Q.

A block of wood is kept on a tabletop.  The mass of wooden block is 5 kg, and its dimensions are 40 cm x 20 cm x 10 cm.  Find the pressure exerted by the wooden block on the tabletop if it is made to lie on the tabletop with its sides of dimensions 20 cm x 10 cm.

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a

2450 Nm–2

b

2350 Nm–2

c

1450 Nm–2

d

3450 Nm–2

answer is C.

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Detailed Solution

The mass of the wooden block = 5 kg

The dimensions = 40 cm x 20 cm x 10 cm

Here, the weight of the wooden block applies a force on the tabletop.

That is, Thrust F=m×g

=5 kg×9.8 ms-2

Area of a side = length ´ breadth

=20 cm×10 cm

= 200 cm2 = 0.02m2

 From, Pressure = Force  Area 

 Pressure =49 N0.02 m2=2450Nm-2

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