Question

3 Modified Newtonian Dynamics (Maoz 7.6) Modified Newtonian dynamics (MOND) proposes that, for small accelerations, Newton's second law, F - ma, approaches the form F - ma/ao, where do is a constant. a. Show how such an acceleration law can lead to flat rotation curves, without the need for dark matter.

Answer 1

- 4 Given that, . Modified Neustenian dynamics proposes that form Small aule nations, Newtons second law, fuma, approches the form Fa mahla where an is constant show that : How much such an acceleration law can tead to Ilat rotation curves, with out the need for dok matter low, Modified the second law of newton F=mxa - 0 - where ac is constant Applying the force law to be star rotating qaround . a point mass m. distance w GMAM = mx al slow, for at substituting the a value in Gmum am -> (1, Rotation velo Velocity is inelepanelent of this its distance from the centre of galany.