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 earthssurface, the variation of the acceleration of gravity with respectto altitude y must be taken into account. Neglecting airresistance, this acceleration is determined from the formulaa=−g0[R2/(R+y)2], where g0 = 9.81 m/s2 is the constantgravitational acceleration at sea level, R = 6356 km is the radiusof the earth, and the positive direction is measured upward.
With what velocity does the particle strike the earth if it isreleased from rest at an altitude y0 = 750 km?
As a body is projected to a high altitude above the earthssurface, the variation of the acceleration of gravity with respectto altitude y must be taken into account. Neglecting airresistance, this acceleration is determined from the formulaa=−g0[R2/(R+y)2], where g0 = 9.81 m/s2 is the constantgravitational acceleration at sea level, R = 6356 km is the radiusof the earth, and the positive direction is measured upward.
With what velocity does the particle strike the earth if it isreleased from rest at an altitude y0 = 750 km?
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