/sci/ - Science & Math

Didn't get my answer from the last thread in part c I am getting different answers for the power energy time and the acceleration velocity time.


ai) [math]F=m\cdot a[/math] so [math]a=\frac{F}{m}[/math] which ends up giving me an acceleration of [math]\frac{4}{3}ms^{-2}[/math]
Then [math]W=F\cdot s[/math] which gives work as 96.0J
ii) so assuming that W=E here its going to be [math]v=\sqrt{\frac{2W}{m}}[/math] which gives a speed of [math]4\sqrt{\frac{2}{3}}ms^{-1}[/math]

b) the power applied at the start is nothing right due to the initial velocity being 0 seeming it starts from rest so the ending power will be calculated as [math]P=F\cdot v[/math] which I get as [math]96\sqrt{\frac{2}{3}}W[/math]

I feel as though my calculations for velocity is wrong or something is going wrong.

Hello I am struggling with this classic mechanics question, The first part I am fine with.

ai) a=F/m so a=4/3ms^(-2)
ii)W=1/2mv^2 so v=sqrt(2W/m)=sqrt(2*96/18)=4sqrt(2/3)ms^-1
b) P_initial=F*v=24*0=0W
p_final=24*4sqrt(2/3)=96sqrt(2/3)W

Now for part c I am getting different results of time pulling due to the velocity changing, how do I go about calculating this? or have I completely fucked up as I go along now?
Thanks in advance.