Question

Suppose a satellite was orbiting the Earth just above the surface. What is its centripetal acceleration? Smaller thang Equal to 3 Larger than Impossible to say without knowing the mass A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of the acceleration due to gravity at the Earth? The acceleration of gravity on the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's? 1/6 1/16 1/2 Consider a small satellite moving in a circular orbit (radius r) about a planet (mass M). Which expression gives this satellite's orbital velocity? 12 121112-12

Answer 1

31 311 earth is u Orbital velocity of a Satellite or biting the V = GM Centripetal acceleration is 50 given by, ac = V? = CM -O And acceleration due to gravity is given by: From equation 0 and ③ we get P2 - Ricci or ac c1 [ackg Thus cento petal acceleration is smaller than g

sol" B consider R = Radius of Earth M = mass of Earth R': Radius of hypothetical planet and Mi= mass of hypothetical planet As we know, Formula for acceleration due to gravity of hypothetical planet is given by : GM' G/M/2) GM o Riz = Tariz - 8 R2 ** g = 1 0 g = 8/8 / sol" c Acceleration due to graving of Earth is given by R2 and Acceleration due to gravity of moon from equn and ② we m

M = 96 - Mm M Sol" D If a Satellite is moving in a circular orbit of radius r about a planet of M... Then expression of satellite's Orbital velocity is given by: