Raj placed an iron cuboid of dimensions 4cm× 7cm× 10 cm on a tray containing sand. If mass of cuboid is 2.24 kg, find the minimum pressure on sand as calculated by him
Answers
Raj placed an iron cuboid of dimensions 4cm× 7cm× 10 cm on a tray containing sand. If mass of cuboid is 2.24 kg, find the minimum pressure on sand as calculated by him
Explanation:
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Answer:
∴ Mass of cuboid = Volume x Density
= (4 cm x 7 cm x 10 cm) x 8 gcm-3
[∵ Volume of cuboid = l x b x h]
= 2240 g = 2.24 kg
Force applied by the cuboid on the sand
= mg = 2.24 x 10 = 22.4 N [∵ g = 10 ms-2)
Pressure will be minimum when area of the face of cuboid kept on sand is maximum, i.e. in the case of face with 7 cm x10 cm.
Area of the face = 7 cm x 10 cm =
7
100
m x
10
100
m
= 0.07 m x 0.1 m = 0.007 m2
Minimum pressure =
F
o
r
c
e
A
r
e
a
=
22.4
0.007
= 3200 Nm-2
Pressure will be maximum when area of face of cuboid kept on the sand is minimum, i.e. in the case of face with 4 cm x 7cm.
Area of the face = 4 cm x 7 cm
=
4
100
m x
7
100
m = 0.0028m2
Maximum pressure =
F
o
r
c
e
A
r
e
a
=
22.4
0.0028
= 8000 Nm-2
Explanation:
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