Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a safety belt can withstand an acceleration of 300 m/s/s. How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

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The quarterback is getting hit with a force of 100 Newtons.

We can use Newton's second law of motion:

Force = Mass * Acceleration

Given that the mass of the defensive lineman is 100 kg and the acceleration is 1 m/s², we can substitute these values into the equation:

Force = 100 kg * 1 m/s²

Force = 100 N

Therefore, the quarterback is getting hit with a force of 100 Newtons.

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Answer:

Calcium is an essential mineral that is important in the diet of many living things as it plays several important roles in the body:

1. Bone and teeth formation: Calcium is a key component of bones and teeth, making them strong and healthy.

2. Muscle function: Calcium plays a critical role in muscle contraction and relaxation, helping muscles function properly.

3. Nerve function: Calcium is involved in the transmission of nerve impulses, which allows for proper communication between nerve cells.

4. Blood clotting: Calcium is required for blood clotting, which is important for preventing excessive bleeding after an injury.

5. Cellular signaling: Calcium is involved in many cellular signaling pathways, helping to regulate various physiological processes in the body.

Therefore, having an adequate amount of calcium in the diet is crucial for the overall health and well-being of many living organisms.

To solve this problem, we need to determine the frictional force acting on the block with different magnitudes of the applied force.

First, we need to find the normal force on the block, which is equal to the weight of the block. The weight of the block is given by:

W = mg = 2.5 kg x 9.8 m/s^2 = 24.5 N

Next, we need to find the force of the applied vertical force, which is given in the problem as "is". We can use trigonometry to find the vertical component of the force:

Fv = is sinθ

where θ is the angle between the force and the horizontal surface. Since the problem does not give us the value of θ, we will assume it to be 0°, which means the force is purely horizontal.

(a) If the magnitude of the applied force is 8.0 N, then the frictional force can be calculated as:

Ff = μsFn = μs(mg - Fv) = 0.40(24.5 - 0) = 9.8 N

(b) If the magnitude of the applied force is 10 N, then the frictional force can be calculated as:

Ff = μsFn = μs(mg - Fv) = 0.40(24.5 - 10) = 5.8 N

(c) If the magnitude of the applied force is 12 N, then the frictional force can be calculated as:

Ff = μkFn = μk(mg - Fv) = 0.25(24.5 - 12) = 3.1 N

Therefore, the magnitude of the frictional force acting on the block is 9.8 N, 5.8 N, and 3.1 N, for applied forces of 8.0 N, 10 N, and 12 N, respectively.

(a) When the horizontal force is 8 N the frictional force is 11.8 N.

(b) when the applied force is 10 N; the frictional force is 13.8 N.

(c) when the applied force is 12 N; the frictional force is 15.8 N.

(a) The magnitude of the frictional force on the block when the horizontal force is 8 N is calculated as;

F - Ff = ma

where;

F - μmg = ma

6 - 0.4 x 2.5 x 9.8 = 2.5 a

2.5 a = -3.8

a = -3.8/2.5

a = -1.52 m/s²

when the applied force is 8 N;

8 N - Ff = -1.52 m/s² x 2.5 kg

Ff = 11.8 N

(b) when the applied force is 10 N;

10 N - Ff = -1.52 m/s² x 2.5 kg

Ff = 13.8 N

(c) when the applied force is 12 N;

12 N - Ff = -1.52 m/s² x 2.5 kg

Ff = 15.8 N

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The magnitude of the force on the tooth is approximately 0.022 N.

To find the magnitude and direction of the force on the tooth, we can use Hooke's Law, which states that the force exerted on an object is directly proportional to the change in length of a material when it is stretched or compressed.

First, we need to calculate the strain (ε) of the stainless-steel wire.

Strain is defined as the change in length divided by the original length:

ε = ΔL / L₀

Given that the change in length (ΔL) is 0.10 mm \((0.10 \times 10^{-3} m)\) and the unstretched length (L₀) is 3.1 cm \((3.1 \times 10^{-2} m)\), we can calculate the strain:

\(\epsilon=(0.10 \times 10^{-3} m)/(3.1 \times 10^{-2} m)=0.003225\)

Next, we can use Young's modulus (E) to calculate the stress (σ) in the wire.

Stress is defined as the force per unit area:

σ = E * ε

Given that Young's modulus (E) for stainless-steel is 18 × 10¹⁰ N/m², we can calculate the stress:

σ = (18 × 10¹⁰ N/m²) * 0.003225 = 5.805 × 10⁸ N/m²

Now, we can find the force (F) on the tooth by multiplying the stress by the cross-sectional area (A) of the wire:

F = σ * A

The cross-sectional area (A) can be calculated using the formula for the area of a circle:

A = π * (d/2)²

Given that the diameter (d) of the wire is 0.22 mm\((0.22 \times 10^{-3} m)\), we can calculate the cross-sectional area:

\(A = \pi * (0.22 \times 10^-3 m / 2)^{2} = 3.802 \times 10^{-8} m^2\)

Finally, we can calculate the force:

\(F = (5.805 \times 10^{8} N/m^{2}) * (3.802 \times 10^-8 m^{2}) \approx 2.206 \times 10^{-2} N\)

Therefore, the magnitude of the force on the tooth is approximately 0.022 N.

Since the wire is stretched, the force is pulling the tooth in the direction opposite to the stretching.

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Answer:

To solve this problem, you'll need to break the initial velocity of the seed into its horizontal and vertical components, then use the equations of motion to find the time of flight and horizontal distance.

The initial velocity (v) of the seed is 2.65 m/s. The angle it's launched at (θ) is 30.0 degrees below the horizontal. The height (h) it's launched from is 0.460 m.

First, calculate the horizontal (v_x) and vertical (v_y) components of the velocity. Because the seed is launched downward, the vertical component will be negative:

v_x = v * cos(θ) = 2.65 m/s * cos(30.0) = 2.29 m/s

v_y = v * sin(θ) = -2.65 m/s * sin(30.0) = -1.325 m/s

Next, use the equation of motion to find the time it takes for the seed to hit the ground:

h = v_y * t + 0.5 * g * t^2

Where g is the acceleration due to gravity, which is approximately 9.8 m/s². Solving the equation for t gives:

t = (-v_y - sqrt((v_y)^2 - 4 * 0.5 * g * (-h))) / (2 * 0.5 * g)

Plugging in the values:

t = (1.325 + sqrt((-1.325)^2 - 4 * 0.5 * 9.8 * (-0.460))) / (2 * 0.5 * 9.8)

t = 0.182 seconds

Finally, use the horizontal velocity and time of flight to find the horizontal distance the seed covers:

x = v_x * t = 2.29 m/s * 0.182 s = 0.417 m

So, the seed lands after approximately 0.182 seconds and travels approximately 0.417 meters horizontally.

Answer: A solar eclipse occurs when the moon passes in between the Earth and sun, casting a shadow down on the surface of our planet. If you're in the path of the shadow, the moon destroys the sun. No, wait, I mean the moon blocks the sun briefly.A lunar eclipse happens when the moon passes through the Earth's shadow. We see one limb of the moon darken until the entire thing is in shadow.An eclipse does not occur every month, because one month after an eclipse the relative geometry of the Sun, Moon, and Earth has changed. As seen from the Earth, the time it takes for the Moon to return to a node, the draconic month, is less than the time it takes for the Moon to return to the same ecliptic longitude as the Sun.

Explanation:

Answer:

Because the moon's orbit wobbles up and down with respect to the Earth, the satellite's shadow can be too high or too low to cause a solar eclipse. If the moon partially covers the sun for a given location, that area experiences a partial solar eclipse. But if the moon fully covers the sun, it will cause either a total solar eclipse or an annular solar eclipse; that's when a bright ring of light is still visible in the sky around the dark silhouette of the moon.

Answer:A i think or D but its not c or b

Explanation:

The diver was running in the horizontal direction. This means that the velocity, 3.6m/s is in the horizontal direction. This is known as Vx. The speed in the vertical direction, Vy is 0. The diagram representing the scenario is shown below

From the diagram, h represents the height of the cliff. We would find the height by applying the formula,

dy = vyot + 1/2ayt^2

dy is the displacement in the vertical direction and it is same as h

vyo is the velocity in the vertical direction and it is zero

a is the acceleration due to gravity

t is the time taken to to reach the height, h

From the information given, vyo = 0, t = 2.5, a = 9.8

By substituting these values, we have

dy = h = 0 * 2.5 + 1/2 x 9.8 x 2.5^2

h = 1/2 x 9.8 x 2.5^2

h = 30.63

The height of the cliff is 30.63 m

Answer: Natural science can be divided into two main branches

Explanation:

life science and physical science. Life science is alternatively known as biology, and physical science is subdivided into branches: physics, chemistry, astronomy and Earth science.

Answer:

potential energy

Explanation:

Based on energy transformation

Answer:

(a) 441 W (b) 0.59 hP

Explanation:

Given that,

Mass of a woman, m = 60 kg

Height of a staircase, h = 15 m

Time, t = 20 s

(a) We need to find the power she expend. Work done per unit time is called power. It is given by :

\(P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{60\times 9.8\times 15}{20}\\\\P=441\ W\)

( b) Since, 1 hP = 745.7 W

P = 0.59 hP

Answer:

a. As the ball moves upward, is the net force that acts on the ball greater than, less than, or equal to its weight?

1. The net force will be greater than the weight of the ball.

b. Repeat part (a) for the downward motion of the ball.

3. net force will be equal to the weight of the ball

Explanation:

Air is a mixture

Water  and Saccharose are compounds.

Copper, Nitrogen,  and sulfur are elements.

A mixture is a combination of two or more substances, where each substance retains its chemical properties and can be separated from the mixture by physical means.

Mixtures can be either homogeneous, where the composition is uniform throughout, or heterogeneous, where the composition is non-uniform. Examples of mixtures include;

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This is defined as the rate of change of position of an object with respect to time. The unit is metres per second(m/s).

Velocity = distance/ time

The velocity for column 1 = 500m/7.4s = 67.57m/s.

The velocity for column 2  = 500m/6.4s = 78.13m/s.

The velocity for column 3  = 500m/5.6s = 89.29m/s.

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Answer:

67.6

78.1

89.3

Explanation:

Answer:

Explanation:

Their most intimate experience probably happened during an unsuccessful peace mission in September 1776. The British forces had recently raced across Long Island (New York) and almost destroyed the American Army. The British commander, Adm. Lord Richard Howe, then offered peace. Congress sent Adams, Franklin, and Edward Rutledge (South Carolina) to meet Howe on Staten Island.

Howe hoped to resolve the differences between what Great Britain still considered its colonies and the mother country. The Americans insisted on British recognition of independence, but Howe had no such authority, and Adams and Franklin had little of their own. Although cordial, the meeting broke up without success after just three hours.

During the mission, Adams and Franklin lodged together at crowded inn in a small room with only one window. Adams records an unforgettable and amusing story in his diary about that evening and hearing Franklin’s theory of colds.

Answer:

a. If the frequency of light is increased above the threshold frequency, the energy of the electrons emitted will increase.

b. If the frequency of light is decreased to below the threshold frequency, the rate at which electrons are emitted will decrease.

c. If the intensity of light is decreased, the energy of the electrons emitted will remain the same, but fewer electrons will be emitted.

d. If the intensity of light is decreased, the rate at which electrons are emitted will decrease.

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

The equation for a simple harmonic motion (SHM) is given by:

Where A is the amplitude, alpha is the initial phase and the period is given by T = 2π/omega.

So, for A = 2, T = 1.5 and alpha1 = π/2. we have:

For A = 2, T = 1.5 and alpha = π/3, we have:

Now, adding both oscillations, we have:

To increase the strength of an electromagnet, the following method would be effective:

Coil the wire around something made of iron.

When an electric current passes through a wire, it creates a magnetic field around it. By coiling the wire around a material with high magnetic permeability, such as iron, the magnetic field is concentrated and strengthened. Iron is a ferromagnetic material, meaning it can be easily magnetized, and it enhances the magnetic properties of the electromagnet. The more turns of wire around the iron core, the stronger the magnetic field produced by the electromagnet.

So, the correct response is:

- Coil the wire around something made of iron.

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The properties that determine the escape velocity of an object launched from a spacecraft in orbit around a planet are the mass of the planet, the distance between the spacecraft and the center of mass of the planet, and the mass of the object. The radius of the spacecraft and the radius of the planet are not directly related to the escape velocity, although they may affect the launch and trajectory of the object.

Escape velocity is the minimum velocity required for an object to escape the gravitational pull of a massive body such as a planet, moon, or star, and move away from it infinitely without being pulled back by the gravity.

The escape velocity of an object launched from a spacecraft in orbit around a planet is determined by the following properties:

1. The mass of the planet: The escape velocity is directly proportional to the mass of the planet. The greater the mass of the planet, the greater the escape velocity required to escape its gravitational pull.

2. The distance between the spacecraft and the center of mass of the planet: The escape velocity is inversely proportional to the square root of the distance between the spacecraft and the center of mass of the planet. The farther the spacecraft is from the planet, the lower the escape velocity required to escape its gravitational pull.

3. The mass of the object: The escape velocity is directly proportional to the mass of the object. The greater the mass of the object, the greater the escape velocity required to escape the planet's gravitational pull.

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The X” in the Preservation Material code for an item stands for cushioning and Dunnage thickness.

Preservation is any action that includes conservation, repair, restoration, replacement, de-selection, and retention of materials in all formats.

These are specific symbols, signs, numbers or letters used to represents certain preservation information or caution.

When you see an “X” in the Preservation Material code for an item. The “X” indicates that the item is for cushioning and Dunnage thickness.

Thus, the X” in the Preservation Material code for an item stands for cushioning and Dunnage thickness.

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Answer:

Answer: Oxygen

Explanation:

Oxygen would not be considered as a pollutant

Answer:

Hey there the answer is C. Oxygen

Explanation:

Oxygen is the chemical element with the symbol O and atomic number 8. It is a member of the chalcogen group in the periodic table, a highly reactive nonmetal, and an oxidizing agent that readily forms oxides with most elements as well as with other compounds. After hydrogen and helium, oxygen is the third-most abundant element in the universe by mass. At standard temperature and pressure, two atoms of the element bind to form dioxygen, a colorless and odorless diatomic gas with the formula O 2. Diatomic oxygen gas constitutes 20.95% of the Earth's atmosphere. Oxygen makes up almost half of the Earth's crust in the form of oxides. Hope this helps! Have a great day!

Answer: At present, humans are putting an estimated 9.5 billion metric tons of carbon into the atmosphere each year by burning fossil fuels, and another 1.5 billion through deforestation and other land cover changes

Explanation:

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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Given parameters:

Mass on earth  = 50kg

Unknown:

Mass on planet Xenon = ?

Weight on planet Xenon = ?

Mass is the amount of matter contained in a particular substance.

Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.

         Weight  = mass x acceleration due to gravity

Planet Xenon has half the gravitational force of Earth.

 This translated gives \(\frac{9.8}{2}\)   = 4.9m/s²

Now, mass is always the same every where if the amount of matter in a substance does not change.

In this problem, mass = 50kg on planet xenon.

Weight =  mass x acceleration due to gravity  = 50 x 4.9  = 245N

The weight on Xenon is 245N and the mass is 50kg

The statement that is NOT true is "the spaces between the particles increased.

option D.

If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.

Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.

As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.

However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.

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The answers are 4. The distance from where the ball was kicked is 38.06 meters, 5. The speed of the ball 2.5 seconds after it was kicked is 13.82 m/s, and  6. The ball is 21.88 meters above the ground 2.5 seconds after it is kicked.

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