d to a horizontal spring with a spring constant. Another low$-$friction cart, also of mass,

collides with it$,$ traveling at speed vo$.$ In Scenario $1,$ the carts have hard rubber bumpers and

undergo an elastic collision. In Scenario $2,$ the carts are covered with Velcro, and stick together

when they collide. After the collision, the cart attached to the spring in Scenario $1$ oscillates with

period and amplitude and the two$-$cart system attached to the spring in Scenario $2$ oscillates

with period and amplitude. Which of the following is true?