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.

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

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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180- Dimensions in mm 100 100 D E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam. PROBLEM 2.40 Solve Prob. 2.39, assuming that rod AC is made of brass and rod CE is made of steel. PROBLEM 2.39 Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E = 200 GPa and E, 105 GPa, determine (a) the reactions at A and E, (b) the deflection of point C. = R = 45.5 kN ← A

Dimensions in mm 100 100 -180- -120-+- C D Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam. E PROBLEM 2.39 Two cylindrical rods, one of steel and the other of brass, are joined at Cand restrained by rigid supports at A and E. For the loading shown and knowing that E = 200 GPa and E₁ = 105 GPa, determine (a) the reactions at A and E, (b) the deflection of point C.

(read image) (Answer: vE = 0.514 m/s)

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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.