A comet of mass $m_c = 3.2 \times 10^{14}\,\text{kg}$ is orbiting a star with mass $m_s = 1.8 \times 10^{30}\,\text{kg}$. The comet’s orbit is elliptical. At its closest point, the comet is a distance $r_1 = 8.3 \times 10^{10}\,\text{m}$ from the star, and at its farthest point, the comet is a distance $r_2 = 4.9 \times 10^{11}\,\text{m}$ from the star. What is the change in the kinetic energy of the comet as it moves along its orbit from distance $r_2$ to distance $r_1$ from the star?

Question

A comet of mass $m_c = 3.2 \times 10^{14}\,\text{kg}$ is orbiting a star with mass $m_s = 1.8 \times 10^{30}\,\text{kg}$. The comet’s orbit is elliptical. At its closest point, the comet is a distance $r_1 = 8.3 \times 10^{10}\,\text{m}$ from the star, and at its farthest point, the comet is a distance $r_2 = 4.9 \times 10^{11}\,\text{m}$ from the star. What is the change in the kinetic energy of the comet as it moves along its orbit from distance $r_2$ to distance $r_1$ from the star?(a) $5.4 \times 10^{12}\,\text{J}$
, (b) $7.8 \times 10^{22}\,\text{J}$
, (c) $3.8 \times 10^{23}\,\text{J}$
, (d) $4.6 \times 10^{23}\,\text{J}$
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