A cube of side x rests on the floor given that the pressure exerted by this cube on the floor is P, what is the pressure exerted by another cube of the same material of side 4x?
Take g=10N/Kg
Answers
Answer:
4P
Explanation:
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Answer:
4P
Explanation:
FOR THE SMALLER CUBE
let density of cube = d
volume of cube = x³
base area = x²
mass = density × volume = dx³
force exerted = weight of cube = mass × g
= dx³g
presssure exerted = (force exerted)/(basal area)
P = (dx³g)/x²
⇒ P = dxg ----- (1)
FOR THE BIGGER CUBE
∵ big cube is made up of same material as small cube
density = d
volume = (4x)³ = 64x³
base area = (4x)² = 16x²
mass = density × volume = 64dx³
force exerted =weight of cube = mass × g
= 64dx³g
presssure exerted = (force exerted)/(basal area)
= (64dx³g)/16x²
= 4dxg
= 4P (from equation 1)
∴ pressure exerted by another cube of the same material was 4P