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The force is exactly equal to the weight of the boy, provided his feet are not resting on the floor. If they are, the force between the boy and the chair is the boy's weight minus the force between his feet and the floor.
Remember, in physics weight is a force due to gravity and not a property of matter (mass). The weight of the boy can be calculated from his mass (given that he is subject to the known gravity of earth) at roughly 10 Newtons per Kg.
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