题目

Summer Programs for TeensUniversity of Maryland: TERP Young ScholarsThis program is the perfect summer camp for academically talented teenagers who want to pursue academic interests, explore career opportunities, and discover college life at the University of Maryland.During three weeks of intellectual exploration, teens can study with students who share similar interests, and communicate with some of the university’s best teachers. Upon successful completion, students can earn three college credits.Carpe Diem: The University-bound AdventureCarpe Diem supports both American and international如图所示，半径为R的14的光滑圆弧轨道竖直放置，底端与光滑的水平轨道相接，质量为m2的小球B静止光滑水平轨道上，其左侧连接了一轻质弹簧，质量为m1的小球A自圆弧轨道的顶端由静止释放，重力加速度为g，试求：（1）小球A撞击轻质弹簧的过程中，弹簧的最大弹性势能为多少？（2）要使小球A与小球B能发生二次碰撞，m1与m2应满足什么关系？