Respuesta :
Potential energy=mass*acceleration due to gravity*height
= 8 000 000 * 9.8 * 50
= 3.92 * 10^9
The change in the potential energy of the Niagara falls is - 3.92 x 10⁹ J.
The given parameters;
- mass of the water, m = 8 x 10⁶ kg
- height of the water fall, h = 50 m.
The change in the potential energy of the waterfall is calculated as follows;
ΔP.E = mgh₂ - mgh₁
ΔP.E = mg(h₂ - h₁)
where;
- h₂ is the final height of the waterfall
- h₁ is the initial height of the waterfall
ΔP.E = 8 x 10⁶ x 9.8(0 - 50)
ΔP.E = - 3.92 x 10⁹ J
Thus, the change in the potential energy of the Niagara falls is - 3.92 x 10⁹ J.
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