A、B两个由同种材料制成的实心正方体放在水平桌面上,对桌面的压强pA>pB,如果将A叠放在B的*,则A对B的压强应是( ) A.pA B.pB C.pA3pB2 D.pB3pA2
问题描述:
A、B两个由同种材料制成的实心正方体放在水平桌面上,对桌面的压强pA>pB,如果将A叠放在B的*,则A对B的压强应是( )
A. pA
B. pB
C.
pA3 pB2
D.
pB3 pA2
答
实心正方体对水平桌面的压强:
p=
=F S
=G S
=mg S
=ρVg S
=ρgL,ρL3g L2
则LB=
,LB=pA ρg
,pB ρg
∵pA>pB,
∴LA>LB,
A对B的压强:
pAB=
=GA SB
=
mAg SB
=ρVAg SB
=ρLA3g LB2
=ρ(
)3gpA ρg (
)2pB ρg
.pA3 pB2
故选C.