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JEE Main20252 Apr 2025Evening ShiftPhysicsGravitationActual

A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of the satellite in this orbit is ______ 10¹⁰ ~J . (Mass of earth =6 10²⁴ ~kg , Radius of earth =6.4 10^6 ~m , Gravitational constant = .6.67 10⁻¹¹ Nm ^2 ~kg ⁻² )

Correct answer

0

Step-by-step solution

aligned & KE = 1 2 mv ^2= 1 2 ~m GM _ e r = GM _ e m 2 r = GM _ e m 2 ( R _ E + h ) & = 6.67 10⁻¹¹ 6 10²⁴ 6.4 10^6 2 (6.4 10^6+2.7 10^5 ) =3 10¹⁰ ~J aligned

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