Question

c) What size is the gravitational force between the Moon and the Earth? (2 marks) d) What size is the Sun's gravitational field at the surface of the Sun? (2 marks)

Answer 1

Part (0) Then gravitational -magnitude of O and B force between two objects given by: G MAMB ra where, .GE Universal Gravitation constant having value 6.67 X 10" Nm²/kg ² MA,MB = masses of objects A and B distance between the centers of objects A and Be B k Now, the gravitational force size (or magnitude) between the Moon and the Earth is given by : Fs G ME MM 82 ME = mass of earth 5.972 x 1024 kg. Mma mass of moon = 7. 347 X 1022 kg. average distance between Earth and moon 3.844 X 108 m. E = (6.67X 10-11 ) X (5.972 X1024) X (7.347 X1022) (3.84710872 1.9806 X 1020 N

Part (d). The gravitational force object is given by a exerted by the sun on an G Msm 72 where, Ms = 30 X 10 a Mass of the sun = 1-989 kg. mass of the object . distance between the ho and the center of the sun and the object. on the object . The gravitational force of sunn is also given by : m X gravitational field of sun OR = mx g' . gl GMs of the object is at the surface of the sun, then the gravitational field at the surface of Sun is given by : R -g'a GMs o P R radius of sun 6.96 X 108 m g!= (6.67 X 10-" ) x (1.989 X 10 30) (6096X 10872 gi 273-87 m mis?