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> 1\. 关于万有引力及其计算公式
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image1.png)
> ,下列说法正确的是( )
>
> A 万有引力只存在于质量很大的两个物体之间
>
> B 根据公式知,
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image2.png)
> 趋近于0时
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image3.png)
> 趋近于无穷大
>
> C
> 相距较远的两物体质量均增大为原来的2倍它们之间的万有引力也会增加到原来的2倍
>
> D 地球半径为
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image4.png)
> ,将一物体从地面发射至离地面高度为
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image5.png)
> 处时,物体所受万有引力减小到原来的一半,则
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image6.png)
>
>
> 【难度】\
> 简单
>
> 【答案】
>
> D
>
> 【解析】
>
> 【解答】A.
> 万有引力存在任何两个物体之间计算公式适用于质量很大的物体A不符合题意\
> \
> B.
> 对于表达式而言当两物体间距离r趋近于零时表达式不适用故万有引力F不会趋近于无穷大B不符合题意\
> \
> C. 相距较远的两物体质量增大到原来的两倍,由\
> \
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image1.png)
> \
> \
> 可知万有引力增大到原来的4倍C不符合题意\
> \
> D. 若万有引力减小到原来一半,即半径为原来的
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image7.png)
> 倍,则高度\
> \
> ![](https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/808fba88784f6a957badf6a25caba05d/media/image8.png)
> \
> \
> D符合题意。\
> \
> 故答案为D。\
> \
> 【分析】利用万有引力定律的表达式可得出结论。
>
> 【关联章节】第七章 万有引力与宇宙航行第七章 万有引力与宇宙航行 \> 2.
> 万有引力定律;
>
> 【关联知识点】经典力学的成就与局限性 \> 万有引力定律;
>
> 【关联素养点】暂无数据
>
> 【关联关键能力】暂无数据