(b) find x and y components of the net gravitational force on m when it is locat

Question

(b) find x and y components of the net gravitational force on m when it is located at center point of right hand side of the square?

(c) check your answer to part (b) by testing at least 3 examples of limiting behavior.

(d)When mass m is located on the x-axis a distance x large compared to (a). One can use simple physical argument to see that the net force on m due to the other four particles is approx Fx= CGMmX^-2 and Fy=0 where C is a numerical constant.What is the applicable physical argument?

This problem develops skills you will need in P212 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 skies of length . A fifth particle has mass m and moves under the gravitational forces of the other four. 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 M1, M2, M3, and M4. Label the corresponding force vectors F1, F2, etc. With the vector diagram in hand, it is vastly easier to calculate the requested components of the total force.

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