You Can Run, But You Can't Escape

Classical Mechanics Level 4

Consider an electron taken as the size of the Earth. On this 'planet', let the escape velocity be \(v_e\), where \(v_e=a\times 10^{13}\)ms\(^{-1}\). Find \(\lfloor a\rfloor\)

Details and Assumptions:

  • Electron's density\(=2.17\times10^{14}\)g cm\(^{-3}\)

  • Radius of the earth\(=6371\) km

  • Consider the Earth as spherical, and homogenous, if necessary

  • Neglect electrostatic forces


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