The force on the hand? Well, if we list the forces acting on the hand, we should be able to find out.
1. The weight of the man's hand (mg) acting downward.
2. The force from the man's wrist acting upward.
3. The force from the mass the hand is holding up, acting downward.
Now, it would be easy to think that number 3 is also the weight of the mass. But it's not. The magnitude of the force is equal to the weight of the mass, but, crucially, if the man were to drop his hand so that his hand and the mass accelerate downward, the force of the mass on the hand would NOT be equal to the mass's weight, but a lesser amount. This force is a contact force, the normal force, like DaleSpam said.