Answer:
Explanation:
The work done by the weight force is given by
W=mgh where h is the height difference between both points, since the work depends on the height of the place from which we send the rocket, we can generalize the work done to reach 160 km
W=mg(160000-h) with 160 km expressed in meters, let's take cape canaveral for example with a height of 3 m above sea level, let's take an average rocket mass as 70000 Kg
W=70000*9.8*(160000-3)=1.097*10^11 Joules
“The west-to-east rotation of the Earth causes all points on Earth (except the poles themselves) to move eastward with some velocity,” NASA
This eastward velocity is greatest at the equator with the Earth rotating at a speed of roughly 1,040 mph. This rotational speed decreases as objects move closer to the poles, up to 0 in the poles
That's the reason NASA uses Cape canaveral, since it is closer to the poles ergo giving an extra rotational velocity to the rocket to reach its destination
If we assume conservation of energy both activities take the same amount of work, reach to that height and getting to the speed needed