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

实心正方体对水平桌面的压强:
p=

F
S
=
G
S
=
mg
S
=
ρVg
S
=
ρL3g
L2
=ρgL,
则LB=
pA
ρg
,LB=
pB
ρg

∵pA>pB
∴LA>LB
A对B的压强:
pAB=
GA
SB
=
mAg
SB
=
ρVAg
SB
=
ρLA3g
LB2
=
ρ(
pA
ρg
)
3
g
(
pB
ρg
)
2
=
pA3
pB2

故选C.