Question

Find the force, in Newtons, on a rectangular metal plate with dimensions of 4 m by 8 m that is submerged horizontally in 9 m of water. Water density is 1000 kg/m3 and acceleration due to gravity is 9.8 m/s2. If necessary, round your answer to the nearest Newton.

Answer 1

Answer:

$F \approx 3*10^6$

Explanation:

From the question we are told that:

Dimension of plate: $4 m by 8 m$

Depth submerged $d=9m$

Water density $\rho=1000 kg/m3$

Gravity $g=9.8m/s^2$

Generally the equation for Volume is mathematically given by

 $V=L*B*d$

 $V=4*8*9$

 $V=288$

Therefore The mass of Plate is

 $m=\rho*V$

 $m=1000*288$

 $m=288000kg$

Generally the equation for Force on the plate is mathematically given by

F=ma

 $F=288000*9.8$

 $F=2822400N$

 $F=2.8*10^6$

 $F \approx 3*10^6$