Question
Question: A tank of base area 4 m<sup>2</sup> is initially filled with water up to height 2 m. An object of un...
A tank of base area 4 m2 is initially filled with water up to height 2 m. An object of uniform cross-section 2 m2 and height 1 m is now suspended by wire into the tank, keeping distance between base of tank and that of object 1 m. Density of the object is 2000kg/m3. Take atmospheric pressure 1 × 105N/m2; g = 10 m/s2
The upward force exerted by the water on the bottom surface of the water is :
A
2.1 × 105N
B
2.2 × 105N
C
2.3 × 105N
D
2.4 × 105N
Answer
2.3 × 105N
Explanation
Solution
Pressure at the base of object = P0 + 1.5 × 1000 × 10
= 1.15 × 105N/m2 F = 2 × 1.15 × 105= 2.3 × 105N