A 5.1 g experimental dart is fired into a block
of wood with a mass of 27.5 g. The wood
block is initially at rest on a 2.4 m tall post.
After the collision, the wood block and dart
land 2.1 m from the base of the post.
Find the initial speed of the dart.
Answer in units of m/s.

PLSSSS NEED URGENT

Using waves of frequency and pich

Explanation:

There's always been water around us

When a ray of light strikes a plane mirror, the angle of reflection is equal to the angle of incidence.

In this case, the ray of light makes an angle of 35 degrees with the plane mirror. Therefore, the angle of reflection will also be 35 degrees. To understand why this happens, we need to consider the properties of reflection. When light interacts with a smooth surface like a mirror, it follows the law of reflection.

According to this law, the incident ray, the reflected ray, and the normal (a line perpendicular to the mirror's surface) all lie in the same plane. The angle of incidence is the angle between the incident ray and the normal, measured on the side of the normal where the light is coming from. In this case, the angle of incidence is 35 degrees.

According to the law of reflection, the angle of reflection is the angle between the reflected ray and the normal, also measured on the side of the normal where the light is coming from. Since the incident and reflected rays are on opposite sides of the normal, the angle of reflection is also 35 degrees.

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An atom is considered neutral when it has an equal number of protons (positively charged) and electrons (negatively charged).

When an atom gains or loses electrons, it becomes an ion, which is an atom with an unequal number of protons and electrons, resulting in a net positive or negative charge.

If an atom gains electrons, it becomes an anion with a negative charge. If an atom loses electrons, it becomes a cation with a positive charge.

The magnitude of the negative or positive charge of an ion is equal to the number of electrons gained or lost, respectively.

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By using the following standard normal density curve, 0.9832 i.e. option (A) is the probability that a random variable zz less than 2.122.12.

The probability that a random variable z is less than 2.12 using a standard normal density curve, you need to find the area under the curve to the left of 2.12. A standard normal density curve is a bell-shaped curve that is symmetrical about the mean (which is 0 for a standard normal curve). The curve is defined by the equation:

= f(z)

= 1/(sqrt(2π)) x e^(-z^2/2)

where z is the random variable and f(z) is the probability density function.

The area under the curve to the left of 2.12 is the sum of the probabilities of all the values of z that are less than 2.12. This area can be approximated using the standard normal table, which gives the probability of values of z corresponding to certain standard deviations from the mean. Looking up the value of 2.12 in the standard normal table, you will find that it corresponds to a probability of approximately 0.9832. Therefore, the probability that a random variable z is less than 2.12 is approximately 0.9832, and the correct answer is "0.9832".

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D. As the Sun was forming, the force of gravity caused surrounding dust grains to collide and stick together, forming dust granules into increasingly larger bodies that became planets.

About 4.6 billion years ago, the Solar System was a cloud of dust and gas known as the Solar Nebula.  

Gravity is the force that pulls a body toward the center of the Earth or any other physical body that has mass.

Therefore "As the Sun was forming, the force of gravity caused surrounding dust grains to collide and stick together, forming dust granules into increasingly larger bodies that became planets", best describes scientists explain gravity's role in the formation of our Solar System.

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To solve this problem, we can use the principles of Newton's laws of motion and the conservation of energy.

At the moment of release, the second block will start to accelerate downwards due to gravity, and the first block will start to move to the right due to the tension in the rope. Since the surface is frictionless, there is no horizontal force acting on the first block once it starts moving.

Using the free-body diagrams for the two blocks, we can write the following equations of motion:

For the second block:

m2g - T = m2a

where g is the acceleration due to gravity, T is the tension in the rope, a is the acceleration of the second block, and m2 is the mass of the second block.

For the first block:

T = m1a

where m1 is the mass of the first block and a is its acceleration.

Since the two blocks are connected by a rope, they must have the same acceleration, so we can set the two equations for acceleration equal to each other:

m2g - T = m1a

T = m1a

m2g - m1a = T = m1a

Solving for a, we get:

a = (m2/m1 + m2)g

We can also use the conservation of energy to find the final velocity of the first block after 1.2 seconds. At the moment of release, the total mechanical energy of the system is given by:

E = m1gh

where h is the initial height of the second block. As the blocks move, the potential energy of the second block is converted into the kinetic energy of both blocks. At the end of the 1.2 seconds, all of the potential energy will be converted into kinetic energy, so we can write:

E = (1/2)m1v^2 + (1/2)m2v^2

where v is the final velocity of the first block.

Solving for v, we get:

v = sqrt(2gh(m1+m2)/m1)

Plugging in the given values, we get:

a = (2/5)g ≈ 3.92 m/s^2

v = sqrt(2gh(m1+m2)/m1) ≈ 2.36 m/s

Therefore, the displacement of the velocity of the first block 1.2 s after the release of the blocks is approximate:

vt + (1/2)at^2 = 2.361.2 + (1/2)3.92(1.2)^2 ≈ 5.52 m/s

So the answer is not given in the options.

Answer:

Eubacteria Kingdom :)

Explanation:

Answer: eubacteria

Explanation:

Answer:

The bag of sand

Explanation:

I think it is the bag of sand because according to the definition of impulse, impulse is the average force acting on a particule when an external force is being acted on it.

Answer:

Atoms in a solid are close and tightly packed.They vibrate about fixed positions .They are arranged in a regular LATTICE.They cannot be compressed nor can they change shape.They have strong forces of attraction between them so they cannot move in order to move they have to gain ENERGY. Whereas the atoms in a liquid are not that close compared to the ones in solid.They take the shape of the container but their volume remains fixed.They have weak forces of attraction between atoms and have more energy which enables them to move.

Explanation:

The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

option D.

The Falcon 9 rocket, is developed by SpaceX, and it holds  a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;

From the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

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The PVC pipe should be cut to a length of 32.6 centimeters to produce a C5 note.

Pitch refers to the perceived highness or lowness of a sound, which is determined by its frequency. A higher frequency corresponds to a higher pitch, while a lower frequency corresponds to a lower pitch.

To determine the length of a flute made from PVC pipe that produces a desired pitch, we can use the formula:

L = (v/2f) * n

where L is the length of the pipe, v is the velocity of sound in air, f is the frequency of the desired pitch, and n is the number of open and closed nodes in the standing wave produced by the pipe.

For a pipe that is open on both ends (like a flute), n = 2. The velocity of sound in air is approximately 343 meters per second at room temperature.

To convert the desired frequency of C5 (523.25 Hz) to meters per second, we can use the formula:

v = f * λ

where λ is the wavelength of the sound wave. For C5, λ is approximately 0.65 meters (since the speed of sound in air is about 343 m/s, and the wavelength of C5 is 343 m/s divided by 523.25 Hz).

So, we can calculate the length of the PVC pipe needed for C5 as:

L = (v/2f) * n = (343/2*523.25) * 2 * 0.65 = 0.326 meters or 32.6 centimeters

Therefore, To create a C5 note, the PVC tubing should be cut to a length of about 32.6 centimeters.

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Answer: Hope this helps ;) don't forget to rate this answer !

Explanation:

There are two correct answers:

A) A corporation leader makes direct payment to the candidate.

D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.

Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.

Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.

I hope this helps! Let me know if you have any other questions.

A 1 m-high table drops an object with a mass of 1 kg. This acceleration vector is identical at 50 cm and 80 cm distant the table if you depict the motion by sketching the object's velocities and accelerations vectors.

A vector quantity with direction is velocity. The velocity vector's direction is always parallel to the object's motion. Acceleration direction: The vector quantity of acceleration has a direction.

This acceleration vector, which represents the instantaneous acceleration, may be found by taking the velocity function's derivative with respect to time, as we saw in the previous chapter. The fact that they are essentially vector quantities is the only variation in either two or three dimensions.

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part a.  the wavelength of this wave  is 26 cm

part b. The amplitude (A) of a wave is 9 cm

The wavelength (λ) of a wave is described as the distance between two consecutive points on the wave that are in phase.

In this scenario, the distance between two corresponding points on the wave will be equal to the horizontal distance from crest to trough, which is 26 cm.

Hence, the wavelength of the wave is: λ = 26 cm

The amplitude (A) of a wave is described as the maximum displacement of a particle from its rest position as the wave passes through it.

In this scenario, the vertical distance from crest to trough is 18 cm, which is equal to twice the amplitude.

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Answer:

Southward

Explanation:

I'm going to assume that if it moves in a straight line, it has to either move in one of two directions. In this case, either northward or southward.

If any object moves in a straight line in the direction of the north, then the only other direction it can move is the south direction.

Given that linear motion, often referred to as rectilinear motion, includes movement in one dimension along a straight line, it is possible to mathematically characterize it using only that one spatial dimension.

There are two different types of linear motion: non-uniform linear motion with variable velocity or non-zero acceleration. Uniform linear motion has a constant velocity or zero acceleration. A particle's (a point-like object's) motion down a line can be explained by its position, x, which changes with time (t) (time). An athlete running 100 meters down a straight track is an illustration of linear motion.

If anything is moving in a linear motion in forward direction, then the only other direction it can move is backward but in the same opposite side.

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Answer:

Explanation:

Slope is rise over run and, consequently, it is also the tangent ratio. the side measuring 2 is the height of the right triangle that is formed by the inclined plane (the hypotenuse), the height, and the base (the ground or surface that the plane is sitting on). If we use the tangent ratio,

\(tan\theta=\frac{2}{6}=\frac{1}{3}\) so

\(tan^{-1}(\frac{1}{3})=\theta\) so

θ = 18.4 which is also the angle that makes that slope.

The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.

Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.

Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.

Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.

We can use the formula for fringe width in Young's double-slit experiment:

w = (λ * D) / d

Where:

w is the fringe width,

λ is the wavelength of light,

D is the distance between the screen and the double slits, and

d is the distance between the two slits.

Let's calculate the value of D/d using the given information:

D/d = w / λ

= 0.006 m / 4500 Å (1 m = 10^10 Å)

= 0.006 * 10^10 / 4500 m^-1

Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:

(D'/d) = (0.006/2) * 10^10 / 4500 m^-1

Now, we can rearrange the equation to solve for the new wavelength (λ'):

(λ' * D') / d = (D/d)

λ' = (D/d) * d / D

= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å

= 0.0045 m * 10^10 / 2 Å

= \(0.00225 * 10^{10\) Å

=\(2.25 * 10^7\)Å

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Answer:

A. True

B. False

C. False

D. False

Answer:

A

Explanation:

protons and electrons are far apart with lots of empty space in between.

The current flowing through the 1Ω resistor in the circuit is 0.66 A.

The emf of the cells, V = 1.1 V

Internal resistance of the cells, r = Ω

Resistance across the circuit, R = 1 Ω

According to Kirchhoff's current law, the total current flowing into and out of a junction in an electrical circuit is equal.

According to Kirchoff's current law,

(1.1 - V'/2) + (1.1 - V'/2) + (1.1 - V'/2) = V'/1

3/2(1.1 - V') = V'

3.3 - 3V' = 2V'

5V' = 3.3

Therefore, the terminal velocity of the battery is,

V' = 3.3/5

V' = 0.66 V

Therefore, according to Ohm's law, the current flowing through the 1Ω resistor is given by,

I = V'/R

I = 0.66/1

I = 0.66 A

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Answer:

Joules.

Explanation:

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

\( K.E = \frac{1}{2}MV^{2}\)

Where;

Kinetic energy is a form of energy and is always measured in Joules.

Hence, the S.I unit in which K.E is often measured is the Joules.

Answer:

The answer will be A. Wedge

Explanation:

Answer: The scenario violates the second law of thermodynamics.

Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.

The force that results in the decrease in speed from the midpoint to the end of the track is friction. The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.

The force that would cause the Hot Wheels car to slow down from the midpoint of the track to the end of the track is friction between the car's wheels and the track.

Friction is a force that opposes motion between two surfaces in contact.

In this case, the wheels of the car and the surface of the track are in contact, and the friction force acts in the opposite direction of the car's motion, which slows it down.

As the Hot Wheels car travels down Track #2 during the Speed Lab activity, its initial velocity decreases due to friction.

Friction is a resistance force that opposes motion.

It is caused by the interaction between the surfaces in contact. In this case, the surface of the track and the wheels of the car are in contact.

When the car is moving, there is friction between the two surfaces.

The direction of the friction force is opposite to the direction of motion of the car.

This means that the friction force slows the car down.

In conclusion, the force that results in the decrease in speed from the midpoint to the end of the track is friction.

The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.

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Answer:

12 cm * 10^4 km / cm = 1.2 * 10^5 km

Published diameter of Saturn = 1.206 * 10^5 km  

A student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km). In this model, then the planet which have a diameter of approximately 12 centimeters would be Saturn, therefore the correct answer is option C.

It is defined as the multiplication factor used for the design of an object with respect to some other object. the scale is generally used to design prototype designs of large objects. It is also used in interior design planning rooms.

It is multiplied by the design dimension to get the actual size of the object or product.

As given in the problem a student creates a scale model of planets where 1 centimeter (cm) is equal to 10,000 kilometers (km).

1 centimeter = 10,000 kilometers

12 centimeter = 1.2 ×10⁵ kilometers

Saturn has an approximate diameter of  1.2 ×10⁵ kilometers.

Thus, the correct answer is option C.

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The work done by the electric force is 2.2 x 10⁻⁶ J.

The speed of the particle is calculated as follows;

Fd = K.E

where;

The produce of electric force and the displacement of the particle is equal to work to done on the particle by the electric force.

Also, based on the principle of conservation of energy, the work done done by the electric force is equal to the kinetic energy of the particle.

Thus, the work done by the electric force is 2.2 x 10⁻⁶ J.

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Answer:

Explanation:

The force experienced by the moving electron in the magnetic field is expressed as F = qvBsinθ where;

q is the charge on the electron

v is the velocity of the electron

B is the magnetic field strength

θ is the angle that the velocity of the electron make with the magnetic field.

Given parameters

F =  1.40*10⁻¹⁶ N

q = 1.6*10⁻¹⁹C

v = 3.94*10³m/s

B = 1.23T

Required

Angle that the velocity of the electron make with the magnetic field

Substituting the given parameters into the formula:

1.40*10⁻¹⁶ =  1.6*10⁻¹⁹ * 3.94*10³ * 1.23 * sinθ

1.40*10⁻¹⁶ = 7.75392 * 10⁻¹⁹⁺³sinθ

1.40*10⁻¹⁶ = 7.75392 * 10⁻¹⁶sinθ

sinθ = 1.40*10⁻¹⁶/7.75392 * 10⁻¹⁶

sinθ = 1.40/7.75392

sinθ = 0.1806

θ = sin⁻¹0.1806

θ₁ = 10.4⁰

Since sinθ is positive in the 1st and 2nd quadrant, θ₂ = 180-θ₁

θ₂ = 180-10.4

θ₂ = 169.6⁰

Hence, the angle that the velocity of the electron make with the magnetic field are 10.4⁰ and 169.6⁰

Answer:

Explanation:

Ask a question that can be answered by making observations.

Answer: (APE X) Determine whether experimental observations can provide evidence to support a conclusion

Explanation:

The kinetic energy of the flywheel after 1 minute of rotation, given that it has a mass of 50 and radius of 40 cm is 32.4 KJ (Option D)

We'll begin by obtaining the velocity of the flywheel. This is shown below:

v = at

v = 0.6 × 60

v = 36 m/s

Finally, we shall determine the kinetic energy of the flywheel. Details below:

KE = ½mv²

KE = ½ × 50 × 36²

KE = 25 × 1296

KE = 32400 J

Divide by 1000 to express in KJ

KE = 32400 / 1000

KE = 32.4 KJ

Thus, the kinetic energy is 32.4 KJ (Option D)

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Answer:

1.25 m

Explanation:

Constant Acceleration Equations (SUVAT)

\(\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}\)

When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

Consider the horizontal and vertical motion of the ball separately.

As the ball rolls off the table with a horizontal velocity only, the vertical component of its initial velocity is zero.

Acceleration due to gravity = 10 ms⁻²

As we need to find the vertical displacement of the ball, resolve vertically, taking ↓ as positive:

\(u=0 \quad a=10 \quad t=0.5\)

\(\begin{aligned}\textsf{Using} \quad s&=ut+\dfrac{1}{2}at^2\\\\s&=(0)(0.5)+\dfrac{1}{2}(10)(0.5)^2\\s&=0+\dfrac{1}{2}(10)(0.25)\\s&=(5)(0.25)\\ \implies s&=1.25 \; \sf m\end{aligned}\)

Therefore, the vertical displacement of the ball is 1.25 m, and so the table is 1.25 m above the floor.

Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kPa or 1 atm and serves as a reference point for scientific measurements and comparisons related to atmospheric pressure.

Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kilopascals (kPa) or 1 atmosphere (atm). This pressure is used as a reference point for various scientific measurements and is crucial in fields such as meteorology, physics, and engineering.

Atmospheric pressure is caused by the weight of the air above a given point on the Earth's surface. The air is composed of molecules, mainly nitrogen (approximately 78%) and oxygen (approximately 21%), along with other trace gases. These molecules are in constant motion and exert a force on the surfaces they come into contact with, including the Earth's surface.

The standard atmospheric pressure of 101.325 kPa is equivalent to the pressure exerted by a column of mercury 760 millimeters (mm) in height in a barometer at sea level. This measurement was established as a reference point for atmospheric pressure, providing a consistent value for scientific calculations and comparisons.

It is important to note that atmospheric pressure can vary with altitude and weather conditions. As altitude increases, the atmospheric pressure decreases because the column of air above becomes thinner. In areas of high or low pressure systems associated with weather patterns, the atmospheric pressure deviates from the standard value.

The standard atmospheric pressure is a valuable reference in many applications. For instance, it is used as a standard for measuring gas pressure in laboratories and industrial processes. It is also used in meteorology to calculate and compare pressure systems and to study atmospheric phenomena such as wind patterns and weather changes.

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Final Answer:

If there is lower air pressure being "pushed" onto the surface of the water, then the water molecules do not need as much energy to overcome the force of atmospheric pressure pushing on the surface, and they can more easily escape and become a vapor. When the vapor pressure of the liquid is equal to the air pressure surrounding the liquid, it will boil. If you lower the air pressure, you will lower the temperature that water will boil at.

Explanation:

The boiling point of a liquid depends on the balance between the vapor pressure of the liquid and the external pressure, which is typically atmospheric pressure. When the external pressure is reduced, such as at higher altitudes or in a vacuum, the liquid molecules require less energy to escape the surface and become vapor. This is because there is less force pushing down on the liquid's surface, allowing for easier vaporization.

At lower air pressure, the water molecules can overcome the diminished force of atmospheric pressure more readily, requiring less heat energy to transition from liquid to vapor. When the vapor pressure of the liquid equals the surrounding air pressure, the liquid will start to boil.

Boiling point and vapor pressure are fundamental concepts in thermodynamics and phase transitions. Understanding how pressure affects the boiling point of liquids is crucial in various scientific and engineering applications, such as cooking, chemical processes, and high-altitude cooking.

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