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Home I Student: jorge.sosa@mavs.uta.edu My Account Class Management I Help Hw7: Kepler's Laws Begin Date: 3/21/2018 12:01:00 AM .. Due Date: 4/3/2018 11:59:00 PM End Date: 4/10/2018 il:59:00 PM (13%) Problem 2: Kepler's second law states that a line drawn from the Sun to any planet sweeps out equal areas in equal time intervals. Status e for p Select all that apply view Grade Summary This law only applies to circular orbits This law depends on the magnitude of the two masses involved. This law is limited by the distance of the foci. Potential 95% tatus ompleted artial ompleted ompleted artial 2 This result comes from the fact that the gravitational force is directed towards the center of the system. Attempts remaining- 5% per attempt) detailed view This law depends on the magnitude of the gravitational force. 5% Submit I give up! Hints:-1 for a 0% deduction. Hints remaining: 0 Feedback: 2% deduction per feedback artial Think about the situation Kepler was studying, and what you know about Newton's universal law of gravitation

Explanation / Answer

Newton’s Laws tell us that the rate of change of angular momentum is equal to the torque of the forces acting on the system.  For the planet orbiting the Sun, this torque is zero: the only force acting is gravity, and that force acts in a line from the planet towards the center of the Sun and therefore has zero torque about that central point, so the planet’s angular momentum about that point must remain constant. Consequently, the rate at which area is swept out is also constant, and Kepler’s Second Law follows: equal areas are swept out in equal times.

So only option D) fact that gravitational force is directed towards the center of the system, is correct.

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