How Long to Accelerate a Projectile to Orbital Speed?

[kiwisj]

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0 kg projectile from rest to a speed of 4.29 km s-1. The net force accelerating the projectile is 0.47 MN. How much time is required for the projectile to come up to speed? (Answer to 2 s.f.)

I have absolutely no idea how to do this...Any help is appreciated! Thanks

 

[CompuChip]

Welcome to PF kiwisj.

Have you learned about impulse?
Can you give a definition or some relevant formula for it? Or describe in words what it is?
What units does it have?

 

[Jules18]

F = ma
F= 0.47 MN= 4.7E5 N
m= 5 kg

Plug it in and solve for a ...

a=92000 m/s^2

Δv = a * t
Δv= 4.29km/s= 4290 m/s
a=92000 m/s^2

Solve for t and I got ...

t = 0.047s