问题 计算题

如图所示,小球从高为h的斜面上的A 点,由静止开始滑下,经B点在水平面上滑到C点后停止,现在要使物体由C点沿原路径回到A点时速度为零,那么必须给小球以多大的初速度?(设小球经过B点处无能量损失)

答案

解:以小球为研究对象,在斜面上和水平面上它都受到重力、支持力、摩擦力三个力作用,在整个运动过程中支持力始终垂直于运动方向不做功,重力做正功,摩擦力做负功,由动能定理可知在下滑到C点静止的过程中有:W-W=0,

所以W= W=mgh,

当它沿原路径返回时,摩擦力所做负功与滑下过程完全相同,而此时重力也做负功,由动能定理得:- W- W=0 - ,所以=2W=2mgh,

解得

即要使小球从C点沿原路径返回到A点时速度为零,必须给小球以的初速度.

完形填空
完形填空。
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