A mass attached to a spring oscillates and completes 51 full cycles in 35 s. What is the time period (in s) and frequency (in Hz) of this system?

0.686s

Explanation: The period of oscillations for any periodic motion is given as

Period = time taken / number of oscillations.

For this question, time taken = 35s and number of cycles /oscillations =51

Period = 35/51 = 0.686 Hz

fgravity=10x10=100n case 1

fgravity=30x20=600n case 2

6 times more

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.