Answer
a). $1.08m/s^{2}$
b). $0m/s^{2}$
Work Step by Step
Maximum value of static friction =$0.5\times50\times9.8=245N$
a). Since applied force is greater than maximum value of static friction, the object must be in motion.
So, $a=\frac{F-coefficient\, of\, kinetic\, friction \times 50\times9.8}{50}=\frac{250-0.4\times 50\times9.8}{50}=1.08m/s^{2}$
b). Since the force applied is less than static friction force, object will be at rest. So, $ a=0m/s^{2}$