Question
Download Solution PDFA particle of mass ‘m’ is projected with a velocity v=kVe(k < 1) from the surface of the earth. (Ve=escape velocity) The maximum height above the surface reached by the particle is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The minimum velocity required by a body to overcome the gravitational force of earth and escape from earth so that it never falls back is called as escape velocity.
Escape velocity formula is given
Where, V is the escape velocity
G is the gravitational constant is 6.67 × 10-11 m3 kg-1 s-2
M is the mass of the planet
R is the radius from the center of gravity
Calculation:
Given v = kVe
where, k < 1
Thus, v < Ve
From conservation of mechanical energy,
We know,
Rk2 + hk2 = h
Rk2 = h(1 – k2)
Last updated on Jun 16, 2025
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