# Hw 6 - yang(ey942 HW06 TSOI(58160 This print-out should...

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yang (ey942) – HW06 – TSOI – (58160) 1 This print-out should have 24 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points Three 5 kg masses are located at points in the xy plane as shown. 52 cm 58 cm What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin? The universal gravita- tional constant is 6 . 6726 × 10 11 N · m 2 / kg 2 . Answer in units of N. 002 (part 2 of 2) 10.0 points At what angle from the positive x -axis will the resultant force point? Let counterclockwise be positive, within the limits 180 to 180 . Answer in units of . 003 (part 1 of 3) 10.0 points Given: G = 6 . 67259 × 10 11 N m 2 / kg 2 A uniform solid sphere of mass m 2 = 262 kg and radius R 2 = 1 . 21 m is inside and concen- tric with a spherical shell of mass m 1 = 213 kg and radius R 1 = 2 . 35 m (see the figure). R R a b c m m 1 1 2 2 Find the magnitude of the gravitational force exerted by the sphere and spherical shell on a particle of mass 3 kg located at a dis- tance 0 . 37 m from the center of the sphere and spherical shell. Answer in units of N. 004 (part 2 of 3) 10.0 points Find the magnitude of the gravitational force exerted by the sphere and spherical shell on a particle of mass 3 kg located at a distance 1 . 68 m from the center of the sphere and spherical shell. Answer in units of N. 005 (part 3 of 3) 10.0 points Find the magnitude of the gravitational force exerted by the sphere and spherical shell on a particle of mass 3 kg located at a distance 2 . 94 m from the center of the sphere and spherical shell. Answer in units of N. 006 (part 1 of 2) 10.0 points When it orbited the Moon, the Apollo 11 spacecraft’s mass was 15900 kg, and its mean distance from the Moon’s center was 1 . 7136 × 10 6 m. Assume its orbit was circular and the Moon to be a uniform sphere of mass 7 . 36 × 10 22 kg. Given the gravitational constant G is 6 . 67259 × 10 11 N m 2 / kg 2 , calculate the or- bital speed of the spacecraft.

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