(a) The normal force exerted by the floor on each hand is approximately 251.5 N.
(b) The normal force exerted by the floor on each foot is approximately 251.5 N.
In this scenario, where a person is doing push-ups, the normal forces exerted by the floor on each hand and each foot can be determined by considering the equilibrium of forces. Since the person is holding a static position, the upward normal force must balance the downward force due to gravity (weight). The weight of the person is given as W=503N.
(a) For each hand, the normal force exerted by the floor must balance half of the person's weight since there are two hands. Therefore, the normal force on each hand is approximately 503N/2, yielding about 251.5N.
(b) Similarly, for each foot, the normal force must balance the other half of the person's weight. Hence, the normal force on each foot is also approximately 251.5N. This equilibrium in normal forces allows the person to maintain a stable position while performing push-ups.