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- A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density ? = 2.67 × 106 g/m3 and volume V =1.71 × 1012 m3. Recall that the universal gravitational constant is G = 6.67 × 10-11 (Nm2)/(kg2).A 0.50 g/cm³ B 0.80 g/cm³ C 1.40 g/cm³ D 2.00 g/cm³ 20g 20g /40cm² = 0.5g/cm 10 A cube of side 2 cm is placed in a graduated measuring cylinder. 145 cm³ of oil is then added and the cube remains at the bottom of the cylinder. What will be the reading on the measuring cylinder? A 147 cm³ B 149 cm³ C 151 cm³ 153 cm³ D Structured Questions (Paper 2 Section A) 1 The diameter of a screw was measured as accurately as possible using the following instruments: a micrometer, vernier calipers and a metre rule. The table below shows the readings obtained. Complete the table to inQuestion 2: An OSU-branded squishy moon ball has a mass of 25 g and a diameter of 60 mm. Consider two squishy moons located in deep space far from the Sun or any other massive body. The two squishy moons form a binary system with their centers separated by 0.5 meters, and they are in circular orbits around their common center of mass. a. Draw a sketch of the squishy moon system and correctly label the dimensions and orbits. b. What is the orbital period of the two squishy moons about their center of mass? c. What is their orbital speed? d. If the squishy moon binary system is 5au from the Sun, what is the Hill radius of the system in the tidal field of the Sun? Compare the Hill radius to the semi-major axis of the squishy moon binary orbit radius and comment on whether this binary squishy moon system is stable when it is 5au from the Sun. e. Follow-up your answer to part d and estimate the distance from the Sun where the squishy moons in this binary system are exactly twice their Hill…
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