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12-37. As a body is projected to a high altitude above the
Chapter 12, Problem 12-37(choose chapter or problem)
12-37. 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 is the constant gravitational acceleration at sea level, R is the radius of the earth, and the positive direction is measured upward. If g0 = 9.81 m/s2 and R = 6356 km, determine the minimum initial velocity (escape velocity) at w'hich a projectile should be shot vertically from the earths surface so that it does not fall back to the earth. Hint: This requires that v = 0 as y *
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QUESTION:
12-37. 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 is the constant gravitational acceleration at sea level, R is the radius of the earth, and the positive direction is measured upward. If g0 = 9.81 m/s2 and R = 6356 km, determine the minimum initial velocity (escape velocity) at w'hich a projectile should be shot vertically from the earths surface so that it does not fall back to the earth. Hint: This requires that v = 0 as y *
ANSWER:Step 1 of 3
Given:
We have:
