Closest distance between the asteroid and earth


Question- An asteroid is at a distance of 2x10^6 km from earth and is moving with a speed of 10 km/s. Without gravitational pull, the asteroid would miss Earth by a perpendicular distance of 25,000 km from the center of earth.

What is the closest distance between the asteroid and Earth? Does it hit Earth? If not, will it come back to Earth again?

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Physics: Closest distance between the asteroid and earth
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