#### Answer

a). $T>w_{2}$ and $T

#### Work Step by Step

$w_{1}=mg=50\times9.8=490N$
$w_{2}=Mg=100\times9.8=980N$
a). For 50kg mass body, $F-(w_{1}+T)=ma$
For 100kg mass body, $T-w_{2}=Ma$
So, $T\gt w_{2}$ and $T\lt F$ as right hand side of both equation are positive, so left side must be positive also.
b). From the above 2 equations,
$F=w_{1}+(m+M)a+w_{2}$
putting all values, $F=1695N$
c). From the first equation, $T=1695-490-75=1130N$