BMAT 2021 Section 2 Question 11

A solid cuboid has dimensions 0.20 m × 0.10 m × 0.10 m and density 2000 kg m–3. What pressure is exerted by the weight of the cuboid when it rests with the whole of one of its largest faces on horizontal ground?
(gravitational field strength = 10 N kg–1 .

Answer:


Volume of the cuboid = 0.2 x 0.1 x 0.1 = 0.002 m3
Density = 2000 kg m-3
Mass of cuboid = density x volume = 2000 x 0.002 = 4 kg
Weight = mass x gravitational field strength = 4 x 10 = 40 N
The cuboid is resting on its largest face. Therefore, the area on which it rests will have an area equal to the area of its largest face. Largest face will have the largest dimensions.
Area = 0.2 x 0.1 0.02 m
2
Pressure force / area = 40 / 0.02 2000 Pa

Sami Qamar

I’m Sami Qamar. I’m a YouTuber, Blogger, and first year med student.

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