$2\mathrm{.}20$m distance.

$2.$ A $5\mathrm{.}0$ Kg object is at rest against a spring that has a spring constant of $9000\frac{N}{m}$ and has been compressed a distance of $0\mathrm{.}40$ m $.$ This is point $A$ in the figure. When released the object slides along a track that is frictionless except for a $5\mathrm{.}0$ m length section between points $C$ and $D$ where a constant frictional force of magnitude $20$ N acts on the block. Take the zero of gravitational potential energy to be the object's original height, point $A($i$.$e$.$ that's your $y=0).$ The height of point $B$ is $10$ m above point A and the height of point $E$ is $20$ m above point $A.$ Points $C$ and $D$ are at the same height as point $A.$

a$)$ Determine the speed of the block at point $B.$

b$)$ What is the speed of the block at point $C.$

c$)$ Determine the speed of the block at point $D.$

d$)$ Will the block make it to the top of hill, point $E$ where the height $=h_r=20\mathrm{.}0m?$ YOU MUST show how you arrive at your answer.

EU$-151-$F$2024-$T$3$