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Professional ApplicationThe Moon’s craters are remnants of
Chapter 8, Problem 40(choose chapter or problem)
Problem 40PE
Professional Application
The Moon’s craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 5.00×1012 kg (about a kilometer across) strikes the Moon at a speed of 15.0 km/s. (a) At what speed does the Moon recoil after the perfectly inelastic collision (the mass of the Moon is 7.36×1022 kg ) ? (b) How much kinetic energy is lost in the collision? Such an event may have been observed by medieval English monks who reported observing a red glow and subsequent haze about the Moon. (c) In October 2009, NASA crashed a rocket into the Moon, and analyzed the plume produced by the impact. (Significant amounts of water were detected.) Answer part (a) and (b) for this real-life experiment. The mass of the rocket was 2000 kg and its speed upon impact was 9000 km/h. How does the plume produced alter these results?
Questions & Answers
QUESTION:
Problem 40PE
Professional Application
The Moon’s craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 5.00×1012 kg (about a kilometer across) strikes the Moon at a speed of 15.0 km/s. (a) At what speed does the Moon recoil after the perfectly inelastic collision (the mass of the Moon is 7.36×1022 kg ) ? (b) How much kinetic energy is lost in the collision? Such an event may have been observed by medieval English monks who reported observing a red glow and subsequent haze about the Moon. (c) In October 2009, NASA crashed a rocket into the Moon, and analyzed the plume produced by the impact. (Significant amounts of water were detected.) Answer part (a) and (b) for this real-life experiment. The mass of the rocket was 2000 kg and its speed upon impact was 9000 km/h. How does the plume produced alter these results?
ANSWER:
Solution 40PE:
Step 1 of 5:-
In this problem, we need to find the recoiling velocity of moon after an inelastic collision, the kinetic energy lost. From these, again we can predict some important things.
The mass of the moon is, .
The mass of the asteroid is, .
The moon was at rest in the beginning which is our assumption.
So, .
The initial velocity of the asteroid was, .
.
a)