Well, well, well! Look at this balancing act we've got going on here! It's like a human-crate tower!
(a) Now, let's talk about the normal force that the floor exerts on the crate. We know that the crate is resting on the floor, which means there must be an equal and opposite force pushing up from the floor to keep it in place. So, the magnitude of the normal force that the floor exerts on the crate is equal to the weight of the crate. The weight is just the mass of the crate multiplied by the acceleration due to gravity (9.8 m/s²). So, the normal force would be (40.6 kg) × (9.8 m/s²).
(b) Phew, now let's move on to the crate exerting a force on the person standing on it. This is where things get a bit interesting. Since the person is standing on the crate, their weight (mass × acceleration due to gravity) is being supported by the crate. So, the magnitude of the force that the crate exerts on the person is equal to the person's weight. Therefore, it would be (69.1 kg) × (9.8 m/s²).
And there you have it! Physics meets balancing acts!