Paragraph for Questions 5 - 9 Consider a satellite of mass 150 kg in a low circular orbit

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Paragraph for Questions 5 - 9 Consider a satellite of mass 150 kg in a low circular orbit. In this orbit, we cannot neglect the effect of air drag. Air opposes the motion of satellite system and it's total energy decreases. That means the total energy becomes more negative and hence the orbital radius decreases which causes the increase in KE when the satellite comes in the low enough orbit. Excessive thermal energy generation due to air friction may cause the satellite to burn up. Based on the above information, answer the following questions. If due to air drag, the orbital radius decreases from RR to R−ΔRR - \Delta R , ΔR≪R\Delta R \ll R , then the expression for increase in the orbital velocity Δv\Delta v is: (A) ΔR2GMR3\frac{\Delta R}{2} \sqrt{\frac{GM}{R^3}} (B) −ΔR2GMR3-\frac{\Delta R}{2} \sqrt{\frac{GM}{R^3}} (C) ΔRGMR3\Delta R \sqrt{\frac{GM}{R^3}} (D) −ΔRGMR3-\Delta R \sqrt{\frac{GM}{R^3}}

Related theory

Browse the problem library