Answer:
2160.26 N.
Explanation:
From the question,
The total energy of the woman = work done by the water.
mg(h+d) = F'×d.......................... Equation 1
m = mass of the the woman, g= acceleration due to gravity, h = height of the platform, d = depth of water reached by the woman, F'= Resistance force exerted on her by the water.
make F' the subject of the equation
F' = mg(h+d)/d............................ Equation 2
Given: m = 65.0 kg, g = 9.8 m/s², h = 11 m, d = 4.6 m.
Substitute into equation 2
F' = 65(9.8)(11+4.6)/4.6
F' = 9937.2/4.6
F' = 2160.26 N.
 
        
             
        
        
        
Answer:
6.86 * 10^8 m
Explanation:
Parameters given:
Mass of hot gas, m = 2 kg
Gravitational Force, F = 618.2 N
Mass of Alpha Centauri, M = 2.178 * 10^30 kg
The gravitational force between two masses (the hot gas and Alpha Centauri) , m and M, at a distance, r, given as:
F = (G*M*m) / r²
Where G = gravitational constant 
Therefore, 
618.2 = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / r²
=> r² = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / 618.2
r² = 4.699 * 10^17 m²
=> r = 6.86 * 10^8 m
We are told that the hot gas is on the surface of Alpha Centauri, hence, the distance between both their centers is the radius of Alpha Centauri. 
The mean radius of Alpha Centauri is 6.86 * 10^8 m. 
 
        
                    
             
        
        
        
Answer:
gravitational potential energy. 
Explanation:
Gravitational potential energy (GPE) can be defined as an energy possessed by an object or body due to its position above the earth surface. 
Mathematically, gravitational potential energy is given by the formula;

Where, 
G.P.E represents gravitational potential energy measured in Joules.
m represents the mass of an object. 
g represents acceleration due to gravity measured in meters per seconds square. 
h represents the height measured in meters. 
This ultimately implies that, anytime there is height, the object must have gravitational potential energy.
Hence, an object possesses gravitational potential energy due to its height (position) and the earth's gravitational force. 
 
        
             
        
        
        
Answer:
 x₂ = 1.33 m
Explanation:
For this exercise we must use the rotational equilibrium condition, where the counterclockwise rotations are positive and the zero of the reference system is placed at the turning point on the wall
             Στ = 0
             W₁ x₁ - W₂ x₂ = 0
where W₁ is the weight of the woman, W₂ the weight of the table.
Let's find the distances.
Since the table is homogeneous, its center of mass coincides with its geometric center, measured at zero.
            x₁ = 2.5 -1.5 = 1 m
The distance of the person is x₂ measured from the turning point, at the point where the board begins to turn the girl must be on the left side so her torque must be negative
             x₂ = 
            
let's calculate
            x₂ = 
            x₂ = 1.33 m