The escape speed of any projectile on Earth's surface is 11.2 km/s. A body is projected with thrice this speed. What is the speed of body far away from earth? Ignore presence of Sun & other planets.

31 km/sec

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

33.6 km/sec

No worries! We‘ve got your back. Try BYJU‘S free classes today!

27.8 km/sec

No worries! We‘ve got your back. Try BYJU‘S free classes today!

22.8 km/sec

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 31 km/sec
Apply K.E + PE = C
$\frac{1}{2} m v^{2} - \frac{G M m}{R_{E}} = \frac{1}{2} m v_{\infty}^{2} - 0$
$\frac{1}{2} m (3 v_{e})^{2} - \frac{G M m}{R_{E}} = \frac{1}{2} m v_{\infty}^{2}$
$\frac{9 m}{/ 2} . \frac{/ 2 G M}{R_{E}} - \frac{G M m}{R_{E}} = \frac{1}{2} m v_{\infty}^{2}$
$v_{\infty} = \sqrt{8 \frac{2 G M}{R_{E}}} = \sqrt{8} V_{e}$
$= 31 k m / s e c$

Suggest Corrections

Similar questions

The escape speed of a projectile on the earth’s surface is 11.2 km s^–1. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.

The escape speed of any projectile on Earth's surface is 11.2 km/s. A body is projected with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun & other planets.

Q. The escape velocity of a projectile on the Earth's surface is

11.2 km/s

. A body is projected out with thrice this speed. What is the speed of the body

(in km/s)

far away from the Earth? Ignore the presence of the Sun and other planets.

Q. The escape velocity of a projectile on the earth's surface is

11.2 k m s^{- 1}

. A body is projected out with thrice this speed. What will be the speed of the body far away from the earth, that is, at infinity? Ignore the presence of sun and other planets

Q. The escape velocity of a projectile on the earth's surface is

11.2 k m s^{- 1}

. A body is projected out with thrice this speed. Then, the speed of the body far from the earth, ignoring the presence of the sun and other planets will be

Join BYJU'S Learning Program

The escape speed of any projectile on Earth's surface is 11.2 km/s. A body is projected with thrice this speed. What is the speed of body far away from earth? Ignore presence of Sun & other planets.

The correct option is A 31 km/secApply K.E + PE = C 12mv2−GMmRE=12mv2∞−0 12m(3ve)2−GMmRE=12mv2∞ 9m/2./2GMRE−GMmRE=12mv2∞ v∞=√82GMRE=√8 Ve =31 km/sec