When lifting up a body located at a height h relative to the zero level, its potential energy doubled.

The change in the potential energy of the body under consideration can be represented using the formula: ΔEp = m * g * Δh, where for a given problem m (body weight) and g (gravitational acceleration) are constant values. Therefore, with an increase in potential energy 2 times, the height of the body should increase 2 times.

Proof: ΔЕп / (h + Δh) = m * g = Еп1 / h.

2En1 / (h + Δh) = En1 / h.

2 / (h + Δh) = 1 / h.

2h = h + Δh.

Δh = 2h – h = h.

Answer: the height of the body in question will increase by 2 times.



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