A6000 kg space probe moving nose-first toward jupiter at 100 m/s relative to the sun fires its rocket engine, ejecting 80.0 kg of exhaust at a speed of 241 m/s relative to the space probe. what is the final velocity of the probe?

Explanation:

As we know that Probe along with rocket system is an isolated system

So here net force on this system must be zero

and we can use momentum conservation for this system

So we will have

here we know that

so we have

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.