A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.5 × 1010 m (inside the orbit of Mercury), at which point its speed is 9.2 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 × 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.)

Explanation:

Given data

At d₁=4.5×10¹⁰m the speed of comet is Vi=9.2×10⁴m/s

At d₂=6×10¹²m the speed will Vf

The work done by surrounding is zero and the energy of system at the initial state equal the energy at final state so we can apply:

Substitute the given values to find final velocity Vf

So

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no

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