In: Mechanical Engineering
As a body is projected to a high altitude above the earths surface,
the variation of the acceleration of gravity with respect to
altitude 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 at
sea level, R = 6356 km is the radius of the earth, and the positive
direction is measured upward.
Part A
With what velocity does the particle strike the earth if it is
released from rest at an altitude y0 = 800 km?
Express your answer using three significant figures and include the
appropriate units
v =