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As a body is projected to a high altitude above the earths surface, the variation of...

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Mechanical Engineering


As a body is projected to a high altitude above the earths surface,the variation of the acceleration of gravity with respect toaltitude y must be taken into account. Neglecting air resistance,this acceleration is determined from the formula a=?g0[R2/(R+y)2],where g0 = 9.81 m/s2 is the constant gravitational acceleration atsea level, R = 6356 km is the radius of the earth, and the positivedirection is measured upward.

Part A

With what velocity does the particle strike the earth if it isreleased from rest at an altitude y0 = 800 km?
Express your answer using three significant figures and include theappropriate units

v =

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