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Grade 11Mechanics

When a body is projected vertically up, at a point 'P' in its path, the ratio of potential to kinetic energies is 3:4. If the same body were to be projected with two times the initial velocity, the ratio of potential to kinetic energies at same point is
A) 3:25
B) 3:28
C) 1:20
D) 1:25
I want this answer with reason.

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Profile image of Niki
8 Years agoGrade 11
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1 Answer

Profile image of Venkat
8 Years ago
Q:When a body is projected vertically up, at a point 'P'  in its path,  the ratio of potential to kinetic energies is 3:4. If the same body were to be projected with two times the initial velocity,  the ratio of potential to kinetic energies at same point is
 
Pe/Ke = 3/4
u1=2u
n = 2
Pe1/Ke1 = Pe/(n^2(Pe+Ke)-P) = 3/(2^2(3+4)-3) = 3/25
 
Option (A) 3:25