Estimate whether it takes more energy to get a satellite upto `1600 km` above the earth than to put in orbit there. Earth's radius is `6400 km`. Does your answer remain same for height `3200 km` or for height `4800 km`?
Text Solution
AI Generated Solution
To solve the problem of whether it takes more energy to get a satellite up to 1600 km above the Earth than to put it in orbit there, we will calculate the energy required for both scenarios. We will also analyze whether the answer remains the same for heights of 3200 km and 4800 km.
### Step 1: Define the Variables
- Let \( R \) be the radius of the Earth = 6400 km.
- Let \( h \) be the height of the satellite above the Earth.
- The gravitational constant \( G \) and the mass of the Earth \( M \) will be used in our calculations.
### Step 2: Calculate Energy to Raise the Satellite (E1)
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