(a) As a planet orbits its sun, how much torque does the sun's gravitational force exert on the planet? Gm planet"sun OT= 2Gm m OT= planet"sun Or=0 Gm planet"sun OT= 2r Gmplanet" sun T3= (b) As a planet orbits its sun, what is the change in the planet's orbital angular momentum? Gm AL = 'planetm sun At Gm AL = 'planet"'sun At AL = 0 Gm AL = planet" sun 2rAt O AL = Gm planet"'sun rAt

28.  An elliptical orbit can be analyzed using conservation of angular momentum and mechanical energy.  The distance between Earth, mass 5.972 × 1024 kg, and Sun, mass 1.989 × 1030 kg, varies from 147 to 152 Gm.  (a) Use the formula UG = – Gm1m2/r to find the change in potential energy that occurs moving from the farthest distance to the nearest.  (b) Given that the speed of Earth at its farthest point is 29.29 km/s, use conservation of energy to find its speed at the nearest point.  (c) Calculate the angular momentum of Earth at each extreme and show that it is equal.29.  Use concepts from the previous problem to find the speed of Pluto at each extreme of its orbit about the Sun – distance varying from 4.44  × 1012 m to 7.38 × 1012 m.  Hint:  use a system of equations based on conservation of energy and angular momentum. P.S. I already solved 28 but I don't know how to do 29.

The planet earth orbits around the sun and also spins around its own axis Part a: calculate the momentum of the earth in its orbit around sun in kg* m^/s Part b: calculate the angukae momentum of the eart spinning on it axis kg *m^2/s Part c : how many times larges is the angular momentum of the earth in its orbit than the angular momentum of the earth around axis?