Suppose that F is the inverse square force field below, where c is a constant. F(r) = cr |r|3 r = x i + y j + zk

Required:
a. Find the work done by F in moving an object from a point P1 along a path to a point P2 in terms of the distances d1 and d2 from these points to the origin.
b. An example of an inverse square field is the gravitational field F = -(mMG)r/|r|3. Use part (a) to find the work done by the gravitational field

truck y has a greater velocity than truck x.

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.