一根轻质弹簧一端固定,用大小为F1的力压弹簧的另一端,平衡时长

一根轻质弹簧一端固定,用大小为F1的力压弹簧的另一端,平衡时长度为l1;改用大小为F2的力拉弹簧,平衡时长度为l2.弹簧的拉伸或压缩均在弹性限度内,该弹簧的劲度系数为(  )

 

A

B

C

D

答案

考点

胡克定律

分析:

根据弹簧受F1F2两个力的作用时的弹簧的长度,分别由胡克定律列出方程联立求解即可.

解答:

解:由胡克定律得 F=kx,式中x为形变量,

设弹簧原长为l0,则有

F1=kl0l1),

F2=kl2l0),

联立方程组可以解得 k=,所以C项正确.

故选C

点评:

本题考查胡克定律的计算,在利用胡克定律 F=kx计算时,一定要注意式中x为弹簧的形变量,不是弹簧的长度,这是同学常出差的一个地方.

 

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