A man pushes on the side of a box without moving it. As he pushes harder A) the static friction will increase
B) the static friction might increase or decrease depending on the side of the box the man was pushing
C) the static friction will decrease
D) the static friction will stay constant

B) the static friction might increase or decrease depending on the side of the box the man was pushing

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.