An object, with mass m and speed vi relative to an observer, explodes into two pieces, one 3 times as massive as the other; the explosion takes place in deep space. the less massive piece stops relative to the observer. how much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame? state your answer in terms of the given variables.

i'm thinking more like energy

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.