Two cars are moving. The first car has twice the mass of the second car but only half as much kinetic energy. When both cars increase their speed by 6.11 m/s, they then have the same kinetic energy. Calculate the original speeds of the two cars.
first car
second car

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1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

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Answer:

it's b

Explanation:

no shade, direct sunlight

Answer:

Seismic attenuation describes the energy loss experienced by seismic waves as they propagate. It is controlled by the temperature, composition, melt content, and volatile content of the rocks through which the waves travel.

Explanation:

Answer:

a,b,c,e,d

Explanation:

The typical approach by the scientists use to understand the physical world includes the following steps:

Identifying a Problem

Researching the Information

Stating a Hypothesis (Possible Solution)

Testing the Hypothesis

Gather Data

Analysis of the Data

Stating a Conclusion

Publishing the Result

Therefore, according to the question the correct order would be:

a. Observation of physical world.

b. Create hypothesis about observation.

c. Test consequences of hypothesis

e. Adjust results to agree with popular opinion

d. Report outcome

Answer:

h = 69.6 m

Explanation:

Data:

Formula:

Replace and solve:

The building has a height of 69.6 meters.

Greetings.

Answer:

Explanation:

K.E=1/2 mv²

m=1160 kg

v=19.0 m/s

so k.e=1/2*1160*(19.0)²

K.E=1/2*1160*361

K.E=1/2*418760

K.E=209380=2.0*10^5 j

Answer:

The formula is a = F m so in this case a = 5 10 = 0.5 m s 2

Explanation:

Answer:

I'm in 10th grade

Explanation:

a)The capacitive reactance is 680 ohms.

\(X_{c}=1/2\pi fC\)

\(X_{c}=1/2\pi *30*7.8*10^{-6}\)

\(X_{c}=680\\\)

b)The rms current is 0.10 amperes.

\(I_{rms}=V_{rms}/X_{c}\)

\(I_{rms}=71/680\)

\(I_{rms}=0.10A\)

c)The maximum current in the circuit is 0.147 amperes.

\(I_{max}=\sqrt{2} *I_{rms}\)

\(I_{max}=\sqrt{2} *0.10\)

\(I_{max}=0.147A\)

What is capacitive reactance?

The measure of the opposition to alternating current by the capacitor is called Capacitive Reactance. The unit of Capacitive Reactance is Ohms-like resistance. The symbol of Capacitive Reactance is XC

What is the capacitive reactance formula?

Xc = 1/2πfc

XC is the capacitive reactance, π is a constant with the value of 3.14, f is the frequency, and c is the capacitance.

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The velocity vector is always tangential to the motion path for a particle with curvilinear motion. The velocity of a particle describes the rate of change of its position over time and its direction is always tangent to the path of the particle's motion.

The acceleration vector describes the rate of change of the velocity and its direction can be either tangential or normal to the motion path, depending on whether the particle is changing speed or direction.

Yes, vectors and scalars are different. A scalar is a physical quantity that has only magnitude and no direction. A vector, on the other hand, is a physical quantity that has both magnitude and direction, such as velocity, force, or displacement.

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Energy is that which has the ability to cause change in matter.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

So in simple definition we can say that energy is that which has the ability to cause change in matter.

Based on the given statements we can classify them as;

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Answer:

Acceleration is the rate at which the velocity changes .

Answer:

  D.  The current is the same across all resistors in the circuit.

Explanation:

In a series circuit, all circuit elements are connected so that there is exactly one current path. That path goes through each of the elements of the circuit.

The current is the same through all resistors in a series circuit.

The precession is the motion of Earth along its orbital path.

Earth's rotation or Earth's spin is the rotation of planet Earth around its own axis.

Precession of the Earth's axis consists of a cyclic wobbling in the orientation of Earth's axis of rotation with a period of 25,772 years.

The precession of the Earth's axis  wobble is due to tidal forces caused by the gravitational influences of the Sun and Moon.

Thus, precession is the motion of Earth along its orbital path.

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The ranking is based on the tilt of the Earth's axis and its orbit around the Sun. The figure at 40°N in June receives the most daylight because it is located at a high latitude during the summer solstice in the Northern Hemisphere. The Earth's axis tilts towards the Sun, resulting in longer days and shorter nights. The figure at 40°S in December receives a moderate amount of daylight as it is located at a lower latitude during the summer solstice in the Southern Hemisphere.

The figure at 40°N in December experiences less daylight because it is located at a high latitude during the winter solstice in the Northern Hemisphere, with shorter days and longer nights. Lastly, the figure at 40°S in June receives the least amount of daylight as it is located at a lower latitude during the winter solstice in the Southern Hemisphere, where the days are shortest and the nights are longest. Based on the information given, the ranking of figures based on the amount of daylight they experience in a 24-hour period, from most to least.

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Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.

Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:

1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.

2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.

3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.

4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.

These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.

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While kinetic stability is the stability of a system's greatest energy state, thermodynamic stability refers to the stability of the system's lowest energy state.

The thermodynamic perspective focuses on the amount of energy needed for chemical events to occur. The kinetic perspective, on the other hand, is concerned with the amount of time needed for the aforementioned phenomena to occur. When it comes to the stability of a compound, these viewpoints are complementary to one another: a system is said to be thermodynamically stable when it is found to be at its lowest energy level or in chemical equilibrium with its surroundings - the activation energy to change the system is high and the reaction does not happen spontaneously. A stable system will react much more slowly than an unstable one in terms of kinetics; similarly to thermodynamics, the reaction does not happen on its own.

Toluene nitration at 0 degrees celsius is an illustration of kinetic control in action. A direct reflection of the rate of product production is the distribution of the products (orto-, 61,5%; meta-, 1,5%; para-, 37,0%). It is feasible to comprehend the thermodynamic rule in another toluene reaction (the Friedel-Crafts alkalation) where the proportion of various products created over time reflects the greater stability of each product rather than the passage of time. Time controls how the reaction starts, and energy controls how the entire reaction works.

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The young's modulus in a cantilever will be 3.92 x 10¹⁰ N/m².

Young's modulus (E) is a material property that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress () to tensile strain (). Where stress denotes the amount of force applied per unit area ( = F/A) and strain denotes the extension per unit length

Given that the length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.

The young's modulus will be calculated by the formula below,

Y = (4gl³) / (bd³) x ( M / y )

Y = ( 4 x 9.81 x 1³ x 0.150 ) / ( 0.03 x 0.005³ x 0.04 )

Y = 3.92 x 10¹⁰ N/m².

Therefore, young's modulus will be 3.92 x 10¹⁰ N/m².

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Answer:

C, D, and E

Explanation:

Answer:it’s C, D, E

Explanation:

The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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Answer:

Explanation:

I'm not 10% sure but i think that if you were to do:

603 + 277 = 880

1000 - 880 = 120

So to keep it from moving, i think you would need to pull with a force of 120N

The force with which it should be pulled to keep the knot from moving is 663.58 N.

Newton's third law states that, for every action, there is an equal and opposite reaction.

Here,

Force exerted by Roberta, F₁ = 277 N

Force exerted by Michael, F₂ = 603 N

Since, Roberta is pulling to the west and Michael is pulling towards the south, the angle between the forces applied by them is 90°.

The force needed to keep the knot from moving is the resultant force of these two forces.

Therefore, the resultant force,

Fₙ = √F₁² + F₂²

Fₙ = √(277)² + (603)²

Fₙ = 663.58 N

Hence,

The force with which it should be pulled to keep the knot from moving is 663.58 N.

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Answer:

c. Both require the same amount of work

Explanation:

GPE = mgh

50 * 10 * 2 = 1000 J

25 * 10 * 4 = 1000 J

Therefore, both are same and require the same amount of work.

Thenk and mark me brainliest :)

Both require the same amount of work. The correct option is C.

The potential energy that a massive object has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects fall toward one another, potential energy associated with the gravitational field is released.

Given that there are two activities,

1) lifting a 50 kg sack vertically 2 meters.

2)  lifting a 25 kg sack vertically 4 meters.

The energy required to lift the weight will be calculated as:-

GPE = mgh

50 x 10 x 2 = 1000 J

25  x  10 x  4 = 1000 J

So we can conclude that both activities require the same amount of work.

Therefore, both require the same amount of work. The correct option is C.

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The wave speed remains the same, but the wavelength will decrease as the frequency increases.

The speed of a wave is determined by the product of its wavelength and frequency. This relationship is described by the formula:

wave speed = wavelength x frequency

In this case, the given wavelength is 0.5 m and the frequency is 10 Hz. Therefore, the initial wave speed can be calculated as:

wave speed = 0.5 m x 10 Hz = 5 m/s

If the frequency of the wave increased, the wave speed and wavelength would change according to the following relationship:

wave speed = new wavelength x new frequency

However, the wavelength and frequency are inversely proportional to each other. This means that as the frequency increases, the wavelength will decrease, and vice versa. This relationship is described by the formula:

new wavelength = old wavelength x (old frequency / new frequency)

Let's say the frequency of the wave increases to 20 Hz. Using the above formula, the new wavelength can be calculated as:

new wavelength = 0.5 m x (10 Hz / 20 Hz) = 0.25 m

Now that we know the new wavelength, we can calculate the new wave speed using the wave speed formula:

new wave speed = new wavelength x new frequency = 0.25 m x 20 Hz = 5 m/s

As you can see, the wave speed remains the same, but the wavelength decreases as the frequency increases.

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Answer:

According to Newton's second law of motion, a net force causes the acceleration of mass according to Fnet = ma. For uniform circular motion, the acceleration is centripetal acceleration: a = ac. Therefore, the magnitude of centripetal force, Fc, is F c = m a c F c = m a c .

Explanation:

Answer:

inverse square relationship

Explanation:

Both the Newton's law of universal gravitation and coulomb's law have their force inversely proportion to the square of the distance between the bodies.

Answer:

x = 46.54m

Explanation:

In order to find the length of the incline you use the following formula:

\(x=v_ot+\frac{1}{2}at^2\)      (1)

vo: initial speed of the soccer ball = 0 m/s

t: time

a: acceleration

You first use the the fact that the ball traveled 22 m in 2.2 s. Whit this information you can calculate the acceleration a from the equation (1):

\(22m=\frac{1}{2}a(2.2s)^2\\\\a=9.09\frac{m}{s^2}\)      (2)

Next, you calculate the distance traveled by the ball for t = 3.2 s (one second later respect to t = 2.2s). The values of the distance calculated is the lenght of the incline:

\(x=\frac{1}{2}(9.09m/s^2)(3.2s)^2=46.54m\)       (3)

The length of the incline is 46.54 m

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Take into account that each pair of values on the table can be represented by a point in the coordinate system. In this case, the independent variable is time, then, the x-axis represents the values of time. Moreover, position is dependent variable, then y-axis represents the values of position.

By placing the corresponding points on the coordinate system and join them with a curve, you obtain the following graph: