Question
A coordinate system (in meters) is constructed on the surfaceof a pool table, and three objects are placed on the coordinatesystem as follows: a 2 kg object at the origin, a 3.5 kgobject at (0m,2m) and a 4.4 kg object at (3.9m, 0m). Find the restaurant gravitational force exerted on the objectat the origin by the other two object at the origin by the othertwo objects. The universal gravitational constant is 6.672 x10-11 N x m2 /kg2 . Ans. inunits of N. A coordinate system (in meters) is constructed on the surfaceof a pool table, and three objects are placed on the coordinatesystem as follows: a 2 kg object at the origin, a 3.5 kgobject at (0m,2m) and a 4.4 kg object at (3.9m, 0m). Find the restaurant gravitational force exerted on the objectat the origin by the other two object at the origin by the othertwo objects. The universal gravitational constant is 6.672 x10-11 N x m2 /kg2 . Ans. inunits of N.
Explanation / Answer
let M be the mass placed at theorigin if m' be the mass placed on X -axis at a distance of 2m G-forcealong x-axis Fx = GMm' / x^2 G - force along y-axis Fy = GMm'' / y^2 m''= 4.4kg andy = 3.9m the resultent force on teobject F = (Fx^2+Fy^2) pluggging the known values we cansolve for F