3. At the surface of the earth the acceleration of gravity has the value g = 9.8 m/s². The constant of universal gravitation is given by G 6.67 × 10-11 N. m²/kg. Answer the following questions.
(1) The radius of the earth is 6.4 x 103 km. Find the mass of the earth using the values of g and G.
(2) An object can escape from the gravitational attraction of a planet if the object has a large enough speed. The minimum value of this speed is called the escape speed. Find the escape speed of the earth.
(3) The mass of Jupiter is about 320 times larger than the earth and the radius of Jupiter is about 11 times larger than the earth. What is the ratio of the escape speed from Jupiter to that of the earth?
(4) A satellite moves in a circular orbit around the earth. If the satellite's orbital period is equal to the Earth's rotational period, what is the radius of the satellite's orbit?
3. At the surface of the earth the acceleration of gravity has the value q=9.8 m/s2. The constant of universal gravitation is given by G =6.67 10-11 N. m/kg2. Answer the following questions.
(1) The radius of the earth is 6.4 103 km. Find the mass of the earth using the values of g and G.
(a) 6.0 1024 kg
(b) 6.0 1018 kg
(c) 6.0 1030 kg
(d) 2.0 1030 kg
(e) 2.0 1036 kg
(f) 2.0 x 1024 kg
2 An object can escape from the gravitational attraction of a planet if the object has a large enough speed. The minimum value of this speed is called the escape speed. Find the escape speed of the earth.
(a) 1.110m/s
(b) 1.1103m/s
(c) 1.110m/s
(d) 7.9 102m/s
(e) 7.9 103m/s
(f)
7.9 10m/s
3) The mass of Jupiter is about 320 times larger than the earth and the radius of Jupiter is about 11 times larger than the earth. What is the ratio of the escape speed from Jupiter to that of the earth?
(a) 2.1
(b) 5.4
(c) 11
(d) 18
(e) 29
(f) 320
(4) A satellite moves in a circular orbit around the earth. If the satellite's orbital period is equal to the Earth's rotational period, what is the radius of the satellite's orbit?
(a) 4.210m
(b) 4.2 107m
(c) 4.2 108m
(d) 6.4 10m
(e) 6.4107m
(f)
6.4 x 108 m