如图7-6-9所示,A、B两球质量相等,A球用不能伸长的轻绳系于O点,B

如图7-6-9所示,A、B两球质量相等,A球用不能伸长的轻绳系于O点,B球用轻弹簧系于O′点,O与O′点在同一水平面上,分别将A、B球拉到与悬点等高处,使绳和轻弹簧均处于水平,轻弹簧处于自然状态,将两球分别由静止开始释放,当两球达到各自悬点的正下方时两球仍处在同一水平面上,则(    )

图7-6-9

A.两球到达各自悬点的正下方时,两球动能相等

B.两球到达各自悬点的正下方时,A球动能较大

C.两球到达各自悬点的正下方时,B球动能较大

D.两球到达各自悬点的正下方时,A球损失的重力势能较多

答案

B


解析:

A球下摆过程中只有重力做功,则A球达到悬点正下方时,动能:EkA=mgl

    B球下摆时,除重力做功外,弹簧弹力也做功,弹簧及小球B构成的系统机械能守恒,则摆到悬点正下方时有:EkB=mgl-E,故EkA>EkB,故A、C错,B正确.当两球摆到悬点正下方时,由于所处位置在同一水平面上,重力势能相等,故下摆过程重力势能变化相同,D错.

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