Two unequal forces are acting on a body. Can it ever be at rest, with respect to ground?
No, the body can never be at rest
Newton's 1st law:- A body at rest continues to be at rest or a body in motion continues to be in motion until and unless acted upon by any external force
But what if 2 external forces are acting on the body
Will this make the body move if it was at rest.
Well the answer which I think you smart people know is no.
The net force on the body is 10^i−10^i=0^i so 0 net force. Hence it as good as no force at all.
So the body won't move in this case.
Okay
So this calls for restatement of Newton's 1st law.
If the net external force on a body is 0 then it will continue to be in a state of unaccelerated motion.
Hmmm:- so now all I have to do to answer this question to see that if in the given situation in any configuration if the net external force can be made 0, because if it can be then I can say that yes the body can be at rest.
I know force is a vector so to get no net force , vector addition of 2 vectors should be a 0 vector.
From the previous chapter we know its only possible if these two vectors are equal and opposite in direction which clearly isn't this case.
So option C. the body can't be at rest. There will be a net force on the body which will make it move.