The angular momentum of the particle in the x-component, y-component, and z-component are 3.12, 2.84, and 1.19 kg.m/s² respectively.
What is angular momentum?Angular momentum can be defined as the rotational form of linear momentum. Angular momentum is a physical conserved quantity.
The angular momentum in the terms of linear momentum can be represented as:
[tex]\displaystyle \vec L= \vec r\times \vec p = m\vec r \times \vec v[/tex]
Given, the mass of the particle, m = 70 Kg
The displacement of the vector of the particle, [tex]\vec r = (5.0, -5.5)[/tex]
The velocity of the vector of the particle, [tex]\vec u = (3.2, 0, -8.1)[/tex]
The angular momentum of the particle, L can be calculated as:
[tex]\displaystyle \vec L= m\vec r \times \vec u[/tex]
[tex]\displaystyle \vec L= m(5.0,-5.5, 0)\times (3.1,0,-8.1)[/tex]
[tex]\displaystyle \vec L= 0.070 \times (44.55, 40.5, 17.05) .Kg.m/s^2[/tex]
[tex]\displaystyle \vec L= (3.12, 2.84, 1.19) \; kg.m/s^2[/tex]
Therefore, the x-component of angular momentum = 3.12 kg.m/s²
The y-component of angular momentum = 2.84 kg.m/s²
The z-component of angular momentum = 1.19 kg.m/s²
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the orientation of an mrna codon relative to a trna anticodon is best described as: a. antiparallel. b. parallel. c. perpendicular. d. non-complementary.
The orientation of an mRNA codon corresponding to a tRNA anticodon is best described as A: antiparallel.
An anticodon is a three-base sequence, paired with a particular amino acid, that a tRNA molecule brings to the associated codon of the mRNA during translation. The anticodon sequence is said to be complementary to the mRNA, using base pairs in the anti-parallel direction. The tRNA anticodon 3-UAC-5 will make pair with the mRNA codon.
Thus, the orientation of an mRNA codon relative to a tRNA anticodon is said to be antiparallel.
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How do we sip water from glass using straw?can we sip water with straw on moon?
A runner begins a race from rest and reaches a final speed of 22mph. It takes 3.45s. If the runner's mass is 76.4 kg and 1 mile = 1,609.34m. A) What is the runner's acceleration?
B) What is the magnitude of the downward force acting on the runner?
Acceleration:
a = (22 mph - 0 mph) / (3.45s) = 6.37 mph/s
Magnitude of the Downward Force:
F = m*a = 76.4 kg * 6.37 mph/s = 484.53 N
Metal panels that are designed to act as stressed-skin panels are attached directly to the structural frame of the building with
a. bags
b. straps
c. clips
d, mats
Metal panels that are designed to act as stressed-skin panels are typically attached directly to the structural frame of the building using straps, clips, or mats.
Straps are typically used to connect the panel to a supporting member, while clips are used to secure the panel to a non-supporting member. Mats are used to provide additional support for the panel and to distribute the load evenly across the panel.
This is beneficial for the structural integrity of the building since it ensures that the panel will not be subjected to too much stress in one specific area. Additionally, it allows for better load distribution, which can help to reduce the overall weight of the building, as well as reduce stress on the individual panels.
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The amount of energy released in the cellular respiration is similar to the amount released when methane reacts with oxygen. Why does our body not burn?
Each step of the energy released during cellular respiration is accompanied by the synthesis of ATP. Only a tiny fraction of energy is converted to heat that's why our body doesn't burn.
In a nutshell, what is cellular respiration?The process through which organisms use oxygen to break down food molecules in order to get chemical energy for cellular processes is known as cellular respiration. The cells of animals, plants, and fungi, as well as those of algae and other protists, all engage in cellular respiration.
What is the location of cellular respiration?Cells produce energy through a process called cellular respiration. Prokaryotic and eukaryotic cells both have mitochondria and cytoplasm where cellular respiration takes place.
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If α=40°, β=60°, and M=4.0 kg, determine the tension in string 1 shown.
The magnitude of the tension in string 1 is 20 N.
option D is the correct answer.
What is the tension in string 1?The magnitude of the tension in string 1 is calculated by applying the following kinematic equation.
T₁ cosα + T₂ cosβ = W cos90 ---- ( 1 )
T₁ sinα + T₂ sinβ = W sin90 ----- ( 2 )
Substitute the given values for β and α, to determine the value of Tension T₁ and Tension T₂.
-T₁ cos(40) + T₂ cos(60) = W cos90
-0.766T₁ + 0.5T₂ = 0
0.5T₂ = 0.766T₁
T₂ = ( 0.766T₁ ) / 0.5
T₂ = 1.53 T₁ ----- (3)
T₁ sinα + T₂ sinβ = W sin90
T₁ sin(40) + T₂ sin(60) = (4 x 9.8) sin90
0.64T₁ + 0.886T₂ = 39.2
Substitute the value of T₂ into the above equation as shown below.
The tension in string 1 is calculated as follows;
0.64T₁ + 0.886(1.53 T₁) = 39.2
0.64T₁ + 1.33T₁ = 39.2
1.97T₁ = 39.2
T₁ = 39.2 / 1.97
T₁ = 19.99 N ≈ 20 N
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Which diagram shows the correct setup for an electromagnet?
O A.
O
O
B.
Battery.
Battery.
- Battery
Ammeter
A
Ammeter
A
Ammeter
A
个
Battery
✓
SUBMIT
Answer:
B
Explanation:
You want the diagram that shows the correct setup for an electromagnet.
ElectromagnetAn electromagnet is defined as a soft metal core that becomes a magnet when current is passed through a coil around it. Only diagram B shows a coil around a metal object. That coil is arranged in a circuit with a battery so that current will flow through the coil.
Diagram B shows the correct setup for an electromagnet.
Two runners race each other around a circular track. The track is 500 meters long and 159 m across (the diameter of the circle). Runner A trips at the half- way mark and doesn't get up Runner B finishes the race. Is there a difference? Explain with a diagram: Which runner has the greater displacement? Which ran the greatest distance?is there a difference?explain with a diagram
The higher displacement [highest increase in bare ground from the start position] is caused by Runner A. Runner B traveled the furthest, covering the entire track.
Simply put, what is displacement?The verb "to displace" refers to the movement or removal of anything. The location of an object is changed, which is the definition of displacement.
What is a displacement example?Change in quite an object's location in relation to an image plane is known as displacement. For instance, a billiards ball travels from one spot to another because a player strikes it. It is alleged to have moved. A vector quantity with both speed and phase is displacement.
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There exist two parallel 1 m x 1 m x ~0 m (infinitesimally thin) conducting plates sitting
parallel to each other and the xz-plane. The positively charged plate is at y = 0, and the negatively
charged plate is at y = 0.01 m. An electron is released from rest in between the charged plates. Explain
why the electron moves in the proper direction in terms of the forces acting on the electron.
An electric field is a region in which electric charges sustain electrical conduction. An electric field describes the electrical environment around an electron.
What is meant by electric force?The electric force is the force between two charged bodies due to electric charges. The electric field at a point indicates the force experienced by a positive unit test charge at that point.
In this case, electrons move to higher potentials. Since the electric field is directed from the positive plate to the negative plate, electron acceleration occurs towards the negative plate and the negative plate is deflected towards the positive plate.
In this case, the electrostatic force is F = E q,
Here the electric field E = V/d is constant and the charge on the electron is constant, so the force on the electron is constant. Hence, the electron moves in the proper direction in terms of the forces acting on the electron.
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A Method for Calculating the Spring Constant of Atomic Force Microscopy Cantilevers with a Nonrectangular Cross Section
a. true
b. False
False. A Method for Calculating the Spring Constant of Atomic Force Microscopy Cantilevers with a Nonrectangular Cross Section is not a valid statement.
This is because the spring constant is not affected by the shape of the cantilever, but is instead determined by the material used in its construction, the number of coils in its spring, the wire diameter of its spring, and the amount of tension placed on the spring. Therefore, the statement is incorrect and cannot be used to calculate the spring constant of atomic force microscopy cantilevers with a nonrectangular cross section.
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Calculate the energy used when is ship's anchor which 4, 000N is lifted up from the sea bed which is 50m below the ship
Explanation:
Work done = force × distance
= 4,000 × 50
= 200,000 joules
What is the gravitational force on a 987 kg satellite orbiting
5.1 × 10⁴ m above the surface of Earth? Assume the mass of Earth is
5.97 × 10²⁴ kg.
Answer:
The gravitational force on the satellite can be calculated using the formula:
F = G * ((m1 * m2) / r^2)
Where:
F is the gravitational force
G is the gravitational constant (6.67 × 10^-11 N*m^2/kg^2)
m1 is the mass of the first object (in this case, the satellite)
m2 is the mass of the second object (in this case, Earth)
r is the distance between the two objects
Plugging in the given values, we have:
F = (6.67 × 10^-11 N*m^2/kg^2) * ((987 kg * 5.97 × 10²⁴ kg) / (5.1 × 10⁴ m)^2)
= 9.06 × 10^-6 N
Therefore, the gravitational force on the satellite is approximately 0.00000906 N.
Explanation:
What's one major difference between the earth's greenhouse effect and an actual greenhouse?
Select one:
a.
Heat escapes from a greenhouse more easily than it does from Earth's atmosphere
b.
The glass in a greenhouse traps heat, while greenhouse gases in the atmosphere absorb and recycle heat
c.
There is no significant difference; both work pretty much the same way
d.
Actual greenhouses are cold in winter, while the greenhouse effect has led to warm winters across the earth
The difference between the earth's greenhouse effect and an actual greenhouse is that the glass in a greenhouse traps heat, while greenhouse gases in the atmosphere absorb and recycle heat. That is option B.
What is a green house gas?The greenhouse gas is the type of gas that is found in the earth's atmosphere that has the ability to absorb heat from the earth's environment.
Examples of greenhouse gases include the following:
carbon dioxide, methane, nitrous oxide, and water vapor.An ordinary greenhouse is used to grow crops such as tomatoes and tropical flowers. Heat is bring trapped inside these houses as the sun shines during the day time.
Therefore, it can be concluded that the major difference between the earth's greenhouse effect and an actual greenhouse is that the glass in a greenhouse traps heat, while greenhouse gases in the atmosphere absorb and recycle heat.
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The immediate source of the intercellular fluid surrounding
all human body cells is
A) blood plasma
B) enzymatic secretions
C) glomerular filtrations
D) lymphatic tissue
Answer: lymphatic tissue
Explanation:
a car moving at 20m/s applies breaks and slides to stop in 5 second. find the coefficient of friction?
The friction is the stopping force. and the coefficient of friction is 0.4
What is Friction ?Friction is a force that opposes motion. It is a vector quantity and it is measured in Newton.
Given that a car of mass 1200 kg is moving at 20m/s applies breaks and slides to stop in 5 second.
The acceleration of the car can be found by
v = u - at
Where
v = 0u = 20 m/st = 5 sa = ?Substitute all the parameters
0 = 20 - 5a
5a = 20
a = 20/5
a = 4 m/s²
Frictional force F = ma
F = 1200 × 4
F = 4800N
Also, F = μN
Where μ = the coefficient of friction
N = normal reaction = mg
N = 1200 × 9.8
N = 11,760 N
Substitute N and F into the formula
4800 = 11760μ
μ = 4800/11760
μ = 0.4
Therefore, the coefficient of friction is 0.4
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If you have no weight in outer space (ie. far from any planet or star or any other massive object) what is the acceleration due to gravity that you would experience?
If you have no weight, then the acceleration due to gravity is zero.
What is the acceleration due to gravity?We know that the acceleration due to gravity of the object would have to be the acceleration that would be granted to a body because it is within the sphere of the gravitational pull of the earth.
We must know that the weight of the object is the product of the mass and the acceleration due to gravity. If the object is weightless, the implication of that is that the acceleration due to gravity is zero at that point.
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a 0.40 kg object is moving on a frictionless surface with a speed of 30 m/s. A force of 2.0N is applied continually until the velocity of the object has been reversed. How long was the force applied?
The time the force was applied to the obeject of mass 0.4 kg is 12 seconds
What is impulse?
Impulse is the product of force and time.
To calculate how long the force was applied, we use the formula of impulse.
Formula:
Ft = m(v-u).................. Equation 1Where:
F = Forcet = Timem = Massv = Final velocityu = Initial velocityFrom the question,
Given:
m = 0.4 kgv = -30 m/s (reversed)u = 30 m/sF = -2.0 N (Acting against the direction of motion)Substitute these values into equation 1 and solve for t
-2.0t = 0.4(-30-30)-2.0t = -24t = -24/-2t = 12 secondsHence, the time is 12 seconds
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A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass falling toward the earth, collides with the satellite completely elastically. The speed of the satellite and the meteorite just before collision are the same The subsequent motion of the combined body will be
a) in circular orbit of different radius
b) in a circular orbit of radius R
c) in an elliptical orbit
d) such that it escapes to infinity
According to the previous statement, the subsequent motion of the combined body will be in an elliptical orbit. Correct answer: letter C.
When two objects of the same mass collide in a completely elastic manner, their combined motion will be a combination of their original motions. In this case, the satellite and the meteorite had the same velocity just before the collision, so the combined motion will be an elliptical orbit.
The law of conservation of momentum states that the total momentum of a system remains constant. This means that in a collision, the total momentum of the system after the collision will be equal to the total momentum of the system before the collision, or:
Momentum Before Collision = Momentum After CollisionIn the case of two objects of the same mass colliding completely elastically, the momentum of an object before the collision is equal to the mass of the object multiplied by its velocity. Therefore, the total momentum before the collision is equal to twice the momentum of one object before the collision.
After the collision, the total momentum of the combined body will be equal to the total momentum of the system before the collision, which is equal to twice the momentum of one object before the collision. This means that the combined body will move in an elliptical orbit with the same speed and direction as the original objects before the collision.
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in a certain town ,50% of the households own a celullar phone,40% own a pager, and 20% own both a cellular phone and a pager. what is the probability that a randomly chosen household own either a cellular phone or a pager?
Answer:
0.18
Explanation:
20/110=0.18
Immersion rods for heating liquids are made up of metallic substances.
Metals are good conductors of both heat and electricity, immersion rods are constructed of metallic materials. In order to heat the liquid, electricity is transferred through the immersion rod, which also needs to be a good conductor of electricity.
What is Metallic?The set of chemical characteristics connected to the elements included in the periodic table's metals category is referred to as having a metallic character. An element's capacity to lose its outer valence electrons determines whether or not it has metallic properties. Thermal and electrical conductivity, metallic brilliance, hardness, ductility, and malleability are a few examples of characteristics that are associated with the metallic character. Francium is the most "metallic" element, followed by cesium. Generally speaking, the metallic character grows as you move toward the periodic table's lower right corner.
What is Electricity?Electricity is a phenomenon involving electrical charges, either moving or fixed. A fundamental characteristic of matter, electric charge is carried by elementary particles. The electron, a particle involved in electricity, has a charge that is typically referred to as negative. The accumulation or motion of numerous electrons is what causes electricity's different manifestations.
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Several motorboats with the same mass are used in an experiment. the forces of the different motors versus their accelerations are graphed. what is the y-intercept of this graph?
The y-intercept of a graph is the point at which the graph crosses the y-axis. In this case, the y-intercept of the graph showing the relationship between the motor's force and the boat's acceleration would represent the force required to produce zero acceleration.
In this scenario of the boats being used in an experiment, if the boats have the same mass and the motors are producing force, and the forces are graphed against the acceleration, this will give us a straight line, and the y-intercept of this graph will be the force required to keep the boat at a zero acceleration, this force is known as "friction force" which includes the friction force of the water and the friction force of the bearings in the motor and other mechanical parts in the boats and motor.
It's worth noting that, in practice, getting the y-intercept in this experiment might be very hard as it's very rare to get zero acceleration. Still, one can aim for the lowest possible acceleration, and the force measured can be considered as an approximation for the friction force.
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Find the magnitude of the sum of these two vectors.
Answer:
sol:
tanβ=[tex]\frac{101*sin(60)}{85+101*cos(60)}[/tex]
β=[tex]tan^{-1}[/tex](0.64552)
β=32.84
therefore, the direction is 32.84
A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.8×106 m/s.
What is the proton's speed as it passes through point P?
Express your answer to two significant figures and include the appropriate units.
The proton's speed as it passes through point P is Vp = 1.72 × 10^6 m/s
What is a proton?A proton is described as a stable subatomic particle, symbol p , H⁺, or ¹H⁺ with a positive electric charge of +1 e elementary charge.
From the question have the following parameters
A fixed charge, Q = -10 nC
Initial position of charge particle, proton (q), ro = 3mm
Final position of charge particle, proton (q),
rp = 4mm
Initial velocity of charged particle,
vo =2.8 x 10^6 m/s
Let
vp be the final speed of proton
We then Apply conservation of Energy:
Initial (Potential + kinetic) Energy = Final (Potential + kinetic) Energy
kQq ro + 1/2mVo² = kQq rp + 1/2mVp²
m = 1.67 x 10^-27
Substituting the values and converting from mm to meters, we have that)
Vp = 1.72 × 10^6 m/s
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Determine an expression for the time from when the block collides with the spring to when the spring reaches maximum compression
Answer:
1/2 m v^2 = 1/2 k x^2 energy of block will be transferred to spring
1/2 m (x/t)^2 = 1/2 k x^2 x/t max speed of block
t^2 = m / k
t = (m/k)^1/2 = 1 / ω since ω = (k / m)^1/2 for SHM
ω = 2 π f = 2 π / T where T is period
T = 2 π * (m / k)^1/2
t = T / 4 = π / 2 * (m / k)^1/2 1/4 period needed for 1/4 oscillation
Air flows through this tube at a rate of 1100cm³ / s. Assume that air is an ideal fluid.
(Figure 1)
What is the height h of mercury in the right side of the U-tube?
Express your answer with the appropriate units.
h = ____ ____
The height of the mercury on the right side of the tube is 3.69 cm.
What is the height of the mercury on the right side of the tube?The height of the mercury on the right side of the tube is determined as follows:
Using Bernoulli's equation;
p₁ + ¹/₂ρv₁² = p₂ + ¹/₂ρv₂²
p₁ - p₂ = ¹/₂ρ(v₁² - v₂²)
From the continuity equation;
A₁v₁ = A₂v₂
v₁ = A₂v₂ / A₁
v₁ = A₂v₂ / π(r₁/2)²
The rate of airflow in the tube (A₁v₁ = A₂v₂) is 1100 cm³/s
Substitute the values in the equation above;
v₁ = 1100/π(/2)²
v₁ = 350.14 cm/s or-3.50 m/s
Also, v₂ = A₁v₁/A₂
v₂ = 1100/ π(0.4/2)²
v₂ = 8753.5 cm/s or 87.5 m/s
The pressure difference in the U-shaped tube is
p₁ - p₂ = ρ'gh
where;
ρ' is the density of mercury = 3.6 * 10³ kg/m³
Solving for h in the equation above;
h = p₁ - p₂ / ρ'g
Note that p₁ - p₂ = ¹/₂ρ(v₁² - v₂²)
Therefore, h = ¹/₂ρ(v₁² - v₂²) / ρ'g
Substituting the values in the equation;
h = ¹/₂(1.29 )((87.5) - (3.50)) / (13.6 * 10³)(9.8)
h = 0.0369 m or 3.69 cm
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Why dose earth have a liquid water supply and the moon dose not
Answer:
Because that is how God created things
Explanation:
A wire X of Resistance 200, is replaced by wire Y of Resistance 35 A. Both wires are made of the same material, Wire Y is double the area of wire X Wire Y has a length of 2.5m.
Find the length of wire X
Length
- If wire X is connected to a battery of emf-12V. Calculate the current in the wire.
Current
-Calculate the charge passing through the wire in 5 minutes
Charge.
iv-Calculate the Energy consumed by the wire in half an hour.
(a) The length of wire X is 7.14 m.
(b) The current in the wire is 0.06 A.
(c) The charge passing through the wire in 5 minutes is 18 C.
(d) The Energy consumed by the wire in half an hour is 1,296 J.
What is the length of wire X?
The length of wire X is calculated by applying the following formula as shown below;
ρ = RA / L
where;
R is the resistance of the wireA is the area of the wireL is the length of the wireSince the wires are made of the same material, resistivity of wire X = resistivity of wire Y
let wire X = 1
let wire Y = 2
R₁A₁ / L₁ = R₂A₂ / L₂
L₁ = ( R₁A₁L₂ ) / ( R₂A₂ )
L₁ = ( 200Ω x A₁ x 2.5 m ) / ( 35Ω x 2A₁ )
L₁ = 7.14 m
The current flowing in wire X is calculated as follows;
V = IR
I = V / R
where;
V is the voltageR is the resistanceI = ( 12 V ) / ( 200Ω )
I = 0.06 A
The charge passing through the wire in 5 minutes is calculated as follows;
Q = It
Q = 0.06 A x ( 5 x 60 s )
Q = 18 C
The Energy consumed by the wire in half an hour is calculated as;
E = Pt
where;
P is powert is timeE = (IV) x ( t )
E = ( 0.06 A x 12 V ) x ( 30 mins x 60 s )
E = 1,296 J
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If M^aL^bT^c is the dimensional formula of force, find 2a - b-c.
Answer:no
Explanation:
no
A 1.2 kg object hanging from a spring of force constant 300 N/m oscillates with a maximum speed of 30 cm/s. (a) What is its maximum displacement? When the object is at its maximum displacement, find (b) the total energy of the system, and (c) the gravitational potential energy. (Choose potential energy as zero when the object is in equilibrium).
The maximum displacement = 0.0189 m
The Total energy of the system = 1.188 J
The Gravitational potential energy = 0.22 J
Let m be = Mass of the object = 1.2 kg
As given K = Spring Constant of the spring = 300 N/m
Let v denote = Maximum speed with which the body oscillates = 30 cm/s
Let 'x' be the maximum displacement of the body
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy= kinteric energy+potential energy =kx²/2 + mv²/2
=1.188J
The Gravitational potential energy of the system is
E=Mgx=1.2*9.8*0.0189
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The 1.2 kg object's maximum displacement when it is suspended from a spring with a 300 N/m force constant oscillates at a maximum speed of 30 cm/s. This displacement is equal to 0.0189 m.
How to calculate displacement and energy?When the object is displaced to its maximum, the system's total energy is 1.188 J.
The energy of gravity is equal to 0.22 J.
Allow m to be equal to 1.2 kg, the object's mass.
K = Spring as stated. Springs have a constant of 300 N/m.
the body can oscillate at a maximum speed of 30 cm/s (let v signify this).
Suppose that "x" represents the body's largest displacement.
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy = interstellar energy + potential energy = kx2/2 + mv2/2
=1.188J
According to the system's gravitational potential energy,
E=Mgx=1.2*9.8*0.0189
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An atom of an element can change into an atom of another element if it is:
A. extremely stable
B. radioactive and it's nucleus can trap or emit particles
C. an ion and it's atomic number is larger than it's mass number
D. an isotope and it has more electrons than neutrons
Answer:
B. radioactive and it's nucleus can trap or emit particles
Explanation:
Each element is unique because of the number of protons it possesses. All the atoms of one particular element will have same amount of protons. Thus, if I want to change an atom of an element into atom of another element, i must have a way to mess with the proton count and such. These are seen in radioactive process like fusion, fission, nuclear decay etc.