Question

A body under the action of a force $\overline{F}=6\hat{i}-8\hat{j}N$ acquiring an acceleration of 5$m{s}^{-2}$. The mass of the body is

• A. 2 kg
• B. 5 kg
• C. 4 kg
• D. 6 kg

Answer 1

Answer: (A)

2 kg

Given: $\overline{F}=6\hat{i}-8\hat{j}N$, a= 5 $m{s}^{-2}$
$\therefore F=\sqrt{(6{)}^2+(-8{)}^2}=10N$
Mass of the body is, $m=\frac{F}{a}=\frac{10N}{5m{s}^{-2}}=2kg$