For years together, people thought that hell is located inside earth. Assume that hell is a spherical bubble created inside earth. It is completely evacuated to make sinful people feel suffocated. It has a radius R/4 and is located as shown. (C is earth's centre). What is the distance of centre of mass of the resulting body from C (in km). Assume that earth's radius is 6300 km.

Engineering

Physics

Center of Mass

Question

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$M_{0} = r \times \frac{4}{3} {πR}^{3}$

$M_{c} = ρ \times \frac{4}{3} π {(\frac{R}{4})}^{3} = \frac{M_{0}}{64}$

$x_{c} = \frac{M_{0} \times 0 - M_{c} \times \frac{R}{4}}{M_{0} - M_{c}} = \frac{\frac{- M_{0}}{256} R}{M_{0} - \frac{M_{0}}{64}} = 25 km$

Please subscribe our Youtube channel to unlock this solution.