To apply problem-solving strategy 12.1 standing waves and normal modes. a cellist tunes the c string of her instrument to a fundamental frequency of 65.4 hz . the vibrating portion of the string is 0.600 m long and has a mass of 14.4 g . with what tension must she stretch that portion of the string? what percentage increase in tension is needed to increase the frequency from 65.4 hz to 73.4 hz , corresponding to a rise in pitch from c to d?

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.