求解一道关于碰撞的物理题

2025-01-02 06:06:49
推荐回答(4个)
回答1:

以原来A速度为Y轴正方向,垂直A原速度方向且与后A速度成锐角为X轴正方向,设B与Y轴夹角为t,A,B后来速度为Va,Vb列方程
Y轴方向动量守恒:mVa.cos30+mVb.cost=mVa
X轴方向动量守恒:mVa.sin30+mVbsint=0
机械能守恒:1/2mV。^2=1/2mVa^2+1/2mVb^2
t,Va,Vb三未知数对应三个方程可解答案

回答2:

假设a速度V1 b速度V2 b运动方向与a开始运动方向夹角α
根据a开始运动方向上动量守恒 垂直运动方向动量守恒 和能量守恒 得出三个公式
mv=mv1cos30+mv2cosα 此为运动方向上动量守恒
mv1sin30=mv2sinα 此为垂直运动方向上动量守恒
mv^2/2=mv1^2/2+mv2^2/2 能量守恒
因为v1不是整数以及带入根号数值时数据不整 取位后误差较大 没能直接得到正好的角度
经计算 V2约等于8.748 α约等于45 V1约等于12.3

回答3:

解:设v0=15.1m/s ,碰后A的速度为v1,B的速度为v2.
初速度方向动量守恒: mv0=mv1cos30°+mv2cosθ
垂直初速度方向上动量也守恒: mv1sin30°=mv2sinθ
弹性碰撞不损失机械能,由机械能守恒: mv0^2/2=mv1^2/2+mv2^2/2

三个方程联立求解v1 v2 θ

回答4:

用矢量求解
Va=Vb=15.1÷根号3=。。。。
b速度方向与a的关于a原速度方向对称

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