科学 (19 18:59:3) 甲、乙两个实心物体,甲的密度是乙的2/5,乙的质量是甲的2倍,则甲的体积是乙的体积的:[ ]A.4/5倍 B.2倍 C.5/4倍 D.1/2倍
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![科学 (19 18:59:3) 甲、乙两个实心物体,甲的密度是乙的2/5,乙的质量是甲的2倍,则甲的体积是乙的体积的:[ ]A.4/5倍 B.2倍 C.5/4倍 D.1/2倍](/uploads/image/z/439351-7-1.jpg?t=%E7%A7%91%E5%AD%A6+%2819+18%3A59%3A3%29%26%23160%3B%E7%94%B2%E3%80%81%E4%B9%99%E4%B8%A4%E4%B8%AA%E5%AE%9E%E5%BF%83%E7%89%A9%E4%BD%93%2C%E7%94%B2%E7%9A%84%E5%AF%86%E5%BA%A6%E6%98%AF%E4%B9%99%E7%9A%842%2F5%2C%E4%B9%99%E7%9A%84%E8%B4%A8%E9%87%8F%E6%98%AF%E7%94%B2%E7%9A%842%E5%80%8D%2C%E5%88%99%E7%94%B2%E7%9A%84%E4%BD%93%E7%A7%AF%E6%98%AF%E4%B9%99%E7%9A%84%E4%BD%93%E7%A7%AF%E7%9A%84%EF%BC%9A%5B+%5DA%EF%BC%8E4%2F5%E5%80%8D%26%23160%3BB%EF%BC%8E2%E5%80%8D%26%23160%3B%26%23160%3BC%EF%BC%8E5%2F4%E5%80%8D%26%23160%3BD%EF%BC%8E1%2F2%E5%80%8D)
科学 (19 18:59:3) 甲、乙两个实心物体,甲的密度是乙的2/5,乙的质量是甲的2倍,则甲的体积是乙的体积的:[ ]A.4/5倍 B.2倍 C.5/4倍 D.1/2倍
科学 (19 18:59:3)
甲、乙两个实心物体,甲的密度是乙的2/5,乙的质量是甲的2倍,则甲的体积是乙的体积的:[ ]
A.4/5倍 B.2倍 C.5/4倍 D.1/2倍
科学 (19 18:59:3) 甲、乙两个实心物体,甲的密度是乙的2/5,乙的质量是甲的2倍,则甲的体积是乙的体积的:[ ]A.4/5倍 B.2倍 C.5/4倍 D.1/2倍
答案应选:C
理由:由公式P=m/v得:v=m/p
∵甲质量:乙质量=1:2
甲密度:乙密度=2:5
∴甲体积:乙体积=1/2:2/5=5:4
C
ρ甲=2/5ρ乙
m甲=1/2m乙
则V甲=m甲/ρ甲=(1/2m乙)/(2/5ρ乙)=5/4V乙
D
选C
m=ρV
V=m/ρ
V1/V2=(m1/m2)*(ρ2/ρ1)=(1/2)*(5/2)=5/4
C
ρ甲=2/5ρ乙
m甲=1/2m乙
V甲:V乙=M甲/M乙*ρ乙/ρ甲=1/2*5/2=5/4
V甲=5/4V乙