Problem $4$:

Name:

$5+9=14$ Points

Under the action of a force $P,$ as shown in Figure $4,$ an object having mass $50-kg$ starts from rest,

attains a velocity of $v=4\frac{m}{s},$ when it travels a distance of $5$ m under constant acceleration.

$($a$)$ Draw free body and kinetic diagrams of the object, label clearly for full credit, $(5$ Points$),$

$($b$)$ Determine the magnitude of the force $P,$ if coefficient of kinetic friction between the object

and ground is ${}_k=0\mathrm{.}3.(9$ Points$)$