Escape speed is the minimum speed that an object requires to break free from a planet's gravitational pull. Visit to understand the escape speed definition and its derivation.
A mistake in the derivation of escape velocity In the last step of the derivation of escape velocity, the two sides of the equation seem to have opposite signs. $$-1/2mv_0^2=-mgR_e^2\,\lim_{r\to\infty}(1/r-1/R_e)$$ $$-1/2mv_0^2=mgR_e^2 \frac{1}{R_e}$$ Since ...
Derivation of Escape Speed From Earth We know that: Total Energy at infinityTotal Energy at infinity=0 Hence, Kinetic energyPotential energy Kinetic energy+Potential energy=012mv2+(–(GMm)R)=012mv2=GMmRv2=2GMR ,where vis the velocity of the object, ...
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The escape velocity is the velocity necessary for an object to overcome the gravitational pull of the planet that object is on. For example, a rocket going into space needs to reach the escape velocity in order to make it off Earth and get into space. Part 1 Understanding Escape Velocit...