Halliday, Resnick & Walker — Force and Motion–I: Problem 22

A customer sits in an amusement park ride in which the compartment is to be pulled downward in the negative direction of a \(y\) axis with an acceleration magnitude of \(1.24g\), with \(g = 9.80 \text{ m/s}^2\). A \(0.567 \text{ g}\) coin rests on the customer’s knee. Once the motion begins and in unit-vector notation, what is the coin’s acceleration relative to (a) the ground and (b) the customer? (c) How long does the coin take to reach the compartment ceiling, \(2.20 \text{ m}\) above the knee? In unit-vector notation, what are (d) the actual force on the coin and (e) the apparent force according to the customer’s measure of the coin’s acceleration?