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A-particle-is-observed-from-two-frames-S-1-and-S-2-The-frame-S-2-moves-with-respect-to-S-1-with-an-acceleration-a-Let-P-1-and-P-2-be-the-pseudo-forces-on-the-particle-when-seen-from-S-1-and-S




Question Number 20978 by Tinkutara last updated on 09/Sep/17
A particle is observed from two frames  S_1  and S_2 . The frame S_2  moves with  respect to S_1  with an acceleration a.  Let P_1  and P_2  be the pseudo forces on  the particle when seen from S_1  and S_2   respectively. Which of the following are  not possible?  (1) P_1  ≠ 0, P_2  ≠ 0  (2) P_1  ≠ 0, P_2  = 0  (3) P_1  = 0, P_2  ≠ 0  (4) P_1  = 0, P_2  = 0
$$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{observed}\:\mathrm{from}\:\mathrm{two}\:\mathrm{frames} \\ $$$${S}_{\mathrm{1}} \:\mathrm{and}\:{S}_{\mathrm{2}} .\:\mathrm{The}\:\mathrm{frame}\:{S}_{\mathrm{2}} \:\mathrm{moves}\:\mathrm{with} \\ $$$$\mathrm{respect}\:\mathrm{to}\:{S}_{\mathrm{1}} \:\mathrm{with}\:\mathrm{an}\:\mathrm{acceleration}\:{a}. \\ $$$$\mathrm{Let}\:{P}_{\mathrm{1}} \:\mathrm{and}\:{P}_{\mathrm{2}} \:\mathrm{be}\:\mathrm{the}\:\mathrm{pseudo}\:\mathrm{forces}\:\mathrm{on} \\ $$$$\mathrm{the}\:\mathrm{particle}\:\mathrm{when}\:\mathrm{seen}\:\mathrm{from}\:{S}_{\mathrm{1}} \:\mathrm{and}\:{S}_{\mathrm{2}} \\ $$$$\mathrm{respectively}.\:\mathrm{Which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{are} \\ $$$$\mathrm{not}\:\mathrm{possible}? \\ $$$$\left(\mathrm{1}\right)\:{P}_{\mathrm{1}} \:\neq\:\mathrm{0},\:{P}_{\mathrm{2}} \:\neq\:\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\:{P}_{\mathrm{1}} \:\neq\:\mathrm{0},\:{P}_{\mathrm{2}} \:=\:\mathrm{0} \\ $$$$\left(\mathrm{3}\right)\:{P}_{\mathrm{1}} \:=\:\mathrm{0},\:{P}_{\mathrm{2}} \:\neq\:\mathrm{0} \\ $$$$\left(\mathrm{4}\right)\:{P}_{\mathrm{1}} \:=\:\mathrm{0},\:{P}_{\mathrm{2}} \:=\:\mathrm{0} \\ $$

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