g与m尀s²与N尀kg的关系

为什么一致
2025-01-02 15:10:35
推荐回答(4个)
回答1:

g是重力加速度,m/s^2和N/kg都是它的单位

一个物体的重力G=mg G的单位是N 质量的国际单位是kg 所以g的单位是N/kg

物体在某一高度的重力势能为:E=mgh
物体在某一高度的动能为:E=1/2m^2
根据实验观察物体在某一高度的重力势能=物体在某一高度的动能,即E=1/2mv^2=E=mgh
约去一个m得1/2v^2=gh
因为在高空的物体的运动为自由落体运动,即加速度为g,初速度为0的匀加速直线运动
所以h=1/2gt^2 ,gh= 1/2(gt)^2 v=gt,1/2v^2=1/2(gt)^2
即1/2(gt)^2=1/2(gt)^2

因此,这两个单位是一致的,可以通用

希望对你有所帮助,谢谢!

回答2:

g是重力加速度,m/s^2和N/kg都是它的单位

如g=9.8m/s^2=9.8N/kg

这两个单位是一致的,可以通用

因为牛顿这个单位的定义是
1N=1 kg*m/s^2

回答3:

限额修改,

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回答4:

F=ma,所以有,N=kg•m/s²,所以N/kg=(kg•m/s²)/kg=m/s²

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