A body of mass m-2kg is tied to the end of a thread, the other end of which is fixed to the roof. When we exert a horizontal force of measure F on the signal then the signal-system equilibrates to such a position where the thread forms with the vertical angle φ-60 Draw all the forces exerted on the signal and calculate them. (g10ms). Calculate the force F, let the system balance. Hmf-0.8 is given.

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

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.