(8%) Problem 9: A spaceship of mass 170 kg is going to use a planet for a gravit
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(8%) Problem 9: A spaceship of mass 170 kg is going to use a planet for a gravitational assist-that is, use the planet's gravity to change its direction of travel without expending any fuel. It is initially moving at a velocity of 240 m/s and at an angle ofPo = 60°, at a distance 11000 km from the center of the planet as shown in the figure ©theexpertta.com 50% Part (a) Give an expression for the angular momentum of the spacecraft, using the coordinate system specified, in terms of m, r), v0, po, and unit vectors i,j, and k 50% Part (b) If the spaceship whips around the planet to the other side so that the angle is = 31° and is moving at 165 m/s, how far in kilometers, from the planet is it? Grade Summary Deductions Potential Late work % 100% Late Potential 99% 99% tan() | cos) cotan asin) acosO Submissions Attempts remaining: 9 (1per attempt) atan) acotan() sinh0 cosh0 tan cotanh0 Degrees Radians CO 0 END detailed view BA DELCLEAR 1% Submit Hint Feedback I give up! Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback.Explanation / Answer
(B) Applying angular momentum conservation,
Li = Lf
m v0 r0 sin(phi0) = m v r sin(phi)
240 x 11000 x sin66 = 165 x r x sin31
r = 28380 km .......Ans
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