Question

1) Please furnish the following definitions, carefully including the dimension of each and every quantity you introduce. For example if momentum is P-mv, then me mass, unitske. V velocity, units. m/s. Each definition is worth 5 points: Centripetal force; Rotational Kinetic Energy, Angular acceleration; Speed of a satellite in a circular orbit around a planet of mass M. 2) The planet X revolves in an approximately circular orbit around a star. The radius of its orbit is 1.496x10m. Given that the mass of the Star is 1.98892x10 kg, please find. a) The speed of planet X around the star (10 points) b) How long (in earth days) does it take X to make a revolution around the star (5 points)? Surprised? c) What is X angular velocity (in revolutions per minute) (Spoints)? Useful G 6,67428 x10 N/m kg!

Answer 1

as orbital velocity ем awer r-radius of the orbut = 1.496x10 m M - mass of the star = 1.98892 X10' i VE 6.674X10" X 1.989 x10 30 1.196x10" = 1 8.873 x 108 = 2.979 x 101 mis.

for one revolution, distance = 208=2x3.1416 x 1.496 x 10 = 9.400 x10. mm. speed = 2.979 x10 m/s. time period. Te distance speed 9.400x60" 2.9790104 = 3.155 x 107 second = 3.1558 10² days QUX 3600 = 365.2 days 2019-11-2

(o angular velocity ew= 8 - -- W= 2.979x10" 1.496x10" 21.9918107 Tad second,