第二秒内。易错 (What is the magnitude of the average velocity of the particle during the second second?)
单位!!!
错误分析(你的失误)
在最后一步,你误将 M + m 写成了 M,导致动量守恒方程错误:
$$ \begin{aligned}& M v \cos \alpha = m v'\end{aligned} $$
于是错误地解出:
$$ \begin{aligned}& v' = \frac{M v \cos \alpha}{m}\end{aligned} $$
错误原因:忽略了炮弹的质量 m。发射前,炮弹和枪车一起运动,总质量应为 M + m,而不是只有枪车的质量 M。
教训:做动量守恒题时,仔细确认系统的总质量,尤其是在系统分离前后(发射前后)。
Please calculate the result completely.(differential equation)
Pay attention to how to set the unknowns.
Introduction to the basic concepts of angular momentum conservation.
https://grok.com/share/bGVnYWN5_19e5d057-e57f-41bd-9f5c-a3363af4116b