Question

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During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass of 7.36 1022 kg; the Earth has a mass of 5.98 x 1024 kg; and the Sun has a mass of 1.99 x1030 kg. The separation between the Moon and the Earth is given by 3.84 x 108 m; the separation between the Earth and the Sun is given by 1.496 x 1011 m. (a) Calculate the force exerted on the Earth by the Moon. (3 marks) (b) Calculate the force exerted on the Earth by the Sun. (2 marks) (c) Calculate the net force exerted on the Earth by the Moon and the Sun. (2 marks)

Answer 1

mass of sun, M = 1.99 % 1030 kg mass of earth, m, = 5.98x1024 kg mass of moon, M₂=7.36810² kg Distance between moon and earth 82=3.84x108m Distance between earth and sun 8 = 1.496810"m ...... fim ...m Sun -8, 82 Gravitation force on earth by moon Earth moon fp = G m₂ m. = 6.67x10 "x 7-36x10*X5.98x1024 (3-84 X108)? = 1.99 % 1020 N = 0.02 X1022 N Gravitational force on earth by sun F = GM mi - 6167810-"x1199x103% 5.98X1024 (11496 X10")? = 3.55 x1022 N net force on earth fuet = finfz = .55X10²2 0.02% 1022 = 3.53X1022 N.