Question bank/JEE Main/Physics

JEE MainPhysicsEasyGravitation

A Comet is observed as it passes our solar system. Its closest
approach to the sun is r = 6.67 × 10^10 m,at that time it has velocity

v = 2 × 10^6 m/s. If G = 6.67 × 10^-11 N m^-2 kg^-2 and mass of

the sun is 2 × 10^30kg. Then which of the following is true in respect

with this comet?

Show answer and solution
Total energy of the comet = U+K
=−GMsmr+12m(2×106)2= \frac{- GM_{s}m}{r} + \frac{1}{2}m\left( 2 \times 10^{6} \right)^{2} where m mass
of the Comet

=m[(−2×109)+(2×1012)]= m\left\lbrack \left( - 2 \times 10^{9} \right) + \left( 2 \times 10^{12} \right) \right\rbrack>0
∴\thereforeComets will never returns to the solar system because total
energy is +ve.

Source: Grass-G / P-22 Physcis Paper 19 Dec Eng..docx

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