Define escape energy. Write its unit and dimensional formula.
(N/A) Escape energy is defined as the minimum amount of energy required to be provided to an object of mass $m$ on the surface of a planet so that it can escape the gravitational field of the planet and reach infinity.
Mathematically,it is given by $E_e = \frac{GMm}{R}$,where $G$ is the universal gravitational constant,$M$ is the mass of the planet,$m$ is the mass of the object,and $R$ is the radius of the planet.
Since energy is a form of work,its $SI$ unit is the Joule $(J)$.
The dimensional formula for energy is $[ML^2T^{-2}]$.
Mathematically,it is given by $E_e = \frac{GMm}{R}$,where $G$ is the universal gravitational constant,$M$ is the mass of the planet,$m$ is the mass of the object,and $R$ is the radius of the planet.
Since energy is a form of work,its $SI$ unit is the Joule $(J)$.
The dimensional formula for energy is $[ML^2T^{-2}]$.
Explore More
Similar Questions
Escape velocity on Earth is $11.2 \, km/s$. What would be the escape velocity on a planet whose mass is $1000$ times and radius is $10$ times that of Earth?
Medium
View SolutionThe mass of the moon is $1/144$ times the mass of a planet and its diameter is $1/16$ times the diameter of a planet. If the escape velocity on the planet is $v$,the escape velocity on the moon will be:
DifficultJEE MAIN 2024
View Solution"The value of the escape velocity $v_e$ for a stationary object on the surface of a planet is directly proportional to the mass and radius of the planet." Is this statement correct? If not,correct it.
Medium
View SolutionGravitational acceleration on the surface of a planet is $\frac{\sqrt{6}}{11} g$,where $g$ is the gravitational acceleration on the surface of the earth. The average mass density of the planet is $\frac{2}{3}$ times that of the earth. If the escape speed on the surface of the earth is taken to be $11 \ km/s$,the escape speed on the surface of the planet in $km/s$ will be:
DifficultIIT 2010
View Solution$A$ small asteroid is orbiting around the sun in a circular orbit of radius $r_0$ with speed $v_0$. $A$ rocket is launched from the asteroid with speed $v = \alpha v_0$,where $v$ is the speed relative to the sun. The highest value of $\alpha$ for which the rocket will remain bound to the solar system is (ignoring gravity due to the asteroid and effects of other planets).
DifficultKVPY 2012
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo