###### acceleration

- For example, a newton (N) is a unit of force , which will have units of mass (kg) times acceleration (m⋅s −2 ). (wikipedia.org)
- for the first question i tried using the suvat equation $\displaystyle v^2 = u^2 + 2as$ to find the acceleration and then finishing off with F = ma to find the force. (mathhelpforum.com)
- with the rod in space, would the translational acceleration of the rod be the same as if I had applied the same force on the center of mass? (physicsforums.com)
- It would be the same translational acceleration (of the center of mass). (physicsforums.com)
- What does Newton's second law of motion say about the relationship among force, mass, and acceleration? (quipper.com)

###### equation

- When you are solving any problem and trying to use a mass balance or any other equation, it is important to recognize what pieces of information can be interconverted . (wikibooks.org)
- Most vibrating elements can be represented by a second order mass-spring-damper system governed by the following second order differential equation. (wikipedia.org)

###### invariant mass of a system

- It is often convenient in calculation that the invariant mass of a system is the total energy of the system (divided by c2) in the COM frame (where, by definition, the momentum of the system is zero). (wikipedia.org)
- As with energy and momentum, the invariant mass of a system cannot be destroyed or changed, and it is thus conserved, so long as the system is closed to all influences. (wikipedia.org)
- Because the invariant mass includes the mass of any kinetic and potential energies which remain in the center of momentum frame, the invariant mass of a system can be greater than sum of rest masses of its separate constituents. (wikipedia.org)

###### molar

- F, Faraday constant M H g {\displaystyle M_{\rm {Hg}}} , the molar mass of mercury This coulometer has different constructions but all of them are based on mass measurements. (wikipedia.org)

###### relativistic mass

- They do, however, talk about the (total) energy of a body, which is the equivalent to its relativistic mass, rather than the rest energy equivalent to its rest mass. (wikipedia.org)
- Under such circumstances the invariant mass is equal to the relativistic mass (discussed below), which is the total energy of the system divided by c2 (the speed of light squared). (wikipedia.org)
- The term relativistic mass is also sometimes used. (wikipedia.org)
- Thus, unlike the invariant mass, the relativistic mass depends on the observer's frame of reference. (wikipedia.org)
- However, for given single frames of reference and for isolated systems, the relativistic mass is also a conserved quantity. (wikipedia.org)
- Although some authors present relativistic mass as a fundamental concept of the theory, it has been argued that this is wrong as the fundamentals of the theory relate to space-time. (wikipedia.org)
- In other reference frames, where the system's momentum is nonzero, the total mass (a.k.a. relativistic mass ) of the system is greater than the invariant mass, but the invariant mass remains unchanged. (wikipedia.org)
- Similarly, the total energy of the system is its total (relativistic) mass times the speed of light squared. (wikipedia.org)
- Relativistic mass also increases. (wikipedia.org)

###### displacement

- m x ¨ + c x ˙ + k x = F ( t ) {\displaystyle m{\ddot {x}}+c{\dot {x}}+kx=F(t)} where, x is the displacement, m is the effective mass, c is the damping coefficient, k is the spring constant of the restoring force, and F(t) is external forcing as a function of time. (wikipedia.org)

###### implies

- In 1958, Lodewijk Woltjer, working on astrophysical plasmas, noted that H {\displaystyle H} is conserved, which implies that a twisty field will attempt to maintain its twistyness even with external forces being applied to it. (wikipedia.org)

###### describes

- A key concept in the understanding of the spheromak is magnetic helicity, a value H {\displaystyle H} that describes the "twistedness" of the magnetic field in a plasma. (wikipedia.org)

###### equivalent

- One unified atomic mass unit is approximately the mass of one nucleon (either a single proton or neutron ) and is numerically equivalent to 1 g/mol . (wikipedia.org)

###### quantities

- If physical quantities have different dimensions (such as length vs. mass), they cannot be expressed in terms of similar units and cannot be compared in quantity (also called incommensurable ). (wikipedia.org)

###### force

- How can a force that is applied perpendicularly at a point of other than the center of mass cause translational motion? (physicsforums.com)
- The only force producing a torque about the hinge is gravity, which in this case is treated as if it is applied to the center of mass. (physicsforums.com)

###### volumetric

- Volumetric flowrates are related to mass flow rates by a relatively easy-to-measure physical property. (wikibooks.org)

###### speed of li

- Still, if you travel a bit slower, say 90% of the speed of light, your mass only grows by 2.3 times. (wikipedia.org)

###### length

- Inclined plane: MA = length of slope ÷ height of the slope Balanced arm lamps Gear ratio Fisher, pp. 69-70. (wikipedia.org)

###### Thus

- Thus, invariant mass is a natural unit of mass used for systems which are being viewed from their center of momentum frame (COM frame), as when any closed system (for example a bottle of hot gas) is weighed, which requires that the measurement be taken in the center of momentum frame where the system has no net momentum. (wikipedia.org)
- Thus, the mass of a system of several photons moving in different directions is positive, which means that an invariant mass exists for this system even though it does not exist for each photon. (wikipedia.org)

###### depends

- For standardization, a specific atomic nucleus ( carbon-12 vs. oxygen-16 ) had to be chosen because the average mass of a nucleon depends on the count of the nucleons in the atomic nucleus due to mass defect . (wikipedia.org)

###### vector

- Systems whose four-momentum is a null vector (for example a single photon or many photons moving in exactly the same direction) have zero invariant mass, and are referred to as massless . (wikipedia.org)

###### atomic mass

- The unified atomic mass unit or dalton (symbol: u, or Da or AMU) is a standard unit of mass that quantifies mass on an atomic or molecular scale ( atomic mass ). (wikipedia.org)
- The atomic mass unit ( amu ) without the "unified" prefix is technically an obsolete unit based on oxygen, which was replaced in 1961. (wikipedia.org)
- In this sense, most uses of the terms atomic mass units and amu , today, actually refer to unified atomic mass unit. (wikipedia.org)
- The atomic mass unit is not the unit of mass in the atomic units system, which is rather the electron rest mass ( m e ). (wikipedia.org)
- The dalton (Da) is another name for the unified atomic mass unit. (wikipedia.org)
- The unified atomic mass unit and the dalton are different names for the same unit of measure. (wikipedia.org)

###### gravity

- They can be due to phenomena such as gravity , magnetism , or anything that might cause a mass to accelerate. (wikipedia.org)

###### particles

- The invariant mass is another name for the rest mass of single particles. (wikipedia.org)
- The concept of invariant mass does not require bound systems of particles, however. (wikipedia.org)
- The same is true for massless particles in such system, which add invariant mass and also rest mass to systems, according to their energy. (wikipedia.org)

###### object

- First consider the most basic case of a falling object of mass M (an apple? (wikibooks.org)

###### change

- Despite this change, modern sources often still use the old term "amu" but define it as u ( 1 / 12 of the mass of a carbon-12 atom), as mentioned in the article's introduction. (wikipedia.org)

###### center of m

- Once you have found F V , go back and find the torque that the two forces produce about the center of mass. (physicsforums.com)

###### masses

- Earth mass is a standard unit of mass in astronomy that is used to indicate the masses of other planets, including rocky terrestrial planets and exoplanets. (wikipedia.org)
- NanoSIMS is able to create nanoscale maps of elemental composition, parallel acquisition of seven masses, isotopic identification , combining the high mass resolution, subparts-per-million sensitivity of conventional SIMS with spatial resolution down to 50 nm and fast acquisition (DC mode, not pulsed). (wikipedia.org)

###### equal

- Earth mass (M⊕, where ⊕ is the standard astronomical symbol for planet Earth) is the unit of mass equal to that of Earth. (wikipedia.org)
- This is also why the mass of a proton or neutron by itself is more than (and not equal to) 1 u. (wikipedia.org)

###### changes

- citation needed] Measuring of the quantity of electricity (coulombs) is based on the changes of the mass of the mercury electrode. (wikipedia.org)