# 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