The statement "The effect of the Coriolis force is not very noticeable on everyday objects moving along the Earth's surface" is generally true. The Coriolis force is a result of the Earth's rotation and causes objects moving in a straight path to appear to curve to the right in the Northern Hemisphere and to the left in the Southern Hemisphere. However, its effect on everyday objects moving at typical speeds and distances on the Earth's surface is minimal and not easily noticeable.
The statement "For the apparent weight of a passenger in an elevator to be equal to zero, the elevator must accelerate upward at 9.80 m/s^2" is false. The apparent weight of a person in an elevator can be zero when the elevator is in free fall or in a state of weightlessness. This can occur when the elevator is accelerating downward at the same rate as gravity (9.8 m/s^2) or when the elevator is in outer space where there is no gravity. To have an apparent weight of zero when the elevator is moving upward, the elevator must accelerate at a rate greater than 9.8 m/s^2.