Question

A block of wood of dimensions 30cmx15cmx10cm and mass 400g is kept on a
horizontal table.
a) Find the maximum and minimum pressure exerted by the object on the table if
kept with surfaces having different dimensions in S.I. unit. (take g=10m/s)
b) Also find the ratio of the minimum and maximum pressure thus obtained.​

Answer 1

Answer:

a) 266.66 N/m2, 88.88 N/m2

b 1:3

Explanation:

pressure = Force/Area.

since the weight is same, pressure is maximum when base area is minimum. i.e. A= 0.15*0.10 = 0.015 m2.

Max area= 0.3*0.15 = 0.045 m2

Force= 0.4*10= 4N

Max pressure = 4/0.015 = 266.66 N/m2

Min pressure = 4/0.045 = 88.88 N/m2

Ratio of min pressure : max pressure = 1:3