Refer to the picture!

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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1 Therefore, the kinetic frictional force experienced by the block on the incline is 6.784 N.

2 The magnitude of the velocity of the block at point B is approximately 5.11 m/s.

1. The formula for the kinetic frictional force is given by f = μN, where μ is the coefficient of kinetic friction and N is the normal force. Since the block is on an incline, the normal force can be calculated as N = mg * cos(θ), where θ is the angle of inclination.

N = 4 kg * 9.8 m/s² * cos(30°) = 33.92 N

f = 0.2 * 33.92 N

= 6.784 N

2. Potential energy at point A = mgh, where h is the vertical height of the incline.

Potential energy at point A = 4 kg * 9.8 m/s² * 3 m * sin(30°)

= 58.8 J

The work done by friction is given by W = f * d, where d is the distance traveled along the incline (3 m).

Work done by friction = 6.784 N * 3 m = 20.352 J

Since the work done by friction is negative (opposite to the direction of motion), the total work done on the block is:

Total work = Potential energy at A - Work done by friction

Total work = 58.8 J - 20.352 J = 38.448 J

According to the work-energy theorem, this work done on the block is equal to the change in its kinetic energy. Therefore, we have:

38.448 J = 0.5 * 4 kg * B²

Solving for B, we find:

B = √(38.448 J / (0.5 * 4 kg)) ≈ 5.11 m/s

Therefore, the magnitude of the velocity of the block at point B is approximately 5.11 m/s.

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The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.

The work-energy theorem states that "the work done on an object is the change in its kinetic energy".

Hence;

Kinetic energy = work done

Note that: work-done is expressed as:

Work done = f × d

Where f is force applied and d is distance traveled.

Given that:

Force applied f = 5 newton

Distance d = 2 meters

Work done = ?

Plug these values into the above formula and solve for the workdone.

Work done = f × d

Work done = 5N × 2m

Work done = 10Nm

Work done = 10 Joules

Therefore, the kinetic energy is 10 Joules.

Option B) 10 J is the correct answer.

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Graphs can help to demonstrate the qualitative relationship between a set of data by identifying patterns among these data.

Graphs can allow readers to identify a lot of information among a set of data. The most common information to be evaluated through the graphs is the existence of patterns between the data.

For example, a line graph can show the change in a variable over time, allowing readers to see if there is a consistent increase or decrease.

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There are 630,720,000 seconds in 20 years.

To calculate the number of seconds in 20 years, we need to consider the number of seconds in a minute, minutes in an hour, hours in a day, and days in a year.

1 minute consists of 60 seconds.

1 hour contains 60 minutes (60 minutes × 60 seconds = 3600 seconds).

1 day consists of 24 hours (24 hours × 3600 seconds = 86,400 seconds).

1 year typically consists of 365 days (365 days × 86,400 seconds = 31,536,000 seconds).

To find the number of seconds in 20 years, we multiply the number of seconds in one year by 20:

20 years × 31,536,000 seconds = 630,720,000 seconds.

Therefore, there are 630,720,000 seconds in 20 years.

This calculation assumes a non-leap year with 365 days.

If the 20 years span a leap year, the total number of seconds would be slightly higher, accounting for the extra day in the leap year.

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The following situations represents a positive displacement:

B. An object moves from a height of 5 meters to a height of 10 meters.

Displacement is a vector quantity that measures the change in position of an object from its initial position to its final position. In this scenario, the positive position is measured vertically upward along the y-axis. Let's analyze each option to determine which one represents a positive displacement:

A. An object moves from a height of 10 meters to a height of 5 meters.

This represents a negative displacement since the object moves downward, opposite to the positive direction along the y-axis.

B. An object moves from a height of 5 meters to a height of 10 meters.

This represents a positive displacement as the object moves upward, in the positive direction along the y-axis.

C. An object remains at a height of 5 meters.

This represents zero displacement since there is no change in the object's position along the y-axis.

D. An object moves from a height of 5 meters to a height of 5 meters.

This also represents zero displacement since the object starts and ends at the same position along the y-axis.

Therefore, the situation that represents a positive displacement is option B, where the object moves from a height of 5 meters to a height of 10 meters.

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The total mass of water vapor in the air in the apartment can be calculated using the formula for absolute humidity. The total mass is approximately 5.04 kg.

To calculate the total mass of water vapor in the air, we need to determine the volume of the apartment and then use the formula for absolute humidity.

Calculate the volume of the apartment: The volume of the apartment can be calculated by multiplying its dimensions: Volume = length x width x height = 18 m x 9 m x 6 m = 972 cubic meters.

Determine the vapor pressure: The relative humidity of 59 percent indicates that the air is holding 59 percent of the maximum amount of water vapor it can hold at the given temperature.

Find the saturation vapor pressure: The saturation vapor pressure is the maximum pressure of water vapor that air can hold at a given temperature. At 25°C, the saturation vapor pressure is approximately 3.17 kPa.

Calculate the actual vapor pressure: The actual vapor pressure can be calculated by multiplying the saturation vapor pressure by the relative humidity: Actual vapor pressure = Relative humidity x Saturation vapor pressure = 0.59 x 3.17 kPa = 1.867 kPa.

Calculate the mass of water vapour: The mass of water vapor can be determined using the formula for absolute humidity: Mass = Absolute humidity x Volume = (Actual vapor pressure / (0.287 kJ/(kg·K) x Temperature)) x Volume. In this case, the temperature is 25°C, which is 298 K.

Mass = (1.867 kPa / (0.287 kJ/(kg·K) x 298 K)) x 972 m^3 = 5.04 kg.

Therefore, the total mass of water vapor in the air in the apartment is approximately 5.04 kg.

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Sarah’s velocity immediately after the collision is 4.3 m/s west.

option C is the correct answer.

Sarah’s velocity immediately after the collision is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

Sarah’s velocity immediately after the collision is calculated as;

179 (1.6) + 163(3.9) = 179v₁ + 163(0.9)

922.1 = 179v₁ + 146.7

179v₁ = 775.4

v₁ = 4.3 m/s

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orbital decay causes the ISS to get closer to Earth, resulting in an increase in its velocity but not affecting its orbital velocity. The increase in velocity helps the ISS maintain its orbital stability despite the decrease in altitude.

Orbital decay of the International Space Station (ISS) leads to a decrease in its altitude, causing it to get closer to Earth.

This decrease in altitude affects the velocity and orbital velocity of the ISS.

As the ISS gets closer to Earth, the gravitational pull becomes stronger, resulting in an increase in its velocity.

This increase in velocity is a consequence of the conservation of angular momentum.

According to this principle, as the orbiting object gets closer to the central body (in this case, Earth), its velocity must increase to maintain the balance between gravitational pull and centrifugal force.

However, it's important to note that the increase in velocity due to orbital decay does not affect the orbital velocity of the ISS.

Orbital velocity is the minimum velocity required to maintain a stable orbit at a given altitude.

Even though the ISS experiences orbital decay, its orbital velocity remains constant because the decrease in altitude compensates for the increase in velocity, ensuring that the ISS continues to maintain a stable orbit.

In summary, orbital decay causes the ISS to get closer to Earth, resulting in an increase in its velocity but not affecting its orbital velocity. The increase in velocity helps the ISS maintain its orbital stability despite the decrease in altitude.

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Answer:800 Joules

Explanation: Energy = Power × Time = 100∗8100∗8 = 800 joules

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 [tex](0.10 \times 10^{-3} m)[/tex] and the unstretched length (L₀) is 3.1 cm [tex](3.1 \times 10^{-2} m)[/tex], we can calculate the strain:

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

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[tex](0.22 \times 10^{-3} m)[/tex], we can calculate the cross-sectional area:

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

Finally, we can calculate the force:

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

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: B) remain same

If a substance is at its triple point and we increase the pressure, then the triple point will remain the same.

A triple point is a condition in which a substance exists in a state of equilibrium between three phases, typically solid, liquid, and gas. The triple point is a unique point on a phase diagram that represents the temperature and pressure at which all three phases of the substance can coexist in equilibrium.

If the pressure is increased at the triple point, the temperature will remain the same because it is the temperature at which all three phases of the substance can coexist. The triple point will remain the same because it is a unique point on a phase diagram and is independent of external conditions such as pressure.

Therefore, the correct answer is b) remain the same.

Answer:

The following elements are matched with their number of neutrons

1. 88 38 Sr - b. 50

2. 39 19 Ka - a. 20

3. 14 6 Carbon - c. 8

4. 234 90 Thorium plus 4 2 Helium - d. 74

To determine the number of neutrons for each element, we need to subtract the atomic number (which represents the number of protons) from the mass number (which represents the total number of protons and neutrons).

1. 88 38 Sr:

The atomic number of strontium (Sr) is 38, which means it has 38 protons. The mass number is 88. Subtracting the atomic number from the mass number: 88 - 38 = 50. Therefore, the number of neutrons in strontium is 50.

2. 39 19 Ka:

The atomic number of potassium (K) is 19, indicating 19 protons. The mass number is 39. Subtracting the atomic number from the mass number: 39 - 19 = 20. Hence, the number of neutrons in potassium is 20.

3. 14 6 Carbon:

The atomic number of carbon (C) is 6, representing 6 protons. The mass number is 14. Subtracting the atomic number from the mass number: 14 - 6 = 8. Thus, the number of neutrons in carbon is 8.

4. 234 90 Thorium plus 4 2 Helium:

The atomic number of thorium (Th) is 90, which means it has 90 protons. The mass number is 234. Subtracting the atomic number from the mass number: 234 - 90 = 144. However, there is also an additional helium (He) isotope mentioned with a mass number of 4 and atomic number of 2. Adding the number of neutrons from thorium and helium: 144 + 2 = 146. Hence, the number of neutrons in thorium plus helium is 146.

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In any given week, I think I am exposed to sounds loud enough to cause hearing damage about 2-3 times. I am not using hearing protection at those times. I do not think I have already experienced hearing loss, but I am not sure.

Hearing loss refers to a partial or total inability to hear sounds in one or both ears. It can vary in severity, from mild to profound, and can affect people of all ages.

I think there are a few reasons why people don't use hearing protection more often. One reason is that they may not be aware of the risks of noise-induced hearing loss. Another reason is that they may not think the risks are high enough to warrant using hearing protection. Finally, some people may find hearing protection uncomfortable or inconvenient to use.

Here are some things that could be done to encourage people to protect their hearing:

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The crate moves this time because the applied force of 150 N is greater than the maximum static friction force that opposes the motion of the crate. Static friction is a force that opposes the relative motion between two objects in contact. The maximum static friction force is determined by the normal force and the coefficient of static friction between the two surfaces in contact. The harder the surfaces are pushed together, the more force is needed to move them. When the applied force exceeds the maximum static friction force, the crate will start to move. Once in motion, it is easier to keep it in motion than it was to get it started because the kinetic friction force is less than the static friction force.

If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The

wavelength of the wave is 1.69m.

The wavelength of a wave can be determined using the equation:

Wavelength = velocity / frequency

To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.

frequency = 1 / time

frequency = 1 / 0.230

frequency ≈ 4.35 Hz

Substitute the values into the wavelength equation:

wavelength = velocity / frequency

wavelength = 7.33 / 4.35

wavelength ≈ 1.69m

Therefore the wavelength of the wave is approximately 1.69 meters.

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The reaction equations for the steps involved in the decay of U-238 to Ra-226 are;

[tex]^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He[/tex]

[tex]^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He[/tex]

[tex]^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He[/tex]

The radioactive equation for the decay of U-238 to Ra-226 is calculated as follows;

First the uranium atom (U-238) will decay thorium by emitting alpha particle as shown in the equation below;

[tex]^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He[/tex]

The second stage is, the thorium will decay to radium by emitting alpha particles again as shown below;

[tex]^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He[/tex]

The third, and final stage, the radium will decay to an isotope of radium again, by emitting alpha particle as shown below;

[tex]^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He[/tex]

Thus, the reaction equations for the steps involved in the decay of U-238 to Ra-226 are;

[tex]^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He[/tex]

[tex]^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He[/tex]

[tex]^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He[/tex]

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The distance covered by a ball in the first second of free fall is approximately 4.9 meters.

When an object falls freely under the influence of gravity, it experiences constant acceleration. In the case of Earth's gravity, the acceleration due to gravity is approximately 9.8 m/s². This means that the velocity of the falling object increases by 9.8 meters per second every second.

To determine the distance covered by the ball in the first second, we can use the equations of motion for uniformly accelerated motion.

The equation that relates distance (d), initial velocity (u), acceleration (a), and time (t) is:

d = ut + (1/2)at²

In this case, the initial velocity is zero (as the ball starts from rest), the acceleration is 9.8 m/s², and we want to find the distance covered in the first second (t = 1 second).

Plugging in the values:

d = 0 * 1 + (1/2) * 9.8 * (1)^2

d = 0 + (1/2) * 9.8

d = 0 + 4.9

d = 4.9 meters

Therefore, the ball covers a distance of approximately 4.9 meters in the first second of free fall.

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The reactive force when a fish swims through water is the force of the water on the fish. This is an example of Newton’s third law of motion which states that for every action, there is an equal and opposite reaction. The active force is the fish pushing against the water, so the reactive force would be the reverse, the equal force of the water pushing back on the fish.