Problem_of_the_Week_3 - Problem of the Week #3 Y...

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Unformatted text preview: Problem of the Week #3 Y past Earth X 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 past = 2.4 × 1016 , 0, 0 kg ⋅ m / s. The Earth’s mass is 6 x 1024 kg, and the asteroid’s mass is 2 x 1013 kg. a. On the diagram, draw an arrow representing the gravitational force vector on the asteroid due to the Earth. Label this arrow FEarth . 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|| . 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 F⊥ . d. Which of the components of the force F|| or F⊥ , is responsible for changing the direction of the asteroid’s momentum? e. At the instant shown, is the magnitude of the asteroid’s momentum increasing, decreasing, or not changing? If you answered that the magnitude of the asteroid’s 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 104 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 12/07/2011 for the course PHYS 172 taught by Professor ? during the Fall '08 term at Purdue University-West Lafayette.

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