The two forces F ? 1 and F ? 2 shown in the figure ( Figure 1 ) (looking down) a

Question

The two forces F? 1 and F? 2 shown in the figure (Figure 1) (looking down) act on a 15.0-kg object on a frictionless tabletop.

F1=11.0N and F2=19.0N

1)

Find the magnitude of the acceleration of the object for (a).

2) Find the direction of the acceleration of the object for (a).

The two forces F? 1 and F? 2 shown in the figure (Figure 1) (looking down) act on a 15.0-kg object on a frictionless tabletop. F1=11.0N and F2=19.0N Find the magnitude of the acceleration of the object for (a). Find the direction of the acceleration of the object for (a).

Explanation / Answer

F net = sqrt (f1^2 + f2^2)   = sqrt (11^2 +19^2) = 21.95 N

now a = F/m   = 21.95/15 = 1.46 m/s^2

b. direction = tan^-1(19/11) = 59.9 deg from +ve x axis

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