Question

Four forces, each of magnitude $10N$ are acted on an object of mass $5kg$.Which of the following value of resulting acceleration is not possible?

• A. $0m/s^2$
• B. $2m/s^2$
• C. $4m/s^2$
• D. $8m/s^2$
• E. $10m/s^2$

Answer 1

The correct option is E $10m/s^2$

Out of four forces if two are opposite then net force $F=10+10-10-10=0$

Using $a=F/m$ , the acceleration will be zero.

If one is in opposite , then $F=20$ and $a=20/5=4m/s^2$

If two are in opposite and make angle 60 with remain two then $F=10+10-10cos60-10cos60=10N$

Then $a=10/5=2m/s^2$

If force are in same direction then $F=40$ and $a=40/5=8m/s^2$

Here maximum net force is 40N and it can not be 50N

So $a=10m/s^2$ is not possible.