My question is from Gravitation chapter:
An earth satellite in a circular orbit at a height of 200 km above the earth's surface has a period of 80 minutes. Calculate the mass of the earth from this data. Radius of the earth=6400 km

Dear Student,

height, h=200 km=2×105 mRadius of earth, R=64×105 mTime period, T=80 min=4800 sT=2πrvowhere, r=R+hand vo=orbital velocity4800=2π64×105+2×105vovo=2π×66×1054800vo=8635 m/sAlso, vo=GMrwhere, G=universal gravitational constantM=mass of earth8635=6.67×10-11×M64×105+2×1057.45×107=6.67×10-11×M66×105M=7.45×107×66×1056.67×10-11M=7.37×1024 kg

  • 20
What are you looking for?