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We investigate the effects of non-Newtonian gravity on the properties ofstrange quark stars (QSs) and constrain the parameters of the standard MIT bagmodel used to describe strange quark matter (SQM) by employing the mass of PSRJ0740+6620 and the tidal deformability of GW170817. We find that, for thestandard MIT bag model, these mass and tidal deformability observations wouldrule out the existence of QSs if non-Newtonian gravity effects are ignored. Fora strange quark mass of $m_{s}=95$ MeV, we find that QSs can exist for valuesof the non-Newtonian gravity parameter $g^{2}/\mu^{2}$ in the range of 1.37GeV$^{-2}\leq g^{2}/\mu^{2}\leq$ 7.28 GeV$^{-2}$ and limits on the bag constantand the strong interaction coupling constant of the SQM model given by 141.3MeV$\leq B^{1/4}\leq$ 150.9 MeV and $\alpha_{S}\leq 0.56$. For a strange quarkmass of $m_{s}=150$ MeV, QSs can exist for 1.88 GeV$^{-2}\leqg^{2}/\mu^{2}\leq$ 6.27 GeV$^{-2}$ and limits on the parameters of the SQMmodel given by 139.7 MeV$\leq B^{1/4}\leq$ 147.3 MeV and $\alpha_{S}\leq 0.49$.

Non-Newtonian gravity in strange quark stars and constraints from the observations of PSR J0740+6620 and GW170817