billiard ball is rolled off of a table onto the floor below in projectile motion. If the speed at which the bowling ball left the table was 12m/s, then what is the x-component of the velocity of the bowling ball at the instant before it strikes the
ground?

The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.

Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.

The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.

In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..

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Answer: sound waves travel faster in solid than water or air.

In vacuum sound waves don't travel at all

Answer:

A: Sound travels faster through air

Explanation:

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C, the speed of sound in air is about 343 metres per second, or a kilometre in 2.9 s or a mile in 4.7 s.

First One, Bi (bismuth)

Answer:

A. magnetic field

Explanation:

The magnetic field is produced around a wire when an electrical current is in the wire because of the magnetic effect of the electric current therefore the correct answer is option A .

A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.

As given in the problem statement we have to find out what is produced around a wire when an electrical current is in the wire.

The magnetic field is produced as a result when an electrical current is passed through the conducting wire .

Option A is the appropriate response because a wire's magnetic field is created when an electrical current flows through it due to the magnetic influence of the electric current .

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Answer:

HACCP based food safety programs require accurate record keeping to be successful. Temperature is often the parameter of interest when monitoring a critical control point (CCP). ... To be considered accurate, a thermometer must be calibrated to measure within +/- 2° F (1.1° C) of the actual temperature.

Explanation:

Answer:

The angle of elevation of the rocket is increasing at a rate of 48.780º per second.

Explanation:

Geometrically speaking, the distance between the rocket and the observer (\(r\)), measured in kilometers, can be represented by a right triangle:

\(r = \sqrt{x^{2}+y^{2}}\) (1)

Where:

\(x\) - Horizontal distance between the rocket and the observer, measured in kilometers.

\(y\) - Vertical distance between the rocket and the observer, measured in kilometers.

The angle of elevation of the rocket (\(\theta\)), measured in sexagesimal degrees, is defined by the following trigonometric relation:

\(\tan \theta = \frac{y}{x}\) (2)

If we know that \(x = 5\,km\), then the expression is:

\(\tan \theta = \frac{y}{5}\)

And the rate of change of this angle is determined by derivatives:

\(\sec^{2}\theta \cdot \dot \theta = \frac{1}{5}\cdot \dot y\)

\(\frac{\dot \theta}{\cos^{2}\theta} = \frac{\dot y}{5}\)

\(\frac{\dot \theta\cdot (25+y^{2})}{25} = \frac{\dot y}{5}\)

\(\dot \theta = \frac{5\cdot \dot y}{25+y^{2}}\)

Where:

\(\dot \theta\) - Rate of change of the angle of elevation, measured in sexagesimal degrees.

\(\dot y\) - Vertical speed of the rocket, measured in kilometers per hour.

If we know that \(y = 4\,km\) and \(\dot y = 400\,\frac{km}{h}\), then the rate of change of the angle of elevation is:

\(\dot \theta = 48.780\,\frac{\circ}{s}\)

The angle of elevation of the rocket is increasing at a rate of 48.780º per second.

Answer:

Tension

Explanation:

Answer:D) tension

The constant acceleration of the train is 50/9 m/s².

The two balls will collide at a height of approximately 10.204 meters above the ground.

Using the kinematic equations of motion, we have:

distance = initial velocity * time + 1/2 * acceleration * time^2

For the first phase of acceleration, the initial velocity is zero, the time is 5 minutes = 300 seconds, and the distance traveled is unknown. So we have:

d1 = 0 + 1/2 * a * (300)^2

For the second phase of constant speed, the initial velocity is v, the time is 5 minutes = 300 seconds, and the distance traveled is also unknown. So we have:

d2 = v * 300

For the third phase of deceleration, the initial velocity is v, the time is also 5 minutes = 300 seconds, and the distance traveled is again unknown. So we have:

d3 = v * 300 + 1/2 * (-a) * (300)^2

The total distance traveled is the sum of these three distances:

distance = d1 + d2 + d3 = 1/2 * a * (300)^2 + v * 600 - 1/2 * a * (300)^2 = v * 600

Since the total distance traveled is given as 10 km = 10000 m, we have:

v * 600 = 10000

Solving for v, we get:

v = 10000/600 = 50/3 m/s

Now we can use the second equation above to find a:

d2 = v * 300 = (50/3) * 300 = 5000 m

Therefore, the constant acceleration of the train is:

a = 2 * (5000 - 1/2 * a * (300)^2) / (300)^2 = 50/9 m/s^2

The constant acceleration of the train is 50/9 m/s^2.

Problem 2: The height of the first ball dropped is given as 10m. Let's assume the height of the collision point is h meters above the ground.

Using the kinematic equation for free fall, we have:

h = 10 + 1/2 * g * t^2

where g is the acceleration due to gravity, which is approximately 9.81 m/s^2, and t is the time it takes for the second ball to reach the collision point after being thrown upwards.

The initial upward velocity of the second ball is 10 m/s, and we know that at the collision point, its velocity will be zero, since it will have reached its maximum height and will be momentarily at rest before falling back down.

Using the kinematic equation for motion with constant acceleration, we have:

0 = 10 + (-g) * t

Solving for t, we get:

t = 10/g = 10/9.81 seconds

Substituting this value of t into the first equation, we get:

h = 10 + 1/2 * 9.81 * (10/9.81)^2

Simplifying, we get:

h = 10.204 m

The two balls will collide at a height of approximately 10.204 meters above the ground.

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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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Although it is true that scientific models and hypotheses have been updated and improved over time, this is not sufficient justification to reject science as a whole or to doubt what scientists claim.

Models aid in our comprehension of systems and their characteristics. An atomic model, for instance, depicts what an atom's structure may like based on what is known about how atoms function. It may not accurately represent the precise makeup of an atom. Models are frequently condensed.

Over time, this atomic model has evolved. The model was used by scientists to make predictions. Their trials occasionally yielded unexpected outcomes that did not match the pre-existing model. The model was modified by scientists so that it could account for the fresh data.

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Answer: Law of conservation of mass

Explanation:

Answer:

1. A Skeletal System

2. D Musculoskeletal System

3. A Bone Marrow ( specifically red bone marrow where red blood cells produce and yellow bone marrow where fats and other tissues produce)

4. B Integumentary System

5. A Skin

6. C (Cerebellum is a part of the brain responsible for making postural adjustments in order to maintain balance).

7. C

8. B

9. A

10. D (Breathing was controlled by Medulla Oblongata)

11. A

12. B

13. B

14. Minerals specifically calcium and phosphorus.

Answer:

B

hmgzzvmfzfjlpdyktdkdtdk

Answer:

b

Explanation:

flgifidfididicudifidififificiduxididixuduxi

According to the question the tension in each wire is 1.96 N.

Tension is a term that describes the psychological and physical state of a person or system in which there is a high degree of stress, uncertainty, and anxiety. It is often associated with conflict and is often experienced when individuals or groups feel threatened or constrained in some way. Tension can be experienced in a variety of different contexts, from interpersonal relationships to the workplace. It can result from a variety of different factors, including a lack of communication, conflicting goals or expectations, and unmet needs.

The body is in equilibrium when the sum of all forces acting on it is equal to zero. In this case, the forces acting on the metal tube are the two wires and the weight of the tube due to gravity.

The tension in each wire is equal to the weight of the tube divided by the length of the tube. This is because the tube is suspended horizontally, so the forces in each wire must be equal in order to keep the tube in equilibrium.

Therefore, the tension in each wire is:

T = (9 kg × 9.8 m/s2) / (5 cm × 0.01 m)

= 1.96 N

Therefore, the tension in each wire is 1.96 N.

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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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According to Myers-Briggs, a charcteristic that is common to judging is  liking things settled and organized.

The term judging has to do with the quest for order and organization. It is one of the personality traits as outlined by Myers-Briggs.

The characteristic that is common among the people that exhibit the judging personality trait is liking things settled and organized.

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Answer:likes to have things settled and organized

Explanation:

bc I just took the test so ik it’s right

Answer:

1) A. .33 hr

2) B. 6ft

3) A. 58mi/hr

m = mass = 2kg

Diameter = 50 cm

radius= diameter /2= 50/2 = 25cm = 0.25m

w= angular velocity = 5 rad/s

L= I x W

I =2/5 * m*r^2 = 2/5 * 2 * 0.25^2 = 0.05 kgm^2

L= I x W = 0.05 * 5 = 0.25 kgm^2 / s

Answer:

false. the DEA does not approve this

In chemical reactions, the total mass of the components remains the same.

Chemical reactions involve the transformation of substances into new substances with different chemical properties. During these reactions, various changes occur, such as the rearrangement of atoms, the breaking and forming of chemical bonds, and the conversion of reactants into products. However, one fundamental principle that remains constant is the law of conservation of mass.

The law of conservation of mass states that matter cannot be created or destroyed in a chemical reaction. This means that the total mass of the reactants must be equal to the total mass of the products. No matter can be lost or gained during the reaction; it simply undergoes a rearrangement at the atomic or molecular level.

This principle holds true regardless of the complexity of the chemical reaction. Whether it involves simple reactions between two elements or complex reactions with multiple reactants and products, the total mass before and after the reaction remains constant.

This concept is vital in understanding stoichiometry, which is the quantitative relationship between reactants and products in a chemical reaction. By balancing chemical equations and applying the law of conservation of mass, scientists can determine the relative amounts of substances involved in a reaction.

Overall, while the physical and chemical properties of substances may change during a chemical reaction, the total mass of the components involved in the reaction remains constant.

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The two balls will reach the same maximum height, and will have the same range.

Answer:

The diameter of the hole increases

Explanation:

Metals expand and contract with temperature. Whenever metal is heated, it usually expands in relation to its thermal expansivity. This expansion leads to a slight increase in surface area.

Once the surface area of the metal changes, this means that the dimensions of the whole metal surface changed. As a result, the diameter of the hole drilled in the metal plate will change also. In our case, the diameter of the hole will increase.

Answer:

See below

Explanation:

The units of the specific heat hint at how to solve these types of problems

.88 J/(g-C)   * 10 g  *  (100- 50 C) = 440 J  

                                  ( see how the g and the C 'cancel out' ?)

On Mars, with an acceleration due to gravity of 3.71 m/s^2, the same falling mass of 15.0 kg would impart 55.6 J of kinetic energy to the rotating drum if it falls through the same height of 3.00 m, assuming all other factors remain the same.

The kinetic energy (K) imparted to the drum by the falling mass can be calculated using the formula:

where m is the mass of the falling object, and v is its velocity.

Since the object starts from rest, its initial velocity is zero, and we can simplify the formula to:

where u is the initial velocity of the falling object.

The potential energy (U) of the falling object is given by:

where g is the acceleration due to gravity and h is the height through which the object falls.

Since the potential energy is converted to kinetic energy, we can set U equal to K:

Simplifying the formula, we get:

Substituting the values given in the problem, we get:

Taking the square root of both sides, we get:

Using this velocity, we can calculate the kinetic energy imparted to the drum on earth:

To calculate the kinetic energy imparted to the drum on Mars, we can use the same formula, but with the acceleration due to gravity on Mars (3.71 m/s²):

Taking the square root of both sides, we get:

Using this velocity, we can calculate the kinetic energy imparted to the drum on Mars:

Therefore, the same falling mass of 15.0 kg would impart 55.6 J of kinetic energy to the rotating drum on Mars, which is less than the 350.0 J on earth due to the lower acceleration due to gravity.

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The rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.

The rate of radiation of the wooden stove is calculated as follows;

P =  εAσT4

Where:  

A = 2(Lw + Lh + Wh)

A = 2(0.75 x 1.2  +   0.75 x 0.4   + 1.2 x 0.4)

A = 3.36 m²

P = 0.85 x 3.36 x (5.67 x 10⁻⁸) x (478)⁴

P = 8,453.82 J/s

Thus, the rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.

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If metal is required to cast the cubical metal box, it would require 784cm3 of solid static electricity iron.

Unbalanced electric charge on such a material's surface is known as static electricity. In contrast for dynamic (moving) electricity, which takes the shape of electric currents, static electricity is defined as being fixed or immovable. A typical atom is neutral, meaning it has an equal number of protons and electrons.

Although static electricity does not directly endanger human life, it can nonetheless shock us and, if we were on an elevated surface, might inflict serious injuries.

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Hi there!

A)

At this point, the pilot is experiencing a DOWNWARD NET centripetal force (ALWAYS points towards the center of the circle) as well as a downward force due to gravity. Additionally, we can say that the normal force exerted by the seat on the pilot is its apparent weight.

\(\Sigma F = F_g + F_N\)

**The net force is the centripetal force.

We can assign both to be positive since they work in the same direction. (Assigning down as positive in THIS situation will make things easier).

We know that:
\(F_c = \frac{mv^2}{r}\)

Fc = Centripetal force (N)
m = mass (kg)
v = velocity (m/s)

r = radius (m)

\(F_g = mg\)

Fg = Force due to gravity (N)
m = mass (kg)
g = acceleration due to gravity (9.81 m/s²)

Solve for mass. (Given weight)

\(m = \frac{F_g}{g}\\\\m = \frac{719}{9.8} = 73.367 kg\)
Now, we have everything we need to solve.

\(\frac{mv^2}{r} = F_g + F_N \\\\\frac{mv^2}{r} - F_g = F_N\\\\F_N = \frac{(73.367)(225^2)}{3110} - 719 = \boxed{475.278 N}\)

B)
Weightlessness is achieved when the pilot is in free fall. In this instance, FN (Normal force by the seat) = 0 N.

We can use the same setup as above.

\(\frac{mv^2}{r} = F_g + 0 (F_N)\)

\(\frac{mv^2}{r} = mg\)

Solve for 'v'.

\(\frac{v^2}{r} = g\\\\v = \sqrt{gr} = \sqrt{(9.81)(3110)} = \boxed{174.669 \frac{m}{s}}\)

C)
At the BOTTOM, we have the force of gravity working DOWNWARD (Negative in this instance), while the centripetal force (NET FORCE) and normal force are upward (Positive). Do another summation of forces:
\(\Sigma F = F_N - F_g\\\\\\frac{mv^2}{r} + F_g = F_N \\\\F_N = \frac{(73.367)(225^2)}{3110} + 719 = \boxed{1913.278 N}\)

Based on the description provided, the diagram that correctly illustrates the movement of the ball from the child's perspective is C.

Considering the child is rotating and he or she catches the ball some seconds after throwing it, it can be concluded the trajectory is closed, which means the diagram should show the ball returning to the initial point.

Based on the above, diagrams A and B are not possible because the ball is not retruning to the child.

Considering the child is moving at a constant speed and in a defined circular area, it is expected the movement resembles a circle; however as the ball will be affected by a leftward force in case the child is moving clockwise the movement will not be exactly a circle. Based on the above, the best option is diagram C.

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1. The force between the two charges is 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of 10 gauge aluminum wire over a 40 ft distance would be 0.506 ohms.

3. The cost of electricity from the automobile battery is 38.6 cents per kWh.

4. The current that would be carried through the body is 0.8 mA if dry.

1. The force between two point charges can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Using the values given, the force can be calculated as F = (k * q1 * q2) / r², where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them. Plugging in the values, the force can be calculated as 1.78 × 10⁻⁵ pounds, with opposite signs indicating attraction between the charges.

2. The resistance of a wire is determined by its length, cross-sectional area, and resistivity. The resistivity of aluminum is higher than that of copper, so a larger cross-sectional area is required to achieve the same resistance. Using the gauge size conversion chart, 10 gauge aluminum wire has a cross-sectional area of 5.26 mm², which is approximately 83% of the cross-sectional area of 12 gauge copper wire.

Thus, the resistance of 10 gauge aluminum wire over a 40 ft distance can be calculated as R = (rho * L) / A, where rho is the resistivity of aluminum, L is the length, and A is the cross-sectional area. Plugging in the values, the resistance can be calculated as 0.506 ohms.

3. To calculate the cost of electricity per kWh, the total cost and the total amount of energy supplied must be known. Since the battery supplies 12 V and 51 A for one hour, the total energy supplied can be calculated as E = V * I * t, where V is the voltage, I is the current, and t is the time.

Plugging in the values, the total energy supplied can be calculated as 612 watt-hours (Wh). Since one kWh is equal to 1000 Wh, the total energy supplied can be converted to 0.612 kWh. Dividing the total cost by the total energy supplied gives the cost per kWh, which is 38.6 cents.

4. The current through the body can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance. Using the values given, the resistance can be either 100,000 ohms or 300 ohms depending on whether the skin is dry or wet.

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