Aparticle of mass m moves on the x axis with potential energy v (x) = e0 a 4 x 4 + 4ax3 − 8a 2x 2 (a) analytically determine the positions at which the particle is in stable equilibrium. plot (preferably using matlab) the potential to confirm your answers. (b) find the angular frequency of small oscillations about each equilibrium position. (c) what do you mean by small oscillations? be quantitative and give a separate answer for each point of stable equilibrium

does anyone know or what?

a.   mass number from atomic number

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.