I tried but my answer came out to be something that's not even on the answer choice lol
Here is what I did
Δk = w
1/2 mv^2 = Fd
(1/2)(3)v^2 = 1*8
V= 2.3 m/s
Homework Statement
FIGURE 7-6
The force on a 3.00-kg object as a function of position is shown in Fig. 7-6. If an object is moving at 2.50 m/s when it is located at x = 2.00 m, what will its speed be when it reaches x = 8.00 m?
________
A)
2.90 m/s
B)
3.30 m/s
C)...
a = (F0 - mg(1-x/L))/m
vdx = (Fo/m)dx - uogdx + (uog/L)xdx
(1/2)v^2 = (Fo/m)x - uogx + (uog/2L)x^2
and solve for v and plug x = L
I got
√(2L(F0m−μ0g))+√μ0gL
find an expression for the block's velocity when it reaches position x=L.
Express your answer in terms of the variables L, F0, m, μ0, and appropriate constants.
Homework Statement
A block of mass m is at rest at the origin at t=0. It is pushed with constant force F0 from x=0 to x=L across a horizontal surface whose coefficient of kinetic friction is μk=μ0(1−x/L). That is, the coefficient of friction decreases from μ0 at x=0 to zero at x=L...
ohhh... yep I see it now... I didn't look at the limit like you said...
does the first term is -1/2 then since -2x^2 ]0.5 = -1/2
how about from x -1 to 1 then... how will the function become constant since there are so many variable here