A Shuttle astronaut is sent to repair a defective relay in a 600. 00- kg satellite that is traveling in space. The combined velocity when the astronaut grabs hold of the satellite is 17,004.4 m/s.
The combined velocity of the astronaut and the satellite when the astronaut grabs hold of the satellite is the relative velocity between the two objects. The relative velocity can be calculated using the principle of conservation of momentum. The principle states that the total momentum of an isolated system remains constant if no external forces act on it.
The initial momentum of the satellite is
= (600.00 kg) * (17,000.0 m/s)
= 10,200,000 kg*m/s
The initial momentum of the astronaut and the MMU is
= (400.00 kg) * (17,010.0 m/s)
= 6,804,400 kg*m/s
The final momentum of the combined system is
= (600.00 kg + 400.00 kg) * v,
where v is the final velocity of the combined system.
The conservation of momentum equation:
=> initial momentum = final momentum
= 10,200,000 kgm/s + 6,804,400 kgm/s
= (1000 kg) * v
= v
= (10,200,000 + 6,804,400) / 1000
= v
= 17,004.4 m/s
So, the combined velocity of the astronaut and the satellite when the astronaut grabs hold of the satellite is 17,004.4 m/s.
It's important to note that the relative velocity is the same in both directions, this is a vector quantity and direction is important.
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How much energy is released when 110 g of steam condenses?
Answer:
To determine the amount of energy released when 110 g of steam condenses, we can use the latent heat of vaporization formula, which states that the energy released is equal to the mass of the steam multiplied by the latent heat of vaporization. The latent heat of vaporization of water is 2256.7 J/g, so the energy released would be equal to 110 g x 2256.7 J/g = 248230 J. This value can be converted to kilojoules by dividing it by 1000, resulting in approximately 248.2 kJ.
It is important to note that the specific heat capacity and the change in temperature are not required to calculate the energy released during the condensation of steam. Instead, we only need the mass of the steam and the latent heat of vaporization. The latent heat of vaporization is a measure of the amount of energy required to change the state of a substance from a vapor to a liquid at a constant temperature, and it is specific to each substance.
Explanation:
Shawn and his bike have a total mass of 44.0 kg. Shawn rides his bike 1.70 km in 11.0 min at a constant velocity. What is Shawn's kinetic energy?
The velocity of the bike is 2.57 m/s. Then the kinetic energy of the 44 kg mass is 145.3 J.
What is kinetic energy?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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steroid Ida was photographed by the Galileo spacecraft in 1993, and the photograph revealed that the asteroid has a moon, which has been named Dactyl. From the dimensions of Ida and its general features, one can estimate the mass of Ida to be 4.5 x 10^16 kg, and the distance between Dactyl and Ida is approximately 90 km. Assuming a circular orbit, what would be the orbital speed of Dactyl
The orbital speed of Dactyl is approximately 0.0173 meters per second.
To calculate the orbital speed of a Dactyl, we can use the formula:
v = √(G * M / r) where:
v is the orbital speed of DactylG is the gravitational constant (6.67 x 10^-11 N*(m^2)/(kg^2))M is the mass of Ida (4.5 x 10^16 kg)r is the distance between Dactyl and Ida (90 km)So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )
= √ ( 2.98 x 10^-5 m/s^2 )
= 0.0173 m/s
Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.
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How much heat is required to be removed from a 8kg liquid water at 33 °C to be transformed into ice at 0 °C?
The Total heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C is 13,019 J.
The heat required to be removed from a liquid to transform it into a solid is called the heat of fusion. For water, the heat of fusion is approximately 334 J/g. To calculate the amount of heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C, we'll need to take into account both the heat of fusion and the heat required to lower the temperature of the water from 33 °C to 0 °C.
First, we'll calculate the heat required to lower the temperature of the water from 33 °C to 0 °C. This can be calculated using the formula:
Q = mcΔT
where Q is the heat required, m is the mass of the water (8 kg), c is the specific heat capacity of water (4.186 J/g·°C), and ΔT is the change in temperature (3temperature change
Q = (8 kg)(4.186 J/g·°C)(33 °C) = 10,347 J
Next, we'll calculate the heat of fusion by multiplying the heat of fusion of water (334 J/g) by the mass of the water (8 kg).
Q = (334 J/g)(8 kg) = 2672 J
To sum up, the total heat required to transform 8 kg of liquid water at 33 °C to ice at 0 °C, is equal to the heat required to lower the temperature + heat of fusion which is 10,347 J + 2672 J = 13,019 J
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Explain why the speed of a competitor changes during the race. [4 marks]
AQA combined science physics paper 1 2022
The reason that speed of a competitor changes during the race is that
Physical conditionTerrainWeatherStrategyTacticsInjuryWhat is the race about?The speed of a competitor during a race can change for a variety of reasons. Some of the most common include the following:
Physical condition: A competitor's physical condition can change during a race, leading to a change in their speed. For example, a runner may start off strong but tire as the race progresses, causing their speed to decrease.
Terrain: The terrain of the race can also have an impact on a competitor's speed. Running uphill, for example, typically requires more effort and can slow a competitor down, while running downhill can allow them to pick up speed.
Weather: Weather conditions can also affect a competitor's speed during a race. Running in hot, humid conditions, for example, can make it more difficult for a competitor to maintain a high level of performance.
Strategy: Competing athlete has a strategy to maintain a sustainable pace which he could not change that often, it could lead to either decrease or increase in speed.
Tactics: Athletes may also adjust their tactics during a race in response to the competition. For example, a runner may slow down to conserve energy in the early stages of a race in order to have a stronger finish.
Injury: Sometimes, an injury can happen during a race and it can force the athletes to adjust their speed to adapt.
In all, the speed of a competitor during a race can change for a variety of reasons related to their physical condition, the terrain, weather, strategy, tactics and injury.
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20 points!
A student wants to measure the mass of three different rocks.
Which SI unit should the student use?
millimeters
grams
ampere
kelvin
Answer:
I've never heard of ampere, so it's either grams or ampere.
30 points!
Which statement accurately describes a similarity all planets share?
They lack enough gravity to clear their orbit of debris.
They orbit the satellites of other planets.
They are very close in comparative densities.
They have sufficient gravity to make themselves round.
Statement D. They have sufficient gravity to make themselves round accurately describes a similarity between all planets in terms of this movement and the presence of mass to form such a celestial body.
Why do all planets have gravity and orbit around major celestial bodies?All planets need to have gravity in order to orbit around major celestial bodies, i.e., stars such as in the case of the earth planet or Mars, they orbit around the Sun which is the star of the solar system. The presence of the attractive force of gravity allows planets to move in a cycle across their stars.
Therefore, with this data, we can see that all planets have gravity and orbit around major celestial bodies and thus they can be considered to share the particularity to have a well defined orbit due to the presence of mass.
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For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)
The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.
An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.
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An experiment with a comb, rabbit fur and paper confeti was conducted. The comb was rubed against the fur and then was put next to paper confeti. The confeti sticks. Then the fur was put next to it. What happened to the fur and confeti?
Answer:
Static electricity, specifically electrostatic attraction has occurred.
Explanation:
This phenomenon is known as static electricity, which involves the buildup of electric charges on the surface of a material. It can occur when two materials come into contact and then separate, transferring electrons from one material to the other. When you rub the comb against the rabbit fur, you transfer some of the electrons from the fur to the comb, leaving the fur with a positive charge and the comb with a negative charge. This charge separation creates an electric field around the comb and the fur. When you bring the comb and fur near the paper confetti, the negatively charged electrons in the confetti are attracted to the positive charge on the fur and the confetti sticks to the fur. This process is known as electrostatic attraction.
The figure shows a graph of the output from an AC voltage source.
What is the maximum voltage Vmax of the source?
What is the average voltage Vavg of the source?
What is the root-mean-square voltage Vrms of the source?
From the graph,
Vmax = 3V
Vavg = 2*Vmax/π = 2*3/π = 1.91 V
Vrms = Vmax/√2 = 3/√2 = 2.121 V
Note: The graph that has been considered for theses calculation, is uploaded as an attachment along with the answer.
The sine wave can achieve a maximum value known as VMax for both negative and positive directions. It is VMax for a positive cycle and (-)VMax for a negative cycle.
The average of the instantaneous voltages selected at correctly spaced intervals during the half - cycles of an AC sinusoidal (or other periodic) waveform is the average voltage. The average value is a representation of the area beneath the AC wave form as a function of time.
A sinusoidal origin of electromotive force is described by its root-mean-square (rms) voltage (Vrms), denoted by Vmax/√2.
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The primary evidence that our Sun is a third-, fourth-, or fifth-generation star comes from the fact that our ________.
The fact that our Solar System has too many heavy elements to be first-generation provides the strongest support for the hypothesis that our Sun is a third, fourth, or fifth-generation star.
In astronomy, a star is a brilliant plasma spheroid that is kept together by gravity. The Sun is the planet's closest star. The human eye can see a great number of other stars at night, but due to our planet's size, they seem like stationary points of light. Numerous of the brightest stars were given names, and the most notable stars have been grouped into constellations and asterisms. The known stars have been identified and given standard designations in star catalogs that astronomers have put together. On average, there are 1022–1024 stars in the observable universe. In the Milky Way galaxy, there are just 4,000 of these stars that can be seen with the unaided eye.
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You are standing on a moving bus, facing forward. You suddenly fall backwards. You can imply from this that the bus's __.
You are standing on a moving bus, facing forward. You suddenly fall backward. You can imply from this that the bus's acceleration or speed has increased suddenly.
When the bus accelerates or speeds up suddenly, the inertia of your body causes you to fall backward. Inertia is the tendency of a body to resist changes in its state of motion. It is a basic principle of physics that states that an object in motion will remain in motion with the same speed and the same direction unless acted upon by an outside force. When the bus accelerates suddenly, the inertia of your body causes you to remain in the same position, while the bus moves forward. This results in you falling backward.
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Which of the following graphs best illustrates how the intensity of sound varies as a detector is moved further and further from a stationary source projecting sound in all directions
The graph that best illustrates how the intensity of sound varies as a detector is moved further and further from a stationary source projecting sound in all directions would be an inverse square law graph. This graph would show that the intensity of sound decreases as the distance from the source increases. The intensity of sound is inversely proportional to the square of the distance from the source.
This means that if the distance from the source is doubled, the intensity of sound is decreased by a factor of four. This relationship is commonly observed in physics and engineering and is known as the inverse square law of sound propagation. This law states that the intensity of sound decreases as the distance from the source increases in a manner that is inversely proportional to the square of the distance.
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What is the potential energy of a passenger jet weighing 7.0 x 10^5 N when it reaches a cruising altitude of 10.0 km?
Upon travelling at an altitude of 10.0 km, a passenger aircraft weighing 7.0 x [tex]10^{6}[/tex] N potential is the energy.
What similarities and differences do kinetic and potential energy share?Potential energy and kinetic energy are fundamentally different from one another because one is the energy of what can be and the other is the energy of what is. Or to put it another way, potential energy is immobile and ready to be unleashed;
When compared to potential energy, is kinetic energy greater?Due to the object's motion, kinetic energy loses some energy in the form of light energy, heat energy, and friction; these things do not occur in the potential energy, which is the reason why kinetic energy is not more than the potential energy.
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Which of the following most likely explains why Jupiter's interior releases so much heat?
A. Jupiter is gradually contracting in size.
B. tidal heating.
C. heat from radioactive decay.
D. a slow rate of nuclear fusion in Jupiter's core.
C. heat from radioactive decay.
Jupiter is a large gas giant and does not have a solid surface so the source of its heat is not from contraction or tidal heating.
Heat is generated from the radioactive decay of elements, such as uranium and thorium, in the interior of Jupiter which is the most likely explanation for the release of heat.
The heat released from the interior of Jupiter is believed to be generated from the radioactive decay of elements, such as uranium and thorium. These elements are naturally occurring, and their decay releases energy in the form of particles and radiation. This process produces the heat that is released from Jupiter's interior, which is why it is much hotter than the surrounding environment. The heat is also responsible for the hot spot that can be seen in Jupiter's atmosphere. It is estimated that the interior of Jupiter releases up to two and a half times more heat than it receives from the Sun. This process of radioactive decay is the most likely explanation for the release of such a large amount of heat from Jupiter's interior.
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If your vehicle plunges into deep water, but does not sink immediately, you should escape through a:
If this situation ever happens, you should always try to escape through an open window first because it is your best option.
How do you classify a vehicle?There are several ways to categorize automobiles; in North America, trucks and passenger vehicles are separated by rated rating and total interior capacity, respectively (GVWR). In the European Union, vehicle segments employ linear metrics to represent size.
Why are vehicles important?The private automobile has changed contemporary civilization for more than a century by enabling autonomy and freedom of movement. Due to the growing distances between places like home, work, educational establishments, retail malls, and recreational facilities, mobility has become more and more crucial.
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A soccer ball is moving with a momentum of 5 kg m/s when a soccer player
kicks the ball back in the opposite direction. After the kick, the soccer ball
is moving with a momentum of 7 kg m/s. What is the impulse the soccer
player applied to the soccer ball?
The impulse applied to the soccer ball by the soccer player is the combined force and time of the kick applied to the ball.
What do you mean by Impulse?
Impulse is an instantaneous force applied to an object, resulting in a change in the object's momentum. It is a vector quantity, which means that it has both magnitude and direction. Impulse is the product of a force applied to an object for a certain period of time. It is calculated as the product of the average force applied multiplied by the time period over which the force is applied. For example, when a ball is hit with a bat, the force of the bat is applied to the ball for a certain amount of time, resulting in an impulse which causes the ball to move.
1. Calculate the change in momentum of the soccer ball:
Change in momentum = Final Momentum - Initial Momentum
= 7 kg m/s - 5 kg m/s
= 2 kg m/s
2. Calculate the impulse:
Impulse = Change in Momentum
= 2 kg m/s
Therefore, the impulse applied by the soccer player to the soccer ball is 2 kg m/s.
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Two unequal masses are dropped simultaneously from the same height. The two masses will experience the same change in
(A) acceleration
(B) kinetic energy
(C) potential energy
(D) velocity
When two unequal masses are dropped simultaneously from the same height, then both masses will experience the same change in D: velocity.
Velocity is the prime indicator of the position and the rapidity of the object. It can be described as the distance covered by an object in a unit of time. It means that velocity is the displacement of the object in unit time. When in the case where two objects with unequal masses are dropped simultaneously from the same height, both masses will attain the same change in velocity.
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Measuring 27ml of liquid (daudgtear idnreiyc)?
Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.
Why would someone use a graduated cylinder?Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.
With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.
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How do you find torque with force and distance?
Torque = force x distance from point of rotation
Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.
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A 1. 25 in. By 3 in. Rectangular steel bar is used as a diagonal tension member in a bridge truss. The diagonal member is 20 ft long, and its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in. /in. , determine:
The length of the diagonal member is 20 ft, and if its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in, the elongation of the member is 29 inches.
What is a truss?A truss is constructed of a number of components, such as beams, connected at nodes to create a rigid framework. According to engineering definition, a truss is a structure that "consists of merely two-force members, where the members are placed so that the assembly as a whole behaves as a single entity."
A truss is a piece of furniture comprised of components arranged into linked triangles that function as a single unit. Trusses are most typically used in towers, roofs, and bridges. If a truss' members essentially lie on a single plane, it is referred to as a plane truss.
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What measuring device should you use to determine that the internal potential energy of a substance has changed?
A calorimeter is a device which is used to measure and define the internal energy of a system.
A calorimeter is a device used to measure the heat of chemical processes or physical changes, as well as heat capacity. Among the most frequent varieties are differential scanning calorimeters, isothermal micro calorimeters, titration calorimeters, and accelerated rate calorimeters.
A basic calorimeter is just a thermometer attached to a metal container filled with water that is suspended above a combustion chamber. It is a type of measuring instrument used in the study of thermodynamics, chemistry, and biochemistry.
To calculate the enthalpy change per mole of substance A in a reaction involving two compounds A and B, the substances are individually introduced to a calorimeter and the beginning and final temperatures (before and after the reaction) are recorded.
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Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from Part D, where y0=0. 75m, α=0. 95s^−1, and ω=6. 3s^−1
The numerical value of the vertical velocity of the car at time t=0 is 4.91 meters per second.
Given,
t = 0.25 s
y = 0.75 m
α = 0.95 rad/s²
ω = 6.3 rad/s
Wf=6.54 rad/sec
V=wr
6.54*0.75
V=4.91 m/s
The classic example of independent motions along different axes is projectile motion. Projectile motion is the combination of two separate linear motions. The horizontal motion doesn’t affect the vertical motion, and vice versa. Since there is no acceleration in the horizontal direction (ignoring air resistance), the projectile moves with constant velocity in the x direction.
If an object slides down a friction less plane inclined at angle θ, the acceleration down the plane is g sin θ, because the component of g (the downward acceleration due to gravity) that points along the plane is g sin θ. (There is no acceleration perpendicular to the plane because the normal force from the plane cancels the component of the gravitational force perpendicular to the plane.
Another type of 2-D motion is circular motion. If an object is moving in a circle of radius r with speed v at a given instant, then the (inward) radial component of the acceleration vector a equals. This radially inward acceleration is called the centripetal acceleration. If additionally the object is speeding up or slowing down as it moves around the circle.
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A girl on a skateboard (total mass of 40 kg) is moving at a speed of 10 m/s at the bottom of a long ramp. The ramp is inclined at with respect to the horizontal. If she travels 14.2 m upward along the ramp before stopping, what is the net frictional force on her
Long ramp would be the net static friction acting on her if the ramp has a total weight of 40 kg is F = 6.77 N.
What is the force's overall net force?The effects (the sum) of any and all pulling and pushing forces that are actually acting on an object is known as the net force. An item will speed up in the net force if the pushing and pulling forces acting on it are not equal (a net force acts).
Calculation -:E(f) - E(i) = -F(k)d
E(f) = mgy(f) = 1/2×mv²(f)
E(i) = mgy(i) + 1/2×mv²(i)
F(k) = [E(f)- E(i)]/-d
= {mgy(s) + 1/2mv²(f) - (mgy(i) + 1/2mv²(i))}/-d
F(k) = {(40)(9.8)(14.2)(sin[tex]20^{o}[/tex]) +0-(0+1/2(40)([tex]10^{2}[/tex])}/-14.2
F(k) = 6.77 N
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To tighten a loose screw, a torque of 90 N.m must be applied. A wrench that is 30cm long is used to tighten it. Find the minimum force needed
The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.
What is force?
Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.
To find the minimum force needed to tighten the loose screw, we can use the equation:
F = T / r
where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).
We need to convert the length of the wrench from cm to meters before calculating the force:
r = 30 cm / 100 cm/m = 0.3 m
Now we can plug in the values into the equation and find the force:
F = 90 N.m / 0.3 m = 300 N
So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.
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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
The mass of the electrons associated with the neutral atoms must also be taken into account.
Part A
21284Po → 20880Pb + 4He
Part B
E = 13.9 MeV
Part C
23994Pu → 23592U + 4He
Part D
E = 16.2 MeV
For Part A and C, the nuclear equations of the decay process are determined by subtracting the mass number of the products from the mass number of the reactants. The mass number of the reactants is the sum of the mass number of the parent nucleus and 4 for the alpha particle.
For Part B and D, the energy released in the reaction is determined by subtracting the mass of the products from the mass of the reactants and converting to energy using the equation E = mc2. The masses of the reactants and products are found using the atomic masses listed in the periodic table. The mass of the electrons associated with the neutral atoms must also be taken into account.
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How do you find the velocity of an object rolling down a ramp?
The object 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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difference between reflection of sound, echo and reverberation
which of the following causes low lung compliance as a result of last of electrical lung tissue destruction
Interstitial lung disease is low lung compliance as a result, last of electrical lung tissue destruction.
Interstitial lung disorders brought on by breathing in particles like silicon and asbestos (asbestosis) can cause low lung compliance (silicosis).
Lungs and the pleural cavity have the capacity to expand and contract in response to variations in pressure. Lung compliance, which is a key determinant of lung health and function, is defined as the volume change per unit of pressure change across the lung. Lung compliance varies between inhalation and expiration because measurements of lung volumes vary between the two at the same pressure. Depending on whether only volume and pressure are measured (static) or whether their variations over time are also recorded, lung compliance can be classified as either static or dynamic.
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Acar drives 150 km east from city A to B in 45 minutes and then 300 km south from city B to C in 1,5 hours. What is the average velocity vector for the trip?
The required average velocity vector for the trip is calculated to be 100 i + 200 j and its magnitude is 223.6 km/h.
The displacement due east is taken as 150 i.
The displacement due south is taken as 300 j.
The net displacement is given as, 150 i + 300 j.
Magnitude of net displacement = √(150² + 300²) = √112500 = 335.41 km
We get the average velocity by dividing the displacement vector by total time.
v avg = (150 i + 300 j)/1.5 = 100 i + 200 j
Magnitude of net velocity = √(100² + 200²) = √(10000 + 40000) = 223.6 km/h
Thus, the average velocity vector is 100 i + 200 j.
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