The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J
What is inelastic collisions?Inelastic collision occur when only the momentum is conserved but there is loss in kinetic Energy.
This means that the momentum before collision is equal to the momentum after collision.
therefore m1v1+(-m2v2) = (m1+m2)v . where v is the common velocity after collision. The negative sign shows that they are moving in opposite direction.
m1= 30g = 0.03kg
m2 = 15g = 0.015kg
v1 = 2m/s
v2 = 3m/s
0.03× 2- 0.015× 3= (0.03+0.015)v
0.06-0.045= 0.045v
0.015= 0.045v
divide both sides by 0.045
v = 0.015/0.045
v= 0.33m/s
the kinetic energy before collision = ½×0.03×2²+½×0.015×3²
= 0.06+0.068= 0.128J
kinetic energy after collision = ½× 0.045× 0.33² = 0.0025J
loss in kinetic energy= 0.128J -0.0025J = 0.126J
therefore the The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J
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Drag each tile to the correct location.An aspect of climate change involving cloud cover is one example of a negative feedback loop. Complete the steps of this negative feedback
loop.
increased formation
of clouds
decreased temperatures
increased evaporation
from oceans
increased carbon dioxide in
atmosphere
increased greenhouse effect
and warmer temperatures
1
+
increased precipitation
Edmentum. All rights reserved.
The term "climate change" refers to a long-term change in the average weather or climate.
How to illustrate the information about climate change?Changes in the average temperature, the direction of the dominant wind, and the water cycle, which affects cloud cover and precipitation on earth, are the most obvious signs of the change. The size of ice caps and glaciers as well as desertification, wetlands, flooding from rivers that overflow their banks, and desertification are all affected by these changes. Long-term climate changes also have an impact on sea currents, sea level, and seawater salinity.
The observed global warming at the turn of the 20th century brought climate change to light. There have been times in the past that were particularly hot and humid on land or extremely hot and dry. On Earth, it has also been much colder than it is right now, such as during the ice ages. The polar regions and areas near latitudes with a moderate climate today show the biggest variations in climate between the various periods.
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based on what you know about asteroids, select all of the correct statements from the following list.
These are the correct statements. 1) Most asteroids show no evidence of geological activity. 2) Most asteroids have been broken by impacts. 3) There are some asteroids found in Jupiter's orbit. 4) Kirkwood's gaps are caused by Jupiter.
Asteroids have no internal heat, so they are not geologically active.
The asteroids were formed in the early solar system from the gradual agglomeration of smaller particles. Their growth was restricted because of mutual collisions that impacted them to fragment.
The Jupiter trojans are found in the planet Jupiter's orbit.
The Kirkwood gaps are created by the orbital resonances between Jupiter and the asteroid belt. Orbital resonances is defined as the simple integer ratios of the distances between bodies in the case the overlapping gravitational forces create a pattern of strong and weak gravitational fields.
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The block is pushed by an
outside force.
Is energy conserved or not?
Answer:yes
Explanation:
a student walks 3 blocks south and 4 blocks west. what is the displacement of the student?question 3 options:7blocks sw6 blocks sw5 blocks sw4 blocks sw
A student walks 3 blocks south and 4 blocks west. The displacement of the student is 5 blocks SW.
Given that, the student walks 3 blocks south (AB) and then walks 4 blocks west (BC).
When we draw this on a paper, we find that we have drawn two sides of triangle. The displacement of the student would be the third side i.e, the hypotenuse of the triangle.
Applying Pythagoras theorem, we have
AB² + BC² = CA²
where, AB and BC are the two sides of the triangle
CA is the hypotenuse side of the triangle
From the above formula, CA = √(AB² + BC²)
Substituting in the formula, we have,
CA = √(3² + 4²) = √25 = 5
The hypotenuse side of the triangle is formed on the South-West side of the triangle.
Thus, the displacement is 5 blocks SW.
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A dart with a mass of 0.6 kg is thrown at 10.8 m/s and sticks into a 1.9 kg apple hanging
on a string. What is the velocity of the dart and apple just after the dart is embedded?
The x component of the center of mass's velocity vector cannot change since the overall momentum is conserved. Consequently, the apple's and dart's velocity is 5 m/s.
What is the speed of the apple and dart right after the dart has pierced it?Equation 1: According to the equation of conservation of momentum, mu+m'u' = V(m+m')
Where m is the dart's mass, m' is the apple's mass, u is the dart's initial velocity, u' is the apple's initial velocity, and V is the dart and apple's subsequent velocity after becoming embedded.
Making V the equation's object,
V = (mu + m'u ) / (m + m )
Given: u = 15 m/s, u' = 0 m/s, m = 50 g = 0.05 kg, m' = 100 g = 0.1 kg ( at rest)
Replace in equation 2
V = (0.05×15+0.1×0)/(0.05+0.1)
V = 0.75/0.15
V = 5 m/s.
Consequently, the apple's and dart's velocity is 5 m/s.
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which of the five scientists discussed in chapter 21 constructed the heliocentric model of the solar system placing the sun at the center?
Nicolaus Copernicus constructed the heliocentric model of the solar system placing the sun at the center.
Heliocentric is the model we use today, where we all revolve around the sun. Geocentric was a model that was long ago discarded after the discovery of telescopes.
The heliocentric model opposes the geocentric model by placing the sun at the center of the solar system as opposed to the earth as it is with the geocentric model.
It is a model in which Nicolaus Copernicus believed that the sun was in the center of the solar system and other celestial bodies were revolving around this.
This was Nicolaus's unorthodox idea that he was having in his mind and constructed the model which was later supported by Galileo and was established by Galileo that this model was correct.
Therefore, Nicolaus Copernicus constructed the heliocentric model of the solar system placing the sun at the center.
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Calculating Net Force
For each diagram net force and direction calculated.
Part - 1
1) Net force = 0
no direction
balanced
2) Net force = 87
direction →
unbalanced
3) Net force = 42
direction →
unbalanced
4) Net force = 0
no direction
balanced
5) Net force = 24
direction →
unbalanced
6) Net force = 0
no direction
balanced
7) Net force = 92
direction ←
unbalanced
8) Net force = 0
no direction
balanced
Part - 2
1) Net force = 0
2) Net force = 10N
3) Net force = 12
4) Net force = 0
5) Net force = 39N.
How is net force balanced calculated?Here g stands for gravitational force. Numerous additional forces, such as gravitational force Fg, frictional force Ff, and the normal force, act on the body when a force is applied to it. These additional forces serve to balance the applied force. FNet = Fa + Fg + Ff + FN is the result, and it represents the net force formula.
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A thermodynamic process occurs in which a system changes by -8 J/K. According to the second law of thermodynamics, what can you conclude about the entropy change of the environment? (a) it must be -8J/K or less (b) it must be equal to -8 J/K (c) it must be between -8J/K and zero (d) it must be zero (e) it must be between zero and +8J/K (f) it must be equal to +8J/K (g) it must be +8 J/K or more (h) we need to know the nature of the process to reach a conclusion (i) it is impossible for the system to have a negative entropy change.
The entropy change of the environment is an increase in entropy. So, it must be +8 J/k or more.
The second law of thermodynamics says that any spontaneously occurring process always affects escalation in the entropy (S) of the universe. In simple words, according to this law, an isolated system's entropy never decreases over time.
The law itself mentions that the entropy of an isolated system can't decrease. This is because isolated systems spontaneously evolve towards thermodynamic equilibrium. So, the entropy of the environment will increase.
In some cases the system may be in thermodynamic equilibrium or may go through a reversible process, then the total entropy of a system and its surroundings will remains constant.
The correct answer is option (g) it must be +8J/k or more.
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A dart with a mass of 0.6 kg is thrown at 10.8 m/s and sticks into a 1.9 kg apple hanging
on a string. What is the velocity of the dart and apple just after the dart is embedded?
Hello,
I hope you and your family are doing well!
To find the velocity of the dart and apple just after the dart is embedded, we can use the principle of conservation of momentum. According to this principle, the total momentum of a closed system (such as the dart and apple) is constant, meaning that the total momentum before and after an interaction (such as the dart being thrown) must be the same.
The momentum of an object is equal to its mass times its velocity, so the total momentum of the dart and apple before the dart is thrown is:
p1 = (0.6 kg)(10.8 m/s) + (1.9 kg)(0 m/s) = 6.48 kg*m/s
After the dart is thrown, the total momentum of the dart and apple is:
p2 = (0.6 kg)(v) + (1.9 kg)(v) = 2.5v kg*m/s
Since the total momentum before and after the interaction must be the same, we can set p1 equal to p2 and solve for v:
6.48 kgm/s = 2.5v kgm/s
v = 6.48 kgm/s / 2.5 kgm/s
v = 2.592 m/s
The answer is 2.592 m/s.
Please consider leaving 5 stars and brainliest if you find this answer helpful.
Happy Holidays!
Answer: To find the velocity of the dart and apple after the dart is embedded, you can use the principle of conservation of momentum. This principle states that the total momentum of an isolated system remains constant, unless acted upon by an external force.
In this case, the dart and apple form an isolated system, so their total momentum must remain constant.
The momentum of the dart before it is embedded is given by the formula p = mv, where p is momentum, m is mass, and v is velocity. The momentum of the dart is therefore 0.6 kg * 10.8 m/s = 6.48 kg*m/s.
After the dart is embedded, the total momentum of the dart and apple is also 6.48 kg*m/s. We can find the velocity of the combined system using the same formula, p = mv. The mass of the combined system is the sum of the masses of the dart and apple, or 1.9 kg + 0.6 kg = 2.5 kg.
Substituting these values into the formula, we get:
p = mv
6.48 kg*m/s = 2.5 kg * v
v = 2.592 m/s
This is the velocity of the dart and apple after the dart is embedded.
a 2kg ball rolls at a speed of 4m/s. if friction slows it down to 3m/s, how much work did it do?
The work done by friction in slowing down the ball from 4 m/s to 3 m/s is 7 J.
What is workdone?Work is said to be done whenever a body is moved by a force through a certain distance.
To calculate the work done by friction, in slowing down the ball, we use the formula below.
Formula:
W = m(u²-v²)/2........ Equation 1Where:
W = Work done by friction in slowing down the ballm = Mass of the ballv = Final speed of the ballu = Initial speed of the ballFrom the question,
Given:
m = 2 kgu = 4 m/sv = 3 m/sSubstitute these values into equation 1
W = 2(4²-3²)/2W = 2×7/2W = 7JHence, the work done by friction is 7 J.
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for a constant force, suppose the duration of impact on an object is doubled. a. how much is the impulse increased? b. how much is the resulting change in momentum increased?
Momentum is force * time. Momentum is also a change of momentum. that's why,
power * time
=
change in dynamics
For constant force, doubling the collision time doubles the momentum, resulting in a doubling of the momentum change.
The change in momentum is equal to the product of the change in mass and velocity. The mass remains the same because it is a constant value. It is the change in velocity that causes the change in momentum. The change in momentum is denoted by the symbol Δp.
What is the formula for momentum change?
1) The change in momentum is equal to the product of the change in mass and velocity. ⇒ΔP=m.
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Answer:
Explanation:
Momentum is force * time. Momentum is also a change of momentum. that's why,
power * time
=
change in dynamics
a hiker of mass 59 kg is going to climb to the top of mount tam, which has an elevation of 2,574 ft.part (a) if the hiker starts climbing at an elevation of 560 ft, what will their change in gravitational potential energy be, in joules, once they reach the top? assume the zero of gravitational potential energy is at sea level.
457280.13 8 J change in gravitational potential energy is needed.
where
m = 68 kj
H = 2574 ft
where = 32 5 ft
a )if Gravitational potential energy is zero at see level .
then at strating
point,
Equation
G. P . E ( Ui ) = mgh
Change in G PE ;
AU = UJ - Vi
= mgy- mgh = mg ( H-h)
= 68 x9.81 [2574 - 325 0.3048
AU = 457280' 138 Joules
at top
GPE ( Uf ) = mgy
P . E = 0
GPF = Gravitational potential Energy .
at Top ape = 0
b)then change in GPE ;
ΔU = U(top) - Vata
= 0 - [-mg ( 4-h )]
= mg ( H-h j
= 68 * 9 . 81 [ 257 4 - 325 ) 0.3048
ΔU = 45 7280 . 13 8 J.
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what is the final speed of the stationary ball if the incoming ball is much more massive than the stationary ball?
Similar to a head-on shot only with cue ball on a pool table, the projectile shall come to rest and the target will go off with an equal velocity for a head-on impact with a stationary vehicle of equal mass.
Is final velocity and speed same?It's easy to understand why. Velocity is the pace and orientation of an object's movement, whereas speed is really the time rate that an object is travelling along a path. In other words, velocity is a vector, whereas speed is just a scalar value.
How can a distance-time graph be used to determine final speed?The gradient of a line - of - sight graph is equal to the alteration in space divided by the difference in time. Thus, the grade of a graph of distance vs time is equal to the speed of a item whose motion is captured by the line that plots the changes in distance over time.
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as the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become —
When water erodes soil along the feature, the feature will most likely become wider.
What does the volcanoes' tectonic behavior imply?The creation of an island arc by the volcanoes indicates a converging plate boundary. A diverging plate boundary is shown by the line of volcanoes. Two plates clashing results in faulting and magma formation. These tectonic motions result in earthquakes, mountain formation, and volcanism.
How does the water change when a glacier melts?Temperature increases cause mountain glaciers to melt, changing the water supply. As the glacier melts, more water first moves lower and away from the glacier. The water supply will be diminished as the glacier retreats, and towns, cities, and farms could lose a significant source of water.
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what wavelength of light has a frequency of 1.8 x 1013 s-1? what is the energy of one photon of that light?
The energy of one photon of the light is 1.19 x [tex]10^{-11}[/tex] J.
What is Planck's equation?
According to this, electromagnetic radiation from heated bodies emits in discrete energy units or quanta, the size of which depends on a fundamental physical constant (Planck's constant).
We know that,
E = hν
Where,
E = Energy
h = Planck's constant
ν = Frequency
Note: Planck's constant has value of 6.63 × [tex]10^{-3}[/tex][tex]\frac{J}{s}[/tex]
Putting values in the given formula
E = 6.63 × [tex]10^{-3}[/tex] [tex]\frac{J}{s}[/tex] × 1.8 × [tex]10^{13}[/tex] [tex]s^{-1}[/tex]
E = 1.19 x [tex]10^{-11}[/tex] J.
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Draw a circuit diagram to show how water conducts electricity
Given is the diagram to show that water conducts electricity.
Water is a good conductor of electricity. The ions in the water conduct electricity because of their positive and negative charges. When the electrolytes tend to dissolve in the water, they get split into cation or positively charged and anions or negatively charged particles.
Take a beaker and fill it half with water.Connect a battery with a bulb and switch along with two rods as shown in figure.Put the rods in beaker.Turn on the switch.The bulb glows.Now remove water from beaker and then repeat the steps.
You will observe that bulb doesn't glow.
This experiment confirms that water is good conductor of electricity.
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Is the coefficient of friction between the sole of a shoe and a given surface the same as the coefficient of friction between the top of the same shoe (vamp of shoe) and the surface? Explain
With shoes without slip-resistant bottoms, the coefficient of friction on ice, wet, and oily surfaces can be as low as 0.1. On brushed concrete, rubber-soled shoes can produce a coefficient of friction greater than 1.0.
Does the coefficient of friction differ between different surfaces?The nature of both surfaces affects the coefficient of friction between two surfaces. For instance, a block of ice will have a different coefficient of friction on a surface made of copper than a block of wood will have on the same surface.
What is the amount of friction there is between the surface and the object?The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, it is represented by the Greek letter mu (). In terms of math, is equal to F/N, where F stands for frictional force and N for normal force.
Is the friction coefficient constant?Motionless items frequently experience greater friction than moving ones, requiring more power to set them in motion than to keep them there. The coefficient of friction between moving and stationary objects is not always the same.
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A 3,565 kg car moving at 27.2 m/s hits a stationary truck with a mass of 3,692 kg. If the two vehicles become stuck together in the collision, how fast do they move away from the point of impact?
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the car before the collision is 3,565 kg * 27.2 m/s = 97,068 kgm/s, and the initial momentum of the truck before the collision is 0 kgm/s, since it is stationary. After the collision, the two vehicles become stuck together and move away from the point of impact with a combined mass of 3,565 kg + 3,692 kg = 7,257 kg. Since the total momentum of the system must remain constant, the combined velocity of the two vehicles after the collision must be equal to the total initial momentum of the car and truck before the collision, or 97,068 kg*m/s.
Therefore, the combined velocity of the two vehicles after the collision is 97,068 kg*m/s / 7,257 kg = 13.4 m/s. This is the speed at which the two vehicles move away from the point of impact. Note that this is a bit less than half the initial speed of the car before the collision, which is expected since the combined mass of the car and truck is greater than the mass of the car alone, and the momentum of the system must be conserved.
roller coasters are popular attractions at amusement parks. a cart on a roller coaster approaches the highest point on the coaster. as the cart reaches the top, it slows down.
The roller coaster slows down as it ascends yet another hill. Potential energy is created from kinetic energy.
At the top of the loop, what kind of potential energy does the roller coaster have?The energy that an item has due to its height is called gravitational potential energy (PE = mgh), and it is equal to the mass of the object times its height times the gravitational constant. On a roller coaster, the gravitational potential energy is greatest at the top and lowest at the bottom. As the roller coaster speeds down the hill, the potential energy it had while on a slope is transformed into kinetic energy. The roller coaster slows down as it ascends yet another hill. Potential energy is created from kinetic energy.
How is a roller coaster propelled by energy?The roller coaster is propelled by the conversion of potential energy to kinetic energy, and after it has descended the first hill, it has all the kinetic energy it will require for the trip. Once you're moving, various wheel designs contribute to a pleasant ride. The coaster's running wheels direct it along the track.
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Gwen Goldfish, a speed swimmer, loves to race around the park’s pond, which is 1 kilometer around. If she can swim 20 laps around the track in 2 hours, what is her average speed?
The average speed of swimmer is 10 km/hr.
Speed is the rate of change of position of an object in any direction.
Distance is the total movement of an object without any regard to direction.
Given distance of pond is 1 km.
She swims 20 laps , i.e. total distance = 20 * 1 km = 20 km
Time taken to complete = 2 hr
There a relation between speed distance and time which is given by:
Speed = Distance / Time
⇒Speed = 20/2 = 10 km/hr
So the average speed of swimmer is 10 km/hr.
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A 65 kg speed skater is racing around a circular track. The track has a radius of 20 m. It
takes the skater 10 seconds to complete one lap. Calculate the skater’s acceleration
The acceleration of the skater is: 1.97 m/s²
What is acceleration?Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
Time, (t) = 10 sec
Frequency (F) = 1/t = 0.1 Hz.
Velocity, (V) = r × ω
V = 10 x (2 Π/10)
V = 6.28 m/s
Now, Centripetal acceleration,
a = v²/r
or, a = (6.28)²/20
or, a = 1.97 m/s².
Now, the acceleration of the skater is: 1.97 m/s².
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A 2100-kg car is traveling at 25 m/s when it crashes into the rear end of a 1650-kg
car traveling at 21 m/s in the same direction on nearly frictionless ice. The two cars
become stuck together and slide on the ice. How fast do the two cars move together
immediately after the collision?
A)22 m/s
B)23 m/s
C)21 m/s
D)18 m/s
The two cars will move with a velocity of 23m/s(optionB)
What is linear momentum?Linear momentum is the product of a system’s mass and its velocity. In equation form, linear momentum p is
p=mv.
Where m is the mass of the body and v is the velocity at which it moves.
The momentum of the first call = 2100× 25=52500kgm/s
The momentum of the second car = 1650×21= 34650kgm/s
The total momentum before collision = 52500+34650=87150kgm/s
momentum after collision= (2100+1650)v= 3750v
law of conservation of Linear momentum states that; momentum before collision = momentum after collision
Therefore 87150= 3750v
v = 87150/3750
v= 23m/s( nearest whole number)
Therefore the velocity of the two cars after collision is 23m/s.
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what is the magnitude of the momentum of a billiard ball if it is traveling with a velocity of 3m/s due to east, and has a mass of 0.2 kg?
This is the magnitude of the momentum of the billiard ball is 0.6kgm/s.
The magnitude of the momentum of an object is given by the formula
p = mvwhere m is the mass of the object and v is its velocity. Substituting the given values, we find that
p = (0.2 kg)(3 m/s) = 0.6 kgm/s.Momentum is a measure of an object's tendency to continue moving in a straight line at a constant velocity. It is defined as the product of the object's mass and its velocity. The magnitude of an object's momentum is a measure of its strength or force and is directly proportional to the object's mass and velocity.
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Please help! Will mark brainliest
Answer:
Runner B
Explanation:
its just displacement over change in time
Twin sisters Paola and Maria have a slight difference in their handwriting. Paola slants her letters more than Maria does. Which of the following elements BEST describes the area in which their handwriting differs?
A.
mechanical
B.
physical
C.
style
D.
emotional
Answer:
C. Style
Explanation:
Because if your letters are slanted, it's not mechanical, is it? Neither is it emotional, since that's just not right. As for physical, how is your letters being slanted physical? Therefore, the best answer would be C. Style.
Brainliest, Please!Compare the magnitude of the electromagnetic and gravitational force between two electrons separated by a distance of 2.00 m. Assume the electrons have a mass of 9.11 × 10–31 kg and a charge of 1.61 × 10–19 C. Round to two decimal places. Fe = × 10–29 N Fg = × 10–71 N F Subscript e baseline over F Subscript g baseline.= × 1042
Two metal spheres with the same charge, q, are in contact and experience an electrostatic force of magnitude F. 2.3x10 N 66.
What connection can be seen between the mass of the items, their distance from one another, and the strength of the gravitational pull between them?A mass-bearing item will pull toward another mass-bearing object. The strength of the force is directly proportional to the masses of the two objects and inversely proportional to the square of their distances from one another.
How much do two electrons separated in space weigh in terms of electrostatic and gravitational forces?Consequently, the ratio of electric to gravitational force between two electrons is 4.17 1042.
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nuclear decay occurs according to first-order kinetics. a nuclide decays in 3.40 days from 45.0 g to 12.1 g. what is the rate constant for the nuclide?
The equilibrium law for the nuclide is 0.388 days per one, according to the release.
We may make comparable calculations using the half-lives of isotopes to calculate the ages of geological and archaeological objects since nuclear decay reactions follow first-order kinetics and have a rate constant that is independent of temperature and the chemical or physical environment.
The elimination rate in relation to the total plasma concentration is the primary distinction between zero and first-order kinetics. No matter the plasma concentration, zero-order kinetics exhibit constant elimination, which is followed by a linear elimination phase as the system reaches saturation.
The first-order radioactive decay law states that the number of radioactive atoms (N) present at time t determines the rate of decay (number of disintegrations per second) i.e. N = No e-λt
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if a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion?
When the length of a simple pendulum, which oscillates with minimal amplitude, is doubled, the frequency of the oscillation stays the same.
What is the meaning of amplitude?
In physics, amplitude refers to the greatest displacement or distance that a spot on a vibration or wave can move relative to its equilibrium location. It is equal to the half-length of the vibration path.
What is the amplitude measured in?
The amplitude, which is measured in metric units (m), is the largest displacement that a medium's particles can experience from their average positions during the propagation of a wave. Meters are the SI unit of displacement. So, the amplitude unit in SI is the meter.
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How much work is done by a 10 N frictional force which slows a moving block to a stop after a displace ment of 5.0m to the right?
a) 50J
b) -50J
c) 25J
d) -25J
Answer:
a)
Explanation:
work done = Fscosθ
=(10)(5)(cos0⁰)
=50J
how far does a single point on a string move during one period of a transverse wave that passes by that point?
Distance between two waves' crests or troughs , λ = v/k
What is distance?
Distance is the sum of an object's movements, regardless of direction. Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has traversed.
The speed at which a wave moves with particles oscillating about their mean location is known as its way velocity.
v = kλ is the formula for calculating wave velocity.
Where f represents the wave frequency or the number of waves passing through a place in a given amount of time.
The distance between two waves' crests or troughs that follow one another = λ
therefore distance, λ = v/ki
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