题目
一匀质矩形薄板,在它静止时测得其长为a,宽为b,质量为m0.由此可算出其面积密度为(m_0)/(ab).假定该薄板沿长度方向以接近光速的速度v作匀速直线运动,此时再测算该矩形薄板的面积密度则为( )A. ((m)_(0)sqrt(1-(frac(v)/(c))^2))(ab)B. ((m)_(0))/(absqrt(1-(frac(v){c))^2)}C. ((m)_(0))/(ab[1-(frac(v){c))^2]}D. ((m)_(0))/(ab[1-(frac(v){c))^2]^(3)/(2)}
一匀质矩形薄板,在它静止时测得其长为a,宽为b,质量为m0.由此可算出其面积密度为$\frac{m_0}{ab}$.假定该薄板沿长度方向以接近光速的速度v作匀速直线运动,此时再测算该矩形薄板的面积密度则为( )
A. $\frac{{m}_{0}\sqrt{1-(\frac{v}{c})^{2}}}{ab}$
B. $\frac{{m}_{0}}{ab\sqrt{1-(\frac{v}{c})^{2}}}$
C. $\frac{{m}_{0}}{ab[1-(\frac{v}{c})^{2}]}$
D. $\frac{{m}_{0}}{ab[1-(\frac{v}{c})^{2}]^{\frac{3}{2}}}$
题目解答
答案
C. $\frac{{m}_{0}}{ab[1-(\frac{v}{c})^{2}]}$