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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Laws of Motion

Olympiad workbook · NSEP · Laws of Motion

A particle of mass m is thrown vertically up with velocity u . Air...

A particle of mass

m

is thrown vertically up with velocity

u

. Air exerts an opposing force of a constant magnitude F . The particle returns back to the point of projection with velocity v after attaining maximum height h , then

Options

Ah=\frac{\mathrm{u}^2}{2 $\left(\mathrm{~g}+\frac{\mathrm{F}}{m}\right)}$
Bh=\frac{\mathrm{v}^2}{2 $\left(\mathrm{~g}-\frac{\mathrm{F}}{m}\right)}$
C $v=u \sqrt{\frac{\left(g-\frac{\mathrm{F}}{m}\right)}{\left(g+\frac{\mathrm{F}}{m}\right)}}$
D $v=u \sqrt{\frac{\left(g+\frac{\mathrm{F}}{m}\right)}{\left(g-\frac{\mathrm{F}}{m}\right)}}$

Correct answer

C. $v=u \sqrt{\frac{\left(g-\frac{\mathrm{F}}{m}\right)}{\left(g+\frac{\mathrm{F}}{m}\right)}}$

Step-by-step solution

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