How many miles can you get on one tank of gas which holds 18 gallons and you get 22 miles per gallon

Using the basic equation of motion v = u + at, and considering the load starts from rest (u=0), we find it takes approximately 1.43 seconds for the load to attain a speed of 10 m/s when accelerating uniformly at 7 m/s².

The student wants to know the amount of time it takes for a load at point B to achieve a speed of 10 m/s, given that it starts from rest and accelerates uniformly at a rate of 7 m/s². This problem can be solved using one of the basic equations of motion, specifically, the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Since the load is starting from rest, u = 0. Hence, the equation becomes v = at. Substituting the given values (v = 10 m/s, a = 7 m/s²), we can solve for t = v / a, which gives t = 10 / 7 = 1.43 seconds. So, it will take approximately 1.43 seconds for the load to attain a speed of 10 m/s.

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To determine the radius at which a satellite should move in its orbit around Mars, you can use Newton's Law of Universal Gravitation and the centripetal force equation. By setting the gravitational force equal to the centripetal force, you can solve for the radius of the orbit.

The radius at which a satellite should move in its orbit around Mars can be determined using Newton's Law of Universal Gravitation and the centripetal force equation. The centripetal force required for the satellite to stay in orbit is provided by the gravitational force between the satellite and Mars. To find the radius, you can set the gravitational force equal to the centripetal force and solve for the radius.

Step-by-step:

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Answer:

Acceleration = a = 3.75 m/s^2

Explanation:

Mass of truck1 = m1 = 2300 kg

Mass of truck2 = m2 = 2500 kg  

Total mass = m = m1 + m2 = 2300 + 2500 = 4800 kg

Force exerted by truck1 = F = 18000 N

As both trucks are joint together so, behaving as single object. The acceleration can be found by Newton’s second law of motion.

F = ma  

a = F/m = 18000/4800

a = 3.75 m/s^2

The blue car accelerates at 3.8 m/s² from rest. After 2.8 seconds, its speed is calculated using the formula v = u + at. The car's speed at that moment is 10.64 m/s.

To determine how fast the blue car is going 2.8 seconds after it starts, we use the formula for final velocity in uniformly accelerated motion, which is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Here, the initial velocity u is 0 m/s since the car starts from rest, the acceleration a is given as 3.8 m/s2, and the time t is 2.8 seconds.

Plugging the values into the formula gives us:

v = 0 m/s + (3.8 m/s2)(2.8 s) = 10.64 m/s.

Thus, the blue car is traveling at a speed of 10.64 meters per second after 2.8 seconds from the start.

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Answer: The distance traveled by boat is 5400 meters.

Explanation:

Speed is defined as the ratio of distance traveled to the time taken.

To calculate the distance traveled by boat, we use the equation:

[tex]\text{Spped of the boat}=\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

We are given:

Speed of the boat = 6 m/s

Time taken = 15 mins = 900 s     (Conversion factor:   1 min = 60 s)

Putting values in above equation, we get:

[tex]6m/s=\frac{\text{Distance traveled by boat}}{900s}\\\\\text{Distance traveled by boat}=(6m/s\times 900s)=5400m[/tex]

Hence, the distance traveled by boat is 5400 meters.

In a circular motion with constant speed, such as a child on a merry-go-round, the work done over one complete rotation is zero, as there is no change in kinetic energy.

The question is regarding the concept of work done in a circular motion in the context of a merry-go-round. In the system described, the child has a constant speed on the circular path which indicates that the net work done by the forces acting on the child, including the seat, over a complete round of the merry-go-round is zero. This is consistent with the fact that work done is change in kinetic energy and since the child's speed is constant, there is no change in kinetic energy.

The child's inertia plays a role in maintaining her circular path but it does not contribute to work done, as it is a quantity of mass' resistance to change in motion and does not imply a force.

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The mass of the fuel in the tank can be calculated by multiplying the volume in full tank to the density of the gasoline. First convert 22.3 gallons to ml by multiplying it with 3785.412 since the conversion factor is 1 gallon= 3785.412 ml. Then multiply the volume with the density. Since the density is in g/ml, you would get a value in grams so convert it to kg by dividing it with 1000. The convert the value in kg to lb multiply the value by 2.2. The values are 69.27 kg and 152.72 lb. 

The mass of the fuel in a full 22.3-gallon tank of gasoline, given a density of 0.8206 g/mL, is approximately 69.211 kg or 152.497 lb.

To determine the mass of the fuel in a full tank, you first need to convert the volume from gallons to milliliters (mL), since the density of gasoline is given in grams per mL.

One gallon is approximately 3785.41 mL. Therefore, a 22.3-gallon tank would hold 22.3 * 3785.41 = 84392.263 mL of fuel.

The mass of the fuel can then be calculated using the formula density = mass/volume. Rearranging the formula gives mass = density * volume. By subbing in the values, we get mass = 0.8206 g/mL * 84392.263 mL = 69211.294528 g.

To convert the mass to kilograms, we divide by 1000 (since there are 1,000 grams in a kilo). This gives us approximately 69.211 kg.

To convert the mass to pounds, we multiply by 2.20462 (since there are 2.20462 pounds in a kilo). This gives us approximately 152.497 lb.

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Final answer:

Gauss's Law is a fundamental principle in Physics that relates the electric flux through a closed surface to the net electric charge enclosed by the surface. It states that the electric flux is proportional to the total charge enclosed by the surface divided by the permittivity of free space.

Explanation:

Gauss's Law is a fundamental principle in Physics that relates the electric flux through a closed surface to the net electric charge enclosed by the surface. It states that the electric flux is proportional to the total charge enclosed by the surface divided by the permittivity of free space. Mathematically, it can be written as:

Σi E⟀Ai = Γenclosed / ε0

Where Σi E⟀Ai is the sum of the dot products of the electric field and the area vectors of small surface elements, Γenclosed is the net electric charge enclosed by the surface, and ε0 is the permittivity of free space.

Alright well aerobic respiration is very efficient and produces a large amount of energy while in the other hand anaerobic respiration is not very efficient and produces a large amount of energy.

Well Hope this helps have a nice day :)

Answer:

Fluorine

Explanation:

Fluorine is the most reactive and most electronegative element in the periodic table. It can react with glass so it is impossible to find fluorine in its pure form. It exists in gaseous form even at room temperature and it is the most oxidizing agent. It is a non metal, in metals cesium is the most reactive.

The element that is likely to be the most reactive is hydrogen. The correct option is A.

The most reactive element of the ones listed is probably hydrogen (H). It is extremely reactive due to the fact that its outermost shell contains just one electron.

Oxygen, halogens, and metals are just a few of the substances that hydrogen can interact with quickly.

Covalent bonds can be formed with nonmetals like oxygen, resulting in substances like water. In redox reactions, such as the synthesis of acids and bases, hydrogen also takes part.

Its low atomic mass, which permits quicker diffusion and more frequent collisions with other atoms, further increases its reactivity.

Overall, the electrical structure of hydrogen and its capacity to create stable bonds with other elements are what cause it to be so reactive.

Thus, the correct option is A.

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Your question seems incomplete, the probable complete question is:

Which of the following elements is likely to be the most reactive?

A) Hydrogen (H)

B) Oxygen (O)

C) Neon (Ne)

D) Argon (Ar)

By definition, the expression CaCO₃ → CaO + CO₂ is an example of a chemical equation.

A chemical reaction is any process in which at least the atoms, molecules, or ions of one substance are changed into atoms, molecules, or ions of another chemical substance.

A chemical equation is a symbolic description used to describe the identities and relative quantities of the reactants and products involved in a chemical reaction.

The information contained in the chemical equation allows us to determine the substances that are transformed or modified in a reaction, called reactants or reagents, and the new substances that originate in a chemical reaction, called products.

In order to represent what happens in a chemical reaction by means of an equation, it must comply with the Law of conservation of matter and with the Law of conservation of energy. That is, the equation must indicate that the number of atoms of the reactants and products is equal on both sides of the reaction and that the charges are also equal. In other words, you must have a balanced equation.

Finally, the expression CaCO₃ → CaO + CO₂ is an example of a chemical equation.

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Answer:

chemical equation

Explanation:

Describing Chemical Reactions quiz on edg

Final answer:

The heat required to evaporate 5.00 liters of water at 0°C is 11300 kJ, calculated by multiplying the mass of the water (5.00 kg) by the heat of vaporization (2260 kJ/kg).

Explanation:

The student is asking about the heat required to evaporate 5.00 liters of water at 0°C. This is a question related to thermochemistry, specifically the heat of vaporization of water. The heat of vaporization is the amount of energy required for liquid water to turn into water vapor. To calculate the heat required, we use the formula:

Q = m × hv

where Q is the heat required, m is the mass of water, and hv is the heat of vaporization. The heat of vaporization for water is approximately 2260 kJ/kg at 0°C.

First, we convert 5.00 liters to kilograms as the density of water is about 1 kg/L, which makes the mass 5.00 kg. Then we calculate the heat required:

Q = 5.00 kg × 2260 kJ/kg = 11300 kJ

Therefore, the heat required to evaporate 5.00 liters of water at 0°C is 11300 kJ.

The uncertainty in the measurement is ± 4 beats/min, and the percent uncertainty is approximately 3.15%.

The reported pulse rate for an infant is 127 ± 4 beats/min. Here,  "± 4 beats/min" refers to the degree of uncertainty of the measurement.

1. Uncertainty: The uncertainty of a measurement is the range of values ​​in which the true value is expected to fall. In this example the uncertainty is ± 4 beats/min.

2.Percent Uncertainty: Uncertainty as a percentage is calculated by multiplying the ratio of the uncertainty in the measured value by 100. Uncertainty is expressed as a fraction of the measured value.

Percent Uncertainty = (Uncertainty / Measured Value) × 100

Using the given values:

Uncertainty = ± 4 beats/min

Measured Value = 127 beats/min

Percent Uncertainty = (4 / 127) × 100 ≈ 3.15%

So, the uncertainty in the measurement is ± 4 beats/min, and the percent uncertainty is approximately 3.15%.

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Final answer:

The uncertainty in the infant's pulse rate measurement is ± 4 beats/min. To calculate the percent uncertainty, divide the uncertainty by the measured value (127 beats/min), giving a percent uncertainty of 3.15%.

Explanation:

The uncertainty in the infant's pulse rate is given as ± 4 beats/min. The percent uncertainty can be calculated by dividing the uncertainty by the measured value and then multiplying by 100 to get the answer in percent.

To calculate the percent uncertainty:

Performing these calculations:

(4 ÷ 127) × 100 = 3.15%

Therefore, the percent uncertainty in the measurement of the infant's pulse rate is 3.15%.

Final answer:

The potential difference needed to accelerate a He+ ion to a specific speed can be calculated using kinetic energy and charge, with the equation V = ½mv² / q, where m is the mass of the ion, v is the velocity, and q is the charge.

Explanation:

The student has asked what potential difference is needed to accelerate a He+ ion (charge +e, mass 4u) from rest to a speed of 1.8×106 m/s. The kinetic energy gained by the ion when it's accelerated through a potential difference (V) is equal to the charge of the ion (q) times the potential difference (V). Thus, we use the equation KE = qV and also know that KE can be expressed as ½mv2. Therefore, we can set these equations equal to solve for V:

V = ½mv2 / q

Where m is the mass of the He+ ion, v is the final velocity, and q is the charge of the ion. For He+ ion, q is +e, which is 1.602×10−19 C because it has one fewer electron than a normal helium atom. The mass of a He+ ion can be converted to kilograms by multiplying the atomic mass unit (u) with the conversion factor (1 u = 1.6605×10−27 kg), so for 4u, it would be 4×1.6605×10−27 kg.

Plugging these values into the equation, we can calculate the required potential difference to achieve the given speed.

By applying conservation of momentum and kinematic equations, we find the distance the starship moves as a result of exerting a force on the shuttlecraft via a tractor beam. The steps involve calculating the acceleration of the shuttlecraft, determining the time to cover the initial distance, and then using the momentum relation to find the velocity and distance moved by the starship.

The question involves applying the concept of conservation of momentum to find out how far the starship moves as it pulls a shuttlecraft on board. Since both spacecraft are initially at rest and the force is exerted for the same amount of time on both, their momenta are equal and opposite. We can set up the equation based on conservation of momentum:

m1⋅v1 = m2⋅v2

Where m1 and v1 are the mass and velocity of the starship, and m2 and v2 are the mass and velocity of the shuttlecraft, respectively. Because the tractor beam exerts a constant force, we can calculate the acceleration of the shuttlecraft (a = F/m), and then using the kinematic equation, determine the time (t) it takes for the shuttle to cover the distance:

s = 0.5⋅a⋅t^2

With t known, we can calculate the velocity of the shuttlecraft (v2) at the moment it reaches the starship:

v2 = a⋅t

Using the velocities and rearranging the conservation of momentum equation, we find:

m1⋅v1 = m2⋅(a⋅t)

Finally, we solve for the distance the starship moves (d1) using the velocity we found for v1, and the time:

d1 = 0.5⋅(v1⋅t)

This provides the answer to how far the starship moves as a result of pulling in the shuttlecraft with its tractor beam.

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Answer:

15 meters/second^2

Explanation:

I got this question on a test and this was the right answer

To convert 4.00 feet to centimeters, multiply 4.00 feet by 12 inches per foot to get inches, then multiply the result by 2.54 to convert inches to centimeters. The result is 121.92 centimeters.

To convert 4.00 feet to centimeters, you can use the conversion factors and the chain link method. First, you need to know the basic conversion factors, which are 2.54 cm in 1 inch and 12 inches in 1 foot. Using these conversions:

Convert feet to inches: 4.00 ft ×12 in/ft = 48.00 in

Then convert inches to centimeters: 48.00 in ×2.54 cm/in = 121.92 cm

Therefore, there are 121.92 centimeters in 4.00 feet.

Determining the plausibility of a paratrooper hitting the ground at 100 mi/h after an 8-second fall involves examining the concept of terminal velocity and the effects of air resistance on falling objects.

The question concerns a paratrooper's descent with a malfunctioning parachute and whether it's plausible for him to hit the ground at 100 mi/h after falling for 8 seconds. To test the accuracy of this account, we must look at the forces involved and the terminal velocity a parachutist can reach. For example, a skydiver with a mass of 75 kg can achieve a terminal velocity of about 350 km/h in a headfirst position, which corresponds to minimizing the area and therefore the drag. Transitioning to a spread-eagle position can decrease this velocity to about 200 km/h, increasing air resistance due to a larger cross-sectional area. However, after a parachute opens, the terminal velocity becomes much smaller. This means that if the parachute provided any air resistance, it's unlikely the paratrooper would be traveling at 100 mi/h (which is approximately 160 km/h) after just 8 seconds.

The paratrooper's reported fall seems plausible as the calculated average acceleration, considering air resistance, is 5.59 m/s².

A paratrooper is reported to have survived a fall from 1200 ft after his parachute failed to open. To verify this account, let's calculate the following:

1. Terminal Velocity Calculation

The paratrooper fell for 8 seconds and allegedly hit the ground at 100 mi/h.

First, convert the velocity and time:

Velocity, v = 100 mi/h = 44.7 m/s

Time, t = 8 s

2. Average Acceleration

We can use the equation of motion, v = u + at where:

u = initial velocity (0, since he started from rest)

v = final velocity (44.7 m/s)

a = acceleration

t = time (8 s)

Rearranging for acceleration, we get:

a = (v - u) / t = 44.7 m/s / 8 s = 5.59 m/s2

3. Free Fall and Air Resistance

In a vacuum, the paratrooper would fall under a gravitational acceleration of 9.8 m/s². Given our acceleration is 5.59 m/s², air resistance played a significant role, slowing his acceleration.

Conclusion

The report's accuracy seems plausible given the average acceleration calculated. However, other factors like the angle of impact and ground conditions would also have contributed to his survival.

Yes, there is centripetal acceleration, whose direction is radially inwards, towards the center of the Earth.

Remember that if an object is not accelerating, then it will remain at rest or will move with a constant velocity. Remember that velocity is defined by a magnitude (the speed) and a direction.

Now, in the case of a circular orbit, the speed is constant, but the direction of motion is not, so the velocity is not constant. So yes, we have acceleration.

That acceleration is called centripetal acceleration, and always appears when we have circular motion, is an acceleration that points inwards, to the center of the circle.

So in the case of the space shuttle that orbits Earth, the acceleration's direction would be radially inwards, towards the center of the Earth.

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Answer:

62,500 Joules

Explanation: