Question

Constants Periodic Table Two identical particles, each of mass m, are located on the 3 axis at = +20 and = -20 Part A Determine a formula for the gravitational field due to these two particles for points on the y axis; that is, write g as a function of y, m, 20, and so on. Express your answers in terms of the variables y, m, 20, and appropriate constants. Enter your answers separated by a comma. IVO AEO ? Sz: Sy = Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Part B At what point (or points) on the y axis is the magnitude of g a maximum value, and what is its value there? [Hint: Take the derivative dg/dy.] Express your answer(s) in terms of the variables y, m, 20, and appropriate constants. If there is more than one point, enter each point separated by a comma. IVO AE ? Ymax = Your submission doesn't have the correct number of answers. Answers should be separated with a comma. No credit lost. Try again.

Answer 1

Solution in the uploaded images

solution: Jo oo as Part A Groht Gravitational field is given by sho tho Gm -ro ہیں From figure Gm lģ) = Gim nohty 2 From figure 2x Gmx sino 2960 sind g (gu = glase - glaso=09 Sinds Jxottya Яа 2 Grm your ay (From jegure) (226 +y =) & Part B. 4

Part B For maximum, derivative is zao. day o dy d[ dy 2Gmy (30 +y = 3/4 ( (mort yaj % ) (xo tyt) 2 (26m) - 26my ² x 3 (zrezyk 0 xuty² = y²x3 xo² = 24² y = I 28 For marimum valued guajitational field, ay of yis y=( 25 ) - x -xo Part Li is zero at Minimum value of magnitude of ğ i origin.