What is the minimum energy needed to lift 1.0 kg to a height of200 km and to give it a speed of 8.9 km/s? (neglect the smackdecrease of "g" over the distance)a. 34 MJb. 34 GJc. 34 Jd. 34 TJe. 34 KJ

Respuesta :

Answer:

Total energy will be [tex]41.6MJ[/tex]

Which is not in the given option

Explanation:

We have given mass m = 1 kg

Height h = 200 km = 200000 m

Speed [tex]v=8.9km/sec=8900 m/sec[/tex]

Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

We have to find the energy

Total energy will be sum of kinetic energy and potential energy

So [tex]E=\frac{1}{2}mv^2+mgh=\frac{1}{2}\times 1\times 8900^2+1\times 9.8\times 200000=3.96\times 10^11+1960000=41.6\times 10^6J=41.6MJ[/tex]

Which is not in the given option