True or false the points where the potential is the same in three dimensional space lie on a surface

Yes

Explanation:

The Three-dimensional space is a geometric arrangement where by three values are needed if they are to determine the position of an element. In physics or in mathematics, a sequence of n numbers can be understood as a location in the n-dimensional space or setting.

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.