at some movement two planets Jupiter and saturn of the solar system are in the same line as seenfrom earth. find the total gravitational force due to them on a person of mass 50 kg on the earth. could force due to plants be important.
mass of Jupiter 2*10^7kg.
mass of saturn is 6*10^26kg.
distance from Jupiter from earth 6.3*10^11 m.
distance of saturn from earth is 1.28*10^12m.
G =6.67*10^-11.
acceleration due to gravity 9.8m/sec.

Dear Student,

mass of jupiter, mJ=2×1027 kgmass of saturn, mS=6×1026 kgdistance of jupiter from  earth, dJE=6.3×1011 mdistance of saturn from  earth, dSE=1.28×1012 mG=6.67×10-11 Nm2/kg2mass of man, m=50 kgForce of jupiter on man on the earth, FJ=GmJmdJE2FJ=6.67×10-11×2×1027×506.3×10112FJ=16.8×10-6 NForce of saturn on the man on the earth,FS=GmSmdSE2FS=6.67×10-11×6×1026×501.28×10122FS=1.22×10-6 NTotal force on man, F=FJ+FSF=16.8×10-6+1.22×10-6F=18.02×10-6 NForce due to planets is not at all important.

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