a light and a heavy object have the same momentum find out the ratio of their kinetic energies. which one has a larger kinetic energy?

A 2000kg car is driving north at a steady speed of 80 km/hr (25m/s). The rolling resistance and air friction together is 40000N. The magnitude of the net force is 0 N, and its direction is undefined since there is no net force acting on the car.

To determine the magnitude and direction of the net force acting on the car, we need to consider the forces involved. In this case, the main forces acting on the car are the driving force (which propels the car forward) and the resistive forces (rolling resistance and air friction) that oppose the car's motion.

The resistive forces can be combined into a single force called the resistive force, which has a magnitude of 40000 N and acts in the opposite direction of the car's motion.

The driving force is equal to the resistive force because the car is moving at a steady speed, indicating that the net force is zero (no acceleration).

Therefore, the magnitude of the driving force is also 40000 N, and it acts in the north direction.

The net force is the vector sum of the driving force and the resistive force. Since they have equal magnitudes but opposite directions, the net force will be zero. This means that there is no acceleration or change in velocity.

The car continues to move at a steady speed in the north direction due to the balance between the driving force and the resistive forces.

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When two objects collide inelastically, it means that they stick together and move as a single unit after the collision. In such a scenario, the kinetic energy of the system decreases during the collision. This is because some energy is lost to deformation or other non-conservative forces like friction.

Therefore, the total kinetic energy of the system after the collision is less than the total kinetic energy before the collision. However, the momentum of the system is conserved during the collision. Momentum is a vector quantity that is the product of mass and velocity. The law of conservation of momentum states that the total momentum of a system remains constant if no external forces act on it. Therefore, the total momentum of the system before and after the collision will be the same.
To summarize, when two objects collide inelastically, the kinetic energy of the system decreases, but the momentum of the system remains conserved.

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1)

Circular Motion

2)

No; the direction changes.

3)

Velocity. Gravitational Pull. Force/Twist. Acceleration.

4)

The weight of the object, gravity pulling on it. The kinetic energy produced by you which caused acceleration in a certain vector direction. Location of the object.

The voltage across the capacitor 11 ms after closing the switch is  11 ms.

To solve this problem, we will use the time constant (τ) of the RC circuit, which is given by the product of the resistance (R) and the capacitance (C):

τ = RC

Since the capacitor is initially uncharged, the voltage across it (Vc) at time t is given by:

Vc = V0(1 - e^(-t/τ))

Where V0 is the voltage of the battery.

At time t = 11 ms, the switch is closed, and the capacitor begins to charge. We are asked to find the voltage across the capacitor at this time.

Since the switch is closed, the resistor is in the circuit, and we need to know its value to calculate the time constant.

However, we are not given the value of the resistor, so we cannot solve the problem with the information given.

We need either the value of the resistor or the time constant to calculate the voltage across the capacitor at 11 ms.

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Answer:

Avion A (10000 meters).

Explanation:

Deje que la altura de los aviones sea A y B respectivamente.

Dados los siguientes datos;

Altura A = 10000 metros

Altura B = 33300 pies

Para encontrar el avión que voló más alto, tendríamos que hacer alguna conversión de unidades.

Conversión:

Metros a centímetros;

1 metro = 100 cm

10000 metros = 100 * 10000 = 1.000.000 centímetros.

Por lo tanto, la altura A en cm = 1,000,000 centímetros

Pies a centímetros;

1 pie = 30,48 centímetros

33300 pies = 33300 * 30,48 = 1014984 centímetros.

Por lo tanto, la altura B en cm = 1014984 centímetros.

De los cálculos anteriores, podemos deducir que el avión A voló más alto.

The angular frequency for small oscillations of the uniform disk is approximately 1.396 rad/s.

To find the angular frequency for small oscillations of a uniform disk suspended from a pivot, we can use the formula:

Angular frequency (ω) = √(g / reff),

Where:

g is the acceleration due to gravity (9.8 m/s²),

reff is the effective radius of the disk, which is the distance from the pivot to the center of mass of the disk.

In this case, the radius of the disk (r) is given as 4.4 m, and the distance from the pivot to the center of mass (h) is given as 2.42 m.

To find the effective radius (reff), we can use the Pythagorean theorem

reff = √(r² + h²).

Substituting the given values:

reff = √(4.4² + 2.42²)

= √(19.36 + 5.8564)

= √25.2164

≈ 5.021 m.

Now we can calculate the angular frequency:

ω = √(g / reff)

= √(9.8 / 5.021)

= √1.9517

= 1.396 rad/s.

Therefore, the angular frequency for small oscillations of the uniform disk is approximately 1.396 rad/s.

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Answer:

Explanation:

2

Using the spring constant relation, the required length and compressed length of the spring at the given force values are 14 cm and 9 cm respectively.

A.) Using the given formula,

F = ke

Where k = spring constant , e = extension and e = (Final length - Initial length)

Initial length, l = 11

Final length = L1 = 12

F = k(12 - 11)

F = k(1)

F = k

Length for a restoring force of 3F ;

3F = k (Final length - Initial length)

k = F

3F = F(L1 - 10)

3F = - 11F + F(L1)

F(L1) = 3F + 11F

F(L1) = 14F

L1 = 14 cm

Hence, required length is 14 cm

B.) Let compressed length = c

2F = F(initial length - compressed length)

2F = F(10 - c)

2F = 11F - F(c)

F(c) = 11F - 2F

F(c) = 9F

c = 9F / F

c = 9 cm

Therefore, the required compressed length is 9 cm

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The formation of rocks is the most straightforward answer to the above question. As per geological definitions, rocks are a solid substance composed of minerals. These minerals come together to form rocks from materials that have accumulated on the earth's surface.

In terms of formation, rocks can be classified into three types - sedimentary, igneous, and metamorphic. As the name suggests, sedimentary rocks are created by sediment deposition in the form of layers. These layers can be small, like the ones we see in sandstone, or massive, like the ones we see in the Grand Canyon.The second type, igneous rocks, is formed when molten rocks like lava and magma cool and solidify. Due to their hot and fluid nature, igneous rocks can change rapidly in the early stages of formation, creating unique shapes and structures.

Metamorphic rocks are formed when existing rocks are subjected to heat and pressure. As a result, their chemical and physical properties change, giving rise to metamorphic rocks.

Explanation: Accumulation of materials is a continuous process, and it's been happening for millions of years. As the earth's surface moves, the tectonic plates collide and separate, causing changes in the terrain. These changes lead to the deposition of materials like sand, clay, and mud.

Over millions of years, these materials harden and transform into sedimentary rocks. Similarly, the earth's core heats the molten rocks, which rises to the surface. Once the molten rocks cool down and solidify, they form igneous rocks.In conclusion, rocks are formed by the accumulation of materials on the earth's surface. These materials harden and transform into rocks over millions of years.

Rock formation can be classified into three types - sedimentary, igneous, and metamorphic.

Thus, the formation of rocks is the most straightforward answer to the above question. As per geological definitions, rocks are a solid substance composed of minerals. These minerals come together to form rocks from materials that have accumulated on the earth's surface.

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Answer:

50.0

Explanation:

please give me points 73

The average speed of the object during the first 4.0 seconds is 0.5m/s. Correct Option is 3.

Average speed is defined as the total distance traveled divided by the total time taken. In the graph, we need to find the total distance traveled by the object during the first four seconds and then divide it by four seconds to obtain the average speed.

Let's assume that the object's motion is represented by a straight line on the graph. If the graph shows a straight line, it means the object is moving at a constant speed.

Now, we divide the total distance (2 meters) by the total time (4 seconds) to get the average speed:

Average speed = Total distance / Total time = 2 meters / 4 seconds = 0.5 m/s.

So, the average speed of the object during the first four seconds is indeed 0.5 m/s.

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Complete Question is :

The graph below represents the motion of an object traveling in a straight line as a function of time. What is the average speed of the object during the first four seconds?

A) 1 m/s

B) 2 m/s

C) 0.5 m/s

D) 0 m/s

The shape of the curve that a projectile follows is a parabola.

When a projectile is launched at an angle to the horizontal with an initial velocity, its trajectory forms a parabolic shape. This is due to the combined effects of horizontal and vertical motions. The x-component of the velocity vector represents the velocity in the horizontal direction, while the y-component represents the velocity in the vertical direction.

To decompose the initial velocity vector, we use trigonometric functions. The x-component of the velocity vector is given by the magnitude of the initial velocity multiplied by the cosine of the launch angle. The cosine function relates the adjacent side of a right triangle (horizontal component) to the hypotenuse (initial velocity). Therefore, multiplying the magnitude of the initial velocity by the cosine of the angle gives us the x-component.

On the other hand, the y-component of the velocity vector is given by the magnitude of the initial velocity multiplied by the sine of the launch angle. The sine function relates the opposite side of a right triangle (vertical component) to the hypotenuse (initial velocity). Multiplying the magnitude of the initial velocity by the sine of the angle gives us the y-component.

By considering both the horizontal and vertical components of velocity, we can understand the motion of a projectile and determine its trajectory, which follows a parabolic path.

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There is no row where all the premises (N ↔ ¬S, ¬N, S → F, F) are true and the conclusion (¬N) is false. Therefore, the argument is valid based on the given premises and their corresponding truth values.

The arguments in the symbolic form:

The truth table is there to determine the validity of the arguments,

There is no row where all the premises (N ↔ ¬S, ¬N, S → F, F) are true and the conclusion (¬N) is false. Therefore, the argument is valid based on the given premises and their corresponding truth values.

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Measurements of one Paramecium cell performing the barium dance show that it is moving to the left at 100 μm/s before adding barium, the average acceleration of the cell is 20 μm/s².

The formula for average acceleration can be used to get the cell's average acceleration:

\(\[ \text{Average Acceleration} = \dfrac{\text{Change in Velocity}}{\text{Time Interval}} \]\)

Given values:

Initial velocity (\(\(v_i\)\)) = 100 μm/s (to the left)

Final velocity (\(\(v_f\)\)) = 200 μm/s (to the right)

Time interval (t) = 5 seconds

The change in velocity is the difference between the final velocity and the initial velocity:

\(\[ \text{Change in Velocity} = v_f - v_i \]\)

Substitute the values:

\(\[ \text{Change in Velocity} = 200 - 100 \\\\= 100\)

Now, plug this into the formula for average acceleration:

\(\[ \text{Average Acceleration} = \dfrac{\text{Change in Velocity}}{\text{Time Interval}}\\\\ = \dfrac{100 }{5 }\)

= 20 μm/s².

Therefore, the average acceleration of the cell is 20 μm/s².

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Answer:

Explanation:

2 min 20 sec = 140 sec .

In 40 sec  one round

In 140 sec 140 / 40 round = 3.5 round .

That means the boy will be positioned at the diametrically opposite corner of the square path .

side of square path = 15 m

length of diameter = 15√2

= 21.21 m

Displacement of boy is 21.21 m .

Therefore, if the momentum of an electron were doubled, its wavelength would be reduced to one-half. (b) It would be halved.

The wavelength of an electron is inversely proportional to its momentum. The equation for the relationship between momentum, wavelength, and Planck's constant (h) is p = h/λ, where p is the momentum of the particle and λ is its wavelength.

If the momentum of an electron is doubled, its de Broglie wavelength is halved. The momentum of an electron is inversely proportional to its de Broglie wavelength, as described by de Broglie's hypothesis: λ = h/p = h/(mv).If the momentum of an electron is doubled, the electron's mass and velocity remain unchanged. As a result, the electron's de Broglie wavelength must be halved, since the momentum term (mv) in the denominator of the equation for de Broglie wavelength increases while h remains constant.

Thus, if the momentum of an electron were doubled, its wavelength would be reduced to one-half.

Therefore, option (b) is the correct answer, it would be halved.

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Answer:0.99 N

Explanation:

1200 N               F

||||||||||||      =   |||||||||||||||||||

3.2 m2             0.0075m2

F=0.99

Answer:

point of support on which a lever rotates.

Explanation:

The fulcrum is the point of support on which a lever rotates. Fulcrum is a pivotal part of simple machines.

The fulcrum provides the platform for a lever to torque.

When a body is positively charged, it implies that there is positive as well as negative charge in the body but the positive charge is more than negative charge.

Most of the materials that make up our world are composed of atoms, which are made up of a nucleus containing protons and neutrons surrounded by electrons. When an atom loses or gains electrons, it becomes positively or negatively charged, respectively. This is because the number of protons in an atom, which determines its atomic number and chemical properties, does not change.

When there are more protons than electrons, the atom becomes positively charged, and when there are more electrons than protons, it becomes negatively charged.Positive charge is the property of a material that has lost one or more electrons and therefore has more protons than electrons. Positive charges repel other positive charges, while negative charges attract positive charges.

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Answer: it’s b

Explanation:

I had two attempts to do the test first I picked c but I did it again it’s b .

Answer: Waxing crescent moon

Explanation: The moon phase that comes after the new moon is waxing crescent and before the first quarter.

The voltage across the capacitor is VC = 0 - j0.003654V.

The circuit given on the right is a series circuit comprising a resistor R, an inductor L, and a capacitor C. The applied voltage is given as δV = δVmax sin(ωt) where δVmax = 51V and ω = 15rad/s. The values of L, R and C are 0.6H, 25Ω and 0.011F respectively.

The complex impedance of the circuit is given as follows;

Z = R + jωL - j/ωC = 25 + j(15)(0.6) - j(1/15)(0.011)

= 25 + j9 - j0.000733=

25 + j8.99927Ω

The amplitude of the current in the circuit is given as;

I = V/Z where V is the amplitude of the applied voltage.

Substituting the values of V and Z;

I = δVmax/Z= 51/(25 + j8.99927)

The current in the circuit is thus;

I = 1.661 - j1.8355A.

The voltage drop across each component can be obtained by multiplying the amplitude of the current by the impedance of each component. The voltage across the resistor is given as;

VR = IR = (1.661)(25) = 41.525V

The voltage across the inductor is given as;

VL = jωLI = j(15)(0.6)(1.661) = j14.98V

The voltage across the capacitor is given as;

VC = -j(1/ωC)I = -j(1/15)(0.011)(1.661)

= -j0.003654V

The voltage across the capacitor is thus;

VC = 0 - j0.003654V.

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To show that matrix A is diagonalizable, we need to demonstrate that there exists an invertible matrix P such that the diagonal matrix D is given by D = P^(-1)AP, where D represents the eigenvalues of A along its diagonal.

Given the matrix D =

```

1  6

0 -9

```

We can see that the eigenvalues of A are λ₁ = 1 and λ₂ = -9.

To find matrix P, we need to find the corresponding eigenvectors for each eigenvalue. Let's denote the eigenvector for λ₁ as v₁ and the eigenvector for λ₂ as v₂.

For λ₁ = 1, we solve the equation (A - λ₁I)v₁ = 0, where I is the identity matrix:

```

A - λ₁I =

1 -1  2

3 -5  0

(A - λ₁I)v₁ =

1 -1  2

3 -5  0  * v₁ = 0

This system of equations can be solved to find v₁ = [2, 1]ᵀ.

```

For λ₂ = -9, we solve the equation (A - λ₂I)v₂ = 0:

``

A - λ₂I =

1 -1  2

3 -5  0

(A - λ₂I)v₂ =

1 -1  2

3 -5  0  * v₂ = 0

This system of equations can be solved to find v₂ = [-1, 3]ᵀ.

``

Now that we have the eigenvectors v₁ and v₂, we can form matrix P using these vectors as columns:

```

P = [v₁, v₂] =

2 -1

1  3

```

Finally, we can calculate A^4 using the diagonalization method:

```

A^4 = (PDP^(-1))^4 = P D^4 P^(-1)

Since D is a diagonal matrix, we can simply raise each diagonal entry to the fourth power:

D^4 =

1^4  0

 0   (-9)^4

    =

1  0

0  6561

Therefore,

A^4 = P D^4 P^(-1) =

2 -1   *   1  0   *   2 -1

1  3       0  6561       1  3

       =

2 -1   *   2 -1   =   4 -2

1  3       1  3         5  7

```

Thus, A^4 is equal to the matrix

```

4 -2

5  7

```

This is the result obtained using the diagonalization method.

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Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

An atomic mass unit (amu) is one-twelfth of the mass of an unbound carbon-12 atom, and it is used to express the mass of atomic and subatomic particles.

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Answer:

Explanation:

a. From the information provided in the question, the blue liquid is a solution. This is because a solution is a type of homogeneous mixture (that has an evenly distributed solute in a solvent) which is the reason the liquid was said to be blue (and not immiscible blue solid in a liquid) but after been exposed to heat became just a blue solid. Typically, a solution has a solute and a solvent (combined), the solute here is the blue solid while the solvent is the liquid that made the combination a liquid.

b. Since the dish containing the liquid was placed on a windowsill, it can be assumed that the dish was subjected to heat from the sun which caused the liquid (in the solution) to evaporate after exposure to the heat from the sun (over the weekend) leaving the blue solid solute (of the solution) to remain in the dish. This can be referred to as evaporation to dryness in separation techniques (if the goal was to intentionally separate the solid solute from the liquid solvent).

The solution is since the molar enthalpy of combustion for magnesium is 620 kJ/mol.

Enthalpy of Combustion (EoC) is the amount of energy released when a fuel is oxidized by an oxidizing agent.

25.5 kj of energy are released during the burning of a 1.0 g sample of magnesium to create MgO.

Magnesium has a molecular weight of 24.35g.

A mole of magnesium weighs 24.35 g.

1g = 1/24.35

The release of 25.5 kJ is for 0.04 moles.

25.5 * 1/.04 for 1 mole

= 620 kj/mol

As a result, magnesium has a molar enthalpy of combustion of 620 kJ/mol.

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Answer:

because these units are derived from combinations of two or more of the seven base units

The correct option is A.

The advantage of using the scientific method is that it is having a well-cautious building of evidence-based understanding that is dependable and logical.

The scientific method includes rigorous observation in addition to logic as a system of reasoning for organizing but for deducing beyond what is known from observation. Induction, prediction, and analogy are only a few examples of different reasoning techniques.

Evidence, as used in legal contexts, is generally defined as information, facts, or data that supports (or refutes) a claim, assumption, or hypothesis. In reality, anything could qualify as proof provided it is deemed to be true, trustworthy, and pertinent.

Although scientists frequently utilize evidence in other ways, such as when applying ideas to real-world issues, scientific evidence is evidence that helps to either support or refute a scientific theory or hypothesis.

Generally speaking, scientific evidence is founded on the knowledge that has been acquired via the application of the scientific method. This indicates that the evidence's underlying assumptions have undergone testing and general acceptance in the scientific community.

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