You fill a car with gasoline. The car now has... ( what energy)

The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.

d (distance) from A to B is = √2gh

In this case given are, g = 9.8 m/s² and h = 100m,

so here d = √(2⋅9.8⋅100) = 44.3m.

Final velocity ,v = √2gh

Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,

g = 9.8 m/s² ,h = 100m,

v = √(2⋅9.8⋅100)

= 44.3 m/s (final velocity)

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The probability that the sample waves mean is between $790,000$ and $820,000$ is:$$P(-0.33 < z < 0.67) = P(z < 0.67) - P(z < -0.33)$$$$= 0.7486 - 0.3707 = 0.3779$$.

Correct option is, D.

The standard error of the sample mean is:$SE = \frac{300,000}{\sqrt{100}} = 30,000$b. To find the probability that the sample mean exceeds $825,000$, we need to standardize the sample mean using the formula: $$z = \frac{\bar{x} - \mu}{SE}$$Where:z is the standard normal variable$\bar{x} = 825,000$ is the sample mean$\mu = 800,000$ is the population meanSE is the standard error of the sample meanFrom the above data:$z = \frac{825,000 - 800,000}{30,000} = 0.83$Using the standard normal table, we can find that the probability of $z$ being less than $0.83$ is $0.7967$.

The standard error of the sample mean is given by: $ \frac{S}{\sqrt{n}}$ Where:S = the standard deviation of the populationn = sample size$S = 300,000$ and $n = 100$. Therefore, the probability that the sample mean is between $790,000$ and $820,000$ is $0.3779$ or approximately $37.79$%.

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The values: Φ = (4π × 10⁻⁷ T·m/A) * (450 turns) * (0.0400 A) * (0.00017671 m²)

To compute the magnetic flux through each turn of the air-core solenoid, we need to use the formula for the magnetic flux through a solenoid, which is given by:

Φ = μ₀ * N * I * A

Where:

Φ is the magnetic flux through the solenoid,

μ₀ is the permeability of free space (constant value),

N is the number of turns in the solenoid,

I is the current flowing through the solenoid, and

A is the cross-sectional area of the solenoid.

Let's calculate the magnetic flux through each turn step by step:

Calculate the cross-sectional area of the solenoid:

The diameter of the solenoid is 15.0 mm, which gives a radius of 7.5 mm or 0.0075 m.

The cross-sectional area A = π * r² = π * (0.0075 m)² = 0.00017671 m².

Calculate the magnetic flux through each turn:

Φ = μ₀ * N * I * A

Using the values given: μ₀ ≈ 4π × 10⁻⁷ T·m/A, N = 450 turns, I = 40.0 mA = 0.0400 A, and A = 0.00017671 m².

Substituting the values: Φ = (4π × 10⁻⁷ T·m/A) * (450 turns) * (0.0400 A) * (0.00017671 m²)

Evaluating this expression gives the magnetic flux through each turn of the solenoid.

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A 60.0-W lamp is placed in series with a resistor and a 120.0-V source. If the voltage across the lamp is 30 V,  54.6 Ω is the resistance R of the resistor.

The resistance of the resistor in series with a lamp and a 120.0-V source can be determined if the voltage across the lamp is 30 V and the lamp's power is 60.0 W.

Using Ohm's Law, we can calculate the resistance of the resistor by dividing the voltage across the resistor by the current flowing through it. Since the lamp and resistor are in series, the current passing through both components is the same.

The power of the lamp can be expressed as the product of voltage and current, so we can use this relationship to find the current flowing through the circuit. Given that the voltage across the lamp is 30 V and the lamp's power is 60.0 W, we can divide the power by the voltage to obtain the current.

Once we have the current, we can use it to determine the resistance of the resistor. By rearranging Ohm's Law, we have resistance equal to voltage divided by current.

Therefore, to find the resistance R of the resistor, we divide the voltage across the resistor (120 V - 30 V = 90 V) by the current obtained from the power and voltage relationship of the lamp.

R = V/I

R = 30 V / 120

R = 54.6 Ω

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The charge qred on the red sphere is given by (2q * d2^2) / d1^2, expressed in terms of q, d1, d2, and θ.

To calculate the charge qred on the red sphere, we can use the concept of electric forces and Coulomb's law. The electric force between two charges is given by F = k * (|q1| * |q2|) / r^2, where k is the electrostatic constant, q1 and q2 are the charges, and r is the distance between them.
In this scenario, the yellow sphere has a charge of 2q. Let's assume the distance between the yellow and red spheres is d1. The force between the yellow and red spheres can be expressed as F1 = k * (|2q| * |qred|) / d1^2.
Now, suppose the distance between the red sphere and the source of electric field is d2. The force between the red sphere and the source of electric field can be expressed as F2 = k * (|qred| * |qred|) / d2^2.
Since the forces F1 and F2 are equal (since they act on the same object), we can set them equal to each other:
k * (|2q| * |qred|) / d1^2 = k * (|qred| * |qred|) / d2^2
Simplifying and rearranging the equation, we have:
(2q * qred) / d1^2 = qred^2 / d2^2
Cross-multiplying and solving for qred, we get:
2q * d2^2 = qred * d1^2
qred = (2q * d2^2) / d1^2

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Answer:

A

Explanation:

The correct answer is; The specific heat of water is greater than that of air.

The specific heat capacity of a substance is defined as the quantity of heat required to raise the temperature of a unit mass of that substance by 1°C.

The higher the specific heat capacity of a substance, the higher the energy required to raise its temperature by 1°C.

Water has a very high specific heat capacity compared to air therefore when air around a pool and the water in the pool receive equal amounts of energy from the sun, the air experiences a greater increase in temperature than does the water.

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Option A) is correct. It can take several hours to several days for petroleum-based accelerant to fully evaporate from a surface.

The rate at which a petroleum-based accelerant evaporates can depend on a variety of factors such as the temperature, humidity, wind, and the type of accelerant used. Generally, it can take several hours to several days for petroleum-based accelerants to fully evaporate from a surface.

In a fire investigation, it is important to collect samples of any accelerants as soon as possible to avoid the risk of the accelerants evaporating and leaving no trace. If the accelerant is not collected within the appropriate time frame, it could potentially compromise the investigation.

Miguel should be aware of the environmental conditions and any factors that may influence the evaporation rate of the accelerant. He should take care to collect evidence in a timely manner and follow proper protocols to preserve any potential evidence. It is also recommended that Miguel consult with experts in the field to determine the best course of action in collecting and analyzing evidence related to the fire.

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Answer: A

Explanation:

The gravitational force between two objects depends on their masses and the distance between them.

In this scenario, we will assume that the four balls have the same mass. When considering the force between the bottom two balls, the distance between them is shorter compared to the top two balls. The force of gravity is inversely proportional to the square of the distance between the objects. Therefore, as the distance between the balls decreases, the gravitational force between them increases.

Conversely, when considering the force between the top two balls, the distance between them is larger than that between the bottom two balls. Since the force of gravity decreases with an increase in distance, the gravitational force between the top two balls will be smaller compared to the bottom two balls.

To put it simply, the closer the objects are to each other, the stronger the gravitational force between them. In the case of the bottom two balls, their proximity results in a stronger gravitational force between them. On the other hand, the top two balls are farther apart, leading to a weaker gravitational force between them.

This phenomenon follows Newton's law of universal gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

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Answer:

mgi

Explanation:

Answer: x = 7

Explanation: 12 = 14 -2 = 12.

Justin is employing the "Re-evaluation" of the Four Rs, which refers to re-examining and reassessing the situation. This includes reflecting on what he did in the job application process, such as his interview questions and resume errors, to gain insight into why he was not hired. This reflection is beneficial in helping Justin learn and improve his skills and techniques, enabling him to become better prepared for future job opportunities.

It is used to clarify any matters which have become unclear during cross-examination; It is used to ask further questions about something which was put to the witness in cross-examination; It is used to ask further questions about an answer given by a witness during cross-examination.

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A mass is a fixed quantity of matter. The weight that mass feels depends on the Gravitational force acting on the mass.

Weight is the upward force a mass applies due to gravity. The strength of an object's gravitational pull, or its weight, can also be referred to as weight. Gravity is a factor in weight. An object's mass is the quantity of material that makes it up. Gravity has no effect on mass. Weight is the force of gravity acting on (drawing down) a particular object (or mass). We are aware that weight is the product of mass and the applied gravitational force. This means that W = MG, where w is the weight, M is the mass, and G is the gravitational force. This also means that "the weight of an object is directly proportionate to its mass" is another possible interpretation.

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The vertical bar (|) metacharacter is used to allow a string to contain an alternate set of substrings. It is also known as the "pipe" character and it functions as an "OR" operator in regular expressions.

This means that when the vertical bar is used between two strings, the regular expression engine will look for either one of the strings in the target string. For example, the regular expression "cat|dog" will match either "cat" or "dog" in the target string. The vertical bar is a useful tool for creating flexible regular expressions that can match different variations of a pattern.
This pattern would match any of the three colors "red", "blue", or "green" in a given string. By incorporating the "|" metacharacter, you can efficiently search for and match various substrings within a larger string, making it a powerful and versatile tool in pattern recognition and text processing tasks.

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Answer:

The graph appears to be in error.

The actual figure appears to be a rhombus with sides of 5 and 15 with a height of 5

The work done (F * S) is the area of the rhombus

1/2 * (5 +15) * 5 = 50 J

Answer:

V = 61.74m/s

Explanation:

Given the following data;

Acceleration due to gravity = 9.8m/s²

Time, t = 6.3 secs

Since it's a free fall, initial velocity = 0

Thus, to find the final velocity, we would use the first equation of motion;

\( V = U + at\)

Substituting into the equation, we have;

\( V = 0 + 9.8 * 6.3\)

V = 61.74m/s

Therefore, the final velocity is 61.74m/s

The statement that is true is that in turbulent flow, streamlines can begin or end at any point: streamlines are perpendicular to the velocity of the fluid at every point.

At any given point of time, when the flow of water is constant with respect of time then it is called streamline flow. Streamline flow occurs when there are sharp edge obstacles in the path of a fast-moving fluid. Streamline flow is explained by Pascal's principle. In steady flow, the liquid velocity at any particular point is the same. In steady flow of water, we can consider that the two layers of water cannot meet or merge with each other and it will flow continuously without any interruption. The high viscosity index number  of any fluid describes many things about that fluid like high viscosity number describes about the rigidity of that fluid with respect to the flowing area. Streamline flow of any fluid means its smooth flow after passing through a cut edge without disturbing its path.

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The normal force has a 25 N force magnitude and an upward force direction.

The force the book exerts on the table is downward-directed and equal to its weight, which is 25 N.

According to Newton's third law, every force an object A applies to an object B is balanced out by an equally strong force applied in the opposite direction to object A.

The book is object A in this instance, while the table is object B. According to Newton's third law, the table pulls on the book with a force that is both equal to and opposite to that of the force exerted by the table. As a result, the normal force's magnitude is the same as the weight of the book (25 N), while its direction is opposite.

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Answer:

Consider a satellite with mass Msat orbiting a central body with a mass of mass MCentral. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the net centripetal force acting upon this orbiting satellite is given by the relationship

Fnet = ( Msat • v2 ) / R

Explanation:

The acceleration of the satellite released from a spacecraft orbiting a planet at an altitude of 120 km and the planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km is 4.426 *  \(10^6\)  \(m/s^2\).

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. A vector quantity, acceleration, is something that has both a magnitude and a direction. Velocity is a vector quantity as well.

Given:

The altitude of the spacecraft, h = 120 km,

The mass of the planet, m = \(5.2 * 10^{23}\) kg,

The radius of the planet, r = 2800 km.

Calculate the acceleration by the formula given below,

A = \(G* m /r^2\)

Here, A is the acceleration, G is the gravitational constant,

Substitute the values,

A = 6.674 * \(10^{-11}\) *5.2 * \(10^{23}\) / \(2800^2\)

A = 4.426 *  \(10^6\)  \(m/s^2\)

Therefore, the acceleration of the satellite is 4.426 *  \(10^6\)  \(m/s^2\)

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The velocity of the particle at t=1s is -5 m/s and the speed is 5 m/s.

The velocity is defined as the rate of change of displacement. To find the velocity from the displacement-time equation, differentiate the equation with respect to 't'. Then, find the magnitude of the speed by taking the modulus of velocity.

The given displacement-time equation is,

\(x=8-11t+3t^2\)

Differentiating with respect to 't',

v = dx/dt = 0-11+6t = -11+6t

At t=1s, v = -11+6(1) = -11+6 = -5 m/s.

Taking the modulus of velocity,

Speed = |v| = |-5| = 5 m/s

Thus, the values of velocity and speed at t=1s are obtained as -5 m/s and 5 m/s respectively.

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position of particle, x = 8 - 11t + 3t²For t = 1 s,x = 8 - 11(1) + 3(1)²= 8 - 11 + 3= 0 m1)  To find the velocity, differentiate the position function with respect to time.

(dx/dt) = v= d/dt (8 - 11t + 3t²)= 0 - 11 + 6t= -11 + 6(1) = -5 m/s

The velocity at t = 1.0 s is -5 m/s2)

To find the speed, we need to take the absolute value of the velocity.speed = |v| = |-5| = 5 m/s

Hence, the speed at t = 1.0 s is 5 m/s.

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Batteries often convert chemical energy directly to electrical energy.

From the experiment, the constructed conclusion was that;

When energy from a battery is added to water, two streams of gas bubbles is said to be  produced. Then a lit match is put into  trapped gas from these two sources, one pops and the other glows brighter.

The study was to test the  flammability of gases produced by providing energy to water with electricity.

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Answer:

nun

Explanation:

Answer:

Godzilla

Explanation:

If the number of particles twice, the average kinetic energy of molecules in an ideal gas also doubles.

Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.

Everything we eat, drink, or use has energy. The inherent physiological processes of the body are fueled and controlled by energy. The more abrasive the environment, the more energy is required to maintain homeostasis, which is critical for cell and body tissue repair, muscle growth, and other functions.

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Answer: 6 N

Explanation: W (WORK) = 15 JOULES

                      S (DISTANCE) = 2.5 m

                       F (FORCE) = ?

              BY USING FORmULA OF WORK DONE

                     W = F.S

                      F =W/S

                      F = 15/2.5

                      F =  6 N

Answer: nebular hypothesis

Explanation:

The temperature of sweat when it is first produced is two degree more than normal temperature of the body because sweat removes extra heat from the body.

Our body begins to sweat when our body temperature goes up more than two degrees from normal which is 102 degree F. When you sweat, your body temperature drops back to the safe range which is 96.6 to 100.6 degrees F.

So we can conclude that The temperature of sweat when it is first produced is two degree more than normal temperature of the body because sweat removes extra heat from the body.

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Answer:

30MPH

Explanation:

30/5 = 6 x 5 = 30 mph

Answer:

(1) 30 g

(2) \(3.5316 \times 10^{-3}\) Joules

Explanation:

The unstretched length of the spring =30 cm

Assuming that the spring is linear.

(1) Let the mass of the sand be m kg. So, the gravitational force acting on the sand in the downward direction is mg N, which acts on the spring.

Due to the sand load, the length of the spring becomes 45 cm, so the extension in the spring, \(x_0\) = 45-30=15 cm = 0.15 m.

As the spring is linear, so

\(mg=kx_0\cdots(i)\)

where k is spring constant and g is the acceleration due to gravity.

When the 20 g mass is placed on the top of the sand, then the total load on the spring = m+0.02 kg

The gravitational force acting on the spring due to this load \(= (m+0.02)g\) N

As the length of the spring becomes 55 cm, so the extension in the spring, \(x_1\) = 55-30=25 cm = 0.25 m.

Now, \((m+0.02)g=kx_1\cdots(ii)\)

Dividing equation (ii) by (i), we have

\(\frac{(m+0.02)g}{mg}=\frac{kx_1}{kx_0} \\\\\frac{(m+0.02)}{m}=\frac{x_1}{x_0} \\\\1+\frac{0.02}{m}=\frac{x_1}{x_0} \\\\\frac{0.02}{m}=\frac{x_1}{x_0}-1 \\\\\)

On putting all the values, we have

\(\frac{0.02}{m}=\frac{0.25}{0.15}-1 \\\\\frac{0.02}{m}=\frac{2}{3} \\\\m=\frac{3}{2}\times 0.02 \\\\\)

m=0.03 kg = 30 g

Therefore, the mass of the sand is 30 g.

(2) Putting m=0.03 kg in the equation (i) to get the value of spring constant, k.

(0.03)g=k(0.15)

0.03 x 9.81 = k(0.15) [as g=9.81 m/\(s^2\)]

k=(0.03 x 9.81)/0.15

k=1.962 N/m

The spring is compressed from its original length to the length of 24cm, so the magnitude of change in length, x=30-24=6cm=0.06m.

So, the work done in compressing the spring,

\(w= \frac 1 2 k x^2\)

\(w=\frac 1 2 \times 1.962 \times 0.06^2\)

\(w=3.5316 \times 10^{-3}\) Joules.

Therefore the work done in compressing the spring is \(3.5316 \times 10^{-3}\) Joules.