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I need help with The bob of a simple pendulum of mass m and total energy E will have maximum linear momentum equal to

The bob of a simple pendulum of mass m and total energy E will have maximum linear momentum equal to 

  • Option 1)

    \sqrt{{\frac{2E}{m}}}

  • Option 2)

    \sqrt{2mE}

  • Option 3)

    2mE

  • Option 4)

    mE2

 
Answers (1)
92 Views
V Vakul

As we have learnt,

 

Simple Pendulum -

T=2\pi \sqrt{\frac{l}{g}}

l\rightarrow length\, of\, pendulum

g\rightarrow acc^{n}\, due\, to\, gravity.

- wherein

 

 

E =\frac{P^2}{2m}

 where E = Kinetic Energy, P = Momentum, m = Mass

So, P = \sqrt{2mE}


Option 1)

\sqrt{{\frac{2E}{m}}}

Option 2)

\sqrt{2mE}

Option 3)

2mE

Option 4)

mE2

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