The $20-lb$ collar starts from position A with a velocity $v_A=10f\frac{t}{sec}$ and slides along the fixed rod

in a horizontal plane under the action of a constant force $P=10lb.$ The coefficient of the kinetic

friction between the collar and the rod is $0\mathrm{.}4.($a$)$ If $d=6ft,$ calculate the speed of the collar as it

strikes the spring. $($b$)$ If $k=50l\frac{b}{f}t,$ determine the maximum deflection of the spring.

$f\frac{t}{sec,}=1\mathrm{.}35ft$