Question

1. In the figure below, three point particles are fixed in place in the xy plane. The three partiles sit on the corners of an equilateral triangle with sides of length a = 2.50 mm. Particle 1 has a mass m1 = 12.0 kg, particle 2 has a mass m2 = 18.0 kg, and particle 3 has a mass m3 = 15.0 kg. m --- -- 1 m3 (a) What is the magnitude and direction of the net gravitational force exerted on particle 1 by the other two particles? b) What is the magnitude and direction of the gravitational field at point P shown on the figure? 2. Four particles are fixed in place in the figure below. The particles have masses of mı = m2 = 5.00 g, m3 = 3.00 g, and m4 = 12.0 g. +y (a) If the distance d= 5.00 um, what is the magnitude of the net M4 OT gravitational field at point P due to all four particles? id (b) If the distance d = 5.00 um, what is the magnitude of the net m3 + gravitational force exerted on particle 1 by the other three particles? ild m mi Pil 4 m2 PLI--0-- tx d ta

Answer 1

a 2.5mm m, 12 Ka a m2 18 Ka, m3 = 15 K A I a 6.67x10x 12x18 (2-5x163) 6.67x10-12x15 2-5X16 F,G. mim a F G.m, m3 1.१२x1० a2 F, and Fa auing at 60' Fret Fet3.67 x loN maken an amat d trom F,. tFnt Fi un 60 tam 1663 2.31+1.92x13 3.27 27 from AB ь) АРаа E2 E. Rsadue thu Componemds E 3 ExE,E30' +E 3 30 Ex (4 -6.67xlo 2.5xl0 2+ le xo.866 + 15x0.866 + Ex Ex -433 x10-4 N/k Ey En30 -E3 din 30 18-15 -0.16x16 Ey 6.67x101 2x(2.5x16) Enst ExEy Enut 4.3x l0 N| K 4.33)(o.1) to4 tam - o.1G 4.33 2.1