Answer :
Final answer:
The work necessary to bring the 103 kg object to a height of 993 km above the surface of the earth is approximately 1,002,000,200,000 millijoules (mJ).
Explanation:
To calculate the work done in lifting the object to a height of 993 km, we need to follow these steps:
- Calculate the weight of the object using the formula: Weight = mass x acceleration due to gravity.
- Convert the height from kilometers to meters.
- Calculate the work done using the formula: Work = Force x Distance.
Let's calculate the work:
- Weight = 103 kg x 9.8 m/s^2 = 1009.4 N
- Height = 993 km x 1000 m/km = 993,000 m
- Work = 1009.4 N x 993,000 m = 1,002,000,200 J
Since we need to express the work in millijoules (mJ), we can convert it by multiplying by 1000:
Work = 1,002,000,200 J x 1000 = 1,002,000,200,000 mJ
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