According to Newton's Second Law, what does mass times acceleration equal?
Metre per second squared (1 m/s) from a state of rest, when it achieves the speed of 5 m/s after 5 seconds and 10 m/s after 10 seconds. The average acceleration can be calculated by dividing the speed (m/s) by the time (s), so the average acceleration in the first example would be calculated formula_1. Newton's Second Law states that force equals mass multiplied by acceleration. The unit of force is the newton (N), and mass has the SI unit kilogram (kg). One newton equals one kilogram metre per second squared. Therefore, the unit metre per second squared is equivalent to newton per kilogram,
Schrödinger–Newton equation Schrödinger–Newton equation. The dynamics of the centre-of-mass, however, remain strictly linear in this picture. This is true in general: nonlinear Hartree equations never have an influence on the centre of mass. A rough order-of-magnitude estimate of the regime where effects of the Schrödinger–Newton equation become relevant can be obtained by a rather simple reasoning. For a spherically-symmetric Gaussian, the free linear Schrödinger equation has the solution The peak of the radial probability density formula_11 can be found at Now we set the acceleration of this peak probability equal to the acceleration due to Newtonian gravity, using that formula_15 at time