The figure shows an overhead view of a 0.021 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless
table. Force $\vec{F}_1$ has a magnitude of 3 N and is at $\theta_1 = 33^\circ$. Force $\vec{F}_2$ has a magnitude of 4 N and is at $\theta_2 = 25^\circ$. In unit-vector notation,
what is the third force if the lemon half (a) is stationary, (b) has the constant velocity $\vec{v} = (13\hat{i} - 11\hat{j})$ m/s, and (c) has the
$\vec{a} = (13t\hat{i} - 15t\hat{j})$ m/s$^2$, where t is time?
(a) Number
i
-6.2
i+ i
-3.3
jUnits
N
(b) Number
i
-6.2
i+i
-3.3
j Units N
(c) Number
i
-5.9
i+ 1 -3.5
jUnits
N
