Question 32: Laws of Motion

Question

A body under the action of a force $$F = 6\widehat i - 8\widehat j + 10\widehat k$$, acquires an acceleration of 1 m/s2. The mass of this body must be

Accepted Answer

$$\begin{aligned} 	ext { Given, } \mathbf{F} & =6 \hat{\mathbf{i}}-8 \hat{\mathbf{j}}+10 \hat{\mathbf{k}} \ a & =1 \mathrm{~m} / \mathrm{s}^2 \ |\mathbf{F}| & =\sqrt{6^2+(-8)^2+10^2} \ & =\sqrt{200} \ \Rightarrow \quad|\mathbf{F}| & =10 \sqrt{2} \mathrm{~N} \ \Rightarrow \quad m a & =10 \sqrt{2} \ \Rightarrow \quad m & =\frac{10 \sqrt{2}}{a} \ & =\frac{10 \sqrt{2}}{1} \ & =10 \sqrt{2} \mathrm{~kg}\end{aligned} \quad[\because F=m a]$$

Answer

10 kg

Answer

20 kg

Answer

10$$\sqrt2$$ kg

Answer

2$$\sqrt{10}$$ kg

Laws of Motion

A body under the action of a force $F = 6\widehat i - 8\widehat j + 10\widehat k$, acquires an acceleration of 1 m/s2. The mass of this body must be

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