如图所示,倾角
θ=37°的足够长的斜面固定在水平面上,斜面下端固定一挡板,劲度系数
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Ek%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmath%3E)
20 N/m的轻弹簧一端与挡板连接,另一端与质量为
m=1kg的滑块连接。绕过光滑轻质定滑轮的轻绳一端与滑块相连,另一端与质量为
M=2kg的石块相连。已知滑块与斜面间的动摩擦因数
μ=0.5,轻弹簧的弹性势能与形变量的关系为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsub%3E%3Cmrow%3E%3Cmi%3EE%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmi%3Ek%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmtext%3E++%EF%BC%8C+%3C%2Fmtext%3E%3C%2Fmath%3E)
重力加速度
g取
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmtext%3Em%3C%2Fmtext%3E%3Cmn%3E%2F%3C%2Fmn%3E%3Cmtext%3Es%3C%2Fmtext%3E%3Cmn%3E%C2%B2%3C%2Fmn%3E%3Cmtext%3E++%EF%BC%8C+%3C%2Fmtext%3E%3Cmtext%3Es%3C%2Fmtext%3E%3Cmtext%3Ei%3C%2Fmtext%3E%3Cmtext%3En%3C%2Fmtext%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmn%3E7%3C%2Fmn%3E%3Cmo%3E%C2%B0%3C%2Fmo%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmn%3E.%3C%2Fmn%3E%3Cmn%3E6%3C%2Fmn%3E%3Cmtext%3E%EF%BC%9B%3C%2Fmtext%3E%3C%2Fmath%3E)
开始时拖住石块,轻绳恰好伸直与斜面平行但无弹力,滑块恰好不上滑;现由静止释放石块,涉及的过程弹簧都在弹性限度内,则下列说法正确的是( )
![](http://tikupic.21cnjy.com/2023/12/13/7d/ce/7dce08416758be20b62d084e88b393e1.png)
- A、释放石块瞬间轻弹簧的弹性势能为 5 J
- B、石块的速度最大时轻弹簧的形变量为 1m
- C、石块的最大速度为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3Cmtext%3Em%3C%2Fmtext%3E%3Cmn%3E%2F%3C%2Fmn%3E%3Cmtext%3Es%3C%2Fmtext%3E%3C%2Fmath%3E)
- D、滑块沿斜面向上运动的最大距离为2m