2) Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a

Q: 2) Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a

orbital speed for an asteroid v = sqrt(GM/r) M = mass of the asteroid r = distance of the spaceman from asteroid center = 356 km = 356000 m given v = 20 m/s 20 = sqrt(6.67*10^-11*M/356000) M = 0.21*10^19 Kg

ID: 1609390 • Letter: 2

Question

2) Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a circular orbit at 356 km from the asteroid's center, he should maintain a speed of 20 m/s.What is the mass of asteroid X? (G = 6.67 × 10-11 N · m2/kg2)

Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a circular orbit at km from the asteroid's center, he should maintain a speed of m/s.What is the mass of asteroid X? (G = 6.67 × 10-11 N · m2/kg2)

a)0.21 × 1016 kg b)1.1 × 1017 kg c)1.1 × 1014 kg d)0.21 × 1019 kg

Explanation / Answer

orbital speed for an asteroid

v = sqrt(GM/r)

M = mass of the asteroid

r = distance of the spaceman from asteroid center = 356 km = 356000 m

given v = 20 m/s

20 = sqrt(6.67*10^-11*M/356000)

M = 0.21*10^19 Kg <<<<----answer

OPTION (d)

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2) Spaceman Speff orbits spherical asteroid X with his spaceship. To remain in a

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