Does the Asteroid Pose a Threat to Earth?

[lovepiano25]

An asteroid is at a distance of 2 x106 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?

Please show work!

 

[TSny]

Please show work!

Exactly. That's what you're supposed to do.

You can find the rules for posting homework questions here: https://www.physicsforums.com/showthread.php?t=414380

By showing your attempt at a solution, we can better help you.

Thanks.