一物体从斜面顶端由静止开始匀加速下滑,经过斜面中点时速度为2m/s,则物体到达斜面底端时的速度为(   一物体从斜面顶端由静止开始匀加速下滑,他到达底端的速度是,则...

\u4e00\u7269\u4f53\u4ece\u659c\u9762\u9876\u7aef\u7531\u9759\u6b62\u5f00\u59cb\u5300\u52a0\u901f\u4e0b\u6ed1\u5230\u659c\u9762\u5e95\u7aef\uff0c\u6700\u521d3s\u5185\u7ecf\u8fc7\u7684\u8def\u7a0b\u4e3as1\uff0c\u6700\u540e3s\u5185\u7ecf\u8fc7\u7684\u8def\u7a0b\u4e3as2\uff0c\u5df2

\uff081\uff09\u7531s2-s1=1.2m\uff0cs1\uff1as2=3\uff1a7\uff0c\u5f97s2=2.1m\uff0cs1=0.9m\uff0e\u5bf9\u4e8e\u524d3s\u5185\u7684\u8fd0\u52a8\u6709\uff1as1\uff1d12at12\uff0c\u5219\u52a0\u901f\u5ea6a=2s1t12\uff1d2\u00d70.932\uff1d0.2m/s2\uff0e\uff082\uff09\u5bf9\u4e8e\u6700\u540e3s\u5185\u7684\u8fd0\u52a8\uff0c\u4e2d\u95f4\u65f6\u523b\u7684\u901f\u5ea6v\u2032\uff1ds2t2\uff1d2.13m/s\uff1d0.7m/s\uff0c\u6ed1\u5230\u659c\u9762\u5e95\u7aef\u7684\u901f\u5ea6v=v=v\u2032+at\u2032=0.7+0.2\u00d71.5m/s=1m/s\uff0e\uff083\uff09\u659c\u9762\u7684\u957f\u5ea6s=v22a\uff1d12\u00d70.2\uff1d2.5m\uff0e\u7b54\uff1a\uff081\uff09\u52a0\u901f\u5ea6\u4e3a0.2m/s2\uff1b\uff082\uff09\u6ed1\u5230\u659c\u9762\u5e95\u7aef\u65f6\u901f\u5ea6\u4e3a1m/s\uff1b\uff083\uff09\u659c\u9762\u957f\u5ea6\u4e3a2.5m\uff0e

\u597d\u4e45\u6ca1\u505a\u7269\u7406\u4e86\uff0c\u4f60\u53c2\u8003\u770b\u770b\uff1a
\u5047\u8bbe\u5230\u5e95\u7aef\u901f\u5ea6\u4e3aV\uff0c\u659c\u9762\u9ad8H
\u7531\u80fd\u91cf\u8f6c\u6362\u53ef\u77e5mgH=mV^2/2-----(1)(^\u662f\u4e58\u65b9\u7b26\u53f7\uff0c\u5e94\u8be5\u61c2\u54e6\uff1f\uff09
\u90a3\u4e48\uff0c\u5728\u659c\u9762\u4e2d\u70b9\u5904\uff0c\u8bbe\u901f\u5ea6\u4e3av,\u5219
\u7531\u80fd\u91cf\u5b88\u8861 mgH=mgH/2+mv^2/2-----(2)
\u4e24\u5f0f\u8054\u7acb\uff0cv=1.414V/2(1.414\u662f2\u5f00\u6839\u53f7\uff0c\u6211\u6839\u53f7\u6253\u4e0d\u51fa\u6765\uff0e\uff0e\uff0e\uff09
\u8fd9\u5e94\u8be5\u5c31\u662f\u7b54\u6848\u4e86\uff0e\u5e0c\u671b\u6709\u7528\uff0e\uff0e\uff0e

设物体到达底端的速度为v2,到达中点时的速度为v1,根据速度位移公式得:
v12=2a?
x
2

v22=2ax
联立两式解得:v2


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