The following nuclei are observed to decay by emitting an α particle: 21284Po and 23994Pu.
Part A
Write out the decay process for 21284Po.
Express your answer as a nuclear equation.
Part B
Determine the energy released in this reaction. Be sure to take into account the mass of the electrons associated with the neutral atoms.
Express your answer using three significant figures.
E = MeV
Part C
Write out the decay process for 23994Pu.
Express your answer as a nuclear equation.
Part D
Determine the energy released in this reaction.
Express your answer using three significant figures.
E = MeV

Answer:

(a) The time interval required for the proton to travel 4.50 cm horizontally is

t = (4.50 cm) / (3.80 x 105 m/s) = 118.42 ns

(b) The vertical displacement of the proton during the time interval is

dY = (F × t2) / 2m = (9.20 x 103 N/C × (118.42 ns)2) / (2 × 1.67 x 10-27 kg) = 0.0033 mm

(c) The horizontal and vertical components of the velocity after the proton has traveled 4.50 cm horizontally are

Vx = 3.80 x 105 m/s

Vy = (F × t) / m = (9.20 x 103 N/C × 118.42 ns) / (1.67 x 10-27 kg) = 1.90 x 105 m/s

Force is positive if the mass accelerates downward. Use the formula T = M x A to determine the tension in the rope.

That direction is the pull that is referred to as tension. As a result, the tension will point toward the string or rope and away from the mass.

A mass suspended by a string is pulled upward by the string, exerting an upper force that shifts the tension to the upper side.

For instance, you should know that T = 9g x 2m/s2 = 18gm/s2 or 18N when trying to calculate T in a straightforward pulley system with a linked mass of 9g and an upward acceleration of 2m/s2 (newtons). The direction in which a string expands changes when it passes over an ideal massless pulley, but the string's tension is unaffected.

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You and your friend will have the same potential energy at the top of the tower because gravitational potential only depends on height and not on how an object got there.

The power that a substance retains as a result of its position in relation to other things, internal pressures, electric charge, or other substances is known as potential energy in physics. Potential energy is a form of energy that is stored but is dependent on the interactions of different system components.

A steel ball has more potential energy if it is raised above the ground as opposed to dropping to it. The energy that is present in everything that is raised from rest and has the potential to be released at a later time is known as potential energy.

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(a) The potential energy of the system to the conservative force acting on the particle, with Ui=0:

(b) From (a), U(2.00m)=2A–2.67B, and U(3.00m)=4.5A–9B.

ΔU=(4.5A−9B)−(2A−2.67B)=2.5A−6.33B

(c) For the entire system of which this particle is a member, this work is internal work and equal to the negative of the change in potential energy of the system: ΔK=−ΔU=−2.5A+6.33B.

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Correct option is A, A heavy truck and a small truck roll down a hill. Neglecting friction, at the bottom of the hill the heavy truck has greater acceleration.

Momentum and mass are directly proportional in direction. This is so because mass times velocity make up the equation for momentum. Another way to express this is as p = m*v, where p stands for momentum, m for mass, and v for velocity. As a result, momentum doubles if mass is increased by a factor of two but velocity remains constant.

p = m v . The equation demonstrates that momentum is directly related to an object's mass (m) and velocity (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.

The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. The amount of motion and the speed of the motion are the two factors that determine how much momentum an item possesses.

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Yes, the center of the Milky Way is the most densely populated area of stars, and is therefore the most likely region to find newly formed stars.

What is the populated?

Populated refers to an area that has a large number of people residing in it. It is usually used to describe cities, towns, or other densely populated areas. Populated areas usually contain a variety of services and infrastructure to support their populations, such as schools, hospitals, transport links, and other amenities. Populated areas usually have higher rates of crime, pollution, and other problems associated with increased human activity.Populated refers to an area that has a high density of people living in it. It is usually used to describe cities and towns, but can also describe smaller areas, like neighborhoods.

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Answer:

i think the answer is a

Explanation:

hope i am right

The value W' along inclined plane = (150 sin α ) N

W = m x g = 150 N --> based on case

W = weigth

m = massa

g = gravity acceleration

Fn = Normal force

Fn = m x g x cos α = W cos α = 150 N x cos α

W’ = m x g x sin α = W sin α = 150 N x sin α

Since the angle α is not known it will be still variable, so we could say that the W’ = (150 sin α ) N

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To find the average speed of the cyclist, we need to divide the distance traveled by the time it took to travel that distance. So we would divide 100 meters by 40 seconds, which gives us 2.5 meters per second. This is the average speed of the cyclist.

Answer:

The Average Speed is 2.5metres per second

Explanation:

Using Distance,Time,Speed Triangle,

[tex]S = \frac{D}{T}[/tex]

[tex]S = \frac{100}{40}\\[/tex]

[tex]S = 2.5[/tex]

Hence ,  the average speed is 2.5m/s

Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.

Explanation:

Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.

After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J

This is the kinetic energy of the body after 3 seconds of falling.

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In the given reaction, 2Mg(s) + O₂ (g) → 2MgO (s), 88.7 kJ of energy will be released.

The reaction 2Mg(s) + O₂ (g) → 2MgO (s) involves the release of energy from the system and hence it is an exothermic reaction. 21.2 kcals of energy is released from this reaction.

21.2 kcals = 21.2 × 10³ calories

1 cal = 4.184 J

For 21.2 × 10³ calories,

21.2 × 10³ cal × 4.184 = 88.70 × 10³ cal

To convert J to kJ, we divide it by 10³

88.70 × 10³ / 10³ = 88.70

Rounding off to nearest tenths, the amount of energy released by the given reaction in kJ = 88.7 kJ

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R is the radius of speed curvature of the turn, g is the acceleration due to gravity, and μs is the coefficient of static friction.

θ is the angle of banking. For no slippage to occur even when the contribution of the frictional force in the centripetal force is not considered, we ignore the effect of friction and get the Time. Well, if the radius must be a single measurement, then the turn will be perpendicular.

While you're gathering necessary data, there's a discrepancy in your Average speed. Unless there are also tighter or unbanked turns, it's difficult to imagine the average speed=cornering speed.

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A buildup of nitrogen in the atmosphere can result in pollutants like ozone and ammonia, which can reduce visibility, interfere with plant growth, and harm our capacity to breathe.

"Human nitrogen additions to the soil, in the form of fertilisers, strengthen the greenhouse effect: approximately 60% of nitrous oxide is emitted from fertilised fields, manures, and other agricultural sources," claims Mahesh Pradhan, a nutrient pollution specialist with the UN Environment Programme (UNEP).

AUSTRIA (Thomson Reuters Foundation) - Scientists said on Wednesday that rising nitrogen-based fertiliser use is raising emissions of a greenhouse gas 300 times more potent than carbon dioxide, endangering attempts to keep global warming within globally set limits.

With over 75% of all greenhouse gas emissions and almost 90% of all carbon dioxide emissions coming from fossil fuels like coal, oil, and gas, they are by far the biggest cause of climate change in the world.

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The momentum of the rock by the student is 0.500kgm/s.

Momentum -

momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum. Check out Newton's laws of motion.

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).

Momentum = Mass × Velocity

Momentum of rock = 0.500 × 1

= 0.500kgm/s

Momentum of Boy = 45 × 0 [As boy is at rest so, he has 0 momentum]

Momentum of boy = 0

Total Momentum = Momentum of rock + Momentum of boy

= 0.500 + 0

= 0.500 kgm/s

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The velocity of the bike is 2.57 m/s. Then the kinetic energy of the 44 kg mass is 145.3 J.

Kinetic energy of an object is generated by virtue of its motion. Kinetic energy is related to the mass and velocity of the object by the expression written below:

Ke = 1/2 m v²

Given the distance travelled = 1.70 km = 1700 m

time taken = 11 min = 660 s

then velocity = distance/ time = 1700 /660 = 2.57 m/s

Total mass = 44 kg

Ke = 1/2 44 Kg × (2.57)² = 145.3 J

Therefore, the kinetic energy of Shawn and his bike is 145.3 J

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the orbital period is  7200sec or 2hours and orbital speed is 7,27m/s

(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:

T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)

Simplifying, we get:

T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)

T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)

T = 7200 sec (or 2 hours)

(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T

Plugging in the values of a and T we get :

v = 2π (2.0 x 10^7 m) / 7200 sec

v = 7,27 m/s

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The impulse that the pelton wheel applies to the water is equal  to the change in momentum of the water after hitting the flat paddle wheel.

Impulse is a measure of the force applied to an object over a period of time, and it is equal to the change in momentum of the object.

In the case of the pelton wheel, the force is applied to the water by the flat paddle wheel, and the change in momentum of the water is the result of that force.

Therefore, The impulse of the pelton wheel is therefore equal to the change in momentum of the water after it hits the paddle wheel.

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Answer:

2.58 m/s

Explanation:

To determine the theoretical speed at which the golf ball must have left the floor, you can use the principle of conservation of energy, which states that the total energy in a closed system remains constant. In this case, we can use the fact that the ball's potential energy changes as it rises and falls.

First, we know that the efficiency of the ball is 61.0%, so we can assume that 39% of the energy is lost as heat, sound, etc. We can calculate the initial kinetic energy (Ei) of the ball as:

Ei = Efficiency * (Initial Potential energy - Final Potential energy)

Ei = 0.61 * (0.444 - 0.271) = 0.119J

Now, we can use this value to calculate the velocity (Vi) of the ball as it left the floor, by using the equation of kinetic energy:

Ei = 0.5 * m * Vi^2

Where:

m = mass of the ball = 0.0453 kg

Vi = velocity of the ball when it left the floor

By substituting the values in the equation we get:

0.119 = 0.5 * 0.0453 * Vi^2

Solving for Vi:

Vi = sqrt(0.119 / (0.5 * 0.0453))

Vi ≈ 2.58 m/s

So, the theoretical speed with which the ball must have left the floor is approximately 2.58 m/s

Keep in mind that this is a theoretical speed and there may be a variance with real-world observations.

The similarities and differences between static stretching and dynamic stretching are the dynamic stretch is a style of stretching that is more strenuous and physically stimulating, while the static stretch is a form of stretching that is slower and more relaxing.

Another difference between static and dynamic stretching is that after a dynamic stretch, you may feel stronger and have more muscle endurance and speed, whereas static stretching before an exercise diminishes these same qualities; To get the most out of your workout, perform dynamic stretching before you begin, and static stretching afterward. Static and dynamic stretching have similar benefits in lowering the risk of injury by increasing flexibility, balance, and body awareness.

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Answer:

it should be 23.1

Explanation:

You have to look at the scale and then you calculate it

The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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The freight car which is being dumped into the metal scrap has the final velocity of 0.18 m/s.

In this problem, we use the principle of conservation of linear momentum.

Given that,

Mass of the freight car m₁ = 30,000 kg

Mass of the hopper m₂ = 110,000 kg

Velocity of the freight car u₁ = 0.85 m/s

Velocity of the hopper u₂ = 0

Let the velocity of the loaded freight car = v

We need to find out v.

m₁ u₁ + m₂ u₂ = ( m₁ + m₂) v

After putting the values into the equation above, we have,

30,000 × 0.85 + 110,000 × 0 = (30,000 + 110,000) v

140,000 v = 25500

v = 0.18 m/s

Thus, the required velocity of the loaded freight car is calculated to be 0.18 m/s.

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Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.

The earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.

Two magnets have more potential energy when they are held apart than when they are near to one another. They will migrate near each other and begin working if you let them go.

The force acting on the two objects affects the potential energy formula. P.E. = mgh, where m is the mass in kilograms and g is the acceleration due to gravity, is the formula for gravitational force.

Therefore, Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.

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Answer:  1580 J

Explanation:

Energy is in the form of gravitational potential energy. (GPE)

GPE = mgh , where m is the mass of the block, h is the height and g is the gravitational constant of 9.81 ms-2.

Hence,

Total energy = mass x gravitational constant x height

                      = Weight x height (since W = mg)

                      = 79 x 20 J

                      = 1580 J

Answer:

The total amount of energy necessary to carry out this process is 22600 joules (J).

Explanation:

This is because the heat of vaporization (the energy required to change the state of water from liquid to gas) of water is 2260 J/g. Since 10.0 g of water is being heated, the total amount of energy needed is 10.0 g * 2260 J/g = 22600 J.

Sometimes in phase and sometimes out of phase.The voltage across the resistor and generator will depend on the phase difference between the current and voltage in the circuit.

The voltage across the resistor and generator will depend on the phase difference between the current and voltage in the circuit. If the phase difference is 0°, then the voltage across the resistor and generator will be in phase. If the phase difference is 180°, then the voltage across the resistor and generator will be out of phase. In any other scenario, the voltage across the resistor and generator will be somewhere in between in phase and out of phase.

Sometimes in phase and sometimes out of phase.

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The truck exerts more force on the mosquito than the mosquito exerts on the truck is true during the collision.

What is the exerts?
Exerts is a term used to describe a passage or an extract taken from a larger piece of writing. Exerts are often used to showcase a specific part of a work and can be used to highlight the most important or influential passages. Exerts can be used to support or illustrate an argument, and can be used to provide evidence for a point that is being made. Exerts are often found in essays, scholarly articles, and other forms of writing, and are a useful tool for authors to draw attention to certain points or ideas.

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These are just personal definitions of the following. They aren't official ones that may come from your textbook, but they are still accurate.

a. Friction is a force that acts against forces in contact with an object.

b. Sliding Friction is a force that acts against the forces making an object slide (e.g. the y component of the object's weight force if it's on an incline)

c. Static Friction is a force that acts on an object that is still/not moving.

d. Rolling Friction is the force making an object roll.

e. Air resistance is a frictional force that acts to slow down a falling object.

f. Terminal velocity is the maximum an object can reach while in free fall due to air resistance.

g. Gravity is a mutual attractive force in between two objects.

h. Weight is the mass of an object multiplied by the gravitational force (usually 9.81 for objects on earth). Weight is a force acting against the normal force keeping objects from phasing through each other.

i. Centripetal force is a force that acts on an object that is turning. This force pulls the object to the outside of the turning track.

j. Momentum is defined by mv (mass times velocity). Momentum is not a force, it is the idea that the motion of an object can depend on its mass and velocity.

I would check official dictionaries, just to make sure these definitions align with your textbook's.