Question

Force $5\sqrt{2}N$ and $6\sqrt{2}N$ are acting on a mass of $1000kg$ at an angle of ${60}^{\circ }$ to each other. What is the acceleration of the mass after $10$ second from the instant the forces started acting?

• A. (a) $0.01349m/s^2$
• B. (b) $0.1349m/s^2$
• C. (c) $1.349m/s^2$
• D. (d) $13.49m/s^2$

Answer 1

The correct option is A (a) $0.01349m/s^2$

We know,

$\overrightarrow{F}=\sqrt{F_1^2+F_2^2+2F_1{F}_2\cos \theta }$

$\Rightarrow F=$$\sqrt{(5\sqrt{2}{)}^2+(6\sqrt{2}{)}^2+2\left(5\sqrt{2}\right)\left(6\sqrt{2}\right)\cos {60}^0}$

$\Rightarrow F=13.49N$

So, $a=\frac{F}{m}=\frac{13.49}{1000}=0.01349m/s^2$

Therefore, A is correct option.