The $3-$lb block is launched by a compressed spring $($k$=50$ lb$/$in$).$ The block is not hooked to the spring, and can leave the spring freely when the spring compression is fully released. Ignore friction. Find the minimum deformation x $($in inches$)$ of the spring so that the block can finish the roller coaster loop $($radius$=300")$ to land on the other side of the loop. Note that inches instead of ft are used in this problem.The $3-$lb block is launched by a compressed spring $(k=50l\frac{b}{i}n).$ The block is not hooked to the spring, and

can leave the spring freely when the spring compression is fully released. Ignore friction. Find the minimum

deformation $x($in inches$)$ of the spring so that the block can finish the roller coaster loop $($radius$=300")$ to

land on the other side of the loop. Note that inches instead of ft are used in this problem.