General Physics I
posted by VitaX on .
A 50N force acts on a 2kg crate that starts from rest. When the force has been acting for 2 s the rate at which it is doing work is:
I found this question online so I saw the answer is 2500 Watts. What I don't understand is how to come to this conclusion. Power = Work/time. The time is known but to find Work we need both the force and distance. How do I go about finding them? I assume I have to use that mass value somewhere in here, just not sure where.

I was able to figure some things out. Like a = F/m = 50/2 = 25 m/s^2
s=Vo +.5at^2 = .5*25*2^2 = 50 m
Work = 50*50 = 2500 J
Power = Work/time = 2500/2 = 1250 W
Problem is that the answer is 2500, but the multiple choice answers are all in Watts so that has to mean Power. What did I do wrong because either way I look at it, the answer is 1250 W for Power. 
It is a pleasure to help you with this; thank you for showing your work and thought process. Thank you for using Jiskha
instantaneous Power delivered by a moving force equals:
P = force x velocity
The final velocity in this case is
Vf = (1/m)*(final momentum) = F*t/m
= 50*2/2 = 50 m/s
Power at end of interval = F*Vf = 50*50 = 2500 W
The reason you got a different number is that you were calculating the AVERAGE power during the 2 second interval. The average is half the final value while the acceleration continues.