An escaped convict runs 1.70 km due East of the prison. He then runs due North to a friend's house. If the magnitude of the convict's total displacement vector is 2.50 km, what is the direction of his total displacement vector with respect to due East?

I understand that finals can be a stressful and overwhelming time. However, it's important to stay calm and focused so you can do your best. One of the most important things you can do is to start studying early and make a plan. Break down your study material into manageable chunks and set goals for each study session. Be sure to give yourself breaks and take care of your physical and mental health during this time.

Another helpful tip is to engage in active studying techniques, such as practicing with past exams or reviewing notes with a study group. This will help you better retain the information and identify any areas that need more attention. Additionally, try to stay organized by keeping track of deadlines and creating a schedule for each task. This can help you avoid last-minute cramming and reduce stress.

Lastly, remember to prioritize self-care during this time. Get enough sleep, eat healthy, and engage in stress-reducing activities such as meditation or exercise. It's important to take care of your well-being so you can perform your best during finals.

In summary, stay calm, make a plan, engage in active studying, stay organized, and prioritize self-care. Good luck with your finals!

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Taking into account the change of units, the correct option is option 1. : 42.7 g of Cu represents 0.0427 kg

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: \(x=\frac{c*b}{a}\)

The direct rule of three is the rule applied in this case where there is a change of units.

To perform in this case the conversion of units, you must first know that 1000 g = 1 kg. So, if 1 kg is 1000 g, how many kilometers equals 42.7 g?

1000 g ⇒ 1 kg

42.7 g ⇒ x

So: \(x=\frac{42.7 g*1 kg}{1000 kg}\)

Solving:

x= 0.0427 kg

In summary, the correct option is option 1. : 42.7 g of Cu represents 0.0427 kg

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Answer:

the answer is A and B, decrease in distance and decrease in mass

Answer:

The spring constant is approximately 46.382 newtons per meter.

Explanation:

From Physics, the period (\(T\)), measured in seconds, experimented by an object under Simple Harmonic Motion:

\(T = 2\pi\cdot \sqrt{\frac{W}{g\cdot k} }\) (1)

Where:

\(W\) - Weight, measured in newtons.

\(g\) - Gravitational acceleration, measured in meters per square second.

\(k\) - Spring constant, measured in newtons per meter.

If we know that \(W = 127\,N\), \(g = 9.807\,\frac{m}{s^{2}}\) and \(T = 3.32\,s\), then the spring constant of the system is:

\(\frac{T^{2}}{4\cdot \pi^{2}} = \frac{W}{g\cdot k}\)

\(k = \frac{4\cdot \pi^{2}\cdot W}{g\cdot T^{2}}\)

\(k \approx 46.382\,\frac{N}{m}\)

The spring constant is approximately 46.382 newtons per meter.

Answer:sorry i am only in 6 grade but this is a explanation

Explanation:Matter cannot be created or destroyed in chemical reactions. This is the law of conservation of mass. In every chemical reaction, the same mass of matter must end up in the products as started in the reactants. Balanced chemical equations show that mass is conserved in chemical reactions.

Taking into account the Boyle's law, the original pressure of a gas was 2.5 atmospheres and the original volume was 578 mL.

Boyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. This is because when the volume decreases, the distance that the particles have to travel is less and therefore more shocks occur in each unit of time, that is, the pressure increases.

Mathematically, if the amount of gas and the temperature remain constant, the product of the pressure and the volume always has the same value:

P×V= k

where:

Being an initial state 1 and a final state 2, it is fulfilled:

P₁×V₁= P₂×V₂

In this case, you know:

Replacing in Boyle's law:

2.5 atm ×V₁= 1.7 atm ×850 mL

Solving:

V₁= (1.7 atm ×850 mL)÷ 2.5 atm

V₁= 578 mL

The original volume was 578 mL.

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No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.

This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.

i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.

ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.

The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.

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If the elevator is in the upward direction, the force that Yolanda exerts on the floor of the elevator is 81.792 N.

The force that Yolanda exerts on the floor of the elevator can be calculated using Newton's second law of motion, which states that force is equal to mass times acceleration:

force = mass x acceleration

In this case, Yolanda's mass is 38.4 kg, and the upward acceleration of the elevator is 2.13 m/s². So, we can plug these values into the formula:

force = 38.4 kg x 2.13 m/s²

force = 81.792 N

Since the elevator is accelerating upwards, the force that Yolanda exerts on the floor of the elevator is also upwards, so the answer is positive.

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Answer:

48

Explanation:

y directly prop. to z

y=25

z=6.25

y=kz(k=prop. constant)

25=6.25k

k=4

now,

when z=12

then,

y=4z

y=4×12

y=48

Answer:

False.

Explanation:

This question refers to the rules of American Football. Thus, the line of scrimmage is an imaginary boundary that is established between both teams, to which the offensive line and the defensive line go to start the play.

In this situation, the offensive team must have 7 players in its formation, but within this some players can perform certain movements, with which it is incorrect to say that the formation cannot be modified, since it is constantly seen as some players, such as wide receivers, for example, move during scrimmage formation.

The work performed on the bag throughout the whole scenario is 49 J, and the power generated while lifting the bag is approximately 51.58 W.

The work performed on the bag throughout the whole scenario can be calculated by adding the work done during lifting and walking.

Given:

Mass of the bag (m) = 7 kg

Gravitational acceleration (g) = 9.8 m/s²

Initial height (h_initial) = 0 m

Final height (h_final) = 0.7 m

Distance walked (d_walk) = 25 m + 10 m = 35 m

Time taken to lift the bag (t_lift) = 0.95 s

Work_lift:

Work_lift = (mass x gravitational acceleration) x (final height - initial height)

Work_lift = (7 kg x 9.8 m/s²) x (0.7 m - 0 m)

Calculating this expression gives us:

Work_lift = 49 J

Work_walk:

Work_walk = 0 N x 35 m

Since the force while walking is perpendicular to the displacement, no work is done.

Total work done on the bag:

Total work = Work_lift + Work_walk

Total work = 49 J + 0 J

Therefore, the total work done on the bag throughout the scenario is 49 J.

To calculate the power generated during lifting the bag:

Power = Work_lift / time_lift

Power = 49 J / 0.95 s

Calculating this expression gives us:

Power = 51.58 W

Therefore, the power generated while lifting the bag is approximately 51.58 Watts.

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Answer: It was important when the Sun was forming from a shrinking interstellar cloud of gas.

Hope this helps!!

This process is thought to have been the main source of energy for the sun in the early stages of its development before nuclear fusion reactions in the sun's core became the dominant source of energy.

Gravitational contraction is the process by which a celestial body, such as a star, generates energy through the release of gravitational potential energy as it contracts and becomes denser.

Here,
This process is thought to have been the main source of energy for the sun in the early stages of its development before nuclear fusion reactions in the sun's core became the dominant source of energy.

As the sun contracted and became denser, the temperature and pressure in its core increased, leading to the initiation of nuclear fusion reactions. These reactions transformed hydrogen into helium and released a tremendous amount of energy in the form of light and heat, which has sustained the sun for billions of years.

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Answer:

The Gravity gets stronger

Explanation:

Newtons laws of motion.

Answer:

the projectile travels with a constant horizontal velocity and a downward vertical acceleration.

1. The maximum height the object will attain is 8.6 m

2. The time spent by the object in the air is 2.65 s

3. The distance (i.e range) the object will land is 19.88 m

1. How to determine the maximum height

The maximum height reached by the eobject can be obtained as follow:

H = u²Sine²θ / 2g

H = [(15)² × (Sine 60)²] / (2 × 9.8)

H = 168.75 / 19.6

H = 8.6 m

2. How to determine the time of flight

The time spent by the object in the air can be obtained as follow:

T = 2uSineθ / g

T = [2 × 15 × Sine 60] / 9.8

T = 2.65 s

3. How to determin the distance (i.e range)

R = u²Sine(2θ) / g

R = (15)² × Sine (2×60) / 9.8

R = 19.88 m

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The net force is 240 N.

We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as

R = F1 + F2 + ... + Fn

where R is force resultant (net force)

From the question above, we know that

F1 = 110 N

F2 = 130 N

The sled doesn't have friction force due to medium is frictionless.

Because the direction is the same, the force will add to each other.

R = F1 + F2

R = 110 + 130

R = 240 N

Hence, the net force is 240 N

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The closest probability value to the probability of the mean height being more than 67 inches is option d. 0.3694

To calculate the probability that the mean height of the 9 randomly selected students will be more than 67 inches, we can use the sampling distribution of the sample mean.

The mean of the sampling distribution of the sample mean is equal to the population mean, which is 66 inches in this case. The standard deviation of the sampling distribution (also known as the standard error) is calculated by dividing the population standard deviation by the square root of the sample size. In this case, the standard deviation is 3 inches and the sample size is 9.

The probability that the mean height of the 9 students will be more than 67 inches can be calculated by finding the area under the sampling distribution curve to the right of 67 inches. This can be done using a standard normal distribution table or a statistical calculator.

Based on the calculations, the closest probability value to the probability of the mean height being more than 67 inches is option d. 0.3694.

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The magnitude of the second charge is 3.01 x 10⁻⁵C.

The second charge is positive.

The magnitude of the second charge is determined by applying Coulomb's law of electrostatic force as shown below.

F = kq₁q₂/r²

where;

Substitute the given parameters, and solve for the magnitude of the second charge as shown below.

q₂ = Fr²/kq₁

q₂ = (65 x 0.5²) / (9 x 10⁹ x 6 x 10⁻⁵)

q₂ = 3.01 x 10⁻⁵C

Thus, the magnitude of the second charge is 3.01 x 10⁻⁵C. Also, since the force is attractive, the second charge must be positive.

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Answer:

Air moves from the areas of higher temperature to areas of lower temperature.

Explanation:

this is because hotter temperatures seek out colder temps.

hope this helped!

When a teacher opens a window on a cold day. the room starts to feel cooler because air moves from the areas of higher temperature to areas of lower temperature.

The transfer of heat between two bodies by currents of moving gas or fluid is known as convective heat transfer. In free convection, air or water rises and is replaced by a cooler parcel of air or water as it moves away from the hot body.

As air moves from the areas of higher temperature to areas of lower temperature, when the teacher opens a window on a cold day, the air in the room moves out side and cold air takes the position inside the room. So, it feels cooler then.

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Tarzan grabs a vine hanging vertically from a tall tree when he is running horizontally at 9.0m/s. 4.12 m high Tarzan can swing upward.

This question can be solved using the principle of conservation of energy.

Conservation of energy principle:

The conservation of energy principle states that the total energy of an isolated system remains constant. That is, energy can neither be created nor destroyed. It can only be transformed from one form to another. Therefore, the initial total energy of the system is equal to the final total energy of the system.

Initially, Tarzan has kinetic energy. When he grabs the vine, some of his kinetic energy is transformed into potential energy. When he reaches the highest point of his swing, all his kinetic energy is transformed into potential energy. At this point, he has zero kinetic energy and maximum potential energy.

When he is at his maximum height, he is in equilibrium. Therefore, his velocity is zero. The gravitational potential energy of Tarzan is given as follows:

G.P.E = mgh

Where m = 75 kg (approximate mass of Tarzan)

g = 9.8 m/s² (acceleration due to gravity)

h = maximum heightWe know that the velocity of Tarzan is horizontal.

Therefore, it is perpendicular to the gravitational force acting on him. The component of velocity perpendicular to the gravitational force is zero. Therefore, only the horizontal velocity of Tarzan is considered.

Considering the conservation of energy principle, the initial total energy is equal to the final total energy.

Energy before = Energy after

Initial Kinetic Energy + Initial Gravitational

Potential Energy = Final Kinetic Energy + Final Gravitational Potential Energy

Energy before = Energy after = ½ mv² + mgh = 0 + mgh½ mv² = mghV = √(2gh)

Where V is the velocity of Tarzan when he reaches the maximum height.

Since the velocity of Tarzan is given as 9.0 m/s, we can say that:

9.0 m/s = √(2gh)

9.0² = 2gh

81 = 2gh

h = 81 / (2g)

h = 81 / (2 × 9.8)m

h ≈ 4.12m

Thus, Tarzan can swing upward up to approximately 4.12 m.

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Answer:

C

Explanation:

Because when they clump together they bind. Get it?

Answer:

I'm thinking C) They are found in clumps called clusters and superclusters.

Explanation:

Galaxies with stronger gravity cause others to get close to them which means they created clusters

The initial velocity of the car as it slow to rest with an acceleration of -5 m/s² is 11.5 m/s.

This can be defined as the ratio of displacement to the time of a body

To calculate the initial velocity of the car, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence the initial velocity of the car is 11.5 m/s

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Answer:

720,000

Explanation:

change in momentum = m (v2-v1)

= 45,000(258-242)= 720,000

Answer:

31.92 h

Explanation:

We'll begin by calculating the number of half-lives that has elapsed. This can be obtained as follow:

Original amount (N₀) = 1

Amount remaining (N) = ⅛

Number of half-lives (n) =?

N = 1/2ⁿ × N₀

⅛ = 1/2ⁿ × 1

Cross multiply

2ⁿ = 8

Express 8 in index form with 2 as the base.

2ⁿ = 2³

n = 3

Thus, 3 half-lives has elapsed.

Finally, we shall determine the time. This can be obtained as follow:

Half-life (t½) = 10.64 h

Number of half-lives (n) = 3

Time (t) =?

n = t / t½

3 = t / 10.64

Cross multiply

t = 3 × 10.64

t = 31.92 h

Therefore, it will take 31.92 h for lead-212 to decay to one-eighth its original strength.

Answer:

An egg with a thick shell.

Explanation:

Hope this helps.

The heat energy for water used to raise the temperature by one degree Celsius is 4.15 J. Then temperature change in 200 g water using 9000 cal is 453 °C.

Specific heat capacity of a substance is the energy required to raise the temperature by 1 degree Celsius by one degree per one gram of the substance.

The specific heat of water is 0.415 J/°C g. Then the heat energy required by 200 g is  : 200 g × 0.415 J/°Cg  = 83 J/°C.

83 J of heat energy is required by 200 g of water to raise temperature by one degree Celsius. Then the temperature that can be made by 9000 cal energy is:

1 cal = 4.18 J

9000 cal = 37620 J

83 J is required for one degree. Then temperature change by 37620 J is:

37620 J/80 J°C = 453°C.

Therefore, the temperature change of water will be 453°C.

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To find the radius value of a star, you must first measure its apparent brightness and its distance from Earth.

These two measurements are essential because they help astronomers calculate the star's luminosity, which is the total amount of energy it emits per second. Once the luminosity is known, scientists can use a mathematical equation called the Stefan-Boltzmann law to determine the star's surface temperature. Finally, by combining the temperature with the luminosity, astronomers can calculate the star's radius. This process is essential for understanding a star's physical properties and can provide valuable insights into its life cycle and behavior. Overall, measuring the apparent brightness and distance of a star is critical for determining its radius value and unlocking many other mysteries about these fascinating celestial objects.

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