试题与答案

物理学中库仑定律和万有引力定律有相似的表达形式.对带异种电荷的两粒子组成的系统而

题型:问答题

题目:

物理学中库仑定律和万有引力定律有相似的表达形式.对带异种电荷的两粒子组成的系统而言,若定义相距无穷远处电势能为零,则相距为r时系统的电势能可以表示为E p=-k

Q1Q2
r

(1)若地球质量为m1,某人造地球卫星质量为m2,也定义相距无穷远处引力势能为零,写出当地心与卫星相距R时该系统引力势能表达式.(地球可看作均匀球体,卫星可看成质点)

(2)今有一颗卫星贴着地球表面绕行时速度大小为v=7.90km/s,当该卫星在离地面高度为h=3R处绕行时,绕行速度v为多大?(R为地球半径)

(3)若在离地面高度为3R处绕行的卫星质量为1t,则至少需要对该卫星补充多大的能量才能使其脱离地球的束缚?

答案:

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