So i have the equation m d2xdt2c dxdtkx0 where d2xdt2 is the second derivative. The mathematical formulation of the second law is shown below with F representing the force m representing the objects mass and a representing the objects acceleration. Newtons Second Law The second law of motion states that the acceleration of a moving body depends upon the mass of the object as well as the force acting on the object.
V u a t.
In symbols the magnitude of the attractive force F is equal to G the gravitational constant a number the size of which depends on the system of units used and which is a. On the other hand you can change this problem around to find the mass or the acceleration of the object. 1 F ma 2 p mv and 3 F mv-ut. The acceleration a of a body is parallel and proportional to the net force F acting on it.