the radius of the earth is about 6370 km. an object of mass 30 kg is taken to a height of 230km above the surface of the earth .What is the mass of the body Share with your friends Share 0 Rohit Babu answered this Dear Student,Given,m=30kg, R=6370km=6370×103m,h=230km=230×103mMass of the body will remain as a constant regardless of the height from the surface of the earth.So at height h=230km,mass=30kgIt is the weight of the body that changes with height.Please refer the solution below if you meant to find weight of the body.Acceleration due to gravity at a height 'h' from the surface of earth is,gh=GMR+h2............(1)We know ,g=GMR2⇒GM=gR2=9.8×6370×1032Substituting GM in equation 1,gh=9.8×6370×10326370×103+230×1032=9.8×4.057×10134.356×1013=9.127m/s2Now, weight of the body at height 230km from the surface of earth is,W=mgh=30×9.127=273.81kgRegards. 0 View Full Answer Jayveer Rajput answered this nice question 0
