t₂ = t₁ + 4.32 s = 41.0 s

The time that the nose of the train spends in the station is:

t_station = t₂- t₁ = 4.32 s

Therefore, the nose of the train is in the station for 4.32 seconds.

(c) The velocity of the end of the train as it leaves the station can be found using the same kinematic equation:

v² = u²+ 2as

where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.

In this case, the initial velocity is 22.0 m/s, the acceleration is -0.150 m/s², and the distance is the length of the station:

s = 210.0 m

Substituting these values, we get:

v² = (22.0 m/s)² + 2(-0.150 m/s²)(210.0 m)

v² = 484.0 m²/s² - 63.0 m²/s²

v² = 421.0 m²/s²

Taking the square root of both sides, we get:

v = 20.5 m/s

Therefore, the velocity of the end of the train as it leaves the station is 20.5 m/s.

(d) To find the time when the end of the train leaves the station, we can use the same kinematic equation used in part (b):

s = ut + (1/2)at²

where s is the displacement of the end of the train, which is 210.0 m + 130.0 m = 340.0 m, u is the initial velocity of the train, and a is the acceleration of the train.

Substituting the given values, we get:

340.0 m = (22.0 m/s)t + (1/2)(-0.150 m/s²)t²

Simplifying and solving for t, we get:

t = 15.74 s

Therefore, the end of the train leaves the station after 15.74 seconds.

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6.) What is the missing element?

a. Hydrogen
b. Helium
c. Carbon
d. Nitrogen

6.) What is the missing element?a. Hydrogenb. Heliumc. Carbond. Nitrogen

Answers

Answer:

It's nitrogen. Specifically, this is the alpha emission of an N-15 isotope.


The ratio of the magnitude of the frictional force to the magnitude of the force
holding two surfaces together is called the and its UNIT is

Answers

Answer: the coefficient of friction

Explanation:

The coefficient of friction (μ (mu)) has no unit because it is a ratio of forces so the units of N (newtons, which are the units of force) cancel out.

The magnitude of frictional force is \(\mu\)N and the magnitude of the force is N. So if we take the ratio of it we will get  \(\mu\) In result.

What is the Coefficient of friction?

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, the Greek letter is used to symbolize it, i.e., \(\mu\). In mathematical terms, is equal to F/N, where F represents frictional force and N represents normal force. Since both F and N are measured in units of force, the coefficient of friction is a dimensional less quantity (such as newtons or pounds).

For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. In kinetic friction, the frictional force resists the motion of the object.

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