What is Conservation: Definition and 999 Discussions

Conservation biology is the study of the conservation of nature and of Earth's biodiversity with the aim of protecting species, their habitats, and ecosystems from excessive rates of extinction and the erosion of biotic interactions. It is an interdisciplinary subject drawing on natural and social sciences, and the practice of natural resource management.The conservation ethic is based on the findings of conservation biology.

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  1. jisbon

    Conservation of momentum and energy

    So to start off, the piece that hits the ground first is the smaller piece. So I can form the equations where: where ##8(u_{8kg})= m_{1}v_{1}+m_{2}v_{2}## ##m_{1}+m_{2}= 8## After 2 seconds, ##30 = v_{1}(2)+\frac{1}{2}at^{2}## ##v_{1}= 5.2m/s## ##(30-16) = v_{2}(2)+\frac{1}{2}at^{2}## ##v_{2}=...
  2. jisbon

    Conservation of Energy and change in the length of a spring

    Hola! So my first approach to this is use both the conservation of energy and momentum equations since collision between the first two objects are elastic. Let the 3 blocks be a,b and c (from left to right) Does this means the following: whereby ##v_{a} ##= speed of block a after collision...
  3. D

    Bicycles: Question about Energy Conservation

    I just have a basic physics question about bicycles that has been confusing me. Consider three situations. In the first situation a person, of mass m, is running down a street at constant velocity v1. In this case the person is converting energy stored in their body into translational kinetic...
  4. M

    Conservation laws in Newtonian and Hamiltonian (symplectic) mechanics

    In Newtonian mechanics, conservation laws of momentum and angular momentum for an isolated system follow from Newton's laws plus the assumption that all forces are central. This picture tells nothing about symmetries. In contrast, in Hamiltonian mechanics, conservation laws are tightly...
  5. S

    I Apply Conservation Law to Euler-Lagrange Equation

    In my most recent thread, I discussed the conservation law involving the 4-velocity vector: gab(dxa/dτ)(dxb/dτ) = -c2 Now, I've read that you can apply this law to the Euler-Lagrange equation in order to get some equations that are apparently equivalent to the geodesic equations. Now here is...
  6. S

    I Learn About Conservation Law & Geodesic Equation

    In my quest to learn how to solve the geodesic equation, I came across this law which apparently holds true for all metrics (according to what I read): gab(dxa/dτ)(dxb/dτ) = -1 Well, I tested this formula out with Minkowski space (- + + + signature): If I understand correctly, then in...
  7. F

    I Doesn't the superposition in energy violate the conservation of energy

    It is said that for a particle in a box the energy is in a superposition. If indeed that is the case what happens when a measurement is made where does the excess energy go. Of course, that is based on my understanding is that superposition is a real physical and not platonic.
  8. A

    Conservation of energy / work problem

    If someone could advise what I've done wrong it would be much appreciated. How have they eliminated the initial and final for y, and simplify only to y? Also, how did they simplify to a positive 2? What algebraic steps have I missed? Thanks for your help.
  9. Alfredo Tifi

    I The Symmetry of Angular Momentum Conservation

    I suppose that the principle of conservation of angular momentum holds also for a cloud of particles weekly interacting at low pressure, density and temperature. And it should be still applicable when the particles or the atoms would start condensing and forming fusion products or simply solid...
  10. PainterGuy

    Equalization of velocity components and momentum conservation

    Hi, I understand and I'm sorry that there are going to be many loopholes in what I'm trying to put together and that too without any mathematical formulation but I don't even know where and what to start with. Suppose we have a finite length insulated hollow cylinder filled with with air at 1...
  11. Benjamin_harsh

    Laws of conservation of momentum?

    Problem Statement: Are this 3 topics comes under laws of conservation of momentum? Relevant Equations: Are this 3 topics comes under laws of conservation of momentum? Are this 3 topics comes under laws of conservation of momentum: energy lost due to impact, inelastic impact, purely elastic...
  12. olgerm

    I Hubble's law and conservation of energy

    2 bodies that have distance d between them are distancing from each other because Hubbles law. at time t=0 distance between them was d(0) and speed between them was 0. If no force interacts with them then distance is increasing by rate ##\frac{\partial d}{\partial t}=H_0*d## Is it correct...
  13. mPlummers

    I Forbidden decays and conservation laws

    Problem Statement: Hello! I'm trying to learn how to know if a particular interaction is allowed or forbidden. I found 3 decays which i can't understand. Relevant Equations: The decays are: 1) \eta \rightarrow \pi ^{0}+\gamma 2) \phi \rightarrow \rho^{0}+\gamma 3) \eta \rightarrow \pi...
  14. EEristavi

    Energy Conservation in Angular motion / Moment of Inertia

    I write Conservation of Energy: Potential Energy loss(change): U = m g ##\Delta##h = m g (R+r) (1-cos##\alpha##) kinetic Energy gain(change): K = (##\frac {m v^2} 2## + ##\frac {I \omega^2} 2##) + (##\frac {M v_2^2} 2## + ##\frac {I_2 \omega_2^2} 2##) U = K m g (R+r) (1-cos##\alpha##) =...
  15. J

    Wet wheel and conservation of momentum

    A cyclist coasts along a road, he drives across a small puddle of water, after which the wheels leave wet lines on the road. Now we concentrate our attention to the linear momentum of the water on a wheel. It decreases. Momentum is conserved, so what got the momentum that the water had?
  16. J

    Conservation of Momentum (Elastic Collisions)

    Part (iii) is the part I am stuck on and is a 5 mark question. I have some idea of how to attempt it shown below momentum is conserved so mux = mvy + mvz (where ux is the initial velocity before the collision of ball x, vy is the velocity after the collision of ball y and vz is the velocity...
  17. kevv11

    Merry Go Round conservation of angular momentum

    So, I was reading my textbook in the section regarding net torque, and they gave an example of a seesaw with one person at each end, and they said that there is a net external torque due to the force of gravity on each person. I completely understand that; however, when I was reading another...
  18. Lone Wolf

    Conservation of energy for a block on an incline plane

    Let v be the speed of the block and x elongation of the spring beyond the equilibrium point. Initially, v = 0 and x = 0. At the maximum elongation, the block also has v = 0, it has moved a distance equal to x (parallel to the plane) and the variation of height is equal to -x⋅sin(53°). W(FNC) =...
  19. Jehannum

    Is Newton's First Law a conservation law?

    I'm thinking through a few basic things - hopefully in a new way. One thing that struck me is that momentum (mv) and energy (e.g. 0.5mv^2) can be conserved but velocity is not. For one thing, velocity is relative, of course. I'm wondering whether there's a quantity a bit like velocity but not...
  20. C

    B Energy conservation in nuclear fission

    Hi all, I struggle to understand how energy is conserved I fission. If the binding energy per nucleon increases, surely the mass defect simply accounts for that difference to conserve energy before and after. How does the mass defect account for the kinetic energy of the fission fragments as well?
  21. R

    Question About Conservation of Energy, the Cosmological Constant and Dark Energy

    I am confused about the cosmological constant and dark energy. In the most accepted theory, energy is created as the vacuum of space expands. This contravenes the conservation of energy. The law of conservation of energy does not hold in curved spacetime but isn't our universe flat spacetime ...
  22. A

    Does gravity defy the law of conservation of energy?

    If we have an object in space (deep space where it is under no other gravitational influence) and we push it a little so that it gains some velocity and after some time comes into the influence of a planet's gravitational field and crashes on it. Where is that energy from the crash coming from...
  23. K

    Hooke's Law vs. Conservation of Energy

    Here are the two questions I want to compare: 1. A student of mass 62 kg stands on an upholstered chair containing springs, each of force constant 2.4 × 103 N/m. If the student is supported equally by six springs, what is the compression of each spring? 2. A 0.20-kg ball attached to a vertical...
  24. Harperchisari

    The energy conservation issue with parallel charged plates with a hole.

    A while back I thought of an issue with parallel charged plates. Imagine this: a set of opposite charged resistive plates with holes in the center. In theory, there is a finite amount of energy required to push a positive charged particle through the hole in the positive plate (in theory it...
  25. WhiteWolf98

    Fluid Dynamics - Mass Conservation, State Equation for an Ideal Gas

    I understand that ##\dot m=\rho Q## and ##{\dot m}_{in}= {\dot m}_{out}## . So one can say that ##\rho Q_1 = \rho Q_2##. But I'm not sure if that equation is correct. I don't know if the density remains constant, or the volume flow rate. And then how I'm also supposed to tie a state equation in...
  26. M

    Question about conservation of angular momentum for charges

    Why is angular momentum conserved for a charge in an electric field?
  27. Q

    Orbital Slingshot and Conservation of Momentum Confusion

    Hello, I am an undergrad and am in an introductory level astrophysics course. I have a bit of confusion that I didn't know where to get help from so I made an account here. Please let me know if I miss some common etiquette or something... I don't understand how the slingshot maneuver...
  28. colemc20

    Do Neutrinos Leave Tracks in Cloud Chambers?

    My only issue is what this would look like. I can't draw a respective picture.
  29. F

    Ballistocardiograph and conservation of momentum

    Hi, once again I'm probably asking a question that is more about human physiology than physics (I recently asked a question that had to do with hearing). I found a (definitely too hasty) reference to a ballistocardiograph in a high school textbook. So I got curious about the way this apparatus...
  30. entropy1

    I Does Quantum Mechanics Suggest a Conservation of Possibilities?

    Suppose we have a quantum object in superposition to some measurement basis, given by: ##\frac{\sqrt{2}}{\sqrt{3}}|a \rangle + \frac{1}{\sqrt{3}}|b \rangle##. (1) Suppose the measurement is made, and the system evolves, according to MWI, into ##\frac{\sqrt{2}}{\sqrt{3}}|a \rangle|W_a \rangle +...
  31. JD_PM

    Proving that a vector field is conservative

    Homework Statement Homework Equations $$F = \nabla \phi$$ The Attempt at a Solution Let's focus on determining why this vector field is conservative. The answer is the following: [/B] I get everything till it starts playing with the constant of integration once the straightforward...
  32. jehwig0107

    A question regarding energy and momentum conservation

    I have a problem in mechanics. On the wedge and block only the gravisational force (mg) is exerted (and there is no friction in this system). What is asked in the question is the final velocities of the wedge and the block (vB, vK). The velocity of the block is conserved when it reaches at the...
  33. solarcat

    Bungee jumping and Conservation of energy

    Homework Statement A person is bungee jumping from the top of a cliff with height H. The un-stretched length of the bungee rope is L. The person comes to a stop just before hitting the ground. The length of the cord is equal to H(amax-g)/(amax+g), where amax is the maximum acceleration upward...
  34. Boltzman Oscillation

    Law of conservation of angular momentum

    Given the figure, how can i arrive to this formula knowing that angular momentum is conserved? I know that p = mv and L = p x r. So the initial momentum will be L1 = mV x R and the final momentum will be L2 = mv x r. I am not sure how R will equal to b since the distance between the...
  35. R

    Calculating Speed on an Incline Using the Law of Conservation of Energy

    Homework Statement A ski starts from rest and slides down a 22 o incline 75m long. Coefficient of friction is 0.090. What is the skiers speed at the base of the inlcline? Use energy methods Homework Equations PE=mgh KE=mv2/2 W=Fd The Attempt at a Solution Since mass was not given I did PE=KE...
  36. Z

    Conservation of Linear Momentum

    Homework Statement This question was on a recent AP Physics 1 exam as a multiple choice; "Three air track gliders, shown to the right all have the same mass M. Gliders 2 and 3 are initially at rest. Glider 1 is moving to the right with speed v. Glider 1 collides with glider 2 and sticks to it...
  37. A

    I Conservation of energy-momentum (tensor)

    For a curve parametrised by ##\lambda## where ##\lambda## is along length of the curve and is 0 at one end point. At each ##\lambda## say tangent vector V and A be the two possible vectors of the tangent space. where ##V=V^\mu e_\mu## and ##A=A^\nu e_\nu##, {e} are the basis vectors. Now ##...
  38. J

    Railway/Cannon - Conservation of Momentum HW Problem

    Hello forum. I have a HW question that I don't fully grasp just yet. It was multiple choice and somehow I guessed the right answer based on the work I did complete, but I want to know how to get to the solution and which steps I'm leaving out. I'll follow the format to write out the...
  39. P

    Ice Skating conservation of momentum (conceptual problem)

    Homework Statement Two ice skaters have masses m1 and m2 and are initially stationary. Their skates are identical. They push against one another, as in Figure 7.11, and move in opposite directions with different speeds. While they are pushing against each other, any kinetic frictional forces...
  40. Np14

    Rocket: conservation of momentum

    Homework Statement A fireworks rocket is moving at a speed of 45.0 m/s. The rocket suddenly breaks into two pieces of equal mass, which fly off with velocities v1 and v2. What are the magnitudes of v1 and v2? Homework Equations Conservation of Momentum m1v1 + m2v2 = m1vo1 + m2vo2 The...
  41. TheQuestionGuy14

    Conservation of Energy and a billiard ball

    The conservation of energy states energy can never be created nor destroyed, and the amount of energy in a system is always constant. I'm just curious, say if a billiard ball just suddenly started moving without any other object making it do so, (kinetic energy was created), if it also suddenly...
  42. P

    Conservation of momentum - trampoline

    English isn't my main language, so I apologize in advance if something is unclear. We are leaving air resistance out of this problem! 1. Homework Statement We are going to describe the force F from the trampoline on the Joe as F = kx, k is a spring constant. This is a model. 1. Joe drops...
  43. S

    Percent error in conservation of momentum lab confusion

    Okay, so I did an elastic collision with Vernier carts and magnets. The results seem pretty good. Cart one started with -0.1205 kg*m/s ended with +0.1027 kg*m/s Cart two started with +0.1174 kg*m/s ended with -0.1118 kg*m/s So Total before = -0.0031 kg m/s and total after = -0.0091 kg m/s. If...
  44. S

    Exploring Conservation of Energy: Ball Dropped in Water

    My question: Consider an isolated system consisted of a ball, and a bucket of water. The ball is released from height, H above a bucket of water. The initial temperature of the water-bucket system and the ball are T1 and T2 respectively. What will be the final temperature of the water after the...
  45. Mason Smith

    Question involving the conservation of momentum

    Homework Statement Homework Equations The conservation of momentum states that if there are no external forces acting on a system, then momentum is conserved (i.e., the momentum before an event is equal to the momentum after an event). (Note: We assume that the internal forces follow Newton's...
  46. O

    Newton's law of conservation as it applies to the big bang

    I had a thought the other day and I am looking for someone to tell me why it does not work. In consideration of energy be neither created nor destroyed, to me this would say there is not enough energy to continue expanding the universe. I also make the conjecture the gravity never stop...
  47. B

    A Measurement and the Conservation of Momentum

    If you prepare a particle with a “relatively precise” momentum by the act of filtering or measuring its momentum. It’s state will collapse into a momentum eigenstate and the measured momentum will be the corresponding eigenvalue. The position state will now be nearly uniformly spread out and...
  48. brotherbobby

    Rotating physicist and momentum conservation

    We are aware of the well-known problem of a rotating physicist whose angular velocity ω increases as a consequence of angular momentun conservation (##I_1 \omega_1 = I_2 \omega_2, \Sigma \tau_e = 0##). I am assuming that the net external force (##\Sigma F_e##) is also zero along with the net...
  49. Hiero

    Conservation law associated with the symmetry of a helix

    In a problem in Landau’s mechanics (end of section 9) he asks for the quantity conserved in the field of “an infinite homogenous cylindrical helix.” The solution is that the Lagrangian is unchanged by a rotation of dΦ together with a translation of hdφ/(2π) (about and along the symmetry axis)...
  50. J

    The conservation of angular momentum

    This question is about the conservation of angular momentum: So far, I have understood the reason as to why an object with a high moment of inertia has a small angular acceleration whereas an object with a low moment of inertia has a larger angular acceleration. The reason for this is that if...
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