the output emf of a generator is given by v (t) = a sin(ω t), where a = 130 v. find the rms current in the circuit when this generator is connected to a 81.4 ω resistor. answer in units of a.\

Answer: I believe the answer is C

Explanation:

Cars are composed of hundreds of simple machines

The final momentum of the skater is 3.77 m/s.

Momentum is the product of mass and acceleration. Recall that the principle of conservation of linear momentum states that total momentum before collision must equal the total momentum after collision.

Thus;

(50 Kg × 0 m/s) + (55Kg ×  7.2m/s) = (50 Kg + 55Kg) v

v =  (55Kg ×  7.2m/s)/(50 Kg + 55Kg)

v = 396/105

v = 3.77 m/s

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Answer:

\(\huge\boxed{\sf PE = 1.6 \times 10^{-8} \ J}\)

Explanation:

Charge = Q = 8 × 10⁻¹⁰ C

Potential Difference = V = 40 V

Potential Energy = PE = ?

\(\displaystyle PE=\frac{1}{2} QV\)

Put the given data in the above formula for electrical potential energy.

\(\displaystyle PE = \frac{1}{2} (8 \times 10^{-10})(40)\\\\PE = (8 \times 10^{-10})(20)\\\\PE = 160 \times 10^{-10}\\\\PE = 1.6 \times 10^{-8} \ J \\\\\rule[225]{225}{2}\)

Electrical potential energy stored in the capacitor that has 8.0 x \(10^{-10}\) C of charge on each plate and a potential difference across the plates of 40.0 V will be 1.60×\(10^{-8}\) J.

As we know from the formula of potential energy,

Electrical Potential Energy(P.E.) = \(\frac{1}{2} Q V\)

where, Q= Charge on the plates (in Coulombs)

            V= Potential Difference between the charged plates( in Volts)

Substituting the values in the above formula,

P.E.=  \(\frac{1}{2} Q V\)

     = \(\frac{1}{2}(8.0 *10^{-10} )(40.0)\)

     = 1.60 x \(10^{-8}\) C/V or  1.60 x \(10^{-8}\) J

Capacitors are commonly used to store electrical energy and reuse it whenever needed. They store energy in the form of electrical potential energy. When capacitors are charged, an electrical potential difference builds up between the plates of the capacitors and subsequently electrical potential energy. This energy can be further used for various purposes.

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To find the mass of the aluminum cube, we can use the formula Q = mc∆T, where Q is the heat transfer, m is the mass, c is the specific heat capacity, and ∆T is the temperature change. We know that Q = -815.7 J, c = 0.897 J/g•K, and ∆T = 325 K - 301 K = 24 K. Solving for m, we get:

Therefore, the mass of the aluminum cube is -37.9 g.

Aluminum is a chemical element. The symbol for aluminum is Al, and its atomic number is 13. Aluminum is the most abundant metal. Aluminum is not a heavy metal, but it is an element that accounts for about 8% of the earth's surface and is the third most abundant.

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The given statement '' Electronic energies are negative while translational, rotational and vibrational energies are positive '' is true.

This statement is generally true because Electronic energies in atoms, molecules, and solids are usually negative. This is because they represent the energy required to remove an electron from its lowest energy state (ground state) to a higher energy state (excited state) which is further away from the positively charged nucleus. Since the electron and the nucleus have opposite charges, the electron is bound to the nucleus by an attractive force, and it takes energy to move it farther away from the nucleus. Therefore, the energy required to remove an electron is negative.

On the other hand, translational, rotational, and vibrational energies are usually positive. Translational energy refers to the kinetic energy of the motion of an object in space, and it is always positive because it depends on the square of the velocity. Similarly, rotational energy refers to the kinetic energy of the rotation of an object around an axis, and it is also positive because it depends on the square of the angular velocity. Vibrational energy refers to the kinetic energy associated with the vibration of atoms or molecules within a material, and it is positive because it depends on the square of the amplitude of the vibration.

Hence, Electronic energies are negative while translational, rotational and vibrational energies are positive.

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Explanation:

M1U1+m2u2 = (m1+m2)vf

m1= 10kg

u1=5

m2=25

u2=0

vf=?

10×5+25×0=35 vf

50+0=35Vf

Vf=1.4m/s

Answer:

Gravitational potential energy

Explanation:

PE = m*g*h

m = mass

g = 9.81m/s², acceleration of gravity

h = height

So m and g stay the same but the height can change so the higher you go the higher the Gravitational potential energy.

Placing a soccer ball on the top shelf increases the Gravitational potential energy

In a gravitational field the energy possessed by an object due to a change in its position called as gravitational potential energy, it is an energy that is related to gravitational force or to gravity.

When a mass of the body  (m) is moved from infinity to a point inside the gravitational influence of a source mass (M) in absence of acceleration and the amount of work done in displacing it into the source field is stored in the form of potential energy denoted with the symbol Ug.

when external force is applied, then the  position of the body changes potential energy is equal to the amount of work done on the body by the forces.

The gravitational influence on a body at infinity is zero, then the  potential energy is zero, PE = m*g*h where m = mass, g = 9.81m/s², acceleration of gravity, h = height

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Answer

Explanation:

the kinetic energy is twice the amount of potential energy.

The answer for Eating food from a uranium glass plate is safer is Choice C which is food is irradiated / not contaminated.

It is safer to eat food from a uranium glass plate because the uranium added to the glass will always be in the oxidized form used to color it. The uranium added to the glass will also be not soluble thus it will not be radioactive.

Thus, the reason for eating food safely from the uranium glass plate is it will not be contaminated

The other two options(alpha cannot penetrate skin or body and contains a low percentage of uranium) will be wrong because the plate will be completely non-radioactive.

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Answer:

Explanation: Roller coasters are an excellent example of how science and energy transformation can be used to create an exciting and thrilling experience for riders. The design of roller coasters utilizes the principles of physics to create the twists, turns, and drops that riders experience.

One of the key scientific concepts used in roller coaster design is energy transformation. Roller coasters start with potential energy, which is the energy stored in an object due to its position or state. The potential energy in a roller coaster comes from the height it is lifted to at the start of the ride. As the roller coaster begins its descent, the potential energy is transformed into kinetic energy, which is the energy of motion.

During the ride, the roller coaster's energy is constantly being transformed from potential energy to kinetic energy and back again. As the roller coaster climbs a hill, it gains potential energy, which is then transformed into kinetic energy as it speeds down the hill. When the coaster reaches the bottom of a hill or a loop, it has the maximum kinetic energy, which is then transformed back into potential energy as the coaster climbs the next hill.

In addition to energy transformation, roller coasters also rely on other scientific principles, such as friction, gravity, and centripetal force, to create a thrilling ride. For example, the coaster's wheels and track are designed to minimize friction, which allows the coaster to travel faster and more smoothly. The coaster's drops and turns use gravity and centripetal force to create the feeling of weightlessness and acceleration.

Overall, roller coasters are an excellent example of how science and engineering can be used to create thrilling experiences that rely on principles of energy transformation and other scientific concepts.

I hope this helped

The force of nature that can pull a vehicle down a hill faster than anticipated is gravity.

Gravity is the natural force of attraction between objects with mass. The force of gravity is the force of nature that can pull a vehicle down a hill faster than anticipated. Gravity acts as an accelerating force that pulls objects towards the center of the Earth, causing them to gain speed when moving downhill. If the slope of the hill is steep or the vehicle's braking power is insufficient, gravity can cause the vehicle to accelerate more rapidly than expected, potentially leading to a loss of control or higher speeds than anticipated.

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Answer:

  875

Explanation:

The digits more significant than the last two integer digits are dropped from the pressure reading placed on the upper right of the station model. Generally, the dropped digits will be 9 or 10.

987.5 mb would be recorded as 875 on the model.

The metaphor (object) that shows how Aristotle's Three Artistic Proofs hold up one's argument is a stool. The correct option is 1.

The Three Artistic Proofs are Aristotle's fundamental concepts of argument that build a convincing case when utilized together:

Ethos: It is the ethical appeal; it establishes credibility with an audience.

Pathos: This refers to the emotional appeal; it appeals to the audience's emotions and sentiments.

Logos: It is the logical appeal; it uses reasoning and logical argument to persuade and convince the audience.

The metaphor (object) that shows how Aristotle's Three Artistic Proofs hold up one's argument is a stool. A stool is a three-legged object that can stand on its own with each leg equally supporting the weight. It is like the three artistic proofs, which are required in a good argument to hold it up. Without one of the three legs, the stool would be unstable and would fall apart. This metaphor is commonly used to explain how the three artistic proofs work together to build a convincing case. Option 1.

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The statement that is true is that; nuclear fission is used to produce electric power in nuclear reactors.

We know that a fission reaction has to do with a kind of reaction in which a radioactive nucleus is bombarded by the use of a particle and then there is the disintegration of the atomic nucleus in order to produce energy.

This has been one of the ways by which we can be able to generate electricity in several power plants across the world. The loss in the mass of the reactants is the equivalent of the energy produced.

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Explanation:

It obeys the inverse square law.

It is always attractive in nature.

It is a long range force. ...

The graviton is the field particle of gravitational force.

Answer:

Gravitational force−Properties:

(1) It is a universal attractive force. It is directly proportional to the product of the masses of the two bodies.

(2) It obey inverse square law.

(3) It is the weakest force known in nature.

Answer:

The President can issue executive orders, which direct executive officers or clarify and further existing laws.

The President also has the power to extend pardons and clemencies for federal crimes.

Explanation:

The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.

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The common angular speed is 6.5 x 10^⁻⁴ rad/s

To calculate the common angular speed of the reels during play, we need to first determine the linear speed of the tape on the outer reel. We can use the formula:

Linear speed = tape length / play time

So the linear speed of the tape on the outer reel is:

Linear speed = 281 m / (2 h * 3600 s/h)

                       = 0.078 m/s

Then we can use the formula for linear speed to find the angular speed:

Linear speed = angular speed x radius

So the angular speed of the outer reel is:

Angular speed = Linear speed / radius

= 0.078 m/s / (45 mm / 1000 m/mm)

= 1.7 x 10^⁻⁴ rad/s

The inner reel radius is 12mm, so the angular speed of the inner reel is:

Angular speed = Linear speed / radius

= 0.078 m/s / (12 mm / 1000 m/mm)

= 6.5 x 10^⁻⁴ rad/s

This is the common angular speed of the reels when both have the same angular speed.

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To complete an equilateral triangle with two fixed electrons initially separated by 4.00 μm, the work required to bring a third electron from infinity can be calculated as twice the potential energy between the fixed electrons, which is given by 2 * k * (q^2) / (4.00 μm), where k is the electrostatic constant and q represents the charge of the electrons.

To calculate the work required to bring a third electron in from infinity to complete an equilateral triangle with two fixed electrons, we can use the principle of conservation of energy.

Initially, the third electron is at infinity, so its potential energy is zero. As it is brought closer, work must be done against the repulsive force between the electrons.

The potential energy of a system of two charges can be given by the equation U = k * (q1 * q2) / r, where k is the electrostatic constant, q1 and q2 are the charges, and r is the separation between them.

In this case, since the electrons have the same charge (let's assume q), the potential energy between any two electrons is given by U = k * (q^2) / r.

Since the separation between the fixed electrons is 4.00 μm, the potential energy between them is U = k * (q^2) / (4.00 μm).

To complete the equilateral triangle, the third electron will also be separated by 4.00 μm from each of the fixed electrons.

Hence, the total potential energy of the system will be 2 times the potential energy between the fixed electrons.

Therefore, the work required to bring the third electron from infinity to complete the equilateral triangle is 2 * U = 2 * k * (q^2) / (4.00 μm).

Note: The value of the electrostatic constant, k, is approximately 8.99 x 10^9 N m^2/C^2.

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Using a cable with a tension of 1350 N , a tow truck pulls a car 5.00 km alone a horizontal roadway. Therefore,

(a) Cable work: 6,750,000 J horizontally.

(b) Cable work: 6,308,250 J at 35.0° above horizontal.

(c) No work by gravity.

To calculate the work done by the cable in each scenario, we need to consider the angle between the direction of the force applied and the displacement.

(a) If the cable pulls horizontally (0° above the horizontal):

In this case, the angle between the force and the displacement is 0 degrees, so the work done can be calculated as:

Work = Force * Displacement * cos(Ф)

Work = 1350 N * 5000 m * cos(0°)

Work = 1350 N * 5000 m * 1

Work = 6,750,000 J

The cable does 6,750,000 Joules of work on the car when it pulls horizontally.

(b) If the cable pulls at 35.0 degrees above the horizontal:

In this case, the angle between the force and the displacement is 35.0 degrees, so the work done can be calculated as:

Work = Force * Displacement * cos(Ф)

Work = 1350 N * 5000 m * cos(35.0°)

Work = 1350 N * 5000 m * 0.819

Work = 6,308,250 J

The cable does approximately 6,308,250 Joules of work on the car when it pulls at 35.0 degrees above the horizontal.

(c) The work done by gravity on the car is zero because gravity acts vertically downward, perpendicular to the displacement along the horizontal roadway. Therefore, the gravitational force does not contribute to the work done on the car in this scenario.

In both cases (a) and (b), the cable does the same amount of work on the tow truck as on the car since they are connected by the cable. So the work done by the cable on the tow truck would be equal to the values calculated above: 6,750,000 J in case (a) and 6,308,250 J in case (b).

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The positions of the pendulum, from left to right, are A, B, C, D, and E, with C representing the central or equilibrium position. The labeling indicates the order and spacing of the positions in the pendulum's motion during its oscillation.

The image depicts a pendulum undergoing simple harmonic motion. The pendulum starts at position A and swings to position E. There are five different labeled positions in the illustration:

The central position or equilibrium position is labeled as C. This is the point where the pendulum comes to rest momentarily, with its maximum potential energy and zero kinetic energy.

On the left side of the equilibrium position, there are two positions labeled as A and B. These positions are equally spaced from the equilibrium position, with A being closer to the maximum displacement from C.

On the right side of the equilibrium position, there are two positions labeled as D and E. Similar to positions A and B, these positions are also equally spaced from the equilibrium position, with E being farther from the maximum displacement from C.

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Excess electrons that does this person get is -2.87 × 10^14 electrons. Her mass increase by 1.466 × 10^-29 kg.

When a person scuffs her feet on a wool rug on a dry day, she accumulates a net charge of -46 µC. To determine the number of excess electrons that the person obtains, we will use the formula for net charge.

q = ne

Where q is the net charge, e is the charge of one electron and n is the number of electron

Therefore, the number of excess electrons that the person gains is, n = q/e

e = 1.602 × 10^-19 C (charge of one electron)

n = -46 × 10^-6 C/ 1.602 × 10^-19 C/electron

= -2.87 × 10^14 electrons

Her mass increase can be calculated using Einstein's famous equation,

E = mc^2

where, E is the amount of energy released when matter is converted into energy, m is the mass of the object and c is the speed of light

We know that when the electrons are gained, the mass of the person will also increase. The amount of energy released from the mass change can be calculated using Einstein's equation,

E = Δmc^2

where Δm is the change in massc is the speed of light

Einstein's famous equation for matter and energy transformation states that E = mc² which means that matter can be converted into energy or vice versa.

Therefore, the amount of energy released from the mass change can be calculated using Einstein's equation, E = Δmc². Δm is the change in mass of the person.

We know that c = 3.0 × 10^8 m/s.

Therefore, the change in mass can be calculated as,

Δm = E/c²= (-46 × 10^-6 C)(1.6 × 10^-19 J/C) / (9 × 10^16 m²/s²) = -1.466 × 10^-29 kg

The mass of the person increases by 1.466 × 10^-29 kg.

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Answer:

The answer is below

Explanation:

The main difference between a liquid and a gas is that when a liquid is under pressure, its volume "won't change apparently. The reason is that the distance between the molecules of a liquid is relatively small, and the molecules of a liquid extensively withstand the compressive forces. This is similar to the distance between the molecules of a solid."

Answer:

Taking forces along the plane

F cos θ - M g sin θ -100 = M a       net of forces along the plane

F = (M a + M g * .5 + 100) / .866     solving for F

F = (80 * 1.5 + 80 * 9.8 * .5 + 100) / .866 = 707 N

F = 707 N acting along the plane

Fn = F sin θ + M g cos θ       forces acting perpendicular to plane

Fn = 707 * 1/2 + 80 * 9.8 * .866 = 1030 Newtons   forces normal to plane

(this would give a coefficient of friction of 100 / 1030 = .097 = Fn)

Answer:

Chemical Potential Energy Energy

Energy is the capacity for doing work or supplying heat. When you fill your car with gasoline, you are providing it with potential energy. Chemical potential energy is the energy stored in the chemical bonds of a substance.J

Explanation:

The spring constant with the given data on the period v. mass can be found to be  1. 86.

The spring constant, also known as the force constant or spring stiffness, is a measure of the stiffness of a spring. It is denoted by the letter k and is defined as the amount of force required to stretch or compress a spring by a certain distance (usually measured in meters or centimeters).

When given on a graph, the spring constant is the slope of the line in the graph. The slope of the given line would be the constant that multiplies the independent variable ( x ) which in this case is 1. 86 from the formula :

Period ( s ²) = 1. 86x + 0.0545

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Answer:

the last option is correct

Explanation:

Newton's third law of motion , the ground will exact the equal opposite force the rubber ball