Question

In: Physics

Halley’s comet has a mass of 3 x 10 14 kg, and when at its closest...

Halley’s comet has a mass of 3 x 10 14 kg, and when at its closest approach to the sun (8.79 x 10 7 km) is moving at a speed of 55 km/s. What then will be the comet's speed when it is passing Earth’s orbit?

Solutions

Expert Solution

Potential energy of the comet when it is closest to sun

Where Ms  is the mass of the Sun(1.989 × 1031 kg)

mc = 3 × 1014 kg , R = 8.79 × 1010 m

Initial Kinetic energy of the comet,

Potential energy of the comet when it is passing the orbit of earth

Where RE is the distance of the earth from the sun equal to 1.496 × 1011 m.

Final kinetic energy of the comet

By law of Conservation of energy,

Therefore, comet's speed when it is in earth's orbit,


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