我国于2007年10月24日,在西昌卫星发射中心,将一颗探月卫星“嫦娥一号”成功发射升空,在经历14天的飞行后,“嫦娥一号”卫星接近月球,实施首次“制动变轨”,进入月球捕获椭圆轨道,又经历两次“制动变轨”,最终进入预定环月工作轨道(如图所示).                                                                                                            

(1)卫星在靠近月球前先进行变轨,在预定点处启动卫星上的喷气推进器,为使卫星从椭圆轨道进入环月飞行圆轨道,如图所示,推进器是向前喷气还是向后喷气?                                                                   

(2)若已知地球和月球的半径之比为=3.6,地球和月球表面的重力加速度之比为=6,求地球和月球的密度之比;                                                                                                                         

(3)若已知月球半径为R,月球表面处重力加速度为g,卫星在环月圆轨道上的运行周期为T,试求卫星在环月圆轨道上运行时离月球表面高度和卫星环月圆轨道处的重力加速度.                                                    

                                                        

                                                                                                                                      


高台滑雪运动员经过一段弧长为s=m的圆弧后,从圆弧上的O点水平飞出,圆弧半径R=10m,他在圆弧上的O点受到的支持力为820N.运动员连同滑雪板的总质量为50kg,他落到了斜坡上的A点,斜坡与水平面的夹角θ=37°,如右图所示.忽略空气阻力的影响,取重力加速度g=10m/s2,求:                                                   

(1)运动员离开O点时的速度大小?                                                                            

(2)运动员在圆弧轨道上克服摩擦力做的功?                                                              

(3)运动员落到斜坡上的速度大小?                                                                             

                                                                                                      

                                                                                                                                      


卫星绕地球做匀速圆周运动时处于完全失重状态,在这种环境中无法用天平称量物体的质量.于是某同学为在这种环境下,设计了如图所示的装置(图中O为光滑的小孔)来间接测量物体的质量:给待测物体一个初速度V0,使它在桌面上做匀速圆周运动.设航天器中具有基本测量工具是刻度尺和弹簧称,且V0已知.                                        

(1)物体与桌面间没有摩擦力的原因是                                                   ;                        

(2)实验时需要测量的物理量是                                                             ;                        

(3)待测质量的表达式为m=                                                          .                           

                                                                                                          

                                                                                                                                      


(1)在“探究平抛物体的运动”实验时让小球多次沿同一轨道运动,通过描点法画出小球平抛运动的轨迹.为了能较准确地描绘运动轨迹,下列说法正确的有                                                               

a.实验所用的斜槽必须尽量的光滑以减小摩擦                                                           

b.小球运动时应紧靠木板上的白纸                                                                                

c.通过调节使斜槽的末端保持水平                                                                            

d.每次释放小球的位置相同                                                                                          

e.描绘小球位置用的凹槽每次必须等距离下降                                                              

f.将球的位置记录在纸上后取下纸用直尺将点连成折线                                                      

(2)在研究平抛物体运动的实验中,用一张印有小方格的纸记录轨迹,小方格的边长L=1.25cm.若小球在平抛运动途中的几个位置如图中a、b、c、d所示,则小球平抛的初速度的计算式v0=       (用g、L表示),其值是        m/s.(取g=9.8m/s2)                                                         

                                                                                                     

                                                                                                                                      

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