(Solved): There are two shopping carts in a grocery store parking lot. Cart Sis stopped when Cart \( A \), w ...

There are two shopping carts in a grocery store parking lot. Cart Sis stopped when Cart \( A \), with a speed w bumps into Cart Sfrom the back. The collision is considered completely elastic and assume the motion occurs along one direction (along the \( x \)-axis.) Cart \( A \) has a mass of \( m_{A} \) and Cart Shas a mass of \( \mathrm{m}_{\mathrm{s}} \) a) Find an expression for Cart Svelocity after the collision with the given quantities. Include both magnitude and direction of velocity. Show all your work. b) Right after the collision Cart Swants to take a sharp turn without sliding off the curve. Assume the coefficient of static and kinetic friction with the floor are \( \mu \mathrm{s} \) and \( \mu \mathrm{k} \), respectively. What is the minimum curve radius the cart can take without sliding?