A planet orbits a star with the path shown below. a. On the axis below, draw the general shape of the graph of the planet's gravitational potential energy as it completes one orbit. Start the graph where the planet is shown in the diagram above. b. In general, the gravitational potential energy for a planet orbiting a star is given by . The maximum distance of this planet from its star is 900,000,000 km, and the minimum distance is 320,000,000 km. The mass of the planet is 5 × 1023 kg, and the mass of the star is 2 × 1030 kg. How much does the GPE change during one full orbit? c. c. A comet of mass 4 × 109 kg is pulled toward the star. If the comet's inital velocity is very small, and the comet starts moving toward the star from 600,000,000 km away, how fast is it going right before it hits the surface of the star? (Assume that it does not lose any mass by melting as it approaches the star.)

A planet orbits a star with the path shown below. a. On the axis below, draw the general shape of the graph of the planet's gravitational potential energy as it completes one orbit. Start the graph where the planet is shown in the diagram above. b. In general, the gravitational potential energy for a planet orbiting a star is given by . The maximum distance of this planet from its star is 900,000,000 km, and the minimum distance is 320,000,000 km. The mass of the planet is 5 × 1023 kg, and the mass of the star is 2 × 1030 kg. How much does the GPE change during one full orbit? c. c. A comet of mass 4 × 109 kg is pulled toward the star. If the comet's inital velocity is very small, and the comet starts moving toward the star from 600,000,000 km away, how fast is it going right before it hits the surface of the star? (Assume that it does not lose any mass by melting as it approaches the star.)