Question

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

Answer 1

Total energy will be
`41.6MJ`

Which is not in the given option

Step-by-step explanation:

We have given mass m = 1 kg

Height h = 200 km = 200000 m

Speed
`v=8.9km/sec=8900 m/sec`

Acceleration due to gravity
`g=9.8m/sec^2`

We have to find the energy

Total energy will be sum of kinetic energy and potential energy

So
`E=(1)/(2)mv^2+mgh=(1)/(2)* 1* 8900^2+1* 9.8* 200000=3.96* 10^11+1960000=41.6* 10^6J=41.6MJ`

Which is not in the given option