Rick and Glen are cornered by zombies as they tend to be in each episode. In this particular episode, Glen fires a grappling hook with a rope attached up to the roof of the building they are standing beside. Glen takes a quick look at the bag the rope came in which states a maximum tension of 1000.0 N. Glen calculates that his mass 65.5 kg and Rick's mass of 80.0 kg will be too much for the rope to bear so he climbs the 10 m to the roof as quickly as he can...meanwhile the zombies edge ever closer to Rick. The zombies are almost at him so he must climb as fast as he can up the rope to avoid being bitten. To do this, he will climb with a constant acceleration. What is the minimum time in which he can scale the rope?

Question

I don't know if im doing this right but these are the steps i did:
Ft-Fg=ma (using Rick's mass)
1000-(80)(9.8)=(80)a
a=2.7

d=vit+1/2at^2
10= 1/2(2.7)t^2
t=2.7s
so it will take Rick 2.7s to scale the rope.
can someone please tell me if this is right? its part of an assignment

Answer 1

You went about this correctly. I did not check the arithmetic.