A satellite of mass 100 kg is in orbit at an altitude of 3R above the earth's surface. If the object is raised to a height of 3R above the earth's surface, what is its weight? A) 108 N C) 27.0 N D) 305 N E) 144 N 19) The earth has radius R. At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s2? A) 0.41 R B) 0.50 R C) 1.00 R D) 1.41 R E) 0.25 R 18) An object weighs 432 N on the surface of the earth. Mearth = 5.97 x 1024 kg, Rearth - 6.38 x 106 m) A) 2300 km B) 1700 km C) 5400 km D) 2900 km 16) What would be the weight of a 59.1-kg astronaut on a planet twice as massive as Earth and having twice Earth's radius? A) 580 N B) 290 N C) 1160 N D) 118 N E) 1200 N 17) The radius of the earth is R. If one of the balls is released, what is the magnitude of its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses? (G-6.67 * 10-11 Nm2/kg2) A) 3.7 x 10-8 m/s2 C) 1.9 x 10-8 m/s2 E) 6.4 x 10-8 m/s2 B) 2.5 x 10-8 m/s2 D) 4.2 x 10-8 m/s2 15) From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G=6.67 10-11 N.m2/kg2.
What is the magnitude of the gravitational force exerted by Venus on Earth at that point? A) 1.10 x 1018 N C) 5.43 x 1026 N E) 1.72 x 1019 N B) 4.62 x 1028 N D) 6.30 x 1020 N 14) Three identical 50-kg balls are held at the corners of an equilateral triangle, 30 cm on each side. (G = 6.67 x 10-11 N m2/kg2) 13) At their closest approach, Venus and Earth are 4.20 x 1010 m apart. When the third mass is suddenly released, find the magnitude and direction (toward A or toward B) of its initial acceleration. A third point mass is placed between the other two at a point that is 20.0 cm from Balong the line connecting A and B. What is the mass of each of them? ( 6 6.67 * 10-11 N m2/kg) 12) A very dense 1500-kg point mass (A) and a dense 1200-kg point mass (B) are held in place 1.00 m apart on a frictionless table. When released in an orbiting space station, they accelerate toward each other at 2.00 cm/s2.
Transcribed image text: All two identical tiny balls of highly compressed matter are 1.50 m apart.
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