PHYS_2014_Homework_5

# PHYS_2014_Homework_5 - PHYS2014 Benton Fall 2010 OSU...

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PHYS2014 Fall 2010 Benton OSU Physics Dept. 1 Physics 2014: General Physics I Solutions to Homework Assignment 5 Due: Friday, 8 October 2010 at the beginning of your Recitation session. 1. Astronomers predict that on Friday 13 April 2029 the asteroid 99942 Apophis is going to pass within 30,000 km of the Earth. Given the fact that, on average, the Moon is 385,000 km distant from the Earth, this asteroid is going to pass pretty darn close. 99942 Apophis has a mass of 2.7 × 10 10 kg and is expected to be traveling at a speed of 12.6 km/s relative to the Earth at the time of closest approach. What if the astronomers goofed in their calculations and the asteroid is actually going to hit the Earth? With what kinetic energy would 99942 Apophis impact the Earth in terms of megatons of TNT. A detonation of 1 megaton of TNT releases 4.2 × 10 15 J of energy. The largest nuclear weapon ever detonated (the Tsar Bomba test by the former Soviet Union) was about 50 megatons, while the largest nuclear weapon the U.S. ever detonated (the Castle/Bravo test) was 15 megatons. 2. A 5.0 kg mortar shell is fired at an angle of 35 ° with respect to the horizontal and has an initial speed of 120 m/s. Neglecting air resistance, what is the potential energy of the shell with respect to the ground at the top of its trajectory? 3. You are watching a National Geographic Special on television. One segment of the program is

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PHYS_2014_Homework_5 - PHYS2014 Benton Fall 2010 OSU...

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