Question

Two forces Upper FSubscript Upper A Baseline Overscript right-arrow EndScripts and Upper FSubscript Upper B Baseline Overscript right-arrow EndScripts are applied to an object whose mass is 10.6 kg. The larger force is Upper FSubscript Upper A Baseline Overscript right-arrow EndScripts. When both forces point due east, the object's acceleration has a magnitude of 0.554 m/s2. However, when Upper FSubscript Upper A Baseline Overscript right-arrow EndScripts points due east and Upper FSubscript Upper B Baseline Overscript right-arrow EndScripts points due west, the acceleration is 0.313 m/s2, due east. Find (a) the magnitude of Upper FSubscript Upper A Baseline Overscript right-arrow EndScripts and (b) the magnitude of Upper FSubscript Upper B Baseline Overscript right-arrow EndScripts.

Answer 1

Part a)

`F_A = 4.59 N`

Part B)

`F_B = 1.28 N`

Step-by-step explanation:

As we know that when both the forces are acting on the object in same direction then we will have

`F_A + F_B = ma`

as we know that

`a = 0.554 m/s^2`

m = 10.6 kg

now we will have

`F_A + F_B = 10.6(0.554)`

`F_A + F_B = 5.87 N`

Now two forces are in opposite direction then we have

`F_A - F_B = 10.6(0.313)`

`F_A - F_B = 3.32 N`

Part A)

Now we will have from above two equation

`F_A = 4.59 N`

Part B)

Similarly for other force we have

`F_B = 1.28 N`