How much energy is required to move a 1000 kg object from the Earth's surface to an altitude twice the Earth's radius?

1.250 × 10¹¹ J

Explanation:

Step 1: Given and required data

Step 2: Calculate the energy required to move the object

The energy required to move the object from the Earth's surface to an altitude twice the Earth's radius is equal to the change in the gravitational potential energy (G) between both levels. We will use the following expression.

E = G₂ - G₁

E = m × g × h₂ - m × g × h₁

where h is the altitude (h₁ = 0)

E = m × g × h₂

E = 1000 kg × 9.807 m/s² × 2 × 6.371 × 10⁶ m

E = 1.250 × 10¹¹ J

8 meters above the spring

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