perfectly symmetric collision, two carts collide head$-$on with a springy bumper in between them. Each cart is initially moving with a speed of $0\mathrm{.}5$m$/$s and each cart has a mass of $1\mathrm{.}5$kg$.$ The springy bumper has a constant ofk $=50$N$/$m $.$v $=0\mathrm{.}5$m$/$sv $=0\mathrm{.}5$m$/$s$1\mathrm{.}5$ kg$$a$.$ Compute the maximum energy stored in the spring.b$.$ Compute the maximum compression of the spring.