Explain escape speed. On what factors does escape velocity not depend?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Escape speed is defined as the minimum speed required for an object to be projected vertically upwards from the surface of a planet or moon so that it escapes the gravitational influence of that body and never returns to the surface.
The formula for escape velocity $(v_e)$ is given by:
$v_e = \sqrt{\frac{2GM}{R}}$
where $G$ is the universal gravitational constant,$M$ is the mass of the planet,and $R$ is the radius of the planet.
Escape velocity does not depend on the following factors:
$1$. The mass of the object being projected $(m)$.
$2$. The direction of projection (as long as it is not directed into the planet).
$3$. The location on the planet's surface from where it is projected.

Explore More

Similar Questions

The escape velocity of an object on a planet whose $g$ value is $9$ times that of Earth and whose radius is $4$ times that of Earth in $km/s$ is:

$A$ body is projected vertically from earth's surface with $\left(\frac{1}{3}\right)^{\text{rd}}$ of escape velocity. The maximum height reached by the body is ($R=$ radius of earth).

$A$ body is projected vertically from the surface of the earth of radius $R$ with a velocity equal to half of the escape velocity. The maximum height reached by the body is

$A$ body is projected vertically upwards from the Earth's surface with velocity $2 V_e$,where $V_e$ is the escape velocity from the Earth's surface. The velocity when the body escapes the gravitational pull is

The ratio of the escape velocity of a planet to the escape velocity of the Earth will be: Given: Mass of the planet is $16$ times the mass of the Earth and the radius of the planet is $4$ times the radius of the Earth.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo