Map d Sapling Learning macmillan learning An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 25.0 days on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 2.450 x 105 km and the planet has a radius of 3075 km, calculate the moon\'s radial acceleration. Number a= m/ s Previous ? Give Up & View Solution O Check Answer 0 Next H Exit Hint Solution Distance between centres of mass, R = 2.45^8m + 3.075^6m .. R = 2.48*10^8 m Periodic time, T = 25d x 24h x 3600s .. T = 2.16^6 s Angular velocity, ? = 2? / T rad/s .. .. 2?/2.16^6s .. .. ? = 2.91^-6 rad/s Radial acceleration, a = R?² .. .. (2.48^8m) x (2.91^-6rad/s)² .. .. ? a = 2.098^-3 m/s ² .

1. Map d Sapling Learning macmillan learning An undiscovered planet, many lightyears from
Earth, has one moon in a periodic orbit. This moon takes 25.0 days on average to complete one
nearly circular revolution around the unnamed planet. If the distance from the center of the moon
to the surface of the planet is 2.450 x 105 km and the planet has a radius of 3075 km, calculate
the moon's radial acceleration. Number a= m/ s Previous ? Give Up & View Solution O Check
Answer 0 Next H Exit Hint
Solution
Distance between centres of mass, R = 2.45^8m + 3.075^6m .. R = 2.48*10^8 m
Periodic time, T = 25d x 24h x 3600s .. T = 2.16^6 s
Angular velocity, ? = 2? / T rad/s .. .. 2?/2.16^6s .. .. ? = 2.91^-6 rad/s
Radial acceleration, a = R?² .. .. (2.48^8m) x (2.91^-6rad/s)² .. .. ? a = 2.098^-3 m/s ²