Question

This speed is measured with respect to the space station the spacecraft was originally launched from. In interstellar space the gravitational pull from the stars is negligible, because the stars are extremely far. The spacecraft turns its main rocket engine on for a time period of 6.5 hours. The rocket engine provides a thrust of 896 N of force. What is the new speed of the craft after the engine is turned off? The mass of the spacecraft is 1380 kg. The rocket engine is very efficient, it uses only a very small amount of rocket fuel during this whole acceleration process without changing the mass of the craft.

Answer 1

15193.62 m/s

Step-by-step explanation:

t = Time taken = 6.5 hours

u = Initial velocity = 0 (Assumed)

m = Mass of rocket = 1380 kg

F = Thrust force = 896 N

v = Final velocity

a = Acceleration of the rocket

Force

`F=ma\\\Rightarrow a=(F)/(m)\\\Rightarrow a=(896)/(1380)\\\Rightarrow a=0.6493\ m/s^2`

Equation of motion

`v=u+at\\\Rightarrow v=0+0.6493* 6.5* 60* 60\\\Rightarrow v=15193.62\ m/s`

The velocity of the rocket after 6.5 hours of thrust is 15193.62 m/s