270573
The escape velocity of a body from earth surface is \(V_{e}\). The escape velocity of the same body from a height equal to \(7 R\) from earth surface will be
1 \(\frac{V_{e}}{\sqrt{2}}\)
2 \(\frac{V_{e}}{2}\)
3 \(\frac{V_{e}}{2 \sqrt{2}}\)
4 \(\frac{V_{e}}{4}\)
Explanation:
\(\mathrm{v}_{e}=\sqrt{\frac{2 G M}{R}}\)
at height \(\mathrm{v}_{e}^{1}=\sqrt{\frac{2 G M}{R+h}}=\sqrt{\frac{2 G M}{R+7 R}}\)
Gravitation
270574
Escape velocity of a body from the surface of the earth is \(V_{1}\) and from an altitude equal to twice the radius of the earth, escape velocity is \(V_{2}\). Then,
270573
The escape velocity of a body from earth surface is \(V_{e}\). The escape velocity of the same body from a height equal to \(7 R\) from earth surface will be
1 \(\frac{V_{e}}{\sqrt{2}}\)
2 \(\frac{V_{e}}{2}\)
3 \(\frac{V_{e}}{2 \sqrt{2}}\)
4 \(\frac{V_{e}}{4}\)
Explanation:
\(\mathrm{v}_{e}=\sqrt{\frac{2 G M}{R}}\)
at height \(\mathrm{v}_{e}^{1}=\sqrt{\frac{2 G M}{R+h}}=\sqrt{\frac{2 G M}{R+7 R}}\)
Gravitation
270574
Escape velocity of a body from the surface of the earth is \(V_{1}\) and from an altitude equal to twice the radius of the earth, escape velocity is \(V_{2}\). Then,