How will you calculate the length of the S period.

1.	How will you calculate the length of the S period.
Answer» Solution :According to Newton.s second LAW `F= (dp)/(dt)` i.e. `dp = F dt` INTEGRATE it over a time interval from `t_1 ` to `t_f` `int_i^f dp = int_(t_1)^(t_f)F dt` `P_f - P_i = int_(t_1)^(t_2) F. dt` `P_1 to` initial momentum of the object at `t_1` `P_f to ` Final momentum of the object at `t_f` `P_f - P_i = DELTAP=` CHANGE in momentum during the time interval `Deltat. int_(t_1)^(t_f) F dt` = J is called the impulse. If the force is constant over the time interval `Deltat`, then `int_(t_1)^(t_f) F dt = F int_(t_1)^(t_f) dt = F(t_f - t_i) = F Deltat` `J = F Deltat= Deltap` Hence the proof.

Discussion