Sphere A with mass 81.0 kg is located at the origin of an xy coordinate system;

Question

Sphere A with mass 81.0 kg is located at the origin of an xy coordinate system; sphere B with mass 56.0 kg is located at coordinates (0.25 m, 0); sphere C with mass 25.0 kg is located in the first quadrant 0.20 m from A and 0.15 m from B. In unit-vector notation, what is the gravitational force on A due to B and C?

Sphere A with mass 81.0 kg is located at the origin of an xy coordinate system; sphere B with mass 56.0 kg is located at coordinates (0.25 m, 0); sphere C with mass 25.0 kg is located in the first quadrant 0.20 m from A and 0.15 m from B. In unit-vector notation, what is the gravitational force on A due to B and C?

Explanation / Answer

angle CAB is 37 degress

the force between A and B is along x axis = G (81)(56)/(0.25 ^2)

force between A and C is = G(81 )(25)/(0.2 ^2) cos 37 along x axis and G(81 )(25)/(0.2 ^2) sin 37 along y axis

so net force = (7.5375 i + 2.032 j) x 10 ^-6 N

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