When a force F given by F=(6 hat{i}-18 hat{j} | vedclass

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(A) Given that,the force vector is $F = (6 \hat{i} - 18 \hat{j} + 10 \hat{k}) 	ext{ N}$.The magnitude of the force is calculated as:$|F| = \sqrt{(6)^

Vedclass · Accepted Answer

$\frac{\sqrt{115}}{4} 	ext{ kg}$

Vedclass · Answer

(A) Given that,the force vector is $F = (6 \hat{i} - 18 \hat{j} + 10 \hat{k}) 	ext{ N}$.The magnitude of the force is calculated as:$|F| = \sqrt{(6)^2 + (-18)^2 + (10)^2} = \sqrt{36 + 324 + 100} = \sqrt{460} 	ext{ N}$.Given acceleration $a = 8 	ext{ m/s}^2$.According to Newton's second law of motion,$F = ma$,which implies $m = \frac{F}{a}$.Substituting the values:$m = \frac{\sqrt{460}}{8} = \frac{\sqrt{4 	imes 115}}{8} = \frac{2\sqrt{115}}{8} = \frac{\sqrt{115}}{4} 	ext{ kg}$.

When a force $F$ given by $F=(6 \hat{i}-18 \hat{j}+10 \hat{k}) \text{ N}$ acts on a body,it imparts an acceleration of $8 \text{ m/s}^2$. Find the mass of the body.

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