Concept explainers
(a)
Find the reduced velocity of the probe at A.
(a)
Answer to Problem 12.105P
The reduced velocity of the probe at A is
Explanation of Solution
Given information:
The mass of the Venus is 0.82 times the mass of the earth.
The radius of parabolic orbit at point A
The radius of parabolic orbit at point B
The radius of the earth (R) is 3,960 mi.
The radius of the Venus
Calculation:
Find the equation of product
Substitute
Find the equation of product
Substitute
Find the angular momentum per unit mass
Substitute
Find the escaping velocity at A
Substitute
Find the escaping velocity at A
Substitute
Find the escaping velocity at B
Substitute
The radius of orbit
Find the angular momentum per unit mass
Substitute
Find the escaping velocity at B
Substitute
Find the escaping velocity at C
Substitute
Find the escaping velocity at C
Substitute
Find the reduced velocity
Substitute
Thus, the reduced velocity of the probe at A is
(b)
Find the reduced velocity of the probe at B.
(b)
Answer to Problem 12.105P
The reduced velocity of the probe at B is
Explanation of Solution
Calculation:
Find the reduced velocity
Substitute
Thus, the reduced velocity of the probe at B is
(b)
Find the reduced velocity of the probe at C.
(b)
Answer to Problem 12.105P
The reduced velocity of the probe at C is
Explanation of Solution
Calculation:
Find the reduced velocity
Substitute
Thus, the reduced velocity of the probe at C is
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Chapter 12 Solutions
Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics
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