Two forces A and B are applied to an object whose mass is 12.3 kg. The larger force is A . When both forces point due east, the object's acceleration has a magnitude of 0.443 m/s2. However, when A points due east and B points due west, the acceleration is 0.280 m/s2, due east. Find (a) the magnitude of A and (b) the magnitude of B.

Question

Two forces A and B are applied to an object whose mass is 12.3 kg. The larger force is A . When both forces point due east, the object's acceleration has a magnitude of 0.443 m/s2. However, when A points due east and B  points due west, the acceleration is 0.280 m/s2, due east. Find (a) the magnitude of A and (b) the magnitude of B.

Henry · Answer

Fa+Fb = M*a = 12.3 * 0.443 = 5.45 N. Fa-Fb = 12.3 * 0.280 = 3.44 N. a. Fa + Fb = 5.45. Fa - Fb = 3.44. Sum: 2Fa = 8.89. Fa = 4.45 N. b. Fa + Fb = 5.45 4.45 + Fb = 5.45. Fb = 1.00 N.