SATHEE: Gravitation Question 115

Gravitation Question 115

Question: A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995]

Options:

A) $[R / (\frac{g R}{2 V^{2}} - 1)]$

B) $[R, (\frac{g R}{2 V^{2}} - 1)]$

C) $[R / (\frac{2 g R}{V^{2}} - 1)]$

D) $[R (\frac{2 g R}{V^{2}} - 1)]$

Show Answer

Answer:

Correct Answer: C

Solution:

$[Δ K . E . = Δ U]$ $[\Rightarrow,, \frac{1}{2} M V^{2} = G M_{e} M, (\frac{1}{R} - \frac{1}{R + h})]$ ?(i) Also $[g = \frac{G M_{e}}{R^{2}}]$ ?(ii) On solving (i) and (ii) $[h = \frac{R}{(\frac{2 g R}{V^{2}} - 1)}]$

Gravitation Question 115

Question: A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995]

Options:

Answer:

Solution:

Engineering Preparation

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Syllabus

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Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Gravitation Question 115

Question: A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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