We know that momentum is defined as the product of mass and velocity, hence p = 0.025 kg x 0.1 m/s or p = 0.0025 kg m/s. Therefore, the bullet's momentum is equal to 0.0025 kg/s.
The ability of a gun to cause such substantial damage is due to the momentum that the gun imparts to the projectile. An object's momentum is equal to its mass times its velocity. Making a thing more large or moving more quickly can increase its momentum and, thus, its capacity for destruction. The force acting on both is therefore the same, but the rifles have smaller recoils since their mass is higher than that of the bullet, which results in a reduced recoil compared to the bullet's speed.
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Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0∘R). However, the units of this scale are the same size as those on the Fahrenheit scale (∘F) rather than the Celsius scale (∘C).
A) Given that water at standard pressure freezes at 0∘C, which corresponds to 32∘F, and that it boils at 100∘C, which corresponds to 212∘F, calculate the temperature difference ΔT in degrees Fahrenheit that corresponds to a temperature difference of 1 K on the Kelvin scale.
B) What is the numerical value of the triple-point temperature Ttriple of water on the Rankine scale?
The temperature difference of 1 K on the Kelvin scale is equivalent to the temperature difference of (5/9)°F on the Fahrenheit scale. Triple-point temperature of water is approximately 491 degrees Rankine.
The unit of scales on the Rankine scale is the same as those on the Fahrenheit scale. Hence, from the freezing point of water (0⁰C) to the boiling point of water(100⁰C) , Rankine scale is divided into 180 scales.
The absolute zero is zero degrees Rankine. In Celsius scale, absolute zero is −273 °C.
A). A unit scale on the Kelvin scale is the same size as a unit scale in the Celsius scale. Hence,
ΔT 1 K = ΔT 1°C
The ratio of Celsius and Fahrenheit scale is 5/9, therefore:
K/F = C/F = 5/9
Hence,
ΔT 1 K = ΔT (5/9)°F
B) Triple-point temperature of water is approximately 0 °C. Since zero degrees Rankine is equivalent to −273 °C, hence:
0 °C = 0 - (9/5)(-273) = 491 degrees Rankine.
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In general, how can you calculate the distance of object B from the fulcrum so that it balances object A
The formulas F(A)×R(A) = F(B)×R(B) should be used to determine the distance of item B from the fulcrum such that it balances object A. where F is the object's force and R is the object's distance from the fulcrum.
What does "force" actually mean?The push or pull that causes a massed body to change its speed is the definition of force. An agent with the ability to change a body's rest or moving condition is known as an external force. It has a magnitude as well as direction.
How come forces occur?Forces are created by the interactions between two (or more) objects. There is a similar but opposing force acting on each individual on the other. External forces are what cause the item to move.
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Sam is standing close to two speakers that are playing music at a party, but when a single note is held for a long time, it seems very soft to him. Why?
When a single note is kept for a long time, it seems very soft to him. This is because he is standing at a point where the rarefactions of the sound wave from one speaker meet the compressions of the sound wave from the other speaker.
A longitudinal wave propagates by means of compressions and rarefactions. When a vibrating object motions forward, it shoves and compresses the air in a veneer of it building a region of high pressure. When a sound wave travels through a medium, say air, the particles of the medium disturb in the same fashion, i.e. compression and rarefaction. Compression is illustrated for the longitudinal waves in which the particles come nearer such that it is at high pressure.
Rarefaction is specified for the longitudinal waves in which the particles move apart such that it has low pressure.
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A toy car move around a loop-the-loop track. The loop i 0. 5 high. What i the minimum peed of the car at the top of the loop for it to tay on track?
Pleae work it!!
I found all the anwer are 1. 57m/ but it i
0. 78m/
The minimum speed of the car at the top of the loop for it to stay on track be 1.57 m/s.
What is speed?The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.The speed at which an object's location changes in any direction.The distance traveled in relation to the time it took to travel that distance is how speed is defined.As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.To learn more about speed refer to:
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Make meaurement and calculation to predict where the puck will land and whether the puck will land on Eintein or not. Upload or decribe all the tep you took to anwer thi. Include the meaurement you made from thi video, the equation you ued and the final reult
In the given case it can be concluded that- The two basic tenets of the special theory of relativity were that observers moving at constant speeds should be subject to the same physical rules and that the speed of light is constant for all observers.
According to Small amounts of mass (m) can be substituted for huge amounts of energy according to the theory, which uses the speed of light to establish the link between energy and matter (E), Einstein's general theory of relativity from 1915, the spacetime curvature is what causes what we experience as the gravitational force.Relativity ushered in the nuclear era while advancing our understanding of elementary particles and their basic interactions in the field of physics. Relativity made it possible for cosmology and astrophysics to predict unusual celestial phenomena like neutron stars, black holes, and gravitational waves.To know more about theory of relativity here
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A particular power source creates electricity through the use of giant magnets that are rotated to create a flow of electrons. This electricity is then directed:
This electricity is then directed from the electric generator to electric outlets in homes
A power source that creates electricity through the use of giant magnets that are rotated to create a flow of electrons is called a generator. Generators use the principle of electromagnetic induction to convert mechanical energy (rotational energy of the magnets) into electrical energy.The electricity generated by the generator is then directed through electrical transmission lines to a substation, where it is transformed to a higher voltage level for long-distance transmission. Then it is distributed to homes and businesses through power lines and transformers.
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A RL circuit is driven by an AC generator as shown in the figure. sin(ot) The voltages across the resistor and generator are ??.
O always out of phase O always in phase sometimes in phase and O sometimes out of phase Submit
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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A box of weight 150 N is placed on
an inclined plane. The component
of the box's weight acting along
the plane is given by W'. What
would be the value of W", in
Newtons?
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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What is the equation for torque use D for lever arm and F for force?
Torque is calculated using the formula =|r| |F|sin = | r | | F | sin, where |r| is the size of the lever arm, |F| is the size of the force vector, and is the angle formed between the two vectors.
force a "F" What is the torque calculation equation?Under ideal circumstances, M = F x r would be the equation for drive torque. In this instance, r denotes the length of a lever that is fastened to the axis of rotation and whose end is subject to a perpendicular force, F. The point of application, however, may alternatively be chosen at random.
R and F in the torque formula: what are they?The rotational rate (or "r") of an object is the amount by which a force acting on it rotates it. We'll refer to the force a "F" The moment arm, indicated by the letter "r," is the distance from the pivot point to the point at which the force acts.
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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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cinder block is sitting on a platform 20 m high. It weighs 79 N. The block has
energy. Calculate it.
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
The largest meteorite of lunar origin reportedly has a mass of 19 g. If the meteorite placed on a scale whose spring constant is 83 N/m, what is the compression of the spring
According to reports, the biggest meteorite with lunar origin weighs 19 g. If the meteorite placed on a scale whose spring constant is 83 N/m, 0.22 m is the compression of the spring.
We can use Hooke's Law to calculate the compression of the spring caused by the meteorite. Hooke's Law states that the force exerted on a spring is directly proportional to the spring's compression or extension.
= F
= k * x
where F is the force (in newtons), k is the spring constant (in N/m), and x is the compression (in meters).
Given the mass of the meteorite is 19 g and the spring constant is 83 N/m, the force exerted on the spring can be calculated as
= F
= (mass of the meteorite) * g
= (19 g) * (9.8 m/s^2)
The compression of the spring can be found by rearranging Hooke's Law and substituting in the force and spring constant
x = F/k
x = (19 * 9.8) / 83
x = 0.22 m
The compression of the spring caused by the meteorite is 0.22 m.
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Select the correct answer. A van traveling down a slope with a uniform acceleration of 2.15 meters/second2 attains a speed of 20.00 meters/second after 7.00 seconds. What is the initial velocity of the van
Answer:
Initial velocity of the van is 4.95m/s
Explanation:
Acceleration is found using the following formula:
[tex]a=\frac{v-u}{t}[/tex]
where:
a is acceleration ( in meters per second squared)
v is final velocity ( in meters per second)
u is initial velocity ( in meters per second)
t is time ( in seconds)
We know that:
[tex]a = 2.15m/s^{2}[/tex]
[tex]v = 20m/s[/tex]
[tex]t=7s[/tex]
Therefore, we can find the initial velocity by shifting around some values and making [tex]u[/tex] the subject within the acceleration formula by multiplying both sides by [tex]t[/tex]:
[tex]a[/tex] × [tex]t=v-u[/tex]
Followed by:
[tex]u = v-at[/tex]
Now we can substitute in the values we have:
[tex]u = 20-(2.15[/tex] × [tex]7)[/tex]
[tex]u = 20 - 15.05[/tex]
[tex]u=4.95m/s[/tex]
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.
speed.
momentum.
all of the above
none of the above
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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How do scientists collect evidence about Earth's climate?
"Scientific evidence for warming of the climate system is unequivocal."
What evidence can be used to study the Earth's past climate?Organisms such as diatoms, forams, and coral) can obey useful climate proxies. Other proxies involve ice cores climate, tree rings, and sediment cores. Chemical deputy records include isotope ratios, elemental examination, biomarkers, and biogenic silica.
Climate analyzers use every possible direct and indirect compilation to study the full history of Earth's climate, ice cores drawn from Greenland, Antarctica, and tropical mountain glaciers appear that Earth's climate greets to changes in greenhouse gas levels.
So we can conclude that Climate change is most usually measured using the average surface temperature of the planet.
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Select the correct anwer from each drop-down menu. When a looe brick i reting on a wall, it ha
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy. When the brick i puhed off the wall and i falling down, the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i decreaing while the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i increaing
When a loose brick is resting on a wall, it has potential energy. When the brick is pushed off the wall and is falling down, the amount of potential energy is decreasing while the amount of kinetic energy is increasing.
Kinetic energy is motion––of waves, electrons, atoms, molecules, substances, and objects. Potential energy is stored energy and the energy of position––gravitational energy. There are several forms of potential energy.
Conservation of energy is not saving energy. The law of conservation of energy says that energy is neither created nor destroyed. When we use energy, it doesn’t disappear. We change it from one form of energy into another.
A car engine burns gasoline, converting the chemical energy in gasoline into mechanical energy. Solar cells change radiant energy into electrical energy. Energy changes form, but the total amount of energy in the universe stays the same.
Energy efficiency is the amount of useful energy you get from a system. A perfect, energy-efficient machine would change all the energy put in it into useful work—an impossible dream. Converting one form of energy into another form always involves a loss of usable energy.
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A researcher observes hydrogen emitting photons of energy 1.89 eV. What are the quantum numbers of the two states involved in the transition that emits these photons?
The quantum numbers of the 2 states involved in the transition that emits these photons of energy 1.89 eV of hydrogen is n=3 to n=2
The hydrogen atom is the simplest atom in which an electron moves in the spherically symmetric Coulomb potential of the proton. The total energy of an atom in the center of the mass system can only have discrete values for the stationary states described by the quantum numbers.
Energy of the emitted photon, ΔE=1.89eV. The total energy of a hydrogen atom is given as, En=−13.6/n^2eV, Here, n is the principal quantum number.
An electron absorbs or emits radiation in the form of discrete energy, which equals the difference in energies of the final and initial state. Mathematically, ΔE=Ef−Ei. Here, Ef is the energy of the final state and Ei is the energy of the initial state.The difference in energy when an electron makes transition from n=3 to n=2. ΔE3→2= E3−E2=(−1.51eV)−(−3.4eV)= 1.89eV.
Since, ΔE=ΔE3→2. Therefore, the electron makes a transition from n=3 to n=2.
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Mess Me and You will have nonsense Explain how this riddle relates to mutation in DNA
Nonsense mutations are those point mutations in the DNA where stop codons will appear before the time they should appear.
What are nonsense mutations?At the time of transcribing from DNA to RNA, the template needs to have both start and stop codons for the transcription to occur correctly, but sometimes mutations can occur that do not allow the protein to be produced correctly. This mutation can be permanent which causes damage to the formation of proteins.Sometimes mutations can be beneficial, allowing evolution and helping organisms to be better formed for a new environment.
It is the type of mutation in which a termination codon occurs before the time it should be, instead of giving a codon with a certain amino acid. Which gives a much shorter protein than it should be, giving a non-functional protein.
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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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calculate the average speed of the cyclist travelling 100 meters in 40 seconds
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
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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Define the following
a. Friction:
b.Sliding friction:
c.Static friction
d.Rolling friction
e.Air resistance
f. Terminal velocity
g.Gravity
h.Weight
i. Centripetal force:
j.Momentum
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.
You and your friend, who weighs the same as you want to go to the top of the Eiffel Tower Your friend takes the elevator straight up. You decide to walk up the spiral stairway, taking longer to do so. Compare the gravitational potential energy of you and your friend, after you both reach the top. Your gravitational potential energy is greater than that of your friend, because you traveled a greater distance in getting to the top. Your friend's gravitational potential energy is greater than yours, because he got to the top faster Both of you have the same amount of gravitational potential energy at the top. Dit is impossible to tell, since the times you both took are unknown Impossible to tell since the distances you both traveled are unknown
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.
What does potential energy mean?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 naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120
kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.
and returns to hit the ship's sensor 3 seconds later?
Answer should be in meters
The distance between the Naval Navigator and the sunken cargo was found to be 2175 m by using sonar with 120kHz frequency and a wavelength of 3mm.
What is the purpose of sonar?Sonar is largely used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor. Sonar comes in active and passive varieties.
Speed of sound in water =1450m/s
Time lag between transmission and reception of Sonar waves =3 s
sound waves travel a distance is twice the distance between the navigator and cargo (2S) in this time lag.
Time taken for the sound to reach the submarine = 1/2 ×3 = 1.5s
Distance between the Navigator and the sunken cargo, S=1450×1.5s =2175m.
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How do you find the acceleration of a ball rolling down a slope?
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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You are on roller blades on top of a small hill. Your potential energy is equal to 1000 joules. The last time you checked your mass was 60.0 kilograms. What is the height of the hill
The height of the hill can be calculated using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the hill. So, solving for h, we get h = PE/mg = 1000 J/ (60.0 kg*9.8 m/s2) = 10.2 m.
Therefore, the height of the hill is 10.2 m. The potential energy of an object is the energy it possesses due to its position or state. As the object moves, its potential energy can be converted into kinetic energy, or the energy it has due to its motion. In this case, the rollerblader is on top of the hill, so it has potential energy due to the height of the hill.
The formula for potential energy is PE = mgh, which means that the potential energy is equal to the mass multiplied by the acceleration due to gravity multiplied by the height. In this case, the mass is known to be 60.0 kg, and the potential energy is known to be 1000 J. By using the formula and substituting in the known values, the height of the hill can be calculated.
The height of the hill is determined to be 10.2 m, which is relatively small. This means that the hill is not too steep, and the rollerblader would not have to use a lot of energy to go down it.
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A mosquito runs head-on into a truck. Splat! Which is true during the collision? A. The mosquito exerts more force on the truck than the truck exerts on the mosquito. B. The truck exerts more force on the mosquito than the mosquito exerts on the truck. C. The mosquito exerts the same force on the truck as the truck exerts on the mosquito. D. The truck exerts a force on the mosquito but the mosquito does not exert a force on the truck. E. The mosquito exerts a force on the truck but the truck does not exert a force on the mosquito.
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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3. A student tosses a 0. 500 kilogram rock into
a pond at a rate of 1. 00 meter per second. If
the student's mass is 45. 0 kilograms, what
is the momentum of the rock by the
student?
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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Using the principle of conservation of energy and the final height the golf ball reaches after bouncing, determine the theoretical speed with which the ball must have left the floor (i.e on its way back up).
Mass: 0.0453kg
Initial height: 1m
Initial potential energy: 0.444J
Final height: 0.61m
Final potential energy: 0.271J
Efficiency: 61.0%
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.
which of the following is an explanation for the apparebtbincrease in the rate that the universe is expanding?
a. hadrons
b. dark energy
c. CMB radiation
d. dark matter
An explanation for the apparent increase in the rate at which the universe is expanding is dark energy. The correct option is b.
What is dark energy?A hypothesized energy known as "dark energy" acts in opposition to gravity by exerting a repellent, negative pressure. It has been proposed to explain the observable characteristics of far-off type Ia supernovae, which reveal the universe is expanding at a faster rate than usual.
We would first need to locate dark energy before scientists could even consider whether it could be possible to use it as a source of electricity.
Therefore, the correct option is b. dark energy.
To learn more about dark energy, refer to the link:
https://brainly.com/question/29801644
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