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Question

A wooden block of mass 60 kg and dimensions 30 cm×40 cm×50 cm is kept on horizontal floor. If P1 is the maximum pressure exerted on the floor by the block and P2 is the minimum pressure exerted on the floor by the block, then

A

3P1=5P2
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B

5P1=3P2
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C

3P1=8P2
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D

P1=3P2
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Solution

The correct option is A
3P1=5P2
Mass of the block = 60 kg

Weight of the block, F=mg=60×10=600N (Usingg=10m/s2)



Pressure exerted by the block when it is made to lie on the dimensions 50cm×40cm: PA=FA1=mg50×40=60050×40=0.3 N/cm2

Pressure exerted by the block when it is made to lie on the dimensions 40cm×30cm:
PB=FA2=60040×30=0.5 N/cm2

Pressure exerted by the block when it is made to lie on the dimensions 50cm×30cm:


Pc=FA3=60050×30=04 N/cm2

Maximum pressure, PB=0.5N/cm2=P1
Minimum pressure, PA=0.3N/cm2=P2P1P2=0.50.33P1=5P2

Hence, the correct answer is option (a).

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