a complete collision between a blowdart and a low-friction cart, darts mass is 28.1g and the cart mass is 300.8g a collision happened at 0.1500s. the distance was 45cm. Using your measurements of the blowdart's position and time, determine the initial velocity of the blowdart. Make sure to include units. Is this an elastic or inelastic collision? use the conservation of momentum equation to predict what the velocity of the blowdart and cart would be after the collision. (this is right before the blowdart and the cart have moved along with each other).

7.7µW/m^2 is  the intensity at a point that is at an angle of 2.06° from the center of the central fringe

Define  double-slit experiment

The double-slit experiment demonstrates the basic probabilistic structure of quantum mechanical processes while also showing that light and matter can exhibit traits of both classically defined waves and particles.

The power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

I ⇒ 1/2*I1 *cos2.06

I1 ⇒ 33 *cos 2.06

I ⇒ 1/2 *33 *cos 2.06 ⇒7.7µW/m^2

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The horizontal force acting on system B (the block alone) can be positive, negative, or zero, depending on the direction and magnitude of external forces applied to it. Positive forces push or pull the block to the right, negative forces push or pull the block to the left, and zero forces result in no acceleration or constant velocity in the horizontal direction.

When considering the horizontal forces acting on the block, they can be categorized as positive, negative, or zero.

1. Positive horizontal force: A positive horizontal force is acting on the block in the rightward direction. This typically occurs when an external force is applied to the block, pushing or pulling it to the right. In this case, the block will experience acceleration or movement towards the right.

2. Negative horizontal force: A negative horizontal force is acting on the block in the leftward direction. This occurs when an external force is applied to the block, pushing or pulling it to the left. The block will experience acceleration or movement towards the left in this scenario.

3. Zero horizontal force: When there is no external force applied in the horizontal direction, or when the positive and negative horizontal forces acting on the block are equal and opposite, the net horizontal force on the block is zero. This means the block will either remain stationary or continue moving at a constant velocity in the horizontal direction, depending on its initial conditions.

In summary, the horizontal force acting on system B (the block alone) can be positive, negative, or zero, depending on the direction and magnitude of external forces applied to it. Positive forces push or pull the block to the right, negative forces push or pull the block to the left, and zero forces result in no acceleration or constant velocity in the horizontal direction.

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The actual things we are seeing if we see the bright flash of a meteor are a pea-sized particle and the surrounding air as the particle burns up in our atmosphere.

A meteor is a space rock that enters the atmosphere of the earth and produces a streak of light in the sky. Sometimes, people refer to them as shooting stars. When meteoroids enter the earth's atmosphere, they become meteors.

The night sky can be illuminated by meteors, also known as shooting stars, which are bits of space dust and debris that burn up in the Earth's atmosphere.

A pea-sized particle burns up in our atmosphere, and the surrounding air In other words, you do not see the particle itself, but only the effects it has on the surrounding air as it burns up.

Thus, we are seeing burned particles or dust when we see meteors.

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The answer is chemical

Gravitational force between two masses m, and m, is represented as F = Gm₂ m₂ / r^2 where r = xi+yj + zkG, m, m₂ are nonzero constants and let's assume that I = 0

a) Calculation:For F = Gm₂ m₂ / r^2.

Using r = xi+yj + zk and let r^2 = x^2 + y^2 + z^2∴ F = Gm₂ m₂ / (x^2 + y^2 + z^2), Where G, m, m₂ are nonzero constants. Divergence of F = ∇ · F= 1/r^2(d/dx(r^2Fx) + d/dy(r^2Fy) + d/dz(r^2Fz))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)^(3/2)) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)^(3/2)) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)^(3/2)))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2))= 1/r^2(Gm₂ m₂ [2x(x^2+y^2+z^2)-3x^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2y(x^2+y^2+z^2)-3y^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2z(x^2+y^2+z^2)-3z^2]/(x^2+y^2+z^2)^(5/2))= 1/r^2(Gm₂ m₂ [(2x^2+2y^2+2z^2-3x^2)/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3y^2]/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3z^2]/(x^2+y^2+z^2)^(3/2)])= 1/r^2(Gm₂ m₂ [x^2+y^2+z^2]/(x^2+y^2+z^2)^(3/2))= 0.

Curl of F = ∇ × F= i(d/dy(Fz) - d/dz(Fy)) - j(d/dx(Fz) - d/dz(Fx)) + k(d/dx(Fy) - d/dy(Fx))= i(d/dy(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ y/(x^2+y^2+z^2))) - j(d/dx(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ x/(x^2+y^2+z^2))) + k(d/dx(Gm₂ m₂ y/(x^2+y^2+z^2)) - d/dy(Gm₂ m₂ x/(x^2+y^2+z^2)))= i(Gm₂ m₂ [-2xz]/(x^2+y^2+z^2)^(5/2)) - j(Gm₂ m₂ [-2yz]/(x^2+y^2+z^2)^(5/2)) + k(Gm₂ m₂ [(x^2+y^2-2z^2)]/(x^2+y^2+z^2)^(5/2))

b) Calculation:The line integral of F along a curve C can be evaluated by the following formula∫C F.dr = ∫∫ ( ∇ x F) ds, Where r is the position vector of the curve, s is the scalar parameter representing the curve, and the integral is evaluated from the initial point to the final point.

Using the curl of F obtained in part a) and for the surface with ∂S as C∫C F.dr = ∫∫ ( ∇ x F) ds= ∫∫ curl(F) ds= ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds...[1]

Let's consider the surface S as a plane perpendicular to the z-axis of the form ax+by+c=0 and the curve C as the intersection of the plane and the cylinder x^2 + y^2 = a^2.

Let's choose the unit normal to the surface S as k (along the z-axis).

The curl of F is a vector field perpendicular to the plane and along the direction of k.

Thus the integral can be written as∫C F.dr = ∫∫ ( ∇ x F) . k ds= ∫∫ (x^2+y^2-2z^2) ds...[2]

Now let's evaluate the integral over the given plane ax+by+c=0. We can write x = t, y = (c-at)/b and z = 0, where t is the scalar parameter along the line of intersection of the plane and the cylinder (x^2 + y^2 = a^2).

Since the curve C is on the cylinder of radius a, we have x^2+y^2 = a^2 ⇒ t^2+(c-at)^2/b^2 = a^2On solving for t, we have t = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2].

Substituting t in x and y, we get the curve C in the x-y plane as a function of the scalar parameter s asx = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2]y = (c-at)/b= (c-(bc±ab √(a^2-b^2-c^2))/[a^2+b^2])/b.

Now we can evaluate the integral over the curve C, which is along the intersection of the plane and the cylinder.

Integral over C (x^2+y^2-2z^2) ds= ∫t₁^t₂ [(t^2 + [(c-at)^2]/b^2 - 2(0)^2)^(1/2)] dt= ∫t₁^t₂ [(a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2]^(1/2) dt.

Now we can choose the value of t₁ and t₂ such that the square root in the integrand is minimized (so that the integral is path-independent).

This can be done by choosing the value of t that gives the minimum value of (a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2 over the range of t from t₁ to t₂.

On differentiation with respect to t and equating to 0, we get the value of t = bc/(a^2+b^2).

Substituting this value of t in the integrand, we get the minimum value of the square root in the integrand to be |c| √(a^2+b^2)/|b|.

Thus the integral over C is given by∫C F.dr = ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds= ∫∫ (x^2+y^2-2z^2) ds= ∫t₁^t₂ |c| √(a^2+b^2)/|b| dt= |c| √(a^2+b^2)/|b| (t₂-t₁).

Now we can see that the integral is path-independent as it depends only on the end points t₁ and t₂ and not on the path taken to reach them.

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The Average flow rate is 2.595cm^3/s.

What is average flow rate?

The fluid flow rate is the volume of fluid per unit time that passes by a point in area A. In the shaded cylinder, the fluid passes point P in a uniform pipe over the course of time t. The cylinder's volume is Ad, its average velocity is v=d/t, and its flow rate is therefore Q=Ad/t=A v.

What is speed?

The rate at which the position of an object changes in any direction The distance traveled in relation to the time required to travel that distance is known as speed. Speed is a scalar quantity because it only has a direction and no magnitude.

The average flow rate is calculated by divide the speed (v) by mileage (z),

Average flow rate= V/Z

Here,  V stands for speed and Z stands for mileage.

=100/10.7

=9.345

= 9.345(1000)/1(3600)

=2.595cm^3/s

Therefore, the Average flow rate is 2.595cm^3/s.

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(a) The magnitude of force F is 9 N.

(b) The tension between block A and B is 11.76 N.

Since the blocks are identical and the strings are all the same length, we can assume that the tension in the string between blocks A and B and between blocks B and C are the same.

Let's call this tension T.

To find the magnitude of force F, let's first consider the forces acting on block C.

The tension in the string between blocks B and C is 3 N, and there is no friction, so the net force on block C is 3 N to the right.

Since all the blocks are connected, the same force is acting on block B, and therefore the net force on block B is also 3 N to the right.

Similarly, the net force on block A is 3 N to the right. Since there are no other forces acting on the system, the net force on the entire system (the three blocks and the strings) must be equal to F.

Therefore, we can write:

F = 3 N + 3 N + 3 N = 9 N

Since the mass of each block is 0.4 kg, we can use Newton's second law (F = ma) to relate the net force on each block to its acceleration. Since the blocks are connected, they all have the same acceleration.

Let's call this acceleration a.

For block A, we have:

T = ma

For block B, we have:

T = ma

Since the tensions are the same, we can set these two equations equal to each other and solve for a:

ma = ma

Dividing both sides by m, we get:

a = a

This means that the acceleration of the blocks is the same as the acceleration due to gravity, which is approximately 9.8 m/s^2. Now we can use this value of a to find the tension T:

For block A, we have:

T - mg = ma

where;

Substituting a = g, we get:

T - (0.4 kg)(9.8 m/s^2) = (0.4 kg)(9.8 m/s^2)

T = (0.4 kg)(9.8 m/s^2) + (0.4 kg)(9.8 m/s^2)

T = 7.84 N + 3.92 N

T = 11.76 N

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Answer: B

Explanation: efficiency is the useful energy supplied; useful energy supplied doesn't not change,
work done stays constant

in order to to increase the power of the motor, time would have to be decreased to get the wanted result..

When he  increases the input power to the motor and repeats the experiment, work done stays the same but time taken decreases.

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft.

To lift a load through a vertical distance of 2.0m, in the both cases same amount of work-done happens because the displacement is same.

But as the input power, in second case, increases but the efficiency of the motor does not change, the time taken decreases ( as time taken = work done/power)

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Answer:

Given

mass (m) =2kg

velocity (v) =3m/s

momentum (p) =?

Form

p=mv

2kgx3m/s

p=6kg.m/s

the momentum of ball's =6kg.m/s

The momentum of a ball having a mass of 2 kg and velocity of 3 m/s is  6 kgm/s.

The product of a particle's mass and velocity is momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.

According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.

Given:

The mass of the ball, m = 2 kg,

The velocity of the ball, v = 3 m/s,

Calculate the momentum by using the formula given below,

p = m × v

Here, p is the momentum.

Substitute the values,

p = 2 × 3

p = 6 kgm/s

Therefore, the momentum of a ball having a mass of 2 kg and velocity of 3 m/s is 6 kgm/s.

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Answer:

A. overweight

Explanation:

Answer:

c

Explanation:

since of his lack of growing his body dont know what to do with the needed fat so while he's still growing its in his tummy waiting

Answer:

75 N

Explanation:

W = 600 J

x = 8 m

Plug those values into the following equation:

W = Fx

600 J = F(8m)

F = 75 N

Answer:

h = 20 m

Explanation:

Given that,

Force to lift a firefighter's equipment, F = 270 N

Work done, W = 5400 J

We need to find the height climbed by the firefighter. We know that,

Work done, W = Fd

So,

\(d=\dfrac{W}{F}\\\\d=\dfrac{5400}{270}\\\\d=20\ m\)

So, the firefighter climb from a height of 20 m.

Answer:

Its A

Explanation: I got it right on Edge *lip bite*

The velocity of the center of mass is zero, indicating that the center of mass is at rest.

If v1x and v2x have equal magnitudes but opposite directions, then their vector sum is zero:

v1x + v2x = 0

This means that the net momentum in the x-direction is also zero, since momentum is defined as mass times velocity:

p = mv

p1x + p2x = m1v1x + m2v2x = 0

where m1 and m2 are the masses of the two objects.

Since the total momentum in the x-direction is zero, the velocity of the center of mass is also zero:

vcm = (m1v1 + m2v2) / (m1 + m2)

Since v1x and v2x have equal magnitudes but opposite directions, their contributions to the x-component of the velocity of the center of mass cancel out:

vcm,x = (m1v1x + m2v2x) / (m1 + m2) = 0

Therefore, the velocity of the center of mass is zero, indicating that the center of mass is at rest.

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Electrical current from a 9 volt battery is not a type of electromagnetic radiation.

The following list is correctly ordered from shortest to longest wavelength:

gamma rays, UV, radio waves, IR.

The statement "The bright red emission line for hydrogen ( H-alpha line), results from the drop (transition) of its electron from the n = 3 to n = 2 level" is True. Electromagnetic radiation consists of oscillating electric and magnetic fields that travel through space at the speed of light. It includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

Electrical current from a 9 volt battery is not a type of electromagnetic radiation. It is a flow of electric charge, which is not an oscillating electric and magnetic field.

The following list is correctly ordered from shortest to longest wavelength: gamma rays, UV, radio waves, IR. Gamma rays have the shortest wavelength, followed by UV, radio waves, and then IR.

The statement "The bright red emission line for hydrogen ( H-alpha line), results from the drop (transition) of its electron from the n = 3 to n = 2 level" is True. When the electron of a hydrogen atom drops from a higher energy level to a lower energy level, it emits a photon of light.

The energy of the photon depends on the difference in energy between the two levels. The H-alpha line is a specific emission line that results from the transition of an electron from the n = 3 to n = 2 energy level.

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The acceleration of gravity is a constant equal to 9.8 meters per second squared. Acceleration is the alteration in the velocity of an object. In other words, the speed of an object changes as it accelerates. According to Newton's second law of motion, the force applied to an object determines its acceleration.

The force applied to an object is directly proportional to its mass, while the acceleration is inversely proportional to it. F=ma is the equation that represents this relationship. A constant value, which is 9.8 m/s², is assigned to the acceleration due to gravity. The acceleration of an object in freefall is known as the acceleration due to gravity. The velocity of an object increases at a rate of 9.8 m/s each second it is in freefall.The gravitational force of the Earth pulls all things toward the ground. This force is referred to as gravity. It's what makes things feel heavy. As a result of this force, all objects in freefall fall toward the ground at a constant acceleration of 9.8 m/s². This means that for every second an object is in freefall, its speed increases by 9.8 meters per second. The acceleration of gravity is a constant equal to 9.8 meters per second squared. It is the rate at which an object falls towards the ground due to the force of gravity. The acceleration of gravity refers to the acceleration experienced by an object when it is allowed to fall freely due to the force of gravity. The acceleration due to gravity is approximately 9.8 meters per second squared near the surface of the Earth. This means that for every second an object falls, its speed increases by 9.8 meters per second. The acceleration of gravity is a constant, which means it is always the same and does not change. The acceleration due to gravity is used in many physics calculations. It is an essential concept in the study of mechanics and helps to explain the motion of objects in freefall. The acceleration due to gravity is also important for space exploration, as it determines the trajectory of objects launched from Earth.

The acceleration of gravity is a constant equal to 9.8 meters per second squared. It is the acceleration experienced by an object when it falls freely due to the force of gravity. This acceleration is a fundamental concept in physics and is used in many calculations involving the motion of objects. The acceleration due to gravity is also essential for space exploration and helps to determine the trajectory of objects launched from Earth.

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The negation of each of the propositions are as follows:

a) Mei does not have an MP3 player.

b) There is pollution in New Jersey.

c) 2 + 1 ≠ 3

d) The summer in Maine is not hot or sunny. (Also, "The summer in Maine is either not hot or not sunny" could also be used to give the same meaning.)

"Negation" is the process of determining the exact opposite of a given assertion. A statement is, in general, an entire idea that is not an exclamation, a question, or an order.

Only assertions that are either consistently true or consistently false are acceptable. Finding the reverse of a mathematical statement is sometimes necessary in mathematics. In logic, negating a proposition involves expressing its opposite or denying its truth.

The negation of a statement typically involves adding the word "not" or using other expressions that convey negation, such as "does not," "is not," or symbols like "≠" for "not equal to." It is important to accurately capture the intended meaning of the original proposition while negating it.

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A diverging lens has a focal length of magnitude 21.8 cm and the images are located behind the lens.

(a) u = -10.9 cm

1/v= 1/10.9 - 1/21.9

v= 21.8cm

Behind the lens.

(b) 1. Virtual

    2. Virtual

    3. Real

(c) m = v/u

 1. Erect/ Upright

2. Upright

3. Inverted

(d) m = v/u

1. m = -43.6/-43.6 = 1.  Magnification = 1.

2. infinity.

 3. m = 21.8 / -10.9 = -2. Magnification = -2.

Therefore, these are the answers for above given question.

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i think it goes fall the down winter and then the other seasons

On a cold windy day when the outside air temperature is 10oC and the wind chill factor is -10oC, you feel colder than 10oC because of (c) convection.

Convection is the heat transfer that occurs between a surface and a moving fluid when the two are at different temperatures. When the air temperature is 10oC and the wind chill factor is -10oC, the wind blows cold air over your skin, removing the layer of heat that surrounds your body and making you feel colder than the actual temperature.The high specific heat of air, radiation, and conduction are not the reasons why you feel colder than 10oC. The specific heat of air refers to the amount of energy required to raise the temperature of air by one degree Celsius. Radiation is the transfer of heat through electromagnetic waves, and conduction is the transfer of heat through direct contact. These methods are not relevant in explaining why you feel colder than 10oC in this scenario.

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Answer:

Nervous system messages travel through neurons as electrical signals. When these signals reach the end of a neuron, they stimulate the release of chemicals called neurotransmitters. Neurotransmitters travel across synapses, spaces between neurons or between neurons and other body tissues and cells.

Explanation:

Answer:

θ = 41.8º

Explanation:

This is an internal total reflection exercise, the equation that describes this process is

         sin θ = n₂ / n₁

where n₂ is the index of the incident medium and n₁ the other medium must be met n₁> n₂

        θ = sin⁻¹ n₂ / n₁

let's calculate

       θ = sin⁻¹ (1.00 / 1.50)

       θ = 41.8º

Answer:

B: Carbon (C)

Explanation:

Carbon is the only nonmetal there and covalent bonds happen between two nonmetal atoms.

5,28 ft is the distance from the base of the cliff to the point on the ground.

This question is incomplete, it should be:

Height of the cliff = 462 ft

Angle of depression = 5°

Determine the angle of the base first,

Use the hypotenuse side:

90° - 5° = 85°

Hence, the angle of depression form the top of the cliff = 5°

So, the distance from the base of the cliff to the point on the ground:

tan α = opposite / adjacent

tan 85° = h/462

h = 462 × tan 85°

= 462 x 11.43

h ≈  5,28 ft

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The critical angle of the transparent material is 35.3 degrees.

The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:

sin(critical angle) = sin(90 degrees) / sin(angle of refraction)

sin(critical angle) = 1 / sin(32 degrees)

sin(critical angle) = 0.574

critical angle = arcsin(0.574)

critical angle = 35.3 degrees

Therefore, the critical angle of the transparent material is 35.3 degrees.

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Answer:

the number of protons in the nucleus of the atom is equal to the atomic number Z. The number of electrons in a neutral atom is equal to the number of protons.

hope this helps :)

Answer:

B

Explanation:

Gravitational Energy is the energy of position or place. A rock resting at the top of a hill contains gravitational Potential energy. Hydropower, such as water in a reservoir behind a dam, is an example of gravitational potential energy.