# You Can Run, But You Can't Escape

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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