58问答库 > （2013?通州区二模）如图所示，某圆柱形容器内装有适量的水，底面积为20cm2．将物体B放入水中时，通过磅

（2013?通州区二模）如图所示，某圆柱形容器内装有适量的水，底面积为20cm2．将物体B放入水中时，通过磅

2025-05-18 02:06:42

推荐回答（2个）

回答（1）：

第一次通过磅秤测得总质量150g：则G_容器+G_水+G_B=m₁g=0.15kg×10N/kg=1.5N…①
B的体积：V=2△V=2S△h=2×20cm²×10^-4×0.01m=4×10^-5m³，
第二次此时磅秤示数为50g：则G_容器+G_水+

F_浮=m₂g=0.05×10N/kg=0.5N…②
由①-②得，G_B-

F_浮=1N…③，
B的一半体积浸入水中时比最先全部浸入水中时水面下降了1cm；
则圆柱形容器装有适量的水，底面积为20cm²，物体受到的浮力等于排开的水的重力，
即浮力F_浮=ρ_水gV_排=1.0×10³kg/m³×10N/kg×4×10^-5m³=0.4N
将F_浮=0.4N代入③，解得G_B=1.2N，则m_B=

1.2N

10N/kg

=0.12kg=120g．
则物体B的密度ρ=

120g

40cm3

=3g/cm³=3×10³kg/m³．
故答案为：3×10³．

回答（2）：

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