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(D) For the velocity to be uniform,the acceleration of the body must be zero.According to Newton's second law,$\vec{F}_{net} = m\vec{a}$. If $\vec{a}

Vedclass · Accepted Answer

$-5\hat{i} + 9\hat{j}$

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(D) For the velocity to be uniform,the acceleration of the body must be zero.According to Newton's second law,$\vec{F}_{net} = m\vec{a}$. If $\vec{a} = 0$,then $\vec{F}_{net} = 0$.Therefore,the sum of all forces acting on the body must be zero:$\vec{F}_1 + \vec{F}_2 + \vec{F}_3 = 0$Substituting the given values:$(2\hat{i} - 5\hat{j}) + (3\hat{i} - 4\hat{j}) + \vec{F}_3 = 0$$(2 + 3)\hat{i} + (-5 - 4)\hat{j} + \vec{F}_3 = 0$$5\hat{i} - 9\hat{j} + \vec{F}_3 = 0$$\vec{F}_3 = -(5\hat{i} - 9\hat{j})$$\vec{F}_3 = -5\hat{i} + 9\hat{j}$

$A$ body is moving under the action of two forces $\vec{F}_1 = 2\hat{i} - 5\hat{j}$ and $\vec{F}_2 = 3\hat{i} - 4\hat{j}$. Its velocity will become uniform under an additional third force $\vec{F}_3$ given by:

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