PotW_3_Spring2012

# PotW_3_Spring2012 - & F . d. Which of the components of...

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PHYS 172 Problem of the Week #3 – Spring 2012 The diagram above (not to scale) shows an asteroid passing near Earth. At the instant shown, the Earth is at position <0, 0, 0>, the asteroid is at 1.7 × 10 8 ,1.1 × 10 8 ,0 m , and the asteroid has a momentum of p ast = 2.4 × 10 16 ,0,0 kg m / s . The Earth’s mass is 6 x 10 24 kg, and the asteroid’s mass is 2 x 10 13 kg. a. On the diagram, draw an arrow representing the gravitational force vector on the asteroid due to the Earth. Label this arrow F Earth . b. On the diagram, draw an arrow representing the component of the gravitational force on the asteroid that is parallel to its momentum. This arrow must be drawn to the same scale as the arrow you drew for part a. Label this arrow F || . Earth Y X p ast

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c. On the diagram, draw an arrow representing the component of the gravitational force on the asteroid that is perpendicular to its momentum. This arrow must be drawn to the same scale as the arrow you drew in part a. Label this arrow
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Unformatted text preview: & F . d. Which of the components of the force & F || or & F , is responsible for changing the direction of the asteroids momentum? e. At the instant shown, is the magnitude of the asteroids momentum increasing, decreasing, or not changing? If you answered that the magnitude of the asteroids momentum is changing, which component(s) of the force is (are) responsible for the change? f. Calculate the gravitational force on the asteroid due to the Earth. Show all steps in your work, and express your answer as a three-component vector. g. What is the momentum of the asteroid 10 hours, or 3.6 x 10 4 seconds later? Show all steps in your work and express your answer as a three-component vector. You may assume that this is a relatively short period of time. h. What is the new position of the asteroid 10 hours later? Show all steps in your work and express your answer as a three-component vector....
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## This note was uploaded on 02/06/2012 for the course PHYS 172 taught by Professor ? during the Spring '08 term at Purdue University-West Lafayette.

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PotW_3_Spring2012 - & F . d. Which of the components of...

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