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

`F \approx 3*10^6`

Step-by-step 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`