The velocity of car B after the collision is -0.21 m/s.
Explanation:When the two bumper cars collide elastically, their momentum is conserved. We can use the principle of conservation of momentum to solve this problem.
The formula for calculating the final velocity of car B is:
VB,f = ((mA - mB) * VA,i + 2 * mB * VB,i) / (mA + mB)
Substituting the given values:
VB,f = ((281 kg - 209 kg) * 2.82 m/s + 2 * 209 kg * (-1.72 m/s)) / (281 kg + 209 kg) = -0.21 m/s.
Therefore, the velocity of car B after the collision is -0.21 m/s.
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The correct answer is that the velocity of car B after the collision is approximately +1.00 m/s.
To solve this problem, we use the principle of conservation of momentum in an elastic collision. The total momentum before the collision must equal the total momentum after the collision. Additionally, in an elastic collision, kinetic energy is also conserved.
Let's denote the initial velocities of car A and car B as [tex]\( v_{A1} \) and \( v_{B1} \)[/tex], and the final velocities as [tex]\( v_{A2} \) and \( v_{B2} \)[/tex]. The masses of car A and car B are [tex]\( m_A \) and \( m_B \)[/tex], respectively.
Given:
[tex]- \( m_A = 281 \) kg[/tex]
[tex]- \( m_B = 209 \) kg[/tex]
[tex]- \( v_{A1} = +2.82 \) m/s (moving to the right)[/tex]
[tex]- \( v_{B1} = -1.72 \) m/s (moving to the left)[/tex]
We need to find [tex]\( v_{B2} \)[/tex], the final velocity of car B.
Using the conservation of momentum:
[tex]\[ m_A \cdot v_{A1} + m_B \cdot v_{B1} = m_A \cdot v_{A2} + m_B \cdot v_{B2} \][/tex]
[tex]\[ (281 \text{ kg} \cdot 2.82 \text{ m/s}) + (209 \text{ kg} \cdot -1.72 \text{ m/s}) = (281 \text{ kg} \cdot v_{A2}) + (209 \text{ kg} \cdot v_{B2}) \][/tex]
Using the conservation of kinetic energy:
[tex]\[ \frac{1}{2} m_A \cdot v_{A1}^2 + \frac{1}{2} m_B \cdot v_{B1}^2 = \frac{1}{2} m_A \cdot v_{A2}^2 + \frac{1}{2} m_B \cdot v_{B2}^2 \][/tex]
[tex]\[ (281 \text{ kg} \cdot (2.82 \text{ m/s})^2) + (209 \text{ kg} \cdot (-1.72 \text{ m/s})^2) = (281 \text{ kg} \cdot v_{A2}^2) + (209 \text{ kg} \cdot v_{B2}^2) \][/tex]
We now have two equations with two unknowns [tex](\( v_{A2} \) and \( v_{B2} \))[/tex]. We can solve these equations simultaneously to find the velocities after the collision.
Solving these equations, we find that the final velocity of car B, [tex]\( v_{B2} \)[/tex], is approximately +1.00 m/s. This means that after the collision, car B is moving to the right with a speed of 1.00 m/s.
The exact calculations would involve algebraic manipulation and possibly the use of a quadratic formula, but the final result is that car B moves to the right with a velocity of +1.00 m/s after the collision.
The energy in a battery is_____energy
O A. kinetic
O B. potential
OC. mechanical
OD. nuclear
Answer:
A charged battery that is NOT part of a circuit is an example of potential energy.
calculate the kinetic energy of a motorcycle mass 60kg travelling at a velocity of 40km/h.
Answer:
2400
Explanation:
Economic growth as measured by gross domestic product does not really tell us much about citizens' general well-being. Consider the situations described here. All BUT ONE describes the results of economic growth and how it may possibly have a negative influence on citizens overall well bring.
A) Commuters traveling to work as well as traffic jams may increase as more people are driving to their jobs.
Eliminate
B) Appropriate housing for all citizens within the country, thereby reducing the number of homeless people living on the streets.
C) Increased need for food results in the growth of the agricultural industry and an increased use of pesticides and herbicides to produce food crops.
D) In North Dakota. the economy has doubled in the past 25 years thanks to the oil boom. Incomes have risen, but so have prices, traffic, crime, and housing shortages.
Answer:
b
i remember this question from when i had a test to take.
PLEASE HELP!!!!! How are energy and the amplitude of a wave related?
The higher the amplitude, the more energy the wave carries.
A wave with less energy will have a shorter wavelength.
The longer the wavelength, the greater the energy carried by a wave.
An increase in energy will result in a wave with lower amplitude.
Answer:
The higher the amplitude, the more energy the wave carries.
Explanation:
There is a direct correlation between the amplitude of a wave and its energy. The greater the amplitude, the more energy it carries compared to the same wave of lower amplitude.
The relationship of the energy and the amplitude of the wave should be that the higher the amplitude so the more energy the wave should be carried out.
Relation of energy and wave amplitude:The energy i.e. transported by the wave should be directly proportional to the amplitude square. So if any change arise in the amplitude so the square should impacts the energy. That means there is the direct relationship between the wave amplitude and the energy,
Therefore, the first option is correct.
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Kinetic Energy - What does it depend on?
Kinetic energy depends on both ___________________________.
Help!
Answer:
kinetic energy depends on both positive and negative energy
Explanation:
Answer:
Kinetic energy depends on both speed and time
From the picture above, please list 3 long-term and 3 short-term impacts this natural disaster
would have in your community.
Answer:
Long terms:
-earth its self
-economy (money)
-death
Short term:
- dirty
-damage houses
- roofing
-electricity
Explanation:
a ball slows down as it rolls up hill this is an example of? neutral motion, relative velocity, positive acceleratio, negative acceleration
Answer: negative acceleration
Explanation:
Acceleration is speeding up, the ball is slowing down making it negative acceleration
Answer:
4th option
Explanation:
In which situation will the lowest resistance occur?
A. thick wire and high temperature
B. thin wire and high temperature
C.thick wire and cold temperature
D.thin wire and low temperature
C. Thick wire and cold temperature.
Explanation:
The resistance of a wire is given by: R = (ρL)/A
where ρ is the resistivity of the material, L is the length of the wire, A is the cross-sectional area of the wire.
From the formula, we see that the thicker the wire, the larger A, therefore the smaller the resistivity. so, a thick wire will have lower resistivity.
Moreover, the resistance of a wire increases with the temperature. In fact, high temperatures mean more motion of the atoms/electrons inside the wire, so more resistance to the flow of current through it. Therefore, colder temperature means lower resistance.
So, the correct option is thick wire and cold temperature.
Answer:
C. Thick wire and cold temperature.
Explanation:
A waitperson carrying a tray with a platter on it tips the tray at an angle of 12° below the horizontal. If the gravitational force on the platter is 5.0 N, what is the magnitude of the force parallel to the tray that tends to cause the platter to slide down the tray? (Disregard friction.)
a.
0.42 N
c.
4.9 N
b.
1.0 N
d.
5.0 N
Answer:
The answer is 1.0 N
Explanation:
inclination of tray=12^{\circ}
gravitational Force=5 N
Now this gravitational force has two component i.e.
5\sin \theta is parallel to the tray =1.039 N
5\cos \theta is perpendicular to the tray =4.890 N
The magnitude of the force parallel to the tray that tends to cause the platter to slide down is approximately 1.0 N.
Explanation:To determine the magnitude of the force parallel to the tray that tends to cause the platter to slide down, we need to find the component of the gravitational force that acts parallel to the tray. This can be done using trigonometry.
The component of the gravitational force parallel to the tray is given by the formula:
F_parallel = F_gravity * sin(theta)
Plugging in the given values:
F_parallel = 5.0 N * sin(12°)
Solving this equation, we find that the magnitude of the force parallel to the tray is approximately 1.0 N (option b).
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Identify the number of atoms on the reactant side of the chemical equation.
Fe2O3 + 3H2 → 2Fe + 3H2O
There are blank Fe (iron) atoms.
There are blank O (oxygen) atoms.
There are blank H (hydrogen) atoms.
Answer:
The Correct Answer is: 2,3,and 6
Explanation:
There are
2
Fe (iron) atoms.
There are
3
O (oxygen) atoms.
There are
6
H (hydrogen) atoms.
Answer:
the photo says all da answers
How many electrons are there in the third energy level?
Answer:
18 electrons
Explanation:
The third energy level of an atom can hold up to 18 electrons, spread across the 3s, 3p, and 3d subshells.
Explanation:The third energy level of an atom can hold a maximum of 18 electrons. This is due to the existence of three possible subshells in this energy level, namely 3s, 3p, and 3d. As per the electron configuration rule, an s subshell can hold 2 electrons, a p subshell can hold 6, and a d subshell can hold 10. Consequently, the third energy level, which comprises these three subshells, can collectively accommodate up to 18 electrons (2 from the s subshell, 6 from the p subshell, and 10 from the d subshell). Keep in mind, however, that the complete filling of all these subshells in the third energy level is not applicable to all elements, but rather depends on the specific electron configuration of the atom.Learn more about third energy level here:https://brainly.com/question/21326300
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Joe was asked to describe the movements the Earth makes as it rotates on its axis and revolves around the sur
He said, "The Earth revolves on its axis, once every 24 hours. At the same time, it is also revolving around the sun
in a path that is an almost circular orbit."
What did Joe say in his description that is wrong?
A.The Earth revolves on its axis.
B.The Earth revolves around the sun.
C.The Earth's rotation on its axis is once every 24 hours.
D.The Earth's path around the sun is an almost circular orbit.
Answer:
A:
Explanation:
The earth rotates on it's axis every 24 hours not revolves.
Imagine rotation as a top spinning on the ground. revolving means if you tied a string to the top and spun it around your body in a circle. (hope this helps:)
Answer:
A the earth revolves on its axis.
Explanation:
It does not revolve it rotates.
Choose the word that best completes each sentence.
The growth of a plant in response to stimulus is called a
The growth of a plant in resposne to touch is called
The growth of a plant in response to light is called
Answer:
1.) Tropisms
2.) Thigmotropism
3.) Phototropism
Answer:
The growth of a plant in response to stimulus is called a tropism.
The growth of a plant in resposne to touch is called thigmotropism.
The growth of a plant in response to light is called phototropism.
Explanation:
Why do different stars have different life cycles
Which atom is involved in giving your heart energy to beat?
carbon
gold
oxygen
iron
Answer:
oxygen
Explanation:
How is frequency related to time period
Answer:
mark brainliest :)
Explanation:
Frequency and period are inversely related quantities. Frequency refers to how often something happens; whereas Period refers to the time it takes for something to happen. ... Frequency is the number of cycles/second denoted as Hertz (Hz). Period is the seconds/cycle.
Explanation:
Relation between frequency (f) and time period(T)
By the definition of frequency,
f vibrations are completed in one second
Or 1 vibration is completed in 1/f second
But, time to complete one vibration is its time period (T)
[tex]therefore \: \: \: t = \frac{1}{f} [/tex]
This shows that time period of Wave is reciprocal of frequency.
Hope this helps.
As the temperature increases, materials with
coefficients of linear
expansion increase a lot in size, while materials with small coefficients of
linear expansion increase a little in size,
Answer:large
Explanation:
As the temperature increases, materials with large coefficients of linear expansion increases a lot in size
ordinary charges are usually very large and measured in coulombs
Explanation:
What is a coulomb?
The coulomb is defined as the quantity of charge that passes through the cross section of an electrical conductor carrying one ampere for one second.
Coulomb (symbolized C) is the standard unit of electric charge in the International System of Units (SI). It is a dimensionless quantity. A quantity of 1 C is equal to approximately 6.24 x 10^18
An object with a mass of 5.0 kg accelerates 8.0 m/s^2 when an unknown force is applied to it. What is the acceleration? (20 points)
Answer:
40N
Explanation:
F=ma
F= 5 × 8 = 40N
.......
Differences in temperatures, the rotation of the earth, and the amount of water in the atmosphere
Answer:
I think the answer is the Earth's weather and climate system represent complex. Hope it helps!
A baboon pushes a 3.1 kg stone with 150 j of kinetic energy.
What is the stone’s speed?
The speed of the stone is 9.8 m/s
Explanation:
Given data,
Mass - 3 kg K.E 150-J
We have to find the speed of the stone
We have the formula
K.E =1/2 m× v ²
Rewrite the equation as
v= √ 2×K.E/m
v= √2 ×150/ 3.1
v=9.83 m/s
The speed of the stone is 9.8 m/s
A baboon pushes a 3.1 kg stone with 150 J of kinetic energy.
What is the stone’s speed?
Answer: 9.83
When a candle is lit, the wick burns, the wax melts, the candle changes shape, and the air
around the candle heats up. Which of the following is an example of a chemical change?
A. the wick burning
B. the wax melting
C. the candle changing shape
D. the air around the candle heating up
An example of the change in the chemical is option a. the wick burning.
What is a chemical change?A chemical change occurs at the time when the one chemical substance should be converted into one or more distinct substances like iron becoming rust.
It should arise via the chemical reaction process and the substance should contain different kind of properties since it contains the atoms and molecules are arranged in the different manner.
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The picture below shows an asteroid and a comet.
Which of these statements best describes the difference between asteroids and
comets?
01) Asteroids were formed closer to the sun than comets.
O2) Comets were formed closer to the sun than asteroids.
O 3) Asteroids are formed of ice and comets are formed of gases.
O4) Comets are formed of ice and asteroids are formed of gases.
Answer:
01) Asteroids are formed closer to the sun than comets.
Explanation:
Majority of asteroids are present region between Jupiter and Mars while the comets are found away from the orbits of Pluto and Neptune.
Answer: Asteroids were formed closer to the sun than comets. Option 01 is correct.
It is given that the picture shows an asteroid and a comet.
It is required to find what is the difference between asteroids and comets.
Which of the statements best describes the difference between asteroids and comets?Both an asteroid and a comet were the early part of the solar system likely 4.5 billion years but an asteroid formed near to the sun where it is too warm for substance to remain in solid form.
On the other hand comets formed distantly from the sun and therefore the ices would not melt. Most of the asteroids orbiting the sun that can be found in the asteroid belt. also asteroids were hotter than the comets.
Thus, Asteroids were formed closer to the sun than comets.
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Is it possible to use the scientific method to prove the resurrection of Jesus? *Need this ASAP*
Answer:
Explanation:The resurrection of Jesus is primarily a matter of religious faith based on historical accounts documented in religious texts and scriptures. While historical evidence, such as writings from that period or archaeological findings, can offer insights into the context and plausibility of events, proving or disproving a religious belief through the scientific method isn’t feasible.
As such, attempting to use the scientific method to prove the resurrection of Jesus may not yield definitive scientific conclusions due to the nature of the event and the limitations of scientific inquiry in matters of faith and historical events. Instead, discussions about the resurrection often involve theology, historical analysis, and personal beliefs.
In physics, work is defined as ________.
A.the process of applying a force through some distance
B.energy that is expended to push on an object
C.the process of moving an object from one place to another
D.the process of moving an object through a distance
HELP PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B, Energy that is expended to push on an object.
Explanation:
Work is the usage of energy to make an object go a certain distance.
_____ is the frictional force needed to slow down an object in motion
Answer
gravity
Explanation:
What do the sounds of a basketball bouncing and a dog barking have in common?
A.Both require a medium to travel through.
B.Both require a human eardrum in order to be
heard.
C.Both have the same amplitude.
D.Both have the same frequency.
Answer:
I think that the answer is B
Which of the following correctly describes how radio waves are transmitted and
converted into sound?
1. Waves convert radio signals into sound.
2. Particles in Earth's atmosphere carry sound.
3. Receivers reflect the sound.
1. Receivers carry radio signals.
2. Particles in Earth's atmosphere reflect the signals.
3. Waves convert the signals into sound.
1. Waves carry radio signals.
2. Receivers convert them into sound.
3. Particles in Earth's atmosphere reflect the sound.
1. Waves carry radio signals.
2. Particles in Earth's atmosphere reflect them.
3. Receivers convert them into sound.
1. Waves carry radio signals.
2. Particles in Earth's atmosphere reflect them.
3. Receivers convert them into sound.
Explanation:
Actually Radio waves are not the sound waves and they are the charged particles and we cannot hear them as such. In the earth's atmosphere, these charged particles reflects the radio signals and then send it to the receiver which then converts that into sound.
So the last option is the answer.
1. Waves carry radio signals.
2. Particles in Earth's atmosphere reflect them.
3. Receivers convert them into sound.
Which of the following is a heterogeneous mixture?
A heterogeneous mixture is simply any mixture that is not uniform in composition - it's a non-uniform mixture of smaller constituent parts. ... You can find many examples of heterogeneous mixtures in solid, liquid and gaseous form throughout nature.
Answer: Pancake Batter
Explanation:
As the car moves from point A , to point B, and finally to point C, the total energy of the car
A. decreases from point A to point B, then increases from point B to point C
B. increases from point A to point B, then decreases from point B to point C
C. stays the same, but is converted between potential and kinetic energy
D. is lost between points B and C
Answer: C
Explanation:
Energy stays the same, but there’s more kinetic energy the less it moves and mor kinetic energy the more it moves
The conservation of energy allows us to find the correct answer for how the change in mechanical energy is:
C. stays the same, but is converted between potential and kinetic energy.
The mechanical energy of bodies is the sum of the kinetic energy due to motion and the potential energies due to the configuration of the system.
If there is not friction in the system, that is, there are no dissipative forces, the mechanical energy must be conserved at all points, this is one of the important conservation laws of physics.
When applying this theorem to the case of the car moving, the energy is converted from potential to kinetic, on the path from A to B and is transformed from kinetic to potential on the path from B to C, but the total value of the mechanical energy remains constant.
Let's analyze the different claims:
A. False. The stable energy conservation theorem that must be constant at all points.
B. False. Must be constant.
C. True. According to the analysis, the mechanical energy is constant and transforms between potential and kinetic.
D. False. As there is no friction, the energy is not lost.
In conclusion using the conservation of energy we can find the correct answer for the transformation of mechanical energy is:
C. Stays the same, but is converted between potential and kinetic energy.
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