DQ1B_solution - Discussion Question 1B P212, Week 1 P211...

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Discussion Question 1B P212, Week 1 P211 Review: Gravitational Forces and Superposition page 1 2 1 ˆ r 12 r 12 , F 1 2 =− G m 1 m 2 r 12 2 ˆ r 12 This problem develops skills you will need in P112 in finding the electric fields created by sets of point charges. Four particles of equal mass M are fixed at the corners of a square with sides of length a . A fifth particle has mass m and moves under the gravitational forces of the other four. (a) Find the x - and y -components of the net gravitational force on m due to the other four masses when m is located at the center of the square (left-hand figure). Hint: Draw a sketch! Use superposition and draw a vector diagram consisting of four vectors, each representing the force exerted by one of the corner particles on m . For ease of reference, label the four (equal) corner masses M 1 , M 2 , M 3 , and M 4 . Label the corresponding force vectors F 1, F 2 , etc. With the vector diagram in hand, it is vastly easier to calculate the requested components of the total force.
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DQ1B_solution - Discussion Question 1B P212, Week 1 P211...

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