Explanation Given information: The weight of planet Venus is equal to 4.87 × 10 24 k g The radius of planet Venus is equal to 6052 k m The escape velocity is defined as, v e s c = 2 G M r 0 In the above equation, G - Constant of gravitation ( 66.73 × 10 − 12 m 3 / k g s 2 ) M - Mass of planet r 0 - Distance from center of planet to vehicle Calculation: First of all, Find the distance from center of planet to space probe, r 0 = 6052 k m + 280 k m = 6332 k m Now, find the velocity, To determine (b) The decrease in velocity required to insert into the orbit of the planet.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 12.3, Problem 12.100P

To determine

(a)

The velocity of the probe as it approaches point A.

To determine

(b)

The decrease in velocity required to insert into the orbit of the planet.

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Chapter 12.3, Problem 12.99P

Chapter 12.3, Problem 12.101P

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Vector Mechanics for Engineers: Dynamics

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(a) The velocity of the probe as it approaches point A.

Solution Summary: The author calculates the velocity of the probe as it approaches point A.