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In the early morning hours of June 14, 2002, the Earth had a remarkably dose enc

ID: 1371970 • Letter: I

Question

In the early morning hours of June 14, 2002, the Earth had a remarkably dose encounter with an asteroid the size of a small city. The previously unknown asteroid, now designated 2002 MN, remained undetected until three days after it had passed the Earth. Suppose that at its closest approach, the asteroid was 77800 miles from the center of the Earth -- about a third of the distance to the Moon. (Astronomical data needed for this problem can be found on the inside back cover of the text.) (a) Find the speed of the asteroid at closest approach, assuming its speed at infinite distance to be zero and considering only its interaction with the Earth. km/s (b) Observations indicate the asteroid to have a diameter of about 2.00 km. Estimate the kinetic energy of the asteroid at closest approach, assuming it has an average density of 3.33 g/cm^3. (For comparison, a 1-megaton nuclear weapon releases about 5.6 x 10^15 3 of energy.) 3 (a) Find the kinetic energy of a 1520-kg satellite in a circular orbit about the Earth, given that the radius of the orbit is 12,600 miles. J (b) Flow much energy is required to move this satellite to a circular orbit with a radius 4.00 times the original orbit? J A 1.490-g spider oscillates on its web, which has a damping constant of 3.30 X 10^-5 kg/s. How long does it take for the spiders amplitude of oscillation to decrease by 52.40%? s

Explanation / Answer

In the early morning hours of June 14, 2002, the Earth had a remarkably dose enc