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Showthat impulse is the changeof momentum |
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Answer» Solution : According to Newton.s SECOND Law `F = (dp)/(dt)` i.e., dp = Fdt Integrate it over a TIME interval from `t_i` to `t_f` `int_(i)^(f) dp = int_(t_i)^(t_f) Fdt` `P_f - P_i = int_(t_1)^(t_2) F.dt` `P_i to` Intial momentum of the OBJECT at ` t_i` `P_f to` Final momentum of the object at `t_f ` `P_f - P_i = Delta p` = change in momentum during the time interval `Delta t. int_(t_i)^(t_f) Fdt = J` is called the impulse . If the force is constant over the time interval `Delta t` , then `int_(t_i)^(t_f) Fdt = F int_(t_i)^(t_f) dt = F (t_f - t_i)= F Delta t` `J= F Delta t = Delta p` |
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