A Vulcan spaceship has a mass of 65,000 kg and a Romulan spaceship is twice as massive. Both have engines that generate the same total force of 9.5 x 10^6 N. Neglecting any changes in mass due to whatever is expelled by the engines, calculate the kinetic energy and momentum of each spaceship if each spaceship fires its engines for 100s, starting from rest.
The Attempt at a Solution
First I dealt with the Vulcan:
F=ma--> F/m=a 9.5 x 10^6 N/ 6.5 x 10^4 kg= 146 m/s^2
Vf-Vi=a(delta-t) Vf=146m/s^2(100s)=14600 m/s^2
K=1/2mv^2=1/2(6.5 x 10^4kg)(14600 m/s)^2= 6.93 x 10^12 J
p=mv=(6.5 x 10^4kg)(14600m/s)=9.49x10^8 kg m/s
I just need to know... Am I on the right track? Are there factors I'm not taking into account?