Answer:
The radius of the slave piston = 14.10 cm
Explanation:
The formula to apply here is that for pressure where ;
Pressure = Force / Area
F₁ /A₁ =F₂/A₂ where ; F₁=200 N , A₁= 25 cm² , F₂ =5000 N ,A₂ =?
Apply values in the equation as ;
200/ 25 = 5000/ A₂
A₂ = 625 cm²
Formula for area is ;
A = πr²
625 = π * r²
625/π = r²
√625/π =r
14.10 cm = r
F = 245N
The Acceleration of an object in a free fall is 9.8 m/s
force= 25kg X 9.8m/s
Answer:
(c) 8240 kN
Resultant hydrostatic force F = 8240 kN
Explanation:
Force can be expressed as;
F = ma
F = mg ......1
Where,
F = force
m = mass
a = acceleration
g = acceleration due to gravity
And we know that mass of an object is the product of
Density and Volume
m = pV
And volume V = area × height = Ah
m = pAh .....2
Substituting m into equation 1
F = pAhg = pghA ......3
Given;
Density of water p = 1000kg/m^3
g = 9.81m/s^2
Area A = 20m × 12m = 240m^2
h = depth/2 = 7/2 = 3.5m
Substituting the values into equation 3, we have;
F = 1000×9.81×3.5×240
F = 8240400 N
Resultant hydrostatic force F = 8240 kN
Solution:
54 / 9 = 6 boxes.