An archer shoots an arrow horizontally and his friend drops a bowling ball from the same height when the arrow is released. in the absence of air resistance, which of the following happens? a. the bowling ball hits the ground first. b. you cannot tell from the information given. c. the arrow hits the ground first. d. both hit the ground at the same time.

the answer would be c

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.