English
Hindi
5.Work, Energy, Power and Collision
hard

સ્પ્રિંગને બ્લોક દ્વારા કેટલી દબાવીને મૂકવાથી $P$ બિંદુ આગળ કેન્દ્રગામી બળ $mg$ મળે?

A

$\sqrt {\frac{{mgR}}{{3k}}} $

B

$\sqrt {\frac{{3gR}}{{mk}}} $

C

$\sqrt {\frac{{3mgR}}{k}} $

D

$\sqrt {\frac{{3mg}}{{kR}}} $

Solution

$\frac{{mv_P^2}}{R} = mg$

$\therefore \,\,{v_P} = \sqrt {Rg} $

$v_p^2 = v_L^2 – 2gR$ (${v^2} = {u^2} – 2gh)$

${v_L} = \sqrt {v_P^2 + 2gR} = \sqrt {Rg + 2gR} = \sqrt {3gR} $

$k = \frac{1}{2}\,mv_L^2$$ = \frac{1}{2}\,m\, \times 3gR$

$\frac{1}{2}k{x^2} = \frac{1}{2}\,3m \times \,g\,R$

$\therefore x = \sqrt {\frac{{3m\,g\,R}}{k}} $.

Standard 11
Physics

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