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Two forces Fa and Fb are applied to an object whose mass is 8.0kg. The larger force is Fa. When both forces po? - Printable Version +- Twitist Forums (http://twitist.com) +-- Forum: Facebook forums (/forum-14.html) +--- Forum: General facebook and life forums (/forum-25.html) +--- Thread: Two forces Fa and Fb are applied to an object whose mass is 8.0kg. The larger force is Fa. When both forces po? (/thread-152310.html) |
Two forces Fa and Fb are applied to an object whose mass is 8.0kg. The larger force is Fa. When both forces po? - Johhny - 04-30-2014 11:44 PM Two forces Fa and Fb are applied to an object whose mass is 8.0kg. The larger force is Fa. When both forces point due east the object's acceleration has a magnitude of 0.50m/s^2. However, when Fa points due east and Fb points due west, the acceleration is 0.40 m/s^2, due east. Find the magnitude of Fa and Fb. - KiwiJoey - 04-30-2014 11:56 PM Newton's Law: F = ma. When they're pointing in the same direction F (which will be the sum of Fa and Fb) = 8.0 kg *0.50 m/s^2 = 4.0 N. When they're pointing in opposite directions, the sum of the forces will be Fa - Fb, and they will equal 8.0 kg * 0.4 m/s^2 = 3.2 N. So we have the two equations Fa + Fb = 4.0 Fa - Fb = 3.2, which we can solve simultaneously. Adding the two equations together gives 2Fa = 7.2, so Fa = 3.6 N. Substituting this into either one of the equations will give Fb = 0.4 N. |