The after the collision, the coupled train cars move with a velocity of approximately 0.128 m/s.
To solve this problem, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
The momentum (p) of an object is given by the product of its mass (m) and velocity (v): p = m * v
Let's denote the momentum of the first train car as p1 and the momentum of the second train car as p2.
Before the collision, the total momentum is the sum of the individual momenta:
Total momentum before collision = p1_initial + p2_initial
p1_initial = m1 * v1_initial = 180,000 kg * 0.300 m/s
p2_initial = m2 * v2_initial = 125,000 kg * (-0.120 m/s) (note the negative sign indicates the direction)
After the collision, the two train cars couple together and move as one unit. Let's denote the final velocity of the coupled train cars as v_final.
The total momentum after the collision is given by:
Total momentum after collision = (m1 + m2) * v_final
According to the conservation of momentum principle, the total momentum before the collision is equal to the total momentum after the collision:
p1_initial + p2_initial = (m1 + m2) * v_final
Substituting the given values, we have:
(180,000 kg * 0.300 m/s) + (125,000 kg * (-0.120 m/s)) = (180,000 kg + 125,000 kg) * v_final
Simplifying the equation:
(54,000 kg * m/s) + (-15,000 kg * m/s) = (305,000 kg) * v_final
39,000 kg * m/s = 305,000 kg * v_final
Dividing both sides by 305,000 kg:
v_final = (39,000 kg * m/s) / 305,000 kg
v_final = 0.128 m/s
Therefore, after the collision, the coupled train cars move with a velocity of approximately 0.128 m/s.
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NASA is launching a rocket into space from Earth. This particular rocket burns its fuel for 5
minutes and then turns off its engines. At this point, the rocket keeps floating along through
space at a speed of 10 km/s.
What is the rockets average acceleration during these first 5 minutes?
The rockets average acceleration during these first 5 minutes is 33.33 m/s².
What is average acceleration?The average acceleration of an object refers to the rate at which the velocity changes with time of motion of the object.
a = Δv/Δt
where;
Δv is change in velocity of the objectΔt is change in time of motionThe given parameters include;
v = 10 km/s = 10 km/s x 1000 m/1km = 10,000 m/s
t = 5 minutes = 5 x 60 s = 300 seconds
a = 10,000 / 300
a = 33.33 m/s²
Thus, the rockets average acceleration during these first 5 minutes is 33.33 m/s².
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In a closed system, as kinetic energy increases, what happens to potential energy?
Differences between Pascal's Law & Law of flotation
Answer:
Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.
Find the work done on a 50 Kg student by the elevator in 2 seconds, if the elevator is :
1) Accelerating upwards from rest at a rate of 2 ms-2
2) Accelerating downwards from rest at a rate of 2 ms-2
3) Decelerating upwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
4) Decelerating downwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
5) Moving upwards at a speed of 2 ms-1
6) Moving downwards at a speed of 2 ms-1
( Let g = 10 ms )
The work done on a 50 Kg student by the elevator in 2 seconds if the elevator is accelerating upwards from rest at a rate of 2 ms⁻² would be
What is work done?The total amount of energy transferred when a force is applied to move an object through some distance.
The work done is the multiplication of applied force with displacement.
Work Done = Force × Displacement
As given in the problem we have to find the work done on a 50 Kg student by the elevator in 2 seconds if the elevator is accelerating upwards from rest at a rate of 2 ms⁻²,
Lets us first calculate the displacement of the elevator in 2 seconds if it is accelerating upwards from rest at a rate of 2 ms⁻².
s = ut + 0.5at²
= 0 + 0.5×2×2²
= 4 meters
The work done on the elevator = mgh
=50×9.81×4
=1962 joules
Thus, the work done on the elevator would be 1962 joules.
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Rinse chemicals from your hands and arms with water in the ________________________.
Rinse chemicals from your hands and arms with water in the sink
In the chemistry lab we use to work with chemical solutions, because of that we must learn what is the best way to manipulate the chemicals with we are going to work, so an proper way to maintain our hands and arms clean is using the lab's sink in order to wash our hands and arms with enough water
What is a chemical solution?In chemistry a solution is known as a homogeneous mixture of two or more components called:
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Can someone pls help, thank you in advance!
What is an example of a force applied at an angle to displacement
Answer:
an object sliding down hill
Explanation:
On a slope, the force applied is due to gravity. Its direction is straight down. If the object is sliding down the hill, its displacement is at an angle to the applied force. The angle of displacement will depend on the steepness of the hill.
assume that an mx missile goes from rest to a suborbital velocity of 3.50 km/s in 60.0 s (the actual speed and time are classified). what is its average acceleration in m/s2? 58.33 m/s2 what is its average acceleration in multiples of g? g
The average acceleration of an MX missile is 58.33 m/s2. This acceleration is equivalent to one gravitational force, g.
Given that an MX missile goes from rest to a suborbital velocity of 3.50 km/s in 60.0 s, the average acceleration of the missile can be calculated as follows:Acceleration of missile = Change in velocity of missile / Time taken= (3.50 km/s) / (60.0 s) = 58.33 m/s2
Therefore, the average acceleration of the missile is 58.33 m/s2.Now, we need to calculate the average acceleration of the missile in multiples of g.
The acceleration due to gravity, g, is approximately 9.81 m/s2.
Hence, we can calculate the average acceleration of the missile in multiples of g as follows: Acceleration of missile in multiples of g = Acceleration of missile / g= 58.33 m/s2 / 9.81 m/s2= 5.95Therefore, the average acceleration of the missile in multiples of g is approximately equal to 6, since it is a whole number.
Summary: Thus, the average acceleration of an MX missile is 58.33 m/s2. This acceleration is equivalent to one gravitational force, g. The average acceleration of the missile in multiples of g is approximately equal to 6, which means that the missile experiences six times the acceleration due to gravity while accelerating.
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the process of submerging an object to determine its volume is called
Answer:
Measuring the volume of an irregularly shaped object using geometry is often difficult and complicated. The easiest way to do this is by using the water displacement method. Often taught in chemistry or other science classes, this method is known for its simplicity and accuracy.
Explanation:
Measuring the volume of an irregularly shaped object using geometry is often difficult and complicated. The easiest way to do this is by using the water displacement method.
What is displacement?Shortest distance between two point are called as displacement, or we can say that when a body moves between two points the total lengths between two points are called as distance but the shortest distance between two point is called as displacement. Displacement is measured in meter and it is a vector quantity. Displacement may became zero but distance never became zero.
In above problem we cam say that in a race car start form a point and reaches at the same point then it's displacement is zero because there is no shortest distance. Displacement is measured in meter and it is a vector quantity. Displacement may became zero but distance never became zero.
Therefore,Measuring the volume of an irregularly shaped object using geometry is often difficult and complicated. The easiest way to do this is by using the water displacement method.
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If an object has a fast velocity, the dots on a ticker tape diagram will be _____.
very long
far apart
very short
close together
Answer:
If an object has a fast velocity, the dots on a ticker tape diagram will be far apart.
An observer recorded the following data for the motion of a car undergoing constant acceleration.
Time (s)
3.0
5.0
6.0
Speed (m/s)
4.0
7.0
8.5
What was the magnitude of the acceleration of the car?
4.5 m/s2
O 2.0 m/s2
3.0 m/s2
1.5 m/s2
Option D) 1.5 m/s² is the correct answer.
The magnitude of the acceleration of the car is 1.5 m/s².
given the data in the question;
record of the observation;
Time(s) Speed(m/s)
3.0 4.0
5.0 7.0
6.0 8.5
Since its undergoing constant acceleration, we can make use any two from the three data recorded.
So, lets consider motion between t₁ = 3.0s and t₂ = 5.0s
Initial velocity at t₁ ; u = 4.0 m/s
final velocity at t₂; v = 7.0 m/s
Now, Time Elapsed; \(t = t_2 - t_1 = 7.0s - 5.0s = 2.0s\)
To determine the magnitude of acceleration "a", we use the first equation of motion which says;
\(v = u + at\)
we make "a" the subject of the formula
\(a =\frac{v - u}{t}\)
so we substitute in our values;
\(a = \frac{(7.0m/s) - (4.0m/s)}{2.0s}\)
\(a = \frac{3.0m/s}{2.0s}\)
\(a = 1.5 m/s^2\)
Therefore, the magnitude of the acceleration of the car is 1.5 m/s².
Option D) 1.5 m/s² is the correct answer.
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An electric circuit contains an operating heating element and lit lamp. why does the lamp stay lit
In this circuit having an operating heating element and lit lamp, the lamp is going to continue to be lit if the circuit is connected in parallel.
What is an electric circuit?The term electric circuit has to do with the path that current can pass through. In a circuit, there are some components that must be present in the circuit. The question is incomplete, the complete question is shown in the section marked 'missing parts'.
For the lamp in which there is also an operating heating element, the lamp will remain lit only when the circuit is connected in parallel because the potential difference across the components remain the same.
Missing parts:
An electric circuit contains an operating heating element and a lit lamp. Which statement best explains why the lamp remains lit when the heating element is removed from the circuit?
answer choices
The lamp has less resistance than the heating element.
The lamp has more resistance than the heating element
The lamp and heating element were connected in parallel.
The lamp and heating element were connected in series.
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How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating
at 5m/s²?
Answer:
Time taken = 2.444sec
Explanation:
Greetings !
Given values :-
Final velocity (Vf) =44km/hr =12.22m/s Initial velocity (Vi) = 0m/sAcceleration (a)= 5m/s²Required values:-
Time taken (t) =?Solution/ work-out:-
Firstly change the km/hr value to m/s
Then, recall the Velocity-Time Equation:
\(vf = vi \: + at\)
substitute known variables into the equation
\((12.22) = (0) + (5)t\)
Solve for time
\(t = 2.444sec\)
Hope it helps!!
3. An element that is malleable is
A. Easily shaped B. Very hard C. Difficult to pour D. Very dense
Answer:
Difficult to Pour.
Explanation:
Please help me this is worth allot
what condition is required for a single magnifying glass to magnify an object?
In order for a single magnifying glass to magnify an object, the lens must have a convex shape.
A convex lens curves outward and is thicker at the center than at the edges. When light passes through a convex lens, it refracts or bends inward, converging at a focal point. This allows the lens to create a magnified image of the object being viewed.
The distance between the object and the lens, as well as the distance between the lens and the viewer's eye, will also affect the magnification. Additionally, the lens must be positioned at the correct distance from the object to produce a clear, focused image.
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A source charge of 5. 0 µC generates an electric field of 3. 93 × 105 at the location of a test charge. How far is the test charge from the source charge? 0. 11 m 0. 34 m 1. 1 m 3. 4 m.
The distance of the test charge from the source charge is 1.1 m. Option A is correct.
What does Gauss Law state?
It states that the electric flux across any closed surface is directly proportional to the net electric charge enclosed by the surface.\(R= \sqrt \dfrac {Qk^}E\)
Where,
\(E\) = electric force = 3. 93 × 10⁵ N/C
\(k\) = Coulomb constant = \(8.99 \times 10^9 \rm\ N m ^2 /C ^2\)
\(Q\\ \) = charges = 5.0 µC
\(r\) = distance of separation =?
Put the values in the formula,
\(R= \sqrt \dfrac {5\times 10^{-6}8.99 \times 10^9}{3. 93 \times 10^5}}\\\\ R = 1.1 \rm \ m\)
Therefore, the distance of the test charge from the source charge is 1.1 m.
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the pendulum illustrated above has a length of 2 m and a bob of mass 0.04 kg. it is held at an angle ѳ, as shown, where cosѳ = 0.9. the frequency of oscillation is most nearly
The frequency of oscillation of a pendulum can be calculated using the formula:
f = 1 / (2π) √(g / L),
where f is the frequency, g is the acceleration due to gravity, and L is the length of the pendulum.
In this case, the length of the pendulum is given as 2 m. The acceleration due to gravity can be taken as approximately 9.8 m/s².
To find the frequency, we need to determine the value of g / L. Using the given values, we have: g / L = 9.8 / 2 = 4.9 m/s².
Now we can substitute this value back into the formula for frequency:
f = 1 / (2π) √(4.9) ≈ 0.11 Hz.
Therefore, the frequency of oscillation of the pendulum is most nearly 0.11 Hz.
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A car's horn produces a constant frequency of 350 Hz as it passes by Suzy. What is the best estimate of the
frequency Suzy hears after the car passes her?
330 Hz
350 Hz
360 Hz
700 Hz
Answer:
330 Hz
Explanation:
edg2020
The best estimate of the frequency Suzy hears after the car passes her is govern by doppler effect and it is 330 Hz.
What is frequency?Frequency is the number of occurrences of a repeating event per unit of time.
What is Doppler EFFECT?
The Doppler effect is the change in frequency of a wave in relation to an observer who is moving relative to the wave source.
According to the Doppler Effect, the frequency observed by an observer decreases for source going away.
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Opposite poles attract (N-S) while similar poles (N-N or S-S) repel.
In an inelastic collision, which of the following statements is always true?
[A] Kinetic energy is conserved in the collision.
[B] Momentum is conserved in the collision.
[C] After the collision, the objects always merge into one.
[D] The collision takes more that 1 second to complete.
Answer: A
Explanation:
A
. unpolarized light is incident upon a smooth surface. when light reflected from this surface is totally polarized, the incident light angle is named the
Brewster's angle
When unpolarized light is incident at Brewster's angle on a smooth glass surface, the reflected light is totally polarized while the refracted light is partially polarized
Polarization:
Polarization is a assets making use of to transverse waves that specifies the geometrical orientation of the oscillations. In a transverse wave, the route of the oscillation is perpendicular to the direction of motion of the wave.In contrast, for longitudinal waves, such as sound waves in liquids or gases, the particles are always displaced in the direction of propagation during oscillation, so these waves have no polarization. Transverse waves that indicate polarization include electromagnetic waves such as light and radio waves, gravitational waves, and sound waves in solids (transverse waves).
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A arrow of mass 0.20 kg is shot at 32.2 m/s. It hits an apple (m = 0.77 kg), and goes through the apple, leaving with a velocity of 18.3 m/s.
What is the velocity of the apple after the arrow leaves it?
answer in m/s
Answer:
The apple travels at 3.6 m/s
Explanation:
The Law Of Conservation Of Linear Momentum
The total momentum of a system of bodies is conserved unless an external force is applied to it.
The formula for the momentum of a body with mass m and speed v is:
P = mv
If we have a system of two bodies the total momentum is the sum of the individual momentums:
\(P=m_1v_1+m_2v_2\)
If a collision occurs and the velocities change to v', the final momentum is:
\(P'=m_1v'_1+m_2v'_2\)
Since the total momentum is conserved, then:
P = P'
Or, equivalently:
\(m_1v_1+m_2v_2=m_1v'_1+m_2v'_2\)
Solving for v2':
\(\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}\)
The arrow has a mass of m1=0.2 kg and travels at v1=32.2 m/s. It hits an apple (assumed stationary at v2=0) of mass m2=0.77 kg and continues through the apple with a speed of v1'=18.3 m/s. We'll calculate the speed of the apple after the hit.
\(\displaystyle v'_2=\frac{0.2*32.2+0.7*0-0.2*18.3}{0.77}\)
\(\displaystyle v'_2=\frac{2.78}{0.77}\)
\(v'_2=3.6 \ m/s\)
The apple travels at 3.6 m/s
Which box will not accelerate?
Answer:
b
Explanation:
i know
Answer:
b one will not accelerate
Does this marble have potential energy?
1) no
2)yes
Answer:
yes
Explanation:
because it has the potential to move
How do you calculate frequency?
Answer:
divide the number of times the event occurs by the length of time.
Explanation:
How do you use a Beam Balance???
Your answer is in the attachment . Hope this helps.
1. what pressures and forces from the environment led stringer to change the balance between centralizing and decentralizing authority at sony?
An increasingly competitive environment, quick technological advancements, the need for a more collaborative organisational culture, and a focus on enhancing financial performance were some of the environmental pressures and forces that compelled Stringer to alter Sony's balance between centralising and decentralising authority.
The competitive environment, technological breakthroughs, organisational culture, and financial performance are the four primary categories that may be used to categorise the external pressures and causes that caused Stringer to alter the balance between centralising and decentralising authority at Sony.
1. Competitive Landscape: Sony's dominance in the industry was under threat from rivals like Apple, Samsung, and Microsoft as the worldwide market became more competitive. In order to maintain responsiveness and agility in the face of this fierce competition, Stringer had to reassess the balance of authority.
2. Technological Advancements: Sony has to innovate continually to be relevant in the era of rapid technological advancement and the digital revolution. Stringer had to decentralise control in order to encourage creativity, allowing staff members to assume more responsibility and participate in the creation of new goods and services.
3. Organizational Culture: Collaboration and synergies were hampered by Sony's conventional culture, which was characterised by siloed divisions and internal competitiveness. Stringer understood that centralising some decision-making processes would aid in dismantling organisational divisions, fostering collaboration, and creating a more cohesive workplace.
4. Financial Performance: Sony's management structure needed to be significantly changed as a result of its poor financial performance and shrinking market position. By balancing centralised control to maintain strategy coherence and decentralising authority to empower people, boosting efficiency and innovation, Stringer hoped to improve financial performance.
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A beam of light travels from air into a transparent material. The angle of incidence is 24 ∘ and the angle of refraction is 17 ∘
Using this equation, the refractive index of a material with an angle of incidence of 24∘ and an angle of refraction of 17∘ was found to be approximately 1.33, consistent with common transparent materials.
When a beam of light passes from one medium into another, its direction changes due to the change in the speed of light in the different media. This phenomenon is known as refraction. The angle of incidence is the angle between the incident ray and the normal to the surface at the point of incidence, and the angle of refraction is the angle between the refracted ray and the normal.
The relationship between the angles of incidence and refraction is given by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the speeds of light in the two media. Mathematically,
\($\frac{\sin{\theta_1}}{\sin{\theta_2}}=\frac{v_1}{v_2}$\)
where \("\theta_2"\) is the angle of incidence, \("\theta_2"\) is the angle of refraction, \(v_1\) is the speed of light in the incident medium (in this case, air), and \(v_2\) is the speed of light in the transparent material.
Assuming that the transparent material has a higher refractive index than air, we know that the angle of refraction will be smaller than the angle of incidence. In this case, we are given that \("\theta_1"\) = 24∘ and \("\theta_2"\) = 17∘. We can use Snell's law to find the refractive index of the transparent material.
First, we need to know the speed of light in the air and the speed of light in the transparent material. The speed of light in air is approximately \($3 \times 10^8 \text{ m/s}$\), and the speed of light in the transparent material depends on its refractive index. Let's denote the refractive index of the material by n. Then, we have:
\($\frac{\sin{24^\circ}}{\sin{17^\circ}}=\frac{3 \times 10^8 \text{ m/s}}{v_2}$\)
Solving for \(v_2\), we get:
\($v_2 = (3 \times 10^8 \text{ m/s}) \times \frac{\sin{17^\circ}}{\sin{24^\circ}} \approx 2.26 \times 10^8 \text{ m/s}$\)
Next, we can use the relationship between the speed of light and the refractive index to find n:
\($n = \frac{c}{v_2}$\)
where c is the speed of light in a vacuum
Thus,
\($n = \frac{3 \times 10^8 \text{ m/s}}{2.26 \times 10^8 \text{ m/s}} \approx 1.33$\)
This value of the refractive index is close to that of common transparent materials like water and glass.
In summary, when a beam of light travels from air into a transparent material at an angle of incidence of 24∘ and an angle of refraction of 17∘, the refractive index of the material can be found using Snell's law and the relationship between the speed of light and the refractive index. The calculated value of the refractive index is approximately 1.33, which is consistent with that of common transparent materials.
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Indicate what happens when light strikes each type of matter listed below:
T = transmits straight through
B = refracts (bends)
R = reflects
A = absorbs
1) empty space (vacuum)
2) water in an aquarium
3) soil on a hillside
4) a glass window in a car
5) a brick wall
6) a lens in a camera
7) a mirror on a wall
8) water in a swimming pool
9) a roof covered with snow
10) a black shirt
The behavior of light, when it travels through the listed matters, can be found below.
The behavior of light upon striking surfacesEmpty space (vacuum): Light travels straight through it (T).Water in an aquarium: Light enters and refracts (bends) due to the change in density between air and water (B).Soil on a hillside: Light may reflect off the surface or be absorbed into the soil (R or A).A glass window in a car: Some light is transmitted through the window, some are reflected off the surface, and some are refracted as it passes through the glass (T, R, and B).A brick wall: Light may reflect off the surface or be absorbed into the wall (R or A).A lens in a camera: Light passes through and is refracted by the lens to form an image (B).A mirror on a wall: Light reflects off the mirror's surface (R).Water in a swimming pool: Light enters and refracts due to the change in density between air and water (B).A roof covered with snow: Light may reflect off the surface or be absorbed into the snow (R or A).A black shirt: Light is absorbed by the shirt's pigments, which do not reflect any color (A).More on light can be found here: https://brainly.com/question/15200315
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Explain the difference between velocity and acceleration.
Answer:
velocity has direction and acceleration doesn't