如圖所示,A、B兩個(gè)正方體,它們的邊長(zhǎng)之比為2:1,密度之比為4:3,先將B放在水平桌面上,再將A疊放在B的正上方,則A對(duì)B的壓強(qiáng)與B對(duì)桌面的壓強(qiáng)之比pA:pB為( ?。?img src="http://hiphotos.baidu.com/zhidao/pic/item/4afbfbedab64034f041781b0acc379310b551da9.jpg">
A. 8:35
B. 16:35
C. 32:35
D. 35:32
設(shè)兩正方形的密度為ρ
A和ρ
B,則ρ
A=4ρ,ρ
B=3ρ,物體B邊長(zhǎng)為a,則物體A邊長(zhǎng)為2a,當(dāng)它們都放在同一水平面上時(shí),
F=G,則F
A=m
Ag=4ρ(2a)
3g=32ρa(bǔ)
3g,F(xiàn)
B=3ρa(bǔ)
3g,
s
A=4a
2,s
B=a
2,
A對(duì)B的壓強(qiáng)P
A=
=
=32ρa(bǔ)g,
B對(duì)桌面的壓強(qiáng)P
B=
=
=35ρa(bǔ)g,
則A對(duì)B的壓強(qiáng)與B對(duì)桌面的壓強(qiáng)之比p
A:p
B=
=
,
故選C.