Work/Energy Conservation Problem w/ Initial Velocity

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 2K views
Bread Boy
Messages
6
Reaction score
0

Homework Statement


An applied force of 10.0N acts horizontally on a 0.50kg mass on a floor with the coefficient of friction being 0.40. If the object had an initial speed of 2.00 m/s, determine its speed at 15.0m.


Homework Equations


General Energy Conservation Formula
Ek(i) + Ep (i) + Einput(i) = Ek(f) + Ep(f) + Eoutput(f)


The Attempt at a Solution


1/2 * 0.5 * 2^2 + (10 * 15) = 1/2 * 0.5 * v^2 + ((0.4)(0.5)(9.8) * 15)
(hope I wrote it down correctly haha)
v = 22.1 m/s

Now I know the answer is supposed to be 2.21 m/s, but I have no idea how I ended up with what seems to be a decimal place in the wrong position. What gives?

Thanks in advance for the help!
 
Physics news on Phys.org
So I was correct? The solution key must have been wrong then. Thanks a bunch!