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a particle is fired vertically upward from earth’s surface and it goes up to a height equal to earth’s radius. Find the initial speed of the particle

Urvashi Kaul , 9 Years ago

Grade 11

1 Answers

Riddhish Bhalodia

Last Activity: 9 Years ago

this is a simple case of energy conversation but as the heights are very high we consider the potential energy between two masses m₁, m₂at separation R as
$E = -Gm_1m_2/R$
so considering M to be mass of earth and R being it’s radius.
and m being the mass of the object thrown (with velocity v) we apply energy conservation between two points as
$-GMm/R + 1/2mv^2 = -GMm/2R$
$1/2mv^2 = GMm/2R$
$v = \sqrt{GM/R}$

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