A mass is placed at the origin

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A 2 kg2\,\text{kg} mass is placed at the origin. A 3 kg3\,\text{kg} mass is placed on the positive yy-axis at (0,  0.30 m)(0,\;0.30\,\text{m}), and a 4 kg4\,\text{kg} mass is placed on the positive xx-axis at (0.40 m,  0)(0.40\,\text{m},\;0), all in vacuum. Find the magnitude and direction (angle with the +x+x-axis) of the net gravitational force acting on the 2 kg2\,\text{kg} mass. (Take G=6.67×10−11 N m2/kg2G = 6.67\times10^{-11}\,\text{N\,m}^2\text{/kg}^2.) (a) 5.6×10−9 N5.6\times10^{-9}\,\text{N} at 37∘37^\circ above the +x+x-axis (b) 5.6×10−9 N5.6\times10^{-9}\,\text{N} at 53∘53^\circ above the +x+x-axis (c) 2.8×10−9 N2.8\times10^{-9}\,\text{N} at 53∘53^\circ above the +x+x-axis (d) 5.6×10−9 N5.6\times10^{-9}\,\text{N} at 53∘53^\circ below the +x+x-axis

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