(Solved): A spring-loaded launcher is on a lab cart with a horizontal top surface that has a coefficient of k ...

A spring-loaded launcher is on a lab cart with a horizontal top surface that has a coefficient of kinetic friction of \( 0.0032 \) with the block. The bottom of the block within the launcher is \( 1.15 \mathrm{~m} \) above the floor. The \( 0.250 \mathrm{~kg} \) block is at rest relative to the cart when the \( 275 \mathrm{~N} / \mathrm{m} \) spring is fully compressed at \( 2.20 \mathrm{~cm} \). If the cart is moving at a constant \( 1.40 \mathrm{~m} / \mathrm{s} \) at the time when the launcher is triggered, how far horizontally from the launch point does the block land?