2021年4月29日,中国用“长征”5B运载火箭在海南文昌航天发射场将首个空间站核心舱“天和”号成功送入太空。中国空间站包括“天和”核心舱、“问天”实验舱和“梦天”实验舱3个舱段,整体呈“T”字构型,计划于2022年全部完成发射构建。假设“天和”核心舱绕地球做匀速圆周运动(如图所示),轨道半径为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmtext%3Er%3C%2Fmtext%3E%3C%2Fmath%3E)
,运动周期为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ET%3C%2Fmi%3E%3C%2Fmath%3E)
,万有引力常量为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EG%3C%2Fmi%3E%3C%2Fmath%3E)
,地球表面重力加速度为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Eg%3C%2Fmi%3E%3C%2Fmath%3E)
,下列说法正确的是( )
- A、“天和”核心舱的线速度大小为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ev%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmi%3Eg%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
- B、地球的质量为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3EM%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmsup%3E%3Cmi%3E%CF%80%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3EG%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3ET%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
- C、在“问天”实验舱内漂浮的球形水滴不受重力作用
- D、要实现“问天”、“梦天”实验舱从低轨道与“和”核心舱对接,需使实验舱减速