Dimensions of a brick are 20cm multiply 5cm multiply 3cm. What is the weight of this brick in gf. Calculate maximum and minimum pressure exerted by the brick. Density of brick material=6.5g/cm^3
Answers
Answer:
let do this as a relation mg is the wight
we ahve density that is mass by volume and pressure that is weight by area
mass is 6.5*20*5*3=1950 gram=1.96 kg and weight is 19.50
minimum pressure is 195o0/100=195
and maximum is 1300
Explanation:
Weight of the brick = 1950 gf, Minimum pressure = 19.5 gf/cm² and Maximum pressure = 130 gf/cm²
Given:
Dimensions of brick = 20 cm x 5 cm x 3 cm
Density of brick = 6.5 g/cm³
To find: weight of brick in gf
Maximum and minimum pressure exerted by the brick
Solution:
Volume of brick = 20 cm x 5 cm x 3 cm = 300 cm³
Density of brick = 6.5 g/cm³
⇒ Mass of brick = 6.5 x 300 = 1950 g
⇒ Weight of the brick = 1950 gram-force
Now,
pressure = force/area
⇒ if force is constant, then the minimum area will exert maximum pressure and the maximum area will exert minimum pressure (inverse proportionality)
⇒ Minimum area = 20 x 5 = 100 cm²
Maximum area = 5 x 3 = 15 cm²
⇒ Minimum pressure = 1950/100 = 19.5 gf/cm²
Maximum pressure = 1950/15 = 130 gf/cm²
∴ Weight of the brick = 1950 gf, Minimum pressure = 19.5 gf/cm² and Maximum pressure = 130 gf/cm²