Question $1(7$ pts$)$

An applied force is applied to a $5$ kg object that is sitting on a frictionless surface. The applied force is

$F(x)=8+0\mathrm{.}5$xvec$(i)N$

The box begins at rest and is displaced in the x $-$direction from $x=0m$ to $x=10m$

$($a$)$ What is the object's speed at $x=5m?$

$($b$)$ Suppose that at $x=10m$ the object slides up an incline that has the shape of a quarter$-$pipe of radius $1$ m $.$ The object experiences $4$ N of friction along the pipe.

Does the object make it all the way up the quarter$-$pipe?

$($c$)$ What if the quarter$-$pipe were replaced with a ramp of height $1$ m $.$ Would that affect the final height achieved by the object? Why?

ANSWFR $(1$ nt$)$