A coordinate system (in meters) is constructed on the surface of a pool table, a
ID: 1285277 • Letter: A
Question
A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a 4.0-kg object at the origin of the coordinate system, a 8.0-kg object at (0, 2.0), and a 17.0-kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin.
magnitudeYour response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N direction
Explanation / Answer
Fx = GMm / x^2 = 6.67 x 10-11 x 4 x 17 / 4^2 = 2.83 x 10-10 N
Fy = GMm / y^2 = 6.67 x 10-11 x 4 x 8 / 2^2 = 5.34 x 10-10 N
magnitude = sqrt(Fx^2 + Fy^2) = 6.04 x 10-10 N
direction = tan-1(Fy / Fx) =62.08 degrees